diff --git a/.Rhistory b/.Rhistory new file mode 100644 index 0000000..e69de29 diff --git a/.gitignore b/.gitignore index b86db1f..a7eae5e 100644 --- a/.gitignore +++ b/.gitignore @@ -137,4 +137,3 @@ _build/ # poetry files pyproject.toml -.DS_Store \ No newline at end of file diff --git a/book/.DS_Store b/book/.DS_Store new file mode 100644 index 0000000..8e8ba3e Binary files /dev/null and b/book/.DS_Store differ diff --git a/book/ate/did.ipynb b/book/ate/did.ipynb index 5feb084..41697db 100644 --- a/book/ate/did.ipynb +++ b/book/ate/did.ipynb @@ -2,6 +2,7 @@ "cells": [ { "cell_type": "markdown", + "id": "2fa76ef6", "metadata": {}, "source": [ "# Difference-in-Difference (DiD)" @@ -9,50 +10,4449 @@ }, { "cell_type": "markdown", + "id": "8a671f4c", "metadata": {}, "source": [ - "- Basic DiD (2X2 with 사전평행)\n", - "- Control과 함께 DiD, DML을 이용한 DiD\n", - "- Staggered DiD, 2WFE\n", - "- DDD, Event Study\n", - "- 사전 평행 추세에 대한 통계적인 검정을 확인할 수 있는 파이썬 코드 필요. (matheus facure 책에서 쉽게 찾기 어려운 것 같습니다)" + "- 출처\n", + " - 실무로 통하는 인과추론 with 파이썬" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, + "id": "f1cc97bd", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Collecting toolz\n", + " Downloading toolz-1.1.0-py3-none-any.whl.metadata (5.1 kB)\n", + "Downloading toolz-1.1.0-py3-none-any.whl (58 kB)\n", + "Installing collected packages: toolz\n", + "Successfully installed toolz-1.1.0\n" + ] + } + ], + "source": [ + "!pip install toolz" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "87e93136", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Collecting lightgbm\n", + " Using cached lightgbm-4.6.0-py3-none-macosx_12_0_arm64.whl.metadata (17 kB)\n", + "Requirement already satisfied: numpy>=1.17.0 in /Users/kimsieun/miniforge3/envs/kats_env/lib/python3.9/site-packages (from lightgbm) (1.25.2)\n", + "Requirement already satisfied: scipy in /Users/kimsieun/miniforge3/envs/kats_env/lib/python3.9/site-packages (from lightgbm) (1.13.1)\n", + "Using cached lightgbm-4.6.0-py3-none-macosx_12_0_arm64.whl (1.6 MB)\n", + "Installing collected packages: lightgbm\n", + "Successfully installed lightgbm-4.6.0\n" + ] + } + ], + "source": [ + "!pip install lightgbm" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "c2f45002", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Collecting doubleml\n", + " Using cached doubleml-0.10.1-py3-none-any.whl.metadata (8.3 kB)\n", + "Requirement already satisfied: joblib in /Users/kimsieun/miniforge3/envs/kats_env/lib/python3.9/site-packages (from doubleml) (1.4.2)\n", + "Requirement already satisfied: numpy in /Users/kimsieun/miniforge3/envs/kats_env/lib/python3.9/site-packages (from doubleml) (1.25.2)\n", + "Requirement already satisfied: pandas in /Users/kimsieun/miniforge3/envs/kats_env/lib/python3.9/site-packages (from doubleml) (2.2.3)\n", + "Requirement already satisfied: scipy in /Users/kimsieun/miniforge3/envs/kats_env/lib/python3.9/site-packages (from doubleml) (1.13.1)\n", + "Requirement already satisfied: scikit-learn>=1.4.0 in /Users/kimsieun/miniforge3/envs/kats_env/lib/python3.9/site-packages (from doubleml) (1.6.1)\n", + "Requirement already satisfied: statsmodels in /Users/kimsieun/miniforge3/envs/kats_env/lib/python3.9/site-packages (from doubleml) (0.14.4)\n", + "Requirement already satisfied: matplotlib in /Users/kimsieun/miniforge3/envs/kats_env/lib/python3.9/site-packages (from doubleml) (3.9.4)\n", + "Requirement already satisfied: seaborn>=0.13 in /Users/kimsieun/miniforge3/envs/kats_env/lib/python3.9/site-packages (from doubleml) (0.13.2)\n", + "Collecting plotly (from doubleml)\n", + " Downloading plotly-6.3.1-py3-none-any.whl.metadata (8.5 kB)\n", + "Requirement already satisfied: threadpoolctl>=3.1.0 in /Users/kimsieun/miniforge3/envs/kats_env/lib/python3.9/site-packages (from scikit-learn>=1.4.0->doubleml) (3.6.0)\n", + "Requirement already satisfied: contourpy>=1.0.1 in /Users/kimsieun/miniforge3/envs/kats_env/lib/python3.9/site-packages (from matplotlib->doubleml) (1.3.0)\n", + "Requirement already satisfied: cycler>=0.10 in /Users/kimsieun/miniforge3/envs/kats_env/lib/python3.9/site-packages (from matplotlib->doubleml) (0.12.1)\n", + "Requirement already satisfied: fonttools>=4.22.0 in /Users/kimsieun/miniforge3/envs/kats_env/lib/python3.9/site-packages (from matplotlib->doubleml) (4.56.0)\n", + "Requirement already satisfied: kiwisolver>=1.3.1 in /Users/kimsieun/miniforge3/envs/kats_env/lib/python3.9/site-packages (from matplotlib->doubleml) (1.4.7)\n", + "Requirement already satisfied: packaging>=20.0 in /Users/kimsieun/miniforge3/envs/kats_env/lib/python3.9/site-packages (from matplotlib->doubleml) (21.3)\n", + "Requirement already satisfied: pillow>=8 in /Users/kimsieun/miniforge3/envs/kats_env/lib/python3.9/site-packages (from matplotlib->doubleml) (11.1.0)\n", + "Requirement already satisfied: pyparsing>=2.3.1 in /Users/kimsieun/miniforge3/envs/kats_env/lib/python3.9/site-packages (from matplotlib->doubleml) (3.2.1)\n", + "Requirement already satisfied: python-dateutil>=2.7 in /Users/kimsieun/miniforge3/envs/kats_env/lib/python3.9/site-packages (from matplotlib->doubleml) (2.9.0.post0)\n", + "Requirement already satisfied: importlib-resources>=3.2.0 in /Users/kimsieun/miniforge3/envs/kats_env/lib/python3.9/site-packages (from matplotlib->doubleml) (6.5.2)\n", + "Requirement already satisfied: pytz>=2020.1 in /Users/kimsieun/miniforge3/envs/kats_env/lib/python3.9/site-packages (from pandas->doubleml) (2024.1)\n", + "Requirement already satisfied: tzdata>=2022.7 in /Users/kimsieun/miniforge3/envs/kats_env/lib/python3.9/site-packages (from pandas->doubleml) (2025.1)\n", + "Collecting narwhals>=1.15.1 (from plotly->doubleml)\n", + " Downloading narwhals-2.8.0-py3-none-any.whl.metadata (11 kB)\n", + "Requirement already satisfied: patsy>=0.5.6 in /Users/kimsieun/miniforge3/envs/kats_env/lib/python3.9/site-packages (from statsmodels->doubleml) (1.0.1)\n", + "Requirement already satisfied: zipp>=3.1.0 in /Users/kimsieun/miniforge3/envs/kats_env/lib/python3.9/site-packages (from importlib-resources>=3.2.0->matplotlib->doubleml) (3.21.0)\n", + "Requirement already satisfied: six>=1.5 in /Users/kimsieun/miniforge3/envs/kats_env/lib/python3.9/site-packages (from python-dateutil>=2.7->matplotlib->doubleml) (1.17.0)\n", + "Using cached doubleml-0.10.1-py3-none-any.whl (471 kB)\n", + "Downloading plotly-6.3.1-py3-none-any.whl (9.8 MB)\n", + "\u001b[2K \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m9.8/9.8 MB\u001b[0m \u001b[31m8.9 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0ma \u001b[36m0:00:01\u001b[0m\n", + "\u001b[?25hDownloading narwhals-2.8.0-py3-none-any.whl (415 kB)\n", + "Installing collected packages: narwhals, plotly, doubleml\n", + "\u001b[31mERROR: pip's dependency resolver does not currently take into account all the packages that are installed. This behaviour is the source of the following dependency conflicts.\n", + "kats 0.2.0 requires ax-platform==0.2.4, which is not installed.\n", + "kats 0.2.0 requires deprecated>=1.2.12, which is not installed.\n", + "kats 0.2.0 requires fbprophet==0.7.1, which is not installed.\n", + "kats 0.2.0 requires gpytorch, which is not installed.\n", + "kats 0.2.0 requires holidays>=0.10.2, which is not installed.\n", + "kats 0.2.0 requires LunarCalendar>=0.0.9, which is not installed.\n", + "kats 0.2.0 requires parameterized>=0.8.1, which is not installed.\n", + "kats 0.2.0 requires pymannkendall>=1.4.1, which is not installed.\n", + "kats 0.2.0 requires pystan==2.19.1.1, which is not installed.\n", + "kats 0.2.0 requires pytest-mpl>=0.12, which is not installed.\n", + "kats 0.2.0 requires setuptools-git>=1.2, which is not installed.\n", + "kats 0.2.0 requires numpy<1.22,>=1.21, but you have numpy 1.25.2 which is incompatible.\n", + "kats 0.2.0 requires pandas<=1.3.5,>=1.0.4, but you have pandas 2.2.3 which is incompatible.\n", + "kats 0.2.0 requires scipy<1.8.0, but you have scipy 1.13.1 which is incompatible.\n", + "kats 0.2.0 requires statsmodels==0.12.2, but you have statsmodels 0.14.4 which is incompatible.\u001b[0m\u001b[31m\n", + "\u001b[0mSuccessfully installed doubleml-0.10.1 narwhals-2.8.0 plotly-6.3.1\n" + ] + } + ], + "source": [ + "!pip install doubleml" + ] + }, + { + "cell_type": "markdown", + "id": "3caf5c69", + "metadata": {}, + "source": [ + "## 가상환경 정보" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "7da54cf1", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Python 3.9.21\n" + ] + } + ], + "source": [ + "!python --version" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "2958a91c", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "appdirs @ file:///home/conda/feedstock_root/build_artifacts/appdirs_1733753955715/work\n", + "appnope @ file:///home/conda/feedstock_root/build_artifacts/appnope_1733332318622/work\n", + "asttokens @ file:///home/conda/feedstock_root/build_artifacts/asttokens_1733250440834/work\n", + "attrs==25.3.0\n", + "beautifulsoup4 @ file:///home/conda/feedstock_root/build_artifacts/beautifulsoup4_1738740337718/work\n", + "Brotli @ file:///Users/runner/miniforge3/conda-bld/brotli-split_1725267563793/work\n", + "Cartopy==0.23.0\n", + "certifi @ file:///home/conda/feedstock_root/build_artifacts/certifi_1739515848642/work/certifi\n", + "cffi @ file:///Users/runner/miniforge3/conda-bld/cffi_1725560622100/work\n", + "charset-normalizer @ file:///home/conda/feedstock_root/build_artifacts/charset-normalizer_1735929714516/work\n", + "colorama @ file:///home/conda/feedstock_root/build_artifacts/colorama_1733218098505/work\n", + "comm @ file:///home/conda/feedstock_root/build_artifacts/comm_1733502965406/work\n", + "contourpy @ file:///Users/runner/miniforge3/conda-bld/contourpy_1729602398863/work\n", + "cycler @ file:///home/conda/feedstock_root/build_artifacts/cycler_1733332471406/work\n", + "Cython @ file:///Users/runner/miniforge3/conda-bld/cython_1739227985601/work\n", + "dcor @ file:///home/conda/feedstock_root/build_artifacts/dcor_1735053801931/work\n", + "debugpy @ file:///Users/runner/miniforge3/conda-bld/debugpy_1741148420564/work\n", + "decorator @ file:///home/conda/feedstock_root/build_artifacts/decorator_1740384970518/work\n", + "DoubleML==0.10.1\n", + "exceptiongroup @ file:///home/conda/feedstock_root/build_artifacts/exceptiongroup_1733208806608/work\n", + "executing @ file:///home/conda/feedstock_root/build_artifacts/executing_1733569351617/work\n", + "fdasrsf @ file:///Users/runner/miniforge3/conda-bld/fdasrsf_1720366292086/work\n", + "filelock==3.18.0\n", + "findiff @ file:///home/conda/feedstock_root/build_artifacts/findiff_1734853045161/work\n", + "fonttools @ file:///Users/runner/miniforge3/conda-bld/fonttools_1738940323940/work\n", + "frozendict @ file:///Users/runner/miniforge3/conda-bld/frozendict_1728841376066/work\n", + "fsspec==2025.3.2\n", + "GDAL==3.10.3\n", + "gmpy2 @ file:///Users/runner/miniforge3/conda-bld/gmpy2_1733462603229/work\n", + "h2 @ file:///home/conda/feedstock_root/build_artifacts/h2_1738578511449/work\n", + "hpack @ file:///home/conda/feedstock_root/build_artifacts/hpack_1737618293087/work\n", + "html5lib @ file:///home/conda/feedstock_root/build_artifacts/html5lib_1734075161666/work\n", + "hyperframe @ file:///home/conda/feedstock_root/build_artifacts/hyperframe_1737618333194/work\n", + "idna @ file:///home/conda/feedstock_root/build_artifacts/idna_1733211830134/work\n", + "importlib_metadata @ file:///home/conda/feedstock_root/build_artifacts/importlib-metadata_1737420181517/work\n", + "importlib_resources @ file:///home/conda/feedstock_root/build_artifacts/importlib_resources_1736252299705/work\n", + "ipykernel @ file:///Users/runner/miniforge3/conda-bld/ipykernel_1719845458456/work\n", + "ipython @ file:///home/conda/feedstock_root/build_artifacts/ipython_1701831663892/work\n", + "jedi @ file:///home/conda/feedstock_root/build_artifacts/jedi_1733300866624/work\n", + "Jinja2==3.1.6\n", + "joblib @ file:///home/conda/feedstock_root/build_artifacts/joblib_1733736026804/work\n", + "jupyter_client @ file:///home/conda/feedstock_root/build_artifacts/jupyter_client_1733440914442/work\n", + "jupyter_core @ file:///home/conda/feedstock_root/build_artifacts/jupyter_core_1727163409502/work\n", + "kats==0.2.0\n", + "kiwisolver @ file:///Users/runner/miniforge3/conda-bld/kiwisolver_1725459226886/work\n", + "lazy_loader @ file:///home/conda/feedstock_root/build_artifacts/lazy-loader_1733636780672/work\n", + "lightgbm==4.6.0\n", + "llvmlite==0.43.0\n", + "lxml @ file:///Users/runner/miniforge3/conda-bld/lxml_1739211617787/work\n", + "MarkupSafe==3.0.2\n", + "matplotlib==3.9.4\n", + "matplotlib-inline @ file:///home/conda/feedstock_root/build_artifacts/matplotlib-inline_1733416936468/work\n", + "mpmath @ file:///home/conda/feedstock_root/build_artifacts/mpmath_1733302684489/work\n", + "multimethod @ file:///home/conda/feedstock_root/build_artifacts/multimethod_1735317539007/work\n", + "multitasking @ file:///home/conda/feedstock_root/build_artifacts/multitasking_1622493113162/work\n", + "munkres==1.1.4\n", + "narwhals==2.8.0\n", + "nest_asyncio @ file:///home/conda/feedstock_root/build_artifacts/nest-asyncio_1733325553580/work\n", + "networkx==3.2.1\n", + "numba @ file:///Users/runner/miniforge3/conda-bld/numba_1718888154750/work\n", + "numpy @ file:///Users/runner/miniforge3/conda-bld/numpy_1691056333838/work\n", + "packaging==21.3\n", + "pandas @ file:///Users/runner/miniforge3/conda-bld/pandas_1726878429351/work\n", + "parso @ file:///home/conda/feedstock_root/build_artifacts/parso_1733271261340/work\n", + "patsy @ file:///home/conda/feedstock_root/build_artifacts/patsy_1733792384640/work\n", + "peewee @ file:///Users/runner/miniforge3/conda-bld/peewee_1738788875154/work\n", + "pexpect @ file:///home/conda/feedstock_root/build_artifacts/pexpect_1733301927746/work\n", + "pickleshare @ file:///home/conda/feedstock_root/build_artifacts/pickleshare_1733327343728/work\n", + "pillow @ file:///Users/runner/miniforge3/conda-bld/pillow_1735929738355/work\n", + "platformdirs @ file:///home/conda/feedstock_root/build_artifacts/platformdirs_1733232627818/work\n", + "plotly==6.3.1\n", + "prompt_toolkit @ file:///home/conda/feedstock_root/build_artifacts/prompt-toolkit_1737453357274/work\n", + "psutil @ file:///Users/runner/miniforge3/conda-bld/psutil_1740663174295/work\n", + "ptyprocess @ file:///home/conda/feedstock_root/build_artifacts/ptyprocess_1733302279685/work/dist/ptyprocess-0.7.0-py2.py3-none-any.whl#sha256=92c32ff62b5fd8cf325bec5ab90d7be3d2a8ca8c8a3813ff487a8d2002630d1f\n", + "pure_eval @ file:///home/conda/feedstock_root/build_artifacts/pure_eval_1733569405015/work\n", + "pycparser @ file:///home/conda/feedstock_root/build_artifacts/bld/rattler-build_pycparser_1733195786/work\n", + "Pygments @ file:///home/conda/feedstock_root/build_artifacts/pygments_1736243443484/work\n", + "pyparsing==3.2.1\n", + "pyproj==3.6.1\n", + "pyshp==2.3.1\n", + "PySocks @ file:///home/conda/feedstock_root/build_artifacts/pysocks_1733217236728/work\n", + "python-dateutil @ file:///home/conda/feedstock_root/build_artifacts/python-dateutil_1733215673016/work\n", + "pytz @ file:///home/conda/feedstock_root/build_artifacts/pytz_1706886791323/work\n", + "pyzmq @ file:///Users/runner/miniforge3/conda-bld/pyzmq_1741805197810/work\n", + "rdata @ file:///home/conda/feedstock_root/build_artifacts/rdata_1736508756573/work\n", + "requests @ file:///home/conda/feedstock_root/build_artifacts/requests_1733217035951/work\n", + "ruptures==1.1.9\n", + "scikit-datasets @ file:///home/conda/feedstock_root/build_artifacts/scikit-datasets_1735341255296/work\n", + "scikit-fda==0.6\n", + "scikit-learn @ file:///Users/runner/miniforge3/conda-bld/scikit-learn_1736496791599/work/dist/scikit_learn-1.6.1-cp39-cp39-macosx_11_0_arm64.whl#sha256=aaca544017450d0f614af6e4c06601e2aa132d6dfbb957b49e7c5fc3b37f6417\n", + "scipy @ file:///Users/runner/miniforge3/conda-bld/scipy-split_1716470312029/work/dist/scipy-1.13.1-cp39-cp39-macosx_11_0_arm64.whl#sha256=95cc9a6aceed50037865da4a45baac05fd0dcee7e557c6149fde270f2ffebafc\n", + "seaborn @ file:///home/conda/feedstock_root/build_artifacts/seaborn-split_1733730015268/work\n", + "shapely==2.0.7\n", + "six @ file:///home/conda/feedstock_root/build_artifacts/six_1733380938961/work\n", + "soupsieve @ file:///home/conda/feedstock_root/build_artifacts/soupsieve_1693929250441/work\n", + "stack_data @ file:///home/conda/feedstock_root/build_artifacts/stack_data_1733569443808/work\n", + "statsmodels @ file:///Users/runner/miniforge3/conda-bld/statsmodels_1727986732968/work\n", + "sympy @ file:///home/conda/feedstock_root/build_artifacts/sympy_1736248176451/work\n", + "threadpoolctl @ file:///home/conda/feedstock_root/build_artifacts/threadpoolctl_1741878222898/work\n", + "toolz==1.1.0\n", + "torch==2.7.0\n", + "tornado @ file:///Users/runner/miniforge3/conda-bld/tornado_1732615925783/work\n", + "tqdm @ file:///home/conda/feedstock_root/build_artifacts/tqdm_1735661334605/work\n", + "traitlets @ file:///home/conda/feedstock_root/build_artifacts/traitlets_1733367359838/work\n", + "typing_extensions @ file:///home/conda/feedstock_root/build_artifacts/typing_extensions_1733188668063/work\n", + "tzdata @ file:///home/conda/feedstock_root/build_artifacts/python-tzdata_1737541069190/work\n", + "unicodedata2 @ file:///Users/runner/miniforge3/conda-bld/unicodedata2_1736692557404/work\n", + "urllib3 @ file:///home/conda/feedstock_root/build_artifacts/urllib3_1734859416348/work\n", + "wcwidth @ file:///home/conda/feedstock_root/build_artifacts/wcwidth_1733231326287/work\n", + "webencodings @ file:///home/conda/feedstock_root/build_artifacts/webencodings_1733236011802/work\n", + "xarray @ file:///home/conda/feedstock_root/build_artifacts/xarray_1722348170975/work\n", + "yfinance @ file:///home/conda/feedstock_root/build_artifacts/yfinance_1739938562631/work\n", + "zipp @ file:///home/conda/feedstock_root/build_artifacts/zipp_1732827521216/work\n", + "zstandard==0.23.0\n" + ] + } + ], + "source": [ + "!pip freeze" + ] + }, + { + "cell_type": "markdown", + "id": "471994fd", + "metadata": {}, + "source": [ + "## 패키지 불러오기" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "2c650ac3", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "import warnings, logging\n", + "import numpy as np\n", + "import pandas as pd\n", + "\n", + "import statsmodels.api as sm\n", + "import statsmodels.formula.api as smf\n", + "from scipy.stats import norm\n", + "\n", + "from lightgbm import LGBMRegressor, LGBMClassifier\n", + "\n", + "\n", + "from doubleml import DoubleMLData, DoubleMLDID\n", + "\n", + "\n", + "\n", + "\n", + "from toolz import *\n", + "\n", + "import matplotlib\n", + "from matplotlib import pyplot as plt\n", + "import seaborn as sns\n", + "from cycler import cycler\n", + "import matplotlib.ticker as plticker\n", + "\n", + "\n", + "color = ['0.0', '0.4', '0.8']\n", + "default_cycler = cycler(color=color)\n", + "linestyle = ['-', '--', ':', '-.']\n", + "marker = ['o', 'v', 'd', 'p']\n", + "\n", + "plt.rc('axes', prop_cycle=default_cycler)\n", + "\n", + "\n", + "\n", + "warnings.filterwarnings(\"ignore\")\n", + "logging.getLogger('matplotlib.category').setLevel(logging.ERROR)" + ] + }, + { + "cell_type": "markdown", + "id": "22b135b3", + "metadata": {}, + "source": [ + "## 데이터 불러오기" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "d17c7963", + "metadata": { + "ExecuteTime": { + "end_time": "2024-01-20T14:39:09.589128Z", + 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datecityregiontreatedtaudownloadspost
02021-05-015S00.051.00
12021-05-025S00.051.00
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date
minmax
w
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downloadsdate
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0050.3350342021-05-01
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" + ], + "text/plain": [ + " downloads date\n", + "treated post \n", + "0 0 50.335034 2021-05-01\n", + " 1 50.556878 2021-05-15\n", + "1 0 50.944444 2021-05-01\n", + " 1 51.858025 2021-05-15" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "did_data = (mkt_data\n", + " .groupby([\"treated\", \"post\"])\n", + " .agg({\"downloads\":\"mean\", \"date\": \"min\"}))\n", + "\n", + "did_data" + ] + }, + { + "attachments": { + "image.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "id": "9d105574", + "metadata": {}, + "source": [ + "## DiD \n", + "![image.png](attachment:image.png)\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "2614a652", + "metadata": {}, + "source": [ + "## 이중 차분법에 대한 접근법 4가지\n", + "1. 평균을 이용한 이중 차분법 (Basic DID 2x2)\n", + "2. 시간에 따른 결과 변화 값을 이용한 이중차분법\n", + "3. 선형회귀를 이용한 이중차분법(Regression DID) \n", + " - 3.1 데이터 집계 방식\n", + " - 3.2 Basic DiD\n", + " - 3.3 TWFE DID\n", + " - 3.4 DID with covariates (Control DID: 추가 통제 포함)\n", + "4. 머신 러닝을 이용한 이중차분법(DoubleML) \n" + ] + }, + { + "cell_type": "markdown", + "id": "e911d8b1", + "metadata": {}, + "source": [ + "### 1. 평균을 이용한 이중 차분법(Basic DID 2x2)\n", + "\n", + "\n", + "\n", + "- 처치 그룹/대조 그룹, 처치 전/후 두 시점의 평균 차이의 차이를 직접 계산하는 방법입니다.\n", + "- 가장 직관적이고 기본적인 DiD 개념입니다.\n", + "- 다중 시점 데이터나 추가적인 교란 변수를 통제하기 어렵습니다. 통계적 유의성 검정이 별도의 과정이 필요합니다.\n", + "- 복잡한 데이터와 더 견고한 통계적 추론을 위해 회귀 분석 기반의 접근법이 필요하게 됩니다." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "79bcb7fe", + "metadata": { + "ExecuteTime": { + "end_time": "2024-01-20T14:39:09.632122Z", + "start_time": "2024-01-20T14:39:09.624048Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "np.float64(0.6917359536407233)" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y0_est = (did_data.loc[1].loc[0, \"downloads\"] # treated baseline\n", + " # control evolution\n", + " + did_data.loc[0].diff().loc[1, \"downloads\"]) \n", + "\n", + "att = did_data.loc[1].loc[1, \"downloads\"] - y0_est\n", + "att" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "b51d6822", + "metadata": { + "ExecuteTime": { + "end_time": "2024-01-20T14:39:09.640871Z", + "start_time": "2024-01-20T14:39:09.633597Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "np.float64(0.7660316402518457)" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mkt_data.query(\"post==1\").query(\"treated==1\")[\"tau\"].mean()" + ] + }, + { + "cell_type": "markdown", + "id": "47458e38", + "metadata": {}, + "source": [ + "### 2. 시간에 따른 결과 변화 값을 이용한 이중차분법\n", + "\n", + "- 각 개별 단위(예: 도시)의 처치 전후 결과값 평균의 차이($\\Delta Y_i$​)를 직접 계산하여, 이 단위별 변화 값($\\Delta Y_i$​)을 사용하는 방법입니다.\n", + "- DiD의 '변화 속의 변화'를 직관적으로 이해하고, 단위의 시간 불변 특성을 자동 통제합니다.\n", + "- Basic DiD와 동일한 결과를 회귀식으로 도출하며 통계적 유의성 확인이 용이합니다.\n", + "- 더 복잡한 DiD(TWFE)로 나아가기 위한 개념적 디딤돌입니다.\n", + "- 두 시점 외 복잡한 다중 시점 데이터 처리나 시간에 따라 변하는 외부 교란 요인을 직접 통제하기 어렵습니다.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "10e16d8d", + "metadata": { + "ExecuteTime": { + "end_time": "2024-01-20T14:39:09.656244Z", + "start_time": "2024-01-20T14:39:09.642523Z" + } + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "did_plt = did_data.reset_index()\n", + "\n", + "\n", + "plt.figure(figsize=(10,4))\n", + "\n", + "sns.scatterplot(data=did_plt.query(\"treated==0\"), x=\"date\", y=\"downloads\", s=100, color=\"C0\", marker=\"s\")\n", + "sns.lineplot(data=did_plt.query(\"treated==0\"), x=\"date\", y=\"downloads\", label=\"Control\", color=\"C0\")\n", + "\n", + "sns.scatterplot(data=did_plt.query(\"treated==1\"), x=\"date\", y=\"downloads\", s=100, color=\"C1\", marker=\"x\")\n", + "sns.lineplot(data=did_plt.query(\"treated==1\"), x=\"date\", y=\"downloads\", label=\"Treated\", color=\"C1\",)\n", + "\n", + "plt.plot(did_data.loc[1, \"date\"], [did_data.loc[1, \"downloads\"][0], y0_est], color=\"C2\", linestyle=\"dashed\", label=\"Y(0)|D=1\")\n", + "plt.scatter(did_data.loc[1, \"date\"], [did_data.loc[1, \"downloads\"][0], y0_est], color=\"C2\", s=50)\n", + "\n", + "plt.xticks(rotation = 45)\n", + "plt.legend()\n" + ] + }, + { + "cell_type": "markdown", + "id": "7d388983", + "metadata": {}, + "source": [ + "### 3. 선형회귀를 이용한 이중차분법(Regression DID)\n", + "\n", + "DiD를 회귀식으로 표현하여 통계적 엄밀성을 확보하는 방법입니다. 데이터 집계 방식에 따라 두 가지 접근법이 있습니다." + ] + }, + { + "cell_type": "markdown", + "id": "76783d79", + "metadata": {}, + "source": [ + "먼저 Canonical DID를 추정할 때 두 가지 데이터 집계 방식이 사용될 수 있습니다. \n", + "1. 개입 전/후 기간을 하나의 블록으로 집계한 데이터\n", + "2. 각 개별 시점의 데이터를 그대로 사용\n", + "\n", + "핵심은 어떤 데이터를 수집하더라도 분석에 사용할 최종 데이터 형태가 블록디자인을 따르면 된다는 것입니다.\n", + "\n", + "- 블록 디자인이란?\n", + " - 동일한 시점에 처치를 받는 단위들을 하나의 블록으로 묶고 그 블록과 처치를 받지 않는 블록(control)을 비교하는 구조\n", + " " + ] + }, + { + "cell_type": "markdown", + "id": "b8dd4569", + "metadata": {}, + "source": [ + "#### 3. 1 데이터 집계 방식 1: 개입 전/후 기간을 하나의 블록으로 집계한 데이터 (data set : did data)\n", + "\n", + "- 그룹(처치/대조)별로 처치 전 평균과 처치 후 평균을 구한 후, 이를 바탕으로 회귀 모델을 만드는 방식입니다.\n", + "- Basic DID (2x2)와 동일한 결과값을 얻으면서 통계적 유의성을 쉽게 확인할 수 있습니다.\n", + "- 다만,개별 관측치 수준의 정보 손실이 있고, 다중 시점의 미시 데이터를 직접 활용하지 못합니다." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "bead249f", "metadata": { - "vscode": { - "languageId": "plaintext" + "ExecuteTime": { + "end_time": "2024-01-20T14:39:09.887639Z", + "start_time": "2024-01-20T14:39:09.879115Z" + }, + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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citypostdownloadsdatetreated
05050.6428572021-05-010
15150.1666672021-05-150
215049.1428572021-05-010
315149.1666672021-05-150
420048.7857142021-05-010
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" + ], + "text/plain": [ + " city post downloads date treated\n", + "0 5 0 50.642857 2021-05-01 0\n", + "1 5 1 50.166667 2021-05-15 0\n", + "2 15 0 49.142857 2021-05-01 0\n", + "3 15 1 49.166667 2021-05-15 0\n", + "4 20 0 48.785714 2021-05-01 0" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "did_data = (mkt_data\n", + " .groupby([\"city\", \"post\"])\n", + " .agg({\"downloads\":\"mean\", \"date\": \"min\", \"treated\": \"max\"})\n", + " .reset_index())\n", + "\n", + "did_data.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "54757217", + "metadata": { + "ExecuteTime": { + "end_time": "2024-01-20T14:39:09.896935Z", + "start_time": "2024-01-20T14:39:09.889021Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "np.float64(0.6917359536407082)" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "\n", + "\n", + "smf.ols(\n", + " 'downloads ~ treated*post', data=did_data\n", + ").fit().params[\"treated:post\"]" + ] + }, + { + "cell_type": "markdown", + "id": "48ef6933", + "metadata": {}, + "source": [ + "#### 3. 1 데이터 집계 방식 2: 각 개별 시점의 데이터를 그대로 사용 (data set : mkt data)\n", + "- DID를 추정할때 처치 전후로 각 값들을 그룹화하여 하지 않고 각 시점의 데이터를 모두 활용하는 방법입니다.\n", + "- 데이터 집계 방식 1보다 훨씬 강력하며, 단위 고정 효과와 시간 고정 효과를 포함할 수 있는 기반이 됩니다. \n", + "- 또, 데이터 집계 방식 1과 달리 개별 관측치 정보를 최대한 활용합니다. 또한 사전 평행 추세를 검정할 수 있다는 장점이 있습니다.\n", + "- 다만, 여전히 시간에 따라 변하는 관측되지 않은 교란 요인을 완전히 제거할 수는 없습니다.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "d1eed2c4", + "metadata": { + "ExecuteTime": { + "end_time": "2024-01-20T14:39:11.143922Z", + "start_time": "2024-01-20T14:39:09.915271Z" + }, + "tags": [ + "hide-input" + ] + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "\n", + "fig, (ax1, ax2) = plt.subplots(2,1, figsize=(9, 12), sharex=True)\n", + "\n", + "heat_plt = (mkt_data\n", + " .assign(treated=lambda d: d.groupby(\"city\")[\"treated\"].transform(max)) \n", + " .astype({\"date\":\"str\"})\n", + " .assign(treated=mkt_data[\"treated\"]*mkt_data[\"post\"])\n", + " .pivot(index=\"city\", columns=\"date\", values=\"treated\")\n", + " .reset_index()\n", + " .sort_values(max(mkt_data[\"date\"].astype(str)), ascending=False)\n", + " .reset_index()\n", + " .drop(columns=[\"city\"])\n", + " .rename(columns={\"index\":\"city\"})\n", + " .set_index(\"city\"))\n", + "\n", + "\n", + "sns.heatmap(heat_plt, cmap=\"gray\", linewidths=0.01, linecolor=\"0.5\", ax=ax1, cbar=False)\n", + "\n", + "ax1.set_title(\"Treatment Assignment\")\n", + "\n", + "\n", + "sns.lineplot(data=mkt_data.astype({\"date\":\"str\"}),\n", + " x=\"date\", y=\"downloads\", hue=\"treated\", ax=ax2)\n", + "\n", + "loc = plticker.MultipleLocator(base=2.0)\n", + "# ax2.xaxis.set_major_locator(loc)\n", + "ax2.vlines(\"2021-05-15\", mkt_data[\"downloads\"].min(), mkt_data[\"downloads\"].max(), color=\"black\", ls=\"dashed\", label=\"Interv.\")\n", + "ax2.set_title(\"Outcome Over Time\")\n", + "\n", + "plt.xticks(rotation = 50);" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "e01430de", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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datecityregiontreatedtaudownloadspost
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........................
16272021-05-28197S11.77123353.01
16282021-05-29197S11.77123352.01
16292021-05-30197S11.77123354.01
16302021-05-31197S11.77123353.01
16312021-06-01197S11.77123355.01
\n", + "

1632 rows × 7 columns

\n", + "
" + ], + "text/plain": [ + " date city region treated tau downloads post\n", + "0 2021-05-01 5 S 0 0.000000 51.0 0\n", + "1 2021-05-02 5 S 0 0.000000 51.0 0\n", + "2 2021-05-03 5 S 0 0.000000 51.0 0\n", + "3 2021-05-04 5 S 0 0.000000 50.0 0\n", + "4 2021-05-05 5 S 0 0.000000 49.0 0\n", + "... ... ... ... ... ... ... ...\n", + "1627 2021-05-28 197 S 1 1.771233 53.0 1\n", + "1628 2021-05-29 197 S 1 1.771233 52.0 1\n", + "1629 2021-05-30 197 S 1 1.771233 54.0 1\n", + "1630 2021-05-31 197 S 1 1.771233 53.0 1\n", + "1631 2021-06-01 197 S 1 1.771233 55.0 1\n", + "\n", + "[1632 rows x 7 columns]" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mkt_data" + ] + }, + { + "cell_type": "markdown", + "id": "f19bdff0", + "metadata": {}, + "source": [ + "\n", + "\n", + "#### 3.2 Basic DID\n", + "\n", + "\n", + "- 가장 기본적인 회귀 DiD 모델이며, DiD 효과($\\beta$)와 함께 각 그룹의 처치 전후 베이스라인 차이 등을 동시에 추정합니다. \n", + "- 통계적 추론(표준 오차, p-값)을 쉽게 제공합니다.\n", + "- DiD 효과를 통계적으로 더 견고하게 추정하며, 이후 TWFE DiD 등 더 발전된 모델로 확장하기 위한 직접적인 기반이 됩니다.\n", + "- 아직 단위/시간 고정 효과를 명시적으로 통제하지 않으므로, 관측되지 않은 시간에 따른 교란 요인에 의한 편향 가능성이 있습니다." + ] + }, + { + "cell_type": "markdown", + "id": "c4695167", + "metadata": {}, + "source": [ + "$$Y_{it} = \\beta_0 + \\beta_1 D_i + \\beta_2 Post_t + \\beta_3 D_i Post_t + e_{it}$$" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "647b569a", + "metadata": { + "ExecuteTime": { + "end_time": "2024-01-20T14:39:11.154791Z", + "start_time": "2024-01-20T14:39:11.145888Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "np.float64(0.6917359536406855)" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "m = smf.ols('downloads ~ treated*post', data=mkt_data).fit()\n", + "\n", + "m.params[\"treated:post\"]" + ] + }, + { + "cell_type": "markdown", + "id": "e73611cf", + "metadata": {}, + "source": [ + "##### 추론\n", + "\n", + "1. 기준 표준 오차 (Homoskedastic Standard Error)\n", + "\n", + "- 오차가 독립적이며 동일 분산을 가진다고 가정합니다.\n", + "- 다만 동일 단위 내 관측치 간 상관관계를 무시하여, 표준 오차가 과소평가(실제보다 작게)될 수 있습니다.\n", + "- 이로 인해 유의하지 않은 결과도 유의하다고 잘못 판단할 위험이 있습니다.\n", + "\n", + "\n", + "\n", + "2. 군집 표준 오차 (Clustered Standard Error)\n", + "\n", + "- 특정 군집(예: city_id) 내에서는 오차 상관관계를 허용하지만, 군집 간에는 독립적이라고 가정합니다. 이분산성에도 강건합니다.\n", + "- 패널 데이터의 군집 내 상관관계를 반영하여, 보통 기준 표준 오차보다 더 크게(보수적으로) 추정됩니다.\n", + "- 기준 표준 오차의 과소평가 문제를 해결하여, 통계적 유의성 판단의 신뢰성을 높여줍니다. DiD 분석 시 권장됩니다." + ] + }, + { + "cell_type": "markdown", + "id": "b227de62", + "metadata": {}, + "source": [ + "1. 기존 표준 오차 기반 " + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "e847ddef", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ATT: 0.6917359536406855\n" + ] + }, + { + "data": { + "text/plain": [ + "0 0.213969\n", + "1 1.169503\n", + "Name: treated:post, dtype: float64" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "m = smf.ols(\n", + " 'downloads ~ treated*post', data=mkt_data\n", + ").fit()\n", + "print(\"ATT:\", m.params[\"treated:post\"])\n", + "m.conf_int().loc[\"treated:post\"]" + ] + }, + { + "cell_type": "markdown", + "id": "b4199ddc", + "metadata": {}, + "source": [ + "2. 군집 기반 표준 오차 기반" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "fe572c5d", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ATT: 0.6917359536406855\n" + ] + }, + { + "data": { + "text/plain": [ + "0 0.305820\n", + "1 1.077652\n", + "Name: treated:post, dtype: float64" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "m = smf.ols(\n", + " 'downloads ~ treated*post', data=mkt_data\n", + ").fit(cov_type='cluster', cov_kwds={'groups': mkt_data['city']})\n", + "\n", + "print(\"ATT:\", m.params[\"treated:post\"])\n", + "m.conf_int().loc[\"treated:post\"]" + ] + }, + { + "cell_type": "markdown", + "id": "a745a402", + "metadata": {}, + "source": [ + "#### 3.3 2WFE did (시간 -대상 고정효과 모델)\n", + "\n", + "- 회귀 모델에 단위 고정 효과($\\alpha_i$​)와 시간 고정 효과($\\gamma_t$​)를 동시에 추가하여 분석하는 방법입니다.\n", + "- 단위별 고유 특성(시간 불변)과 모든 단위에 공통된 시간 트렌드를 통제하여 교란 요인을 더 효과적으로 제거합니다.\n", + "- 내생성 문제를 완화하고, 다중 시점 데이터를 유연하게 처리할 수 있습니다.\n", + "- 시간에 따라 변하는 관측되지 않은 교란 요인이나, 처치 효과가 이질적인 경우(heterogeneous effects) 편향될 수 있습니다.\n", + "\n", + "\n", + "$$Y_{it} = \\tau W_{it} + \\alpha_i + \\gamma_t + e_{it} \\text{ ,where } W_{it} = D_iPost_t$$\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "f80b7263", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "DID estimate: 0.6917359536407248\n" + ] + } + ], + "source": [ + "m = smf.ols('downloads ~ treated:post + C(city) + C(date)',\n", + " data=mkt_data).fit()\n", + "\n", + "coef=m.params[\"treated:post\"]\n", + "\n", + "print(\"DID estimate:\", coef)" + ] + }, + { + "cell_type": "markdown", + "id": "03fa6aea", + "metadata": {}, + "source": [ + "##### 데이터 집계 방식에 따른 추론 비교\n", + "\n", + " 1. 집계 방식 1: 단순한 2x2 테이블의 회귀 버전이며, 고정 효과를 적용하기 어렵습니다.\n", + " 2. 집계 방식 2: 패널 데이터의 장점을 활용할 수 있는 표준적인 접근법입니다.\n" + ] + }, + { + "cell_type": "markdown", + "id": "0a47e10f", + "metadata": {}, + "source": [ + "1-1 집계방식 1: 기존 표준 오차 기반" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "0f3be3b1", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ATT: 0.6917359536407064\n" + ] + }, + { + "data": { + "text/plain": [ + "0 0.409916\n", + "1 0.973556\n", + "Name: treated:post, dtype: float64" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "m = smf.ols('downloads ~ treated:post + C(city) + C(date)',\n", + " data=did_data).fit()\n", + "\n", + "print(\"ATT:\", m.params[\"treated:post\"])\n", + "m.conf_int().loc[\"treated:post\"]" + ] + }, + { + "cell_type": "markdown", + "id": "060ae0ae", + "metadata": {}, + "source": [ + "1-2 집계방식 1:군집 표준 오차 기반" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "9c0290e8", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ATT: 0.6917359536407064\n" + ] + }, + { + "data": { + "text/plain": [ + "0 0.138188\n", + "1 1.245284\n", + "Name: treated:post, dtype: float64" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "m = smf.ols(\n", + " 'downloads ~ treated:post + C(city) + C(date)', data=did_data\n", + ").fit(cov_type='cluster', cov_kwds={'groups': did_data['city']})\n", + "\n", + "print(\"ATT:\", m.params[\"treated:post\"])\n", + "m.conf_int().loc[\"treated:post\"]" + ] + }, + { + "cell_type": "markdown", + "id": "feca1d75", + "metadata": {}, + "source": [ + "2-1 집계방식 2: 기존 표준오차 기반" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "83d3cfda", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ATT: 0.6917359536407248\n" + ] + }, + { + "data": { + "text/plain": [ + "0 0.478014\n", + "1 0.905457\n", + "Name: treated:post, dtype: float64" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "m = smf.ols('downloads ~ treated:post + C(city) + C(date)',\n", + " data=mkt_data).fit()\n", + "\n", + "print(\"ATT:\", m.params[\"treated:post\"])\n", + "m.conf_int().loc[\"treated:post\"]" + ] + }, + { + "cell_type": "markdown", + "id": "4e4d7046", + "metadata": {}, + "source": [ + "2-2 집계방식 2: 군집 표준 오차 기반" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "edd9ec8e", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ATT: 0.6917359536407248\n" + ] + }, + { + "data": { + "text/plain": [ + "0 0.296101\n", + "1 1.087370\n", + "Name: treated:post, dtype: float64" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "m = smf.ols(\n", + " 'downloads ~ treated:post + C(city) + C(date)', data=mkt_data\n", + ").fit(cov_type='cluster', cov_kwds={'groups': mkt_data['city']})\n", + "\n", + "print(\"ATT:\", m.params[\"treated:post\"])\n", + "m.conf_int().loc[\"treated:post\"]" + ] + }, + { + "cell_type": "markdown", + "id": "84e61522", + "metadata": {}, + "source": [ + "##### 추정된 ATT는 동일한데 왜 데이터 집계 방식에 따라 왜 신뢰구간 추정이 달라지는가? \n", + "\n", + "\n", + "\\begin{array}{lcc}\n", + "\\textbf{구분} & \\textbf{기존 표준오차 (nonrobust)} & \\textbf{군집 표준오차 (cluster-robust)} \\\\ \n", + "\\hline\n", + "집계방식 1 (pre/post 평균형) & [0.4099 , 0.9736] & [0.1382 , 1.2453] \\\\\n", + "집계방식 2 (개별 시점형) & [0.5152 , 0.8683] & [0.4693 , 0.9142] \\\\\n", + "\\end{array}\n", + "\n", + "\n", + "\n", + "두 방식의 신뢰구간이 달라지는 이유는\n", + "데이터의 집계 수준이 다르기 때문입니다.\n", + "\n", + "집계형 방식(집계 방식 1)은 정보량이 적고 자유도가 작아 표준오차가 커지기 쉬워 신뢰구간이 넓어질 가능성이 높고,\n", + "\n", + "개별 시점형 방식(집계 방식2)은 더 많은 표본과 변동을 활용하므로 표준오차가 작아져 신뢰구간이 오히려 더 좁게 나올 수 있습니다.\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "013fd5ae", + "metadata": {}, + "source": [ + "#### 3.4 DID with covariates\n", + "\n", + "시간에 따라 변하는 관측 가능한 공변량($X_{it}$​)을 추가하는 방식입니다.\n", + "예) TWFE모델에 공변량 추가하기\n", + "$$Y_{it} = \\alpha_i + \\gamma_t + \\beta (\\text{Treated}_i \\times \\text{Post}_t) + \\delta'X_{it} + \\epsilon_{it}$$\n", + "\n", + "- 시간에 따라 그룹 간 다르게 변화하는 관측 가능한 교란 요인을 통제함으로써 평행 추세 가정을 더욱 만족할 수 있습니다.\n", + "- 추정치의 정밀도를 높이고, 관측 가능한 교란 요인으로 인한 편향을 줄입니다.\n", + "- 어떤 공변량을 포함할지 신중하게 선택해야 하며, 여전히 관측되지 않은 교란 요인에 의한 편향 가능성은 남아 있습니다.\n", + "\n", + "아래 데이터는 기존 mkt_data에 처치 전의 공변량(지역)이 추가 된 데이터 입니다. \n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "95d777fa", + "metadata": {}, + "outputs": [], + "source": [ + "mkt_data_all = (pd.read_csv(\"../data/matheus_data/short_offline_mkt_all_regions.csv\")\n", + " .astype({\"date\":\"datetime64[ns]\"}))" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "00aefefa", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " date city region treated tau downloads post\n", + "0 2021-05-01 1 W 0 0.0 27.0 0\n", + "1 2021-05-02 1 W 0 0.0 28.0 0\n", + "2 2021-05-03 1 W 0 0.0 28.0 0\n", + "3 2021-05-04 1 W 0 0.0 26.0 0\n", + "4 2021-05-05 1 W 0 0.0 28.0 0\n", + "... ... ... ... ... ... ... ...\n", + "6395 2021-05-28 200 W 0 0.0 35.0 1\n", + "6396 2021-05-29 200 W 0 0.0 31.0 1\n", + "6397 2021-05-30 200 W 0 0.0 33.0 1\n", + "6398 2021-05-31 200 W 0 0.0 32.0 1\n", + "6399 2021-06-01 200 W 0 0.0 33.0 1\n", + "\n", + "[6400 rows x 7 columns]" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mkt_data_all" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "9f347bae", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([18748., 18752., 18756., 18760., 18764., 18768., 18772., 18776.,\n", + " 18779.]),\n", + " [Text(18748.0, 0, '2021-05-01'),\n", + " Text(18752.0, 0, '2021-05-05'),\n", + 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(15,6))\n", + "sns.lineplot(data=mkt_data_all.groupby([\"date\", \"region\", \"treated\"])[[\"downloads\"]].mean().reset_index(),\n", + " x=\"date\", y=\"downloads\", hue=\"region\", style=\"treated\", palette=\"gray\")\n", + "\n", + "plt.vlines(pd.to_datetime(\"2021-05-15\"), 15, 55, ls=\"dotted\", label=\"Intervention\")\n", + "plt.legend(fontsize=14)\n", + "\n", + "plt.xticks(rotation=25)" + ] + }, + { + "cell_type": "markdown", + "id": "482abc10", + "metadata": {}, + "source": [ + "처치 이전 추세의 경우 지역내에서는 평행하지만 지역 간에는 평행하지 않은 것으로 보입니다. 이러한 상황해서 단순히 이원고정효과모델을 적용하면 ATT에 대해 편향된 추정값을 얻게되죠. \n" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "71afe601", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "True ATT: 1.7208921056102682\n", + "Estimated ATT: 2.0683919842562752\n" + ] + } + ], + "source": [ + "print(\"True ATT: \", mkt_data_all.query(\"treated*post==1\")[\"tau\"].mean())\n", + "\n", + "m = smf.ols('downloads ~ treated:post + C(city) + C(date)',\n", + " data=mkt_data_all).fit()\n", + "\n", + "print(\"Estimated ATT:\", m.params[\"treated:post\"])\n" + ] + }, + { + "cell_type": "markdown", + "id": "7585173c", + "metadata": {}, + "source": [ + "따라서 이 문제를 해결하기 위해선 각 지역별로 서로 다른 추세가 있다는 것을 반드시 고려해야합니다. \n", + "\n", + "그럼 어떻게 지역별로 서로 다른 추세가 있다는 것을 모델에 반영할 수 있을까요? 바로 모델에 처치전의 공변량(covariates)을 포함하는 것입니다. \n", + "\n", + "공변량을 모델에 반영하여 ATT추정하는 방법은 대표적으로 2가지 방법이 있습니다. \n", + "\n", + "\n", + "1. 각 지역별로 별도의 DID 회귀 모델 적용하고 ATT 가중평균하여 구하기\n", + "\n", + "2. 지역 변수와 처치 후 더미 변수와 상호작용하기" + ] + }, + { + "cell_type": "markdown", + "id": "cc2d5fad", + "metadata": {}, + "source": [ + "##### 1. 각 지역별로 별도의 DID 회귀 모델 적용하고 ATT 가중평균($\\hat\\theta=\\sum_r w_r \\widehat{ATT}_r$)하여 구하기" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "0f035c0d", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "post:treated 1.676808\n", + "post:treated:C(region)[T.N] -0.343667\n", + "post:treated:C(region)[T.S] -0.985072\n", + "post:treated:C(region)[T.W] 1.369363\n", + "dtype: float64" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "m_saturated = smf.ols('downloads ~ (post*treated)*C(region)',\n", + " data=mkt_data_all).fit()\n", + "\n", + "atts = m_saturated.params[m_saturated.params.index.str.contains(\"post:treated\")]\n", + "atts" + ] + }, + { + "cell_type": "markdown", + "id": "1912a034", + "metadata": {}, + "source": [ + "##### 추정" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "b88f37a8", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Weighted ATT: 1.6940400451471986\n", + "95% CI: (np.float64(1.3897593237876618), np.float64(1.9983207665067355))\n" + ] + } + ], + "source": [ + "\n", + "\n", + "# (1) region size (가중치 계산)\n", + "reg_size = (mkt_data_all.groupby(\"region\").size()\n", + " / len(mkt_data_all[\"date\"].unique()))\n", + "\n", + "# (2) saturated DID 결과 계수\n", + "atts = m_saturated.params[m_saturated.params.index.str.contains(\"post:treated\")]\n", + "cov = m_saturated.cov_params() # 분산-공분산 행렬\n", + "\n", + "# (3) base (= region baseline ATT, 보통 첫 지역)\n", + "base = atts.iloc[0]\n", + "\n", + "# (4) 선형 조합 벡터 만들기\n", + "weights = [reg_size.iloc[0]] + list(reg_size.iloc[1:])\n", + "coefs = [base] + list(atts.iloc[1:] + base)\n", + "\n", + "theta = np.dot(weights, coefs) / reg_size.sum()\n", + "\n", + "# (5) 대응되는 선형 조합 벡터 정의 (계수 개수만큼)\n", + "# 인덱스 맞추기\n", + "att_idx = atts.index\n", + "w = np.zeros(len(m_saturated.params))\n", + "\n", + "# baseline\n", + "w[m_saturated.params.index.get_loc(att_idx[0])] = reg_size.iloc[0]\n", + "\n", + "# 나머지 region 효과들\n", + "for att_name, size in zip(att_idx[1:], reg_size.iloc[1:]):\n", + " w[m_saturated.params.index.get_loc(att_idx[0])] += size # baseline part\n", + " w[m_saturated.params.index.get_loc(att_name)] += size # interaction part\n", + "\n", + "# normalize\n", + "w = w / reg_size.sum()\n", + "\n", + "# (6) 분산 계산\n", + "theta_var = w @ cov @ w\n", + "theta_se = np.sqrt(theta_var)\n", + "\n", + "# (7) 신뢰구간\n", + "alpha = 0.05\n", + "z = norm.ppf(1 - alpha/2)\n", + "\n", + "ci_lower = theta - z * theta_se\n", + "ci_upper = theta + z * theta_se\n", + "\n", + "print(\"Weighted ATT:\", theta)\n", + "print(\"95% CI:\", (ci_lower, ci_upper))" + ] + }, + { + "cell_type": "markdown", + "id": "c68f80ea", + "metadata": {}, + "source": [ + "##### 2. 지역변수와 처치 후 더미변수와 상호작용하기" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "e93ea8d4", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "
coef std err t P>|t| [0.025 0.975]
Intercept 17.3522 0.101 172.218 0.000 17.155 17.550
C(region)[T.N] 26.2770 0.137 191.739 0.000 26.008 26.546
C(region)[T.S] 33.0815 0.135 245.772 0.000 32.818 33.345
C(region)[T.W] 10.7118 0.135 79.581 0.000 10.448 10.976
post 4.9807 0.134 37.074 0.000 4.717 5.244
post:C(region)[T.N] -3.3458 0.183 -18.310 0.000 -3.704 -2.988
post:C(region)[T.S] -4.9334 0.179 -27.489 0.000 -5.285 -4.582
post:C(region)[T.W] -1.5408 0.179 -8.585 0.000 -1.893 -1.189
treated 0.0503 0.117 0.429 0.668 -0.179 0.280
post:treated 1.6811 0.156 10.758 0.000 1.375 1.987
" + ], + "text/latex": [ + "\\begin{center}\n", + "\\begin{tabular}{lcccccc}\n", + "\\toprule\n", + " & \\textbf{coef} & \\textbf{std err} & \\textbf{t} & \\textbf{P$> |$t$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", + "\\midrule\n", + "\\textbf{Intercept} & 17.3522 & 0.101 & 172.218 & 0.000 & 17.155 & 17.550 \\\\\n", + "\\textbf{C(region)[T.N]} & 26.2770 & 0.137 & 191.739 & 0.000 & 26.008 & 26.546 \\\\\n", + "\\textbf{C(region)[T.S]} & 33.0815 & 0.135 & 245.772 & 0.000 & 32.818 & 33.345 \\\\\n", + "\\textbf{C(region)[T.W]} & 10.7118 & 0.135 & 79.581 & 0.000 & 10.448 & 10.976 \\\\\n", + "\\textbf{post} & 4.9807 & 0.134 & 37.074 & 0.000 & 4.717 & 5.244 \\\\\n", + "\\textbf{post:C(region)[T.N]} & -3.3458 & 0.183 & -18.310 & 0.000 & -3.704 & -2.988 \\\\\n", + "\\textbf{post:C(region)[T.S]} & -4.9334 & 0.179 & -27.489 & 0.000 & -5.285 & -4.582 \\\\\n", + "\\textbf{post:C(region)[T.W]} & -1.5408 & 0.179 & -8.585 & 0.000 & -1.893 & -1.189 \\\\\n", + "\\textbf{treated} & 0.0503 & 0.117 & 0.429 & 0.668 & -0.179 & 0.280 \\\\\n", + "\\textbf{post:treated} & 1.6811 & 0.156 & 10.758 & 0.000 & 1.375 & 1.987 \\\\\n", + "\\bottomrule\n", + "\\end{tabular}\n", + "\\end{center}" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "m = smf.ols('downloads ~ post*(treated + C(region))',\n", + " data=mkt_data_all).fit()\n", + "\n", + "m.summary().tables[1]\n" + ] + }, + { + "cell_type": "markdown", + "id": "a927a7cb", + "metadata": {}, + "source": [ + "post:treated에 대한 매개 변수를 ATT로 해석합니다. " + ] + }, + { + "cell_type": "markdown", + "id": "c8eb1318", + "metadata": {}, + "source": [ + "##### 추정" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "743398c6", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ATT: 1.6810982546487103\n" + ] + }, + { + "data": { + "text/plain": [ + "0 1.374772\n", + "1 1.987424\n", + "Name: post:treated, dtype: float64" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "print(\"ATT:\", m.params[\"post:treated\"])\n", + "m.conf_int().loc[\"post:treated\"]" + ] + }, + { + "cell_type": "markdown", + "id": "b57c5b00", + "metadata": {}, + "source": [ + "#### 3.5 Doubly Robust Diff-in-Diff (DRDiD)\n", + "\n", + "DRDID는 기존 DiD 분석(Difference-in-Differences, DiD)의 확장된 형태로, \n", + "\n", + "조건부 평행 추세 가정을 만족시키기 위해 처치 전 정보와 시간에 따라 변하지 않는 공변량을 결합하는 방법입니다. \n", + "\n", + "성향 점수 모델(Propensity Score Model)과 결과 모델(Delta Outcome Model)이라는 두 가지 모델을 동시에 사용하여 공변량(covariates)을 조정하며, 이 두 모델 중 하나만 올바르게 지정되어도 편향 없는(unbiased) 추정치를 얻을 수 있어 신뢰성이 높습니다. \n", + "\n", + "##### Step1: Propensity Score Model\n", + "ATT에만 관심이 있으므로 대조군을 바탕으로 실험군을 재구성하는 단계입니다." + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "8f2e509d", + "metadata": {}, + "outputs": [], + "source": [ + "import warnings\n", + "warnings.filterwarnings('ignore')" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "7ba77a04", + "metadata": {}, + "outputs": [], + "source": [ + "unit_df = (mkt_data_all\n", + " # keep only the first date\n", + " .astype({\"date\": str})\n", + " .query(f\"date=='{mkt_data_all['date'].astype(str).min()}'\")\n", + " .drop(columns=[\"date\"])) # just to avoid confusion\n", + "\n", + "ps_model = smf.logit(\"treated~C(region)\", data=unit_df).fit(disp=0)" + ] + }, + { + "cell_type": "markdown", + "id": "0824799c", + "metadata": {}, + "source": [ + "##### Step 2 Delta Outcome Model\n", + "DiD는 결과 변화량인 $\\Delta y$와 관련되어 있습니다. 따라서 기본 결과 모델 대신 시간에 따른 델타 결과 모델을 구하는 단계입니다." + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "2b1bde23", + "metadata": {}, + "outputs": [], + "source": [ + "delta_y = (\n", + " mkt_data_all.query(\"post==1\").groupby(\"city\")[\"downloads\"].mean()\n", + " - mkt_data_all.query(\"post==0\").groupby(\"city\")[\"downloads\"].mean()\n", + ")\n", + "\n", + "\n", + "df_delta_y = (unit_df\n", + " .set_index(\"city\")\n", + " .join(delta_y.rename(\"delta_y\")))\n", + "\n", + "outcome_model = smf.ols(\"delta_y ~ C(region)\", data=df_delta_y).fit()" + ] + }, + { + "cell_type": "markdown", + "id": "37d91006", + "metadata": {}, + "source": [ + "##### Step 3 성향 점수 및 결과 모델을 결합하는 단계" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "5fb8c885", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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regiontreatedtaudownloadspostdelta_yy_hatps
city
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2N00.040.001.4365081.9925700.212766
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4W00.026.003.3968253.7365390.176471
5S00.051.00-0.4761900.3439150.176471
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" + ], + "text/plain": [ + " region treated tau downloads post delta_y y_hat ps\n", + "city \n", + "1 W 0 0.0 27.0 0 3.087302 3.736539 0.176471\n", + "2 N 0 0.0 40.0 0 1.436508 1.992570 0.212766\n", + "3 W 0 0.0 30.0 0 2.761905 3.736539 0.176471\n", + "4 W 0 0.0 26.0 0 3.396825 3.736539 0.176471\n", + "5 S 0 0.0 51.0 0 -0.476190 0.343915 0.176471" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df_dr = (df_delta_y\n", + " .assign(y_hat = lambda d: outcome_model.predict(d))\n", + " .assign(ps = lambda d: ps_model.predict(d)))\n", + "\n", + "df_dr.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "b1e1a2b2", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ATT: 1.6773180394442853\n" + ] + } + ], + "source": [ + "tr = df_dr.query(\"treated==1\")\n", + "co = df_dr.query(\"treated==0\")\n", + "\n", + "dy1_treat = (tr[\"delta_y\"] - tr[\"y_hat\"]).mean()\n", + "\n", + "w_cont = co[\"ps\"]/(1-co[\"ps\"])\n", + "dy0_treat = np.average(co[\"delta_y\"] - co[\"y_hat\"], weights=w_cont)\n", + "\n", + "print(\"ATT:\", dy1_treat - dy0_treat)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "ec7f3fe6", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(['S'], dtype=object)" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mkt_data[\"region\"].unique()\n" + ] + }, + { + "cell_type": "markdown", + "id": "4e1cddba", + "metadata": {}, + "source": [ + "지금까지는 블록 디자인을 기반으로 즉, **동일 시점**에 처치 받은 대상과 받지 않은 대상이 존재하는 데이터로 여러 DiD 분석을 수행했습니다. \n", + "\n", + "그런데 실험 대상이 **서로 다른 시점에 처치**를 받을 수 있습니다. 이런 경우는 어떻게 해야할까요?\n", + "\n", + "이 경우 **Staggered DiD**을 사용합니다.\n", + "\n", + "먼저 처치에 대해 **시차 도입설계**를 하여 데이터를 구성합니다. 즉, 처치 받는 시점이 그룹을 구분하는 기준이 됩니다.이때 구분된 그룹들을 일반적으로 코호트라고 부릅니다. \n", + "또한 **시간에 걸쳐 효과가 동일하다**는 가정도 추가되어야 합니다. 그러나 우리가 사용할 데이터에서는 해당 가정이 충족되지 않습니다. 효과가 나타나기 전까진 어능정도 시간이 걸리므로 처치 직후에는 낮고 이후에 점차 증가하기 떄문입니다. 이런 시간에 따른 효과 변동때문에 ATT추정값에 편향이 생기게 되는데요. 이를 해결하는 방법으로 \n", + "\n", + "1. TWFE(이원고정효과모델)을 사용할 때 상호작용하는 더미변수 사용\n", + "2. 문제를 여러 개의 2x2(basic) DiD으로 나누고 각각을 개별적으로 계산한 후 결과를 합치는 것\n", + " - 이때 처치를 전혀 받지 않은 그룹을 대조군으로 사용하여 각 코호트에 대해 하나의 DiD모델을 추정함\n", + "\n", + "이 있습니다. \n", + "\n", + "\n", + "\n", + "이전에는 처치를 받는 혹은 받지 않는 2개의 코호트로 이루어진 데이터를 사용했다면 이번엔 날짜를 확장하여 2021-07-31까지의 모든 지역의 도시에 대한 데이터가 포함되어있는 코호트가 3개 이상인 경우인 데이터를 다루겠습니다.\n", + "\n", + "#### 3.6 Staggered DiD\n", + "**Staggered DiD: Canonical vs Dynamic View**\n", + "\n", + "| 구분 | Canonical View | Dynamic (Event-study) View |\n", + "|:--|:--|:--|\n", + "| **핵심 아이디어** | Staggered DiD는 *canonical DiD의 확장형*, 여러 시점과 그룹에 반복 적용된 2×2 DiD 구조 | Staggered DiD를 *event-time 기준*으로 재정렬하여 시점별 효과 $\\beta_k$ 추정 (Dynamic DID 형태) |\n", + "| **초점** | 평균 처치 효과 (ATT) | 시간에 따른 처치 효과 변화 (dynamic ATT) |\n", + "| **처치 시점** | 모든 단위의 개입 시점 동일하거나, 시점별 DiD 반복 | 단위별로 상이한 개입 시점 (staggered adoption) |\n", + "| **대표 모형** | $Y_{it} = \\alpha_i + \\lambda_t + \\beta D_{it} + \\epsilon_{it}$| $Y_{it} = \\alpha_i + \\lambda_t + \\sum_k \\beta_k \\cdot 1\\{t - G_i = k\\} + \\epsilon_{it}$|\n", + "| **요약** | 구조적으로는 canonical DID의 반복적 적용 | 추정 관점에서는 event-study 기반 Dynamic DID로 해석 가능 \n", + "\n", + "\n", + "**⇒ 따라서 Staggered DiD는 canonical DID의 확장형이면서도, event-study 기반 Dynamic DID로 해석될 수 있습니다.**" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "0ba27a12", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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datecityregioncohorttreatedtaudownloadspost
02021-05-011W2021-06-2010.027.00
12021-05-021W2021-06-2010.028.00
22021-05-031W2021-06-2010.028.00
32021-05-041W2021-06-2010.026.00
42021-05-051W2021-06-2010.028.00
\n", + "
" + ], + "text/plain": [ + " date city region cohort treated tau downloads post\n", + "0 2021-05-01 1 W 2021-06-20 1 0.0 27.0 0\n", + "1 2021-05-02 1 W 2021-06-20 1 0.0 28.0 0\n", + "2 2021-05-03 1 W 2021-06-20 1 0.0 28.0 0\n", + "3 2021-05-04 1 W 2021-06-20 1 0.0 26.0 0\n", + "4 2021-05-05 1 W 2021-06-20 1 0.0 28.0 0" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mkt_data_cohorts = (pd.read_csv(\"../data/matheus_data/offline_mkt_staggered.csv\")\n", + " .astype({\n", + " \"date\":\"datetime64[ns]\",\n", + " \"cohort\":\"datetime64[ns]\"}))\n", + "\n", + "mkt_data_cohorts.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "5bdcba1b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt_data = (mkt_data_cohorts\n", + " .astype({\"date\":\"str\"})\n", + " .assign(treated_post = lambda d: d[\"treated\"]*(d[\"date\"]>=d[\"cohort\"]))\n", + " .pivot(index=\"city\", columns=\"date\", values=\"treated_post\") \n", + " .reset_index()\n", + " .sort_values(list(sorted(mkt_data_cohorts.query(\"cohort!='2100-01-01'\")[\"cohort\"].astype(\"str\").unique())), ascending=False)\n", + " .reset_index()\n", + " .drop(columns=[\"city\"])\n", + " .rename(columns={\"index\":\"city\"})\n", + " .set_index(\"city\"))\n", + "\n", + "\n", + "\n", + "plt.figure(figsize=(16,8))\n", + "\n", + "sns.heatmap(plt_data, cmap=\"gray\",cbar=False)\n", + "plt.text(18, 18, \"Cohort$=G_{05/15}$\", size=14)\n", + "plt.text(38, 65, \"Cohort$=G_{06/04}$\", size=14)\n", + "plt.text(55, 110, \"Cohort$=G_{06/20}$\", size=14)\n", + "plt.text(35, 170, \"Cohort$=G_{\\\\infty}$\", color=\"white\", size=14, weight=3);" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "14f2b2db", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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datecityregioncohorttreatedtaudownloadspost
02021-05-011W2021-06-2010.027.00
12021-05-021W2021-06-2010.028.00
22021-05-031W2021-06-2010.028.00
32021-05-041W2021-06-2010.026.00
42021-05-051W2021-06-2010.028.00
\n", + "
" + ], + "text/plain": [ + " date city region cohort treated tau downloads post\n", + "0 2021-05-01 1 W 2021-06-20 1 0.0 27.0 0\n", + "1 2021-05-02 1 W 2021-06-20 1 0.0 28.0 0\n", + "2 2021-05-03 1 W 2021-06-20 1 0.0 28.0 0\n", + "3 2021-05-04 1 W 2021-06-20 1 0.0 26.0 0\n", + "4 2021-05-05 1 W 2021-06-20 1 0.0 28.0 0" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mkt_data_cohorts_w = mkt_data_cohorts.query(\"region=='W'\")\n", + "mkt_data_cohorts_w.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "9fefb75f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(15, 10))\n", + "\n", + "plt_data = (mkt_data_cohorts_w\n", + " .groupby([\"date\", \"cohort\"])\n", + " [[\"downloads\"]]\n", + " .mean()\n", + " .reset_index()\n", + ")\n", + "\n", + "\n", + "\n", + "for color, cohort in zip([\"C0\", \"C1\", \"C2\", \"C3\"], mkt_data_cohorts_w.query(\"cohort!='2100-01-01'\")[\"cohort\"].unique()):\n", + " df_cohort = plt_data.query(\"cohort==@cohort\")\n", + " sns.lineplot(data=df_cohort, x=\"date\", y=\"downloads\",\n", + " label=pd.to_datetime(cohort).strftime('%Y-%m-%d'), ax=ax1)\n", + " ax1.vlines(x=cohort, ymin=25, ymax=50, color=color, ls=\"dotted\", lw=3)\n", + " \n", + " \n", + "sns.lineplot(data=plt_data.query(\"cohort=='2100-01-01'\"), x=\"date\", y=\"downloads\", label=\"$\\infty$\", lw=4, ls=\"-.\", ax=ax1)\n", + " \n", + "ax1.legend()\n", + "ax1.set_title(\"Multiple Cohorts - West Region\");\n", + "\n", + "\n", + "plt_data = (mkt_data_cohorts_w\n", + " .assign(days_to_treatment = lambda d: (pd.to_datetime(d[\"date\"])-pd.to_datetime(d[\"cohort\"])).dt.days)\n", + " .groupby([\"date\", \"cohort\"])\n", + " [[\"downloads\", \"days_to_treatment\"]]\n", + " .mean()\n", + " .reset_index()\n", + ")\n", + "\n", + "\n", + "for color, cohort in zip([\"C0\", \"C1\", \"C2\", \"C3\"], mkt_data_cohorts_w.query(\"cohort!='2100-01-01'\")[\"cohort\"].unique()):\n", + " df_cohort = plt_data.query(\"cohort==@cohort\")\n", + " sns.lineplot(data=df_cohort, x=\"days_to_treatment\", y=\"downloads\",\n", + " label=pd.to_datetime(cohort).strftime('%Y-%m-%d'), ax=ax2)\n", + "\n", + "ax2.vlines(x=0, ymin=25, ymax=50, color=\"black\", ls=\"dotted\", lw=3)\n", + "\n", + "ax2.set_title(\"Multiple Cohorts (Aligned) - West Region\")\n", + "ax2.legend();\n", + "\n", + "plt.tight_layout()" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "id": "cc54004d", + "metadata": {}, + "outputs": [], + "source": [ + "mkt_data_cohorts_w['date'] = mkt_data_cohorts_w['date'].dt.strftime('%Y-%m-%d')\n", + "mkt_data_cohorts_w['cohort'] = mkt_data_cohorts_w['cohort'].astype(str)" + ] + }, + { + "cell_type": "markdown", + "id": "f1687dc0", + "metadata": {}, + "source": [ + "1. TWFE(이원고정효과모델)을 사용할 때 상호작용하는 더미변수 사용 -> treated:post:**C(cohort):C(date)** \n", + "\n", + "만약 실험 대상인 도시들과 날싸를 상호작용하는 더미변수로 사용하는 경우 표본 수와 같은 파라메터를 얻게 됩니다. 이렇게 되면 OLS가 실행이 되지 않을 수 있습니다. \n", + "따라서 코호트를 통해 실험 대상을 그룹화 하여 코호트 별로 효과를 추정하는 것으로 문제를 바꾸어 생각할 수 있습니다. \n", + "\n", + "$$Y_{it}=\\tau_{gt}W_{it}+\\alpha_i+\\lambda_t+e_{it}$$\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "id": "c6d3aeb0", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Number of param.: 510\n", + "True Effect: 2.2625252108176266\n", + "Pred. Effect: 2.259766144684955\n" + ] + }, + { + "data": { + "image/png": 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vuYpSmGLEnhw11A/vFWPhPC3Ush7w3EJhbNu2bXaPCcM5H3/88f77008/nVWihRQjIUQRiOO2MDo2WULbeJBVs48YISlm2aeaTi5IkLW4cOtphLWWTd4skqWy2mqr+U7hCDw8eAndqER4CdY5K+6w9957Zx/InItVhIpjoWxksFIyb4R51Eo5Yn2YYoSlmKIXp512WlY5oQpiNeB+sVh+vIR4JPFoEsJDDy3uKZLKWWfqz1e5/CKU3kKeEjwP9DRjfuKEU4YVIwRQ1lK9w+lQzFAiMGSRK2nlrKMUXrD+ThYWWA2vEZVCeZ4wHsqDs/9hEDCDVr45MG8RXtagMkp+VyleI7xFzDmFvsw4FYbPR6lmz4haFMeUvlpFVeSC8V5zzTX+5x122MHNMccced+LJ9EiLy655JKq5tU2ElKMhBAFeffdd314GvH0G220kVtooYX86zyA40Bowe233x6psdyrr77qv/Pgsgd1LmxT54GLhRirF2PF20NZ73LgocEDmQc4RSf233//sj1Hjz32mLcoE1u/wQYbtPhdmgowIJTY+iEPAuWoFgIlvVO4/ngarSgHhT223nprL1AQ4lYNSzkKIFZqhBS8RUEIDSKpnJAvhFEUp0qUIU4zUcLoAOXUlIY44XTBUDqjHnlGGFpo1nneeef58C3W8i677OLXMQYY1jphyOYZi0K1wum4vyyMjuasBns8YV38npDScCgiBikqOQJ7cJBSwunYw7lmwL5TqIR5nAIMjDuoGMV9PlYKSnDzDOEZaKHahTjssMP8sx1DZLGm6WlBipEQoiDmLUIpImnTBMq4paXx5OAl4GFkFt1Sw+gM8o8QfhAA+BsLoyNEgwdDuXTv3t3deuutXgDiGCh2pYJiaEnGCDHh3kpWgCENeUZYUwnFpEk3ZXFRjvCeVFuoNKWTNRz0JGC1xmOHAoylvZJgxbfKd+Qf5OqphRLOe1COWWfktqnHUvUq0gUxpcHCzopB8Qzz6pnHIhiyVyvFCEGcdUtIJuWv2TcwDiHkLr/88l5B6tOnj3vwwQe9Rzoq1apMhycchRLvKMaAsHDO/YjH1vZ+A+MU50p0QLjCaCmKEcqZeYtWWWWVgu+NoxgROofhpZ6KEXuqhQTvuuuu2RDPQuBVtXA7PE2/K5xXipEQIj8IaS+88IL/mYZ8YB6juKECZpGlGtCJJ56YzQHIJXgQI52rTHcYQpIsZI4cDrMsRq1GFwWECgv34BilCj4Uc0Bg42FFfH2YNBVgsHNceumlfVW4oHJUzZLHdlxTQoMhRFjZsR5jNaVCaqWgaTACE6FW22yzTd734XHgWvTs2dMLbhdeeGGiEvnLAW8ZoYJ4n5NSkS6sGDG2KHmTeDCYF/YFhMqwx6hWJbtZoygEKBqEYJqCRPjcTTfd5I477jjvmbF+PFGpVmU680bgyed+C8IY6ScHtEqwfC8UUKs6esABB0zzmdwr3LOMNcq+zLzZOHieFfIWxVWMyJkEQjPrpRix1xCRQZ/QPffcM/Lf7bzzzj73ccyYMdncqzQjxUgIUdDLgwKDpQ6rNpTqMbJeITyM+DmfZR6lCMGQsCNTwgph4XQkvlLxDWHIEnMrBZZFkoS5FpQ3jQux2+ZtQgBAmMn1ECa0B+Upaf1QKo3lUaGg4KlBIWC+UY4qXewil2JkSmhYyLLGh4QmISSUC/Pev39///Nuu+02TXXFMPyenlpYzwnLyVWKPskgeOLpev75530yPZ4vwqQ23nhjXx6YuS2n70w1FCPWAoIkRqAoCejB/KKgYF3LXkZ4n6+88kr/M2sWjwuhufT2sSalpVKNULpgW4VgGF0Qci5RNNkDLNQNb701wbbnTxA8zqa8RPEa4THGs8N9Fg5lzoV9NtfCyuznA8Uftt9+e/+dfbyWhXQwVFpuEdeSNR0VcuSIYrAegGlHipEQIq+QgwUSsHSbEEA1Ndv4czVXzQXueXvQEt7BZ+F9yRXTbGW68RYVs+gBwgBCrYEghiepkjAO6wXBNSkWCpgr7hurJg+r7bbbLud7CFM0oaTZ84xMQTFhJ6wcVcNzhDcgqJDlgjlG4MWrSVGEciEsiPAhwptoIBwFLLdWeatfv36R77F6w/1MCCt7BR5hhNpBgwb5eeT+MUGtFg1144TSEdpoBV6ieApNMQqG0dU6x4jwOLwpeJ9NoK0Utgfh5SxUwp5ebKzTKJ4R9nTWMfNh4W9h8CJx3wMeL7w05I7m8xYZcfoZ2fOGIg7ck8VgvHh62TsKnSdKkxVuIeTcCh5EyactF46NQoSCTA8ljAF4gOKCJ4/n5hdffFHVPlaNgBQjIUROEM7Z2PFuBPsB8QCz8Iyo4XR8FooWRQcII8NyDAifwTAFrINBxSgq5jWqdBhd+AGMAoa1No7XiPO29yMch8NI0pZnRMK4KclBKzBrw5QjrLooKZVUjjgmx0YBtTyKMKz1c845xwsIhCSVk+cTnPeddtqp4LyHQdhFQMVrFafHCAYIvDXFrNuVBq8Y9zLCL9ZnLO0UtKBpMoUlMAzYteD+rnYp4ziKEdDPyhSjYuGL4Yp0tc4xwrPFNYVDDjkkkoAfB5Qt1ip7MUaKfGHBKO142AgzLuZdtaIL7M2FjFasGRROzpFzQyEhj5SQ23xEzTNCySPUDHKFMucChd72qELhdISJ8/msAdZFqQWK4sI544nm3uJasY65F0vJryUE0HKunvsnJD2tSDESQuTEvEVYgQlZCGJeo6iKEX1CgIRXqy6ElZYQC4Qn60OBRR9hGOE16AUqBmERvJ8wjbDAUil4SJpFk4IUWOeieg1QdBC6SYgtRBoq09FJHqELISLcYwbl6Prrr/dWT6yWNICsVL8su6YI7YWEM0JFLe8Ej0c5QgvHjDLvYQilo8eS3YdRws+4b7Dg460htCpq75VyQIlgvq6++mr/f47Per/rrrvc6aef7hVCrqUpo1ZMBW9DNccUJ5TOyvMzT8OHDy8qzFpFunCYb61yjFCKUEA5fr6wtHL3uULhdIRB05QYuGYULGEPz9fQ1PLLoigkeO969+7tf7YwtELeImB9cT/j4WL+8sG65DNZE+ZlisKiiy5aVDGyanSsI65fqXm4UWH+MeBgPEJ5ZR+l3PbFF19cUu8+w8ILn3/++dh/yz3XLDmRUoyEEDk7eJt1LVfCuOUZRd34Lb/IFCPi4Hm4IgjzQEOIQgA2bxEPmCid2g1ixuk7RJheNSF3CQslycHWW6MQCBZnnHFG1ltkvU7yESzAUKmHDApcnOaV1SZfAYRgJUA8R8xpJcM6CuUXhbHeJuUoRuYh4f4JJulHhcpidu+df/75eQVPQDhFgDShnQprCJh4yKoF65NGyOa9OPzww92hhx7qPUb5sAR7PAhxm3JGBeHXPGZRhUQs7DSELhZOh0eOa50rlC6YY1StfjAIwYTRAfNb6ZDhYpXpEH4p6oBBCyWXKpt4l/CYUPwh155Fnip7O16ffJ7aIKuvvrr3EgEKTLFS4yjddk8XCqezMDqUszh5WFEKMAQVI6iWx4jrSw4QzxJaP1ivItZEue0pgMp/05UQTsf9hvGH3Ka4YeZJRIqREGIa2HwRqujhg4AWJo7HiM3cPEbBkAi8UFi5sDryYEGxiVqmu56Y1+jxxx8vaKFE8EN4QcnkGiI0FoMHKoIlFsFKlGtmHhEECM3CU5MELM8nVzJ1UDky5btScfqlKEbkDZQSloYhgCIiCBlxqkOFwWOGUoWAmq9UPMIyShHrhVwtQtoIr6LK2jHHHFOVsDoEf45jTWsRlqP0TMGwgKBJ2JEl2Fca8xYRGlSs2EW+cLp8mKKAEhT2ohOChrcAJaBaSh9hlRg5gspDNchVmY51xDyj+KEU4rHgO0o7igaC+n333Ze3ClychtsYkxC0rflyMSycLl+DZsZsVePiNv42xQglJ5dxAsMTBgmugSnXphixd1XSi0LBjZNPPtl74ZgjjBInnXRSrDDdaoTTDRw40Ic/kptZqO9goyDFSIgGg+anlDStZh5BrqILuRQjNv5i3giUBzZNBP5wHwo+xx5+eGCodMcDxpKhkwgWTB4eCEAkmOcCi+rxxx/vzx2vGCEOUTxgXCML3ahEOJ1ZFbmuKEcon/X2HhXzGBkWElkJxQhB3KooFjsuIPCR68TfldJs1bxF5FQU6jwfRVBBuQHWWjg3h2tDDxKstBgxSFqnRwwCFJZ0LOgIs4WS6OPC+qG0+b///W+/N+DtpWdOFHi/Vf6jLHAlx2WYxTpqGJ2BMYa9BwNCsB9NlPwiCwMzj3A18oxQdMl7Y4xU+6sm4VA6hHsUIe5d1iT5RSaMo6RRcRBo0Bpscsq15Jqx91GUICrkhh177LHeQBJHMWK951JEKOKAMk9lUe6TOGBsQAlm3efai+x8iYawUt0UUMEogoexUh4UnvdWSptQdIwScRr3xg2ney6iYsT1ppkwUPShWl7MWiLFSIgGAu8DigQhDLYZVRq8QAjlbHD5YsJ5YBF+gmBjzQ7zYd4iLG+5lINNN920RRUdvEpxGhLW02tESFDYs8ODAisqeSFY7hEW4pxPpQow8FA2od4UORQjFKS4pdYrBWMy4b6Qx6jSipE1lEVwjdLXBQG+1HA6xkuxAT6D0JJyodQ13gGU7WC4EqE9FDHBeoyFGqXIlAEEQIwneEywlJMDkq9vWBywmFNOHEGT/QFhmYT5uIIX4yRhH0tztTxGUQsvGKwNEzSZvzgV6aqdZ4RQzz5i/XeqlUcZVozwRnLfoOhTbps5p79WWGEhRJJ8J8aJR8M8TVZ0gRCtsIetkvDM4NnCdQ8bD7hfbBxRiy4E4T4uFE4XDqMzA5eFDVYqnA5vGM9b7h1yi+KEmsdhnXXW8Uo+444STocyyn2BPBB3L0gqUoyEaCAI37LO1JS9rUYpXwoL2MMsX24EVsuoCabhwgu5IOQMYQ6i9JeoN8sss4y3lCI0hHONCHniQYwQgSCbT4gqphiV6zEi4RkrJ9ZLkuPpzYNF07xHhGHk8h5hmSRngPWF14sQqXxfNJbEcxAVEyxQTorlW1VSMbIcN65tlBLwEFSM4oTDWDgRoVlRciqKwXgJlyHkFCFkwIABvhoYwhGeWM6JnKxwl3vCN8kB4u84Bz6jUJ5SMTAA4H0iMRvBDwE5WK0yKghdZgjB6l3phO24hReCWJ5GvnC6Qh6jalamQ4EkBBVDixllqgn3J4I3yjQGOHpSAQp2rsIFrFEUIvZFnk94OVHYyS8qVSGJA2vcnh/hPCOuG6FuvAdvainkK8DA/vnmm29OoxgFoyoqpRiZgYbnTtQ9rBRmmmmmbEhgFK+RGWiZ4zi9k5KMFCMhGgQ2YduEEExIMsZzFAdi34nfpkgBwhTx33gVSChGyEcott4RWCYLEVUxChdeyAXnQ/w8IRpR+73UGys5jqBqZW0JdbEKXYSChB+WUbDrxEO4nLA3E+5QcHmQ4nkgFAOBnc+lmhjKDZZIrMHke6Ew8X5yVgjH4nyYv3xfKL0I31G9EVHD6ILCJwJ5uWGjcY4bDM9hXRJWFbW8NOO0oiWl9BLJBxZ6QuaAe4SqcwigeDgQWi2EJwxCLO9HKCR/j0p3cdaU7QcoYYTVIpzxWXxmOcne7C2E+iGwBkOvChFVgYpbqjsIax/w9ubKE7LiFvkUo2p4jKxPDWCIKKWQR1ww6mBQAe5vYF+25qW5QJEiZNh6keEtRXHnmljeSjWxpt5hxchynNj3Ss3FyecxYg8kioP7L+wBr2RlOta+KUa1CDPfIGI4HfNMaD9EDadtBNrUewBCiOiCLkIamzCWfELqsE6zIYWtxfm46KKLsoJbrochIV8oXDzczGqUD8sXKhSWxUPdkv4L9aIABKU4vYvqDQoMDykeDIQxEU5CvgVQppivUiAGHsswD1wEsXBeVhTwDNiDNCjAsk5YAyhCfOdBn8sCzfuw/jJnjCefhZIEfIRAhBHzsJRbeMFAAOSLkCuuQxylppzCCwahIQhbhKIxx1G8PyiSzBt5ZbmKlpQDuTl4DswCjbCJMlusZ4m9Dys+48PrQ4NLcicYJ14OvDhBIQxvJflp7BWcD7AG2BNQkordy8XAskzYDYYeSntjBS8EngdT3IuFJ5bjMeJ6cL+xp1EhM1gOG0XJFJ58XuBqeIzwqqHssSfHLfteDqx3E+qZdww9xWDfuPTSS30OjLUzIM8uuL6qBYYMjD0YegjpI6oBgw17XbleK1OMuB4YFux8TKnnHgvn1lSyMh2GGfJVMdTka5BbSdZZZx0fDm7hdPn2vvvvv9/vFzwHTZFuBqQYCdEgWAUoynNi/acXCAIfDd2iPLRQrBB02MARLqggg6KFt4gvhGnCH2C77bYrmkQZpTIdShGeKB6YUXI7Gg2UCoRmHr5UIUMRxEtkCfOlwAMdJQBlg/ktRTFCOECg5bqHPXUIuIRA4U1AOeLhTk4Bwi5fKETMVZRwDcL1Hn74Yb+2oihGcT03WOZRjAhhKlUxwrNisfJxFCPgnFCMOE8rGlCIYAWuOCWBo4AwhuLN2kJhw+uL9yYKrEms+ShFrFez8gL3OUI3c84XSpF5RkxZQEFAsCynkEQYhHwEK+4b9hDbT4IgdBHSaU1u8XiiHBVam6XmGAWFQhQj1nRQMbJrgkKJEacWHiM+h/3dyqFHne9KwL5DVct55pnHG0CiKjeEndGKgbC7WoTRGdzbGAnwUrGeGAfKLeHmrIVyFAqugRmr2EtM6THFKJdib+/h/TxbC5WxL4bdr9z3+dZeNcLpXnvtNe81ytVLin3V9rtm8haBFCMhGgD6khC2xOZKSAOCAeE0fFH2Fm9FIaGFhwP5LoCAFy4djYUNKycKEhtelFKwtvEjiGBNzVVgIJhfVM246HqB5wMvF2FKKJVYkuMIEfkwxQghNVcfqWJY8rhV2sonxKEYIXyWOjeEHqEYcf7kGBRSBhBYrLy5WWCjKEaW3Fsq5qVCoC2W15RLMcICTkUwhCKEo3xgIbcwnmoJgwh/eE9KUbqw6mJRJ/ST+9yMIghtzEuw9DwCOI2dt9pqK984udJKns0HnisEL4w+VLoLgkGFggOWs8UaxXOCFTuXElWJUDpTjChSgkJMywLzyBULo6uGx4i9nTEw7xjDagnPGZRmqsnlC9XMB/PKfYPHJm6OZamw5+KlRZjnPkQxsqILGCrKqZbG+ufz2AfwsvPsw2Bjhp5cz0s8loTuWcGZcEPgOJj3P4rxqVJsuOGG/lqiHOdSjPAo00Sa+a1FqGQtUY6REA0A4SZWwc2sklh0sPoj2BDKVQgEDKyPuLstVyG88bORk7OAABVFsGfTx5pcKFzA8ovKDb1JutfIwhCDZWzLoZwCDCg61g/KciYKUY7CyvpDWUApLFZFzxQUrK9RK1RVogCDXcNSPE6EETJewmcKNY8EhDCuPdcEob9alKOkcH9TVY48OIpmIHChKFGI46yzzvJhcoTo4gHF6s+5VEMpMswLR4hgUJmg+hb5UKYUUZzFciusCXQuEEIt9K9UxQili/ljDNb7JkpFukp7jFhLVrUP71qtDUvsY3jnSvUSsveUWuygVIL9jNiTEOxL6V0UpQCDFV3As5ardw/zZftXOeF0rGly3mqtGPXq1cvLAaz7cKNfjBZWOhxvUbMZPaUYCZFwSD63RHrrHA9sRub5QSjLV1qThzsub+s5EqfpYTHMcpsvzyhKRbpGhwcmFm/yJaL23SiGhXzxUIpbeIDwRazmzHO149FJuLYCE/lKHJeSX5QUxQiilO0utyRwvQgaRBAesQzjoaxUw8hisC9QTQzF0wQtchxpbGvV76imiAJlTZ+DYYD5wujIYSo15Ih90vLyyMmKWpEu6DFCKEd4LAcMDez93MeNlHtZT2y/w7PD/cgcYJSrRHVI83LbPparTHeYSuQZEWrK/YGRJm4PpnKYaaaZ8jZ7xTiBhxlPIjlkzYYUIyESDgI3ghdxzOGHMvkgCAw8AKgyFwbr6bnnnut/phhApRvCFcozwgKMgG45M80MD0ATiioBwir5QcyrFa+IiinRPLArqQTnw7xSxRSjUirDmXUegbfU0vSlFF6IW7ab8uYIsQjjhKCJ+F4jQjIx7pC4j2CLJ5LcIgshM48RxhbyI6uRX2SYYoQShlDKvEdRjCgWgmLFfZurql0crGgASlEt8kqaAZ5HCPQ896zJciW8RUGDDkZA1oR5E6utGNUjjK5YdTrymy0XuRbPmFojxUiIBIMwSO8i2G233XK+x7xGxAKHhWhCZsh9IDSEfKRKU0gxsjA6BAk92OOBcFVqo1dTUKKE0VUCHtiEEpKDUajZbymKEZ4LC+UJFgSICiFNKOfBJo1xIceGhz9Cd75CI5aEjCBRrEqcaAmCP55W9jpCxphnQpMIDw72zEHZIWwpWLo4X35RKRXpguDFIjSWMRHGhAeIHDmMPIW8D4QeWTntcvKMUKysemitc4saGfYh7lcLQcOjTY5UJSAMndw7cr5QFMgx4rlm/ZNKLVBUiOBar4di1CtHOB0yBoYLrjWFoJoRKUZCJBjyANiI2WDzJTjyO3t4XnfdddnXeaA/+OCD/mfyCqqhnFjFNISZcH+UNITRVRPzcMRRjAhv4CGMAFeLfheAhdZ6iOTzGiFYmoJisfpRKcfqateOqnuFCicUAmHIQnRyCeQmKAHFCkQ8ELCsDDX5kswV1v5c1RgtnC6fYlROqe7wmCx8jXA68xahwBWrDFeJPCP2bv6ee6tYKXPRkqAyjWAfNZ8xypqwvcu8URyrULU58y6y9xEiGheUENYBhhlT+GrJTDnC6SzvD894ufdZUpFiJERCQUignK3lFhVKcLQCAIR+UMGOvJRzzjnH/46cgWpVjbHStVQfCjfBTEPhhWpSSgEGK7pAyGSuKoHVwoRIC+MLY3H5WNvjKijl5BmVG0YXJc+IXBiqMyE0F7Iei/ygULJPEJZEIYh8pf1NMSKpPlej2kqF0gXD6VD2o4TRVbIynYXRUd2tnDLPaSSYV1npfD9TjGw9FFNayXUz5aGU/cv2Gwot4f2qBxv+U0CDiBQMXMGCIM2KFCMhEgqhFDxcsUAWC6cgKdN6btAlnXwjulLzkKaiU7XAM5GrwzdCiwmlUozKU4yYx6jWxlqH0Rl2vA8++CBn/kcphRcqoRiVW3ghrBhxfuFcJwujQwhrtupMtYLwQ6zw5BQVKg3NPFJynRwS8roqXao7CMIo4+IzqdwXVzEq1WOEQQxlGxRGFx/yEhHmUaIrbRAM719x2lqU4vE2xahW3v9C4XRff/21L8HO+iQKpJmf61KMhEggxBZbQ9edd945ktWQilK8j/jfO++8079GydtqV5jKFUdt1dQ4djN1xK4leHysHHqUcDpyIKysa60VIyz8hD7RDytXOeVS8otyKUb5ih/kgvdWymPE+SFwcX7BEs6ELlIaGIWokarRNSrBENFc66xSoXRA+JIl1lvuZhTFyELpSvUYUe0M5ZvPqUf4VKPDvUgvOVpUlNtPLkwwTxFjZJQqpKUqRhTvsHD0eoZTdurUKasAWt5bM3uLQIqREAmEnilUv+HhTOWXKJCkHkyG3GSTTbKhJ7VWjGxDRyCtZh+UZscE+ijhdIRRkrSN8FapsuGVqE4XVFBKUYwIv2MNofgRyhEVlBb+BmNBoYag5YTTWYluwndK7fciSpuHQopRJTxGwXA6oxaKkYXR4fUopympqDwYR8xIWagaXSUUIxRk9k72rnrvLRv8U53O7q1mr7wpiUWIBDd0JTwuTtfxfffd13sa2LyOO+44VwtyKUbKL6oMcSrT1SuMLixE4lEJ9l5CQEShQcjLlVBfDJLdabIaV7gwZZJjViJPwwRy8lvwHPFlIVYWxiqqD9Zr1hIhpnwFi2BYmGOlFCO8U6ac4H2I0kemnFA6zsHuY4XRJQ/WgOURhpXmKIpRHI93PavR5Qungx133LHinrikIcVIiIRBLC/CFyEB+Up054NSsVSyo1lirZLvbeNHALbeHapIV1uP0Z9//pltOFgvxQgFhJAzxmJd4YNKHdbWUntelJJnVI6XKhcUtKBwBDlU5EwRsjpixAj/2rrrrluRY4jiEJ5rVRCDzV7NW8R8VCp8OFhxkZDgKAJhOYoRShFGBTy+5YZ/iupAUaPrr78+cvNsPN4o15QPtxy4YuD5t/08CYpRp06dfKg+eXfNWqI7iBQjIRKGJXMj4JqlPO7DvFad600QsdAtwv+w2lqFOilG5ce0E0aG0mmNfvOFXmJtxlJeSoGDSoAin6s6XTmFF8oJRzFlslICJkKxJXNjzbX7lD4pzdjkMMlYnlFQMapk4YUghCRD1IqDphjhJUXALSWMDm+RCnkkE+Y3WBK8GHirrfdV1P2LiAvCgFFIkhJ1ccABB7hrr73Wj6nZkWIkRMKwRN9a5AdVOpwOxcgEUsJOalkyuhmhKhahC0BFoNNOO80rQGEs/AbFpJ45XeatsnynoGJUjucmrseIqoiffvqp/7mSlnez3lI1zCqHqehC7bG9kcIXWOKrkV9kECaJh+DII4+M9H6q5nEPEmqZq0JjPhCEzUugMLrmIq5hx8LoCBtt9rC1JCLFSIgEgUcA5QJKyceot2LExh8svCDKh1wxvgjHwKK8zz77tOgZhQBm/YvqFUZnUEULiyICIeuA9VyJktmmGBFmyvkWgy7thCThzaxkVUSrDmVVF1H+l1lmmYp9vogGnnSuPcq3VQk0j1Glm07iucFDENULz31KSHPcAgwvvPCCV+jZSwk7FelVjMwTWs8y3WlGipEQCYLwC/J0sDjSAb5RMCUOpU6FF1zFBbNddtnF96bq2rWrF8r32muvbLgaigfrBiXA8iHqBdZNe5jjxRo5cqS3hPO6CQelQKgmDQ5RRsjrKYYpY4TvVdKDRhiNNXk0b4JCnurrNTIhspKlusullDyjYBidSK9ixDrmOcq+ErXynagsUoyESBBW2Q1raCPlLZjHCEu9eYykGFUWkv/pbbX88sv7Bpd4ka6++mpvaTZvRr26o+cr220FEFgf5YwNxcri9KOE05mwXI01aOF0KFybbbZZxT9fxFOMCDvCi1itULpSiFuym7ETFmg5a6I5FaNvv/3WN0gtBIWXzMNunkdRW6QYCZFAxagSfVdqCdXI8Fiw6Y8fP96XWG60c2gEELiuu+66bLXC/v37Z5v51juMzsDKScIxpZSfeuop/1olCkJEzTMijM963FTD+k4yPuubz06CdyKtBKsEooBXq/hCOR6jqIrRs88+68NOCcuca665qjw6UWvoQ8RaJVQyGAZdKL9IYXT1Q4qREAlUjMoJO6oHWM+DY0YQVtJodeC6HnPMMb67O8UZLK8hCWVdAQHAStla7lMlSmZHVYwISSL3hDVYjfuI/A8E2T59+lT8s0W8+8ByvlCEkxRKZx6jqKF0CqNrbgiLs/2rUDgdhkVrdZCU/TyNSDESIkHYptmI3pZgsQiV6a4+G264obv99tt9wQMKMiSpjKqV7TYqoRhFjdO3MtrVrBbXoUMHKf4JwKzqVAi0HmpJ8hhFUYzwrOLxwri0wQYb1GB0ot4FivIxZMgQ98cff/hcUlo1iPogxUiIhIC1iBydRqtIZwSt81KMagPeixtvvNEdcsghLkkEw/oIO6tEla0ocfp4XCl3j9Ii63vzg8cIazxrAsjLTIKBIE4o3X/+8x//neaZCMSiOSlm2EFB7tevX3Zd17PtQtrRlRciIfBwJwaZsrBJCAeJS1CZU+GFdINgaOXaWReV8K5wTxCmR5gcQkQunnzyyWxivnpoNT/0DAruNXiLklAlMGrxBfKKFEaXDgopRhTQ2XPPPf3vKLiwxx571GGEwpBiJEQCCy8k4eEeF8oYIwwjlDaiYicqy6abbuq/r7LKKhWP08+VZ4RR4emnn86W0RbpIJiknpR9xxSjMWPG+HWZD8oyEyVAxcZ11123hiMUtcb2rh9//DHblJi1gZfohBNO8JVGrfKovVfUBwVJC5EQGrXwgsHDnZwXIWDnnXf2cfKVyC8yEBg++OCDnIoRZW4RRLG4WlK+aH4wxFx77bWJyS8yTxYFUfBuUjXPQuvCWNVGlLuoDWRFYzLTTDN5xZ3qiXiGqOR68skn+/0M8Bgddthhyl1MAJoBIRJCIxdeECKXhwcLaCUp5DGyMDrKaUu4SA8YkkzgTIrHCKWIfCEq5RFOl0sxwlswcOBA//Pmm29eh1GKWsP+xTp96KGH3BtvvOELhqAQn3nmmW6dddap9/DEPyiUToiE0Kg9jISoFfkUIwQMKw2uMLp0gQK+1VZb+Z+p0JgUiuUZvfXWW2706NFu5plnloczJVg0CAoxexbh53fddZeUooQhs5oQCYBwC0q7BvMohBAtsXvjhx9+cBMnTsz2cSKBHQs8goYMC+njX//6l9t+++2zykgjKEYDBgzIFl2gIbJofoIFirbddlt33HHH+aqdIllIMRIiQd6i7t27+x4pQohpIX+IL3KJSFq3/CUTMqvZu0gkF0obJ0kpAgufwysUhuT7l156yf+82Wab1Xxsoj7gGdppp53c8ssv7/vQiWQixUiIBNDohReEqKXXCMWIcDoUI3LzaJBJXgf5RUIkgUK9jCjP/Oeff7oePXpky9qL5oc+W1SgE8lGOUZCJAAVXhCitDwj8xZRnYxqYEIkPZTOqtHhLWrE1gxCNDNSjIRIACq8IER8xYi8IhMyFUYnGkExoo/N22+/7X9WGJ0QyUOKkRB1BuHu66+/9j9LMRIiumJEyVtyOGaZZRa3xhpr1HtoQhTNMbImxFTQo5eNECJZSDESos58//337q+//vJFF+aaa656D0eIRLPAAgv47/SIueeee/zPm266qSp7iUQqRuTDYfyCTCaT9XCqd5EQyaSuitF1113nlllmGd8RmK/VVlsta00RIo2FF6iuJITIDw0R55hjjmwvGJCQKZIGXkwKgqAMmdfok08+8dUUKdG8/vrr13uIQogc1FUKozRx37593TvvvONjbtdbbz239dZbu48++qiewxKiLoUXVJFOiGgE7xXCT+lfJERSS4hbnpF5i3r16uUVfCFE8qhrue5wh/LzzjvPe5GIG690CUusNlOmTMm6tIVICj/99JObffbZfenhSZMmuTRCGBTWVSGi5hm9+uqr2aILquwlkgiKEfs7zbuRPWhEDCq6IEQTKUb77befu+KKK1ynTp1avD5hwgR3xBFHuFtvvbWkgaC0PPjgg/5zCKnLBXX/+TLGjRsXSSH69ddfvcWGYwiRNAipoPFb165dfZhFmkNPCJGSkCuiFmBQ7yLRCHlGKEavv/66Gzt2rG9QvOqqq9Z7aEKISilGt99+uw9/CytGEydOdHfccUdsxejDDz/0ihCWclzLjzzySLabeZgLLrjAnXXWWbE+n9KYKEaWx9SmTRsJXiIxYEU0hX3++edPpdcE48Uff/zhk+lBlZpEMXhmzDvvvL53EQYFIZLe5NVKdG+88cZeDhFCJJPIdyfeGQQYvsaPH+87+BoIdsTOzjbbbLEHQGz4e++953777Tf30EMPub333tv997//zakcnXzyye6YY45pMaZ55pkn72czLj6XzclifYVIEnhIiUUnlKxjx44urcwwwwz+O8oR+0gaFUQRHRq5/vvf/673MIQoiCnttGMYNGiQ/1mFQoRoEsWIMBc8LXwtssgi0/ye1+N6c6Bdu3bZRNoVVljBDR482Ifq3XDDDdO8l0oufEXl77//9opcmgVOkWwsNDRoaEgrlCu3+1aKkRCiWTxGL7/8sjfUUmpehUKEaBLF6MUXX/RKBpXjHn74YR8nG1RuevToUZEeLFOnTm2RR1QJFDonkooVW4ij8Dcruk+FEM2oGFm4NEUXtM8J0SSKEeUlgeRwYrsrcXMTGkdjPj6P8Dya9b300kvZyi1CNDvyGAkhRHMrRoDMhLwjhEg2sTMAX3jhBV8kYccdd2zxOhXlSKAmRygq5BPstddebuTIkW7mmWf2zV5RijbccMO4wxKi4cADa4qRPEZCCNFcBHObV1ppJd+WQQjRZIoRleFy5f+QMH3ggQfGUoxuueWWuIcXomn466+/fOgoxRcIRxVCCNE8YPClAh3VR9W7SIgmVYy+//57X1Y4DDlG/E4IEY2gt0hx50II0Vxg9CK65quvvvL96oQQyad13D/AM/TBBx9M8/r777+vfhI1hgp+hx9+uFtyySV95T1ytXbaaSf3+eef53z/J5984pshEgpJ8Yw999zT91cI8umnn7oTTjjBLbfccr5XFT1lKC9qPRiCfPbZZ+7oo492q6++us+RQbj/9ttvY58HnsPFF1/cf8bCCy/srrrqqmnec+aZZ2arIga/4uTmnHfeeW6rrbby4Qz8LZ+Zi0oc67XXXnNrrrmmr7RG09IjjzzS/f7779MUXsBrdMkll/jCJZSsXmWVVdyzzz7rKn39YPjw4X59UGGSnl5bb721LyMbR5E78cQTI401yvkLIUSzc+yxx7prr70225JACNFkHqNdd93VCzkIzWuvvbZ/jb5DRx11lNtll12qMUaRhwsvvND3RsAiRX4WzWyvvvpq17NnT/fGG2+4pZZaKvveH374wc8Xrv3zzz/fC6kI5DTYfeutt7KhXDfffLMXtLfffnt36KGH+j5QhE7SqXvgwIFugw02yH4mnbyvvPJK33MKwZx+VHHhsw8++GB/PHpUvfLKK359ka+GEB7muuuu84qdEaes82mnneaF9OWXXz5SgY9Sj8V1wDrINenXr5+/9lzrL774wj399NMtFI1TTjnFKxe9e/f2Sk3//v19yAVVIFEsKnX9mO91113XzyfHpG/SZZdd5ouqMN4oRo199tnH9xorNtao5y+EEEIIkSgyMfnzzz8zO+20U6ZVq1aZtm3b+q/pppsus++++/rf1ZLffvstwynwPRcTJ07MfPzxx/57MzJo0KBprvnnn3+ead++fWb33Xdv8fohhxySmWGGGTLfffdd9rVnn33WX78bbrgh+9rbb7+dGT9+fIu/HTVqVKZbt26ZNdZYo8Xro0ePzowbN87/fPHFF/vP+uabbyKP/48//sh07do1s/nmm7d4nbF37NgxM2bMmOxrffr08Z//yy+/ZErFxsZn8Fl8Zi7KPdamm26amXPOOVusy5tuusl/5jPPPJN97aGHHvKvnXfeednXWKsLLrhgZrXVVqvo9bvwwgv9sd56663sa5988om/d08++eSix3rzzTf93zPPxcYa9fzTdr8KIYQQor66QTFih9LhWbj//vt9yNXdd9/tu48TP3vrrbcqgbzGEMIWvuZY8gmtI2wuCL2ntthiCx9uZ+D9oVnvAw88kH2NJrtBLwngTVhrrbWm+UzC8fAclgqehtGjR3vPVJDDDjvMTZgwwQ0YMCBnJbdx48b573GZb775Yr2/lGPxfjxAe+yxhw9XM6i+yHW1a01fC84PLxQeH4NwuP33399744YNG5Z9fdSoUf6ewxNUyvXD00NVJL6MxRZbzHt2gvMP5ApyrCD8PWOlwEqhsUY9fyGEEEKIpBFbMQoKmYRvkbNC4YVGAkF34sSJifkqRcgvdG4//fRTizKh5JZQGn3FFVec5v0rr7yyGzJkSNHPJUwv+JmVwI4bHhfKGUmrucZF53DCAVHIEL4512pRyrEITaQCUficUGDJ27JzIowO5YP7KNgs2eYEgqGJhEgSmkbYY9zrR+U78gLzzT+GDfqIBZUYjhWEz0KJDio7ucYa9fyFEEIIIRo+xwiL9RFHHOFuv/12/38S/REgeW3uued2J510kks6JL3jAUkK5IVUKjETLx6K0Nlnn519jT5RQCGFMLw2ZswYL6jn66XD+PAKkKNTSRgXXggKeoSFaLxUI0aMyL7WuXNnX2hitdVW8+NkTNdcc41XFCgMERbYy6GcYxW71nyWrUEKX+Tqa2F/Gzz/cq6fzW++MdmxFl100YLHKvb3cc5fCCGEEKLhFaOTTz7ZV6B76aWXvLcoGJZFNa9GUIyaFTwQhFEh0Af7SeGVglyKj1Va4z25fo+nabfddvMl2qlWV0k4Zr7wS8Zl4waKewSh2ADeit13391X/KnkuivnWMWutf0eRYWvXApxcE4M7q1wFb2o1y/q/Bvc27nOK8rfRz1/IYQQQoiGV4weffRRn2NElbJg7xXyWgjJaQQQ0JJkuY5TBrpQqBtltQn9snwQw4Rv65sTBM9F8D1ByFMhL4kwq1dffXWa3KOo4Bkhp8bgc/jimJSrzgXjKuZFQ2GjFOpzzz2XVVa4DkG4HpXwxuU6Vi6KXevg71Ee/v7775zvC35WoWNFuX6lzn/4WFH+Pur5CyGEEEI0vGKEkBsO3TEhulGaVDLOZhLQKMG86aabul9//dUrfPSZCWJhTRbmFITXyHEJW/gRuLfbbjufm0Jp62Dp77iQ8P/dd99l/9+nTx/v/WBcKEx4pYJrimNTVCB8HrmYZ555fKhY+FyN2267zZeZrgThY+Wi2LXmnMgDQ0no1q2bP/dc74Ni5x/1+tn85htT1GMRolns76OcvxBCCCFEUxRfIKk6WO3KlCH63xDCJWoLAvaWW27pc72efPJJ31MoDLlfCOG5mrSSN0NSfBCS9UnAf/75590999zje92Um/dEpTL74rPBjhseF/9nDOFxhUHBoKEs52YEj8PXxhtvXNbYCx0rFyiQbdq0meacUFYoUMA54SXi/KgKR28fKrkFefPNN/33Yucf9fpRiGHppZfOOf8cixzBYtUF+SzWWLGxRjl/IYQQQohEEre+9yuvvJKZccYZMwcffHBm+umnzxx11FGZDTfc0PdNoQdOLUl7H6PJkydnttpqq0ybNm0yAwYMKPhe5os+Rt9//332teeee85fv+uuu67Few899NBp+hsVo9Q+Rl26dMlsscUWLV7fY489Mh06dPB9koyff/55mr+/5ppr/DH79euXiUOxPkblHmuTTTbxfXysxxPcfPPN/u+ffvpp//pHH32Uefjhh6fpDTRp0qTMQgstlFlllVWmGTN9hyZMmFDS9evbt68/1uDBg7Ovffrpp76P0Yknntji7+l1xbGCvPHGG5HHWuz889Hs96sQQgghkt3HqBX/xFWmyCXq27evL8Lw+++/u549e7oTTzzRW6VrCdZrckgIJctVKQxvyjfffOMLB1Qijydp9O7d211xxRXeY7TTTjtN83tKTBv0mVl++eXdLLPM4osLMG8XX3yx6969uxs8eHA2lO7yyy93Rx99tPf+hfvjwLbbbus6duzof+a6X3XVVf7nQYMGuYEDB/o8HI7BF5XdikExAwpG7LDDDt67QyjgHXfc4c477zx3yimnZN/XoUMHt/POO/s1xlyS83Tfffe5ZZdd1h+b3xfjzjvv9CF9VFa84IIL3LrrruvWW289/7s999wzW3a+3GO9++67vscU3jv6/vzwww/u0ksvdWuvvbYPS6QnEeFvrF2u9SOPPOK/L7TQQr7aI148vHW83yD08KyzzvK9i9ZZZ53Y1488Meaf78cdd5xr27at69evnw/Fw5MT9ITx+f/973+nKSPPGosy1mLnn49mv1+FEEIIUV/doChRtKejjz468/vvv/uf//vf/2b+/vvvTBJIu8eoV69e/vzzfYUZOnRoZqONNvLehFlmmSWz++67Z3788ccW79l7770LfmbQI8TP+d7Xo0ePyOdx4403ZhZddNFMu3btMgsuuGDmsssuy0ydOrXFew444IDMEksskenUqVOmbdu23lOBpyPolSjner344osVPRae1dVXX917Vbt165Y57LDDsn8/fPhw7zHCM8XaPO644zJzzDFHpn379pmVVlopM3DgwGk+D+9WeJxxrh8MGzYss8MOO2Rmmmkm7/XF0/TFF1/kvU5hoo612Pnno9nvVyGEEEI0gccI6zJWX3quUO2MJOpcBRhqTdo9RqIxIVcJrxXeukr2X2p0dL8KIYQQop4eo0hV6eabbz535ZVXuo022siH19DskyaYuQiG1AghWsL9Y6Ws8/UgEkIIIYQQtSeSYkQuysEHH+zzMqhCR55JLvhdsF+NEKIl3B92j0gxEkIIIYRoMMVom2228V8k7OOW+uyzzxIRSidEo2ENWQlPpYy2EEIIIYRIBpEks2OOOcY3cJ1xxhl9VSxyAIjfy/UlhMiPhdGFG+oKIYQQQogGUIwoyYy3CChvPGbMmGqPS4im9hgpjE4IIYQQIlmo+IIQNUQeIyGEEEKIZKLiC0LUEHmMhBBCCCGSiYovCFEjpk6d6v7++2//sxQjIYQQQogGVIyMYPGFNm1i/akQqQdvEaGoNEnW/SOEEEIIkSwi1wt+4IEHvGDXq1cvL9T98MMP3gJu/PHHH+6iiy6q1jiFaKowOsJOhRBCCCFEAypGu+66q/v111+z/19iiSXct99+m/3/+PHj3cknn1z5EQrRJKjwghBCCCFEEyhGhAAV+r8QojAqvCCEEEII0QSKkUgegwcPdocffrhbcsklXceOHd28887rdtppJ/f555/nfP8nn3ziNtlkE58r1qVLF7fnnnu6X375pcV7Pv30U3fCCSe45ZZbznXq1MnNOeecbvPNN3dvv/32NJ9HEY6jjz7arb766m766af34WFBL2JUbrnlFrf44ov7z1h44YV936x83H///W611Vbz5zvLLLP4Y7/wwguRjkPoJ+Ge5MhxrGWWWcbde++9Bf+GYgl4Rzm3Sy65JPI5Pf74465nz57+OMxLnz59fLhpWDHCC3vggQe6bt26+XNad9113bvvvhv5OHHOKcr8FyLOWHOd/+TJkyMfSwghhBCi1kgxamAuvPBC9/DDD7v111/fXXHFFV5offnll71AOnTo0BbvJSeMHlNffvmlO//8891xxx3nBgwY4DbccMOsJwNuvvlmd9NNN7kVV1zRXXrppe6YY47xCtCqq67qnnvuuRafST8r+lsRRoliUwo33HCDO+CAA7xyh0KE0nPkkUf6cwtz5pln+pDOeeaZx/Xr18+de+65XhEYPnx4pGOdeuqp7sQTT/TnzLEQ2HfbbTd333335f0b3vf999/HOqenn37aV3FEcePv+Zmxnn766S1C6VBqUDrvuecer+Ci4Pz8889unXXWcV988UVFzynq/Ocjzljznf8RRxwR4yoKIYQQQtSYTERatWqVueOOOzKPPfaY/+rQoUPmxhtvzP7/9ttvz7Ru3TpTS3777Tfi+fz3XEycODHz8ccf++/NyKBBgzJ//vlni9c+//zzTPv27TO77757i9cPOeSQzAwzzJD57rvvsq89++yz/vrdcMMN2dfefvvtzPjx41v87ahRozLdunXLrLHGGi1eHz16dGbcuHH+54svvth/1jfffBN5/H/88Uema9eumc0337zF64y9Y8eOmTFjxmRfe/311/0a7NevX6YUfvjhh0zbtm0zhx12WPa1qVOnZtZaa61M9+7dM5MnT57mb3766afMzDPPnDn77LP9uXGOUVhiiSUyyy67bObvv//OvnbSSSf58T/55JOZKVOm+Nfuv/9+/7kPPvhg9n0///xzZpZZZsnsuuuuFT2nqPOfjzhjzXX+p556qj//Tz75JO8xmv1+FUIIIUR9dYNixFKMin1JMUoGPXv29F9BZptttsyOO+44zXsXWWSRzPrrr1/0M7fbbrtMly5d8v6+FMVowIAB/m/4HuS1117zr995553Z13beeefMnHPO6ZUKhP+w8laMa665xn/mRx991OL1e+65x7/+yiuvTPM3++67b2bllVfOfP3115EVIz6f93K8IF988YV/vXfv3tnXmI/ZZ589qygZBx54oDc8TJo0KfvaiBEjvFLx119/lXROceb/yy+/9F9Boo413/kPHz7cv37OOedk8pHW+1UIIYQQyVCMIofSEUpT7GvKlCmuEUAhpEJYUr4qWciCz/rpp5/crLPOmn2NUDPCngiPC7Pyyiu7IUOGFP3cH3/8scVnVgI7bnhcK6ywgmvdunWLcT3//PNupZVW8qF75LhY/tPVV18d+VjkxYRD/jj/4FiMt956y91+++3u8ssvj1VaO985kdMzxxxz+LDE4HsJe+Rcw2MiHymYK0bFR8YeDBuMek5x55/QTL7C5xVlrPnOf6655nLdu3ePtNaEaGQIV+3bt6/75ptv6j0UIYQQMUlll0lyKshjSQoI+5Uq4Xz33Xd7Qfjss8/OvjZy5Ej/HUUiDK+NGTPGK2j5xvDKK6/4fKLTTjutImMMjotmp7PNNluL1ylO0LVrVzdixAj//7Fjx7pRo0a5QYMG+UILJPKTS3Pbbbf5vJW2bdu6gw46qOixZp999mmUHLsmdixTLvncnXfe2ec8xSkoke9as+ZQLFFQgu8l7ydMcExLL7102edU7vzHGWuxYwWvsxDNCHslStEbb7zhi6IIIYRoHFR8oYmgotxhhx3mhfm99947+/rEiRP991yCL1XDgu8JgyBPMj8PeKrVVRKOma90NeOyMf3+++/+++jRo31xCAoHUH2P4gFUjCOxP8qxop5///793YcffpizAESU40D4WKZ4WC+jUsaEwjbffPPF/vu4848iGFYGK3WsfOtMiGbBjB/Bvn9CCCEag1R6jBDG8dIkhUr0tSHUjaphM888s3vooYe8J8aYYYYZ/PegUG5MmjSpxXuCTJgwwW2xxRa+6tyrr77qyzyXAiWhg2GWfA5fHDNfRTTGZWOy73iGdthhh+x7COvCq4MHicpxeJG4DkG4Hvw9X1HOf9y4cT5s7fjjj/fV7+KS71pznrzWoUOHFu+NOyfhY0X5+1LnvxrHKnYcIRodK4EvxUgIIRqPVHqMCD3Cop2Urzg5LLn47bff3KabbuofxAMHDvT5HEEsrMnCnILwGvkvYQs/gvx2223nPvjgA/fYY4+5pZZaquTxkRvEGOzL+gHxMwpTMLzMjo13yM6D8eFtILwuqPCBheERbmefGfyi75G9jtIUzueya2LHYmwcH4XLPCeUurZj8P9C5a1zXWvy7+iHRDjg3HPP3eK9+eYkOKZCx4pyTqXMf65jRRlrsWMVOychGhn2BtuLpBgJIUTjkUrFqJnACr/lllv65Pcnn3zSh5aFQRinYEGuJq0UGaCZaxAE+b322ssXPKBvTa9evcrOe3r22WezX3w22HHD4+L/jMF+j2eIn7HEhpUSy1nh/CB4HL423njj7LEoEkCT0yBvvvlmi7HgeUKwoa8S4YN8rbXWWv539P/h/x9//HHec811TnhPUP5QYpZffvkW76VBKucaHhOepUUWWaTgdY16TnHnP9+xoow135wyTyiYUY4lRKOC8cPA+xy+X4QQQiScTAOT9nLd9KnZaqutMm3atJmm5HWYgw8+2Pex+f7777OvPffcc/76XXfddS3ee+ihh0bub2OU2seIEuBbbLFFi9f32GMPXwKaPknGZZdd5j+f3lkG87rAAgv4vjnFGDZsWN6eP3PPPXe2588777yTeeSRR1p8cR049j777OP//+uvvxY81mKLLeb7+Nhn8v6DDjrIl7RnPRr33XffNL2BfvnlF98biPLkQXKV6456TnHnP1e57jhjDZ8/nHbaadOcf9ruV9H8DBkyxJewt6+xY8fWe0hCCJEqfiuzXHekHKPOnTtHDveiwpWoDccee6x7/PHHvceI637XXXe1+P0ee+yR/fmUU05xDz74oFt33XXdUUcd5QsaXHzxxb6S2L777pt9H+Wpr732Wl/AAU9A+DO33XZbXyLaQviuuuoq/zMV44Dy2bPMMov/OvzwwwuOn3yTc845xxeM2HHHHb13hwp4HPO8887zIV4GVecovMB78Y6RT3TnnXe67777zj3xxBNFrxWlonv37u3PmbA2wvseffRRfzw8WhaiR0lqvoJYIQK8SNtss03RY3GMrbbaym200UZul112cYMHD3a33HKLL2IRLK1NvtSqq67qrz9eKKrWce0JLzzrrLNafCZ5T5QPp9qVFWCIek5x5h+sVHewAEOcsYbPf+jQoX5dHHDAAdOUFheiGfOLDMLp2AuFEEI0CFG0p/79+2e/Lr300kznzp0zu+yyS+aKK67wX/zMa/369cvUkrR7jHr16uXPP99XmKFDh2Y22mgj743B0r/77rtnfvzxxxbv2XvvvQt+ZtAjxM/53tejR4/I54EXaNFFF820a9cus+CCC3rvEJ6PMD/99JMfH16m9u3bZ1ZZZZXMwIEDIx+H5qTnn3++HxvHWnLJJTN33XVX0b+z84zS4NXAs7Tccsv5cdKYFo/RyJEjp3nfmDFjMvvvv3+ma9eufl6Y08GDB0/zPpuXsEcuzjlFmX/gs3LNX9Sxhs+/e/fu3mMU9Hal8X4VzQ/3XtBjhAdJCCFE43iMWvFPHEVq++2391bnsDcAi/Bzzz3nLda1ghhuqo7huZhppply5t9gYScvxMoKC1Frvv76a78WqXJHY1qRG92votHB407OHxEWPFrxmPK8FEIIkQzdoOLFF5555hm3ySabTPM6r6EYCSH+B8KRFYyoVBNfIUQysQqbhLmCKtMJIURjEVsxomQy5ZvD8Bq/E0L8D3J/qEyFBZk+TEKI5r3XLcd24YUX9t+lGAkhRJM3eCXRmiTql156ya2yyirZkr30z7npppuqMUYhGhbzFtHEt9x+VUKkzdvaSPcMvdcYM55hisOAFKN0lGj/9NNP3corr1yRZu1CiAZTjPbZZx9fWerKK690//73v/1r/P/VV1/NKkpCiP/1MAKF0QkRHbysF110kTcsUJGxEbytVpGOptNWiU6KUfND1dFhw4a5GWecUX3ahEijYgQoQJQDFkJE9xgJ0WjgBSFEbI455qjpcSkJTyEO4HuxZsdJyi+imTItLkCKUfNDQ3D46aef6j0UIUQ9cozgq6++cqeddprvy2IPg6efftp99NFHlRiTEE2DFCPRyF4belKde+65Ne9PRwSCQd+yRsCehUGPEZUW+RL1X8uTJ0+u+OfymfSEs/mPWeS37jB+ro0QogzF6L///a9vCkle0cMPP5zdFN5//33Xp0+fuB8nRFOjUDrRqCDoYQ3HY/TGG2/UtNQqz5NGU4wslA6PEeXmreR8mr1GKAqc/4cffugbcT/55JO+KXStIQf6nnvucX/88UdFPzc4txMnTszKQ40AY6WZ+n/+8596D0WIxg6lO+mkk7wF8ZhjjmnRk2W99dbzvYyEEP8PAoBZKeUxEo3G999/n/359ddfd5tuumlNiiFwLKzYhKOhmNEHDOUs6XlGwRwjwGv0448/euE5TigiygTnP91007lGVKa/++47n3NjX+PHj/e/W2yxxVyHDh3cI4884nbYYYeajQmF5YcffvA/f/bZZ2755Zev2GeHlV7Ov1F61XF/E9HAd5QkcqSEECV4jLD8bLvtttO8zsOA6ixCiJZhdG3atGlIIUekG4TaoMBHCHW1QSkYNGiQ/3mLLbbwzflQiizfKMlGEHv+4TGCUgow8DlUfj3//POrEvpVLVDk7rzzTnf66ae7m2++2fc7JE8MpQhlmubWHTt29D8PHz68pmH3yCwGY6ok4bltpDwjlHYDZVYIUaJixGY/cuTIaV4fMmSIm3vuueN+nBBNi8LoRDN4jLDymyen2nz55ZdeuOSeWXHFFbP9gJIeTkcOFsoBXi06rpeqGOF14vmKhyMYTpgEOD+e8+F8M5S5W265xeeFofjMN998bq211vI5yESYUMF2ww03zL5/hhlmcI8++qjvSl8LPvjgg+zPeEYqmVNjczvrrLO2yDNLOhgggnLct99+6xoJ7pN3333XG02EqLtitMsuu7gTTzzRWxvYBNlksPAdd9xxbq+99or1WRdccIFbaaWVvOsZj9M222zjXd1CNAMqvCAaFQQnU4w233xz//3tt9/OrulqYd4ilCJydBZddNGGUIyCFelat27dQjGyqmVxPgdefvlllyQIaaQ09fPPP58tMoBgev311/u1gVf8wAMP9OXV99hjD9erVy83//zze2XRvI09evTw32kGf+utt1Y98R9FKKiAIbN88cUXFft8m1urmojXsJY5VMhhr7zySuz7Ek/ehAkTsv8fMWJE1pDXCLBPsObIHWskz6poUsUIFz+xwrjG2XSWWGIJt/baa7vVV1/dV6qLW8jhsMMO84m9zz77rN9kN9pooxY3rBCNijxGopHLdJOojrCLgIsgS3W19957r6q5IAg7sOaaa7YQOC3PqBEq0hmleowMmoYmyQNhSgDf8eqxv11zzTXeI4Pyc8ghh7iePXtO83e8F1mB96y//vreu4LyiEBLMYZqghfLPJ6msOD1qgQodaZ00dAXRZ7XuHdqqSB88sknsUMELYzOKiii6AZDZ5MMYzWvJV4vikdIORJ1VYywft90003+QcWmRlUTNnDii+PmUaDt0zB2ySWXdMsuu6zr37+/t1K+8847cYeVSrDeHX744f76Eb/N5rzTTjvlta6ygW6yySY+ybJLly5uzz33bPEgBubyhBNO8I3q8OTNOeec3mJsAksQvHtHH320V4p5KGCNK8UlTxgGTYL5DEJnrrrqqrzvvf/++91qq63mz5cNnWO/8MILRY8R57yAOHiuJccgz2Hrrbf2az4qr732ms/FW2GFFfy5HXnkkTkrFiFc4IGda665fIgJPcIwElTj+pV7TnHGyvkj3CKUkHie7/xFMjFvEXONQMs9V+1wurfeessrPxwTTwOwdrhfeT3J4T7BinRGKb2MwooQ3oCkQLVAgxwhQuR4pmD4OeKII3y12nzhkUCIHfmWFGriWUHIIeuJvbkaoKRgdEUuQRGzUP9KKS54XaxIhkW9QK2UWY5v5xJXqbEwOp6DzAsk+f4KnzeKEHPKeiLs9LnnnqtLtUPRnMRWjM4++2xvScRjtNlmm3lBC2EMax+/KwezviC05xPM2JyDX2nmwgsv9CXTscJdccUVPoyB8AusdkOHDm3xXjYPPHs8pPD6Efo4YMAAH/sddMOTOIviSyjLpZde6qsPogCtuuqqfvMJwkONhyMbFYJ5Kdxwww3ugAMO8ModAj0CGEI05xbmzDPPdLvuuqtfe/369fPVEZdZZhkv8BcjznkhwK+77rreo3nKKaf4ZGisjFjOozxUsaozJ9wnKGP77befu/HGG92OO+44zXsxDHAuu+++u59DHrLcV8E+LpW4fuWeU5yxBs+f9zO+fOcvkq0YYWwB7hNAEI4TGhYHW0drrLFGtvod381rlORwukp5jKyAgykZGBiS4ikLPm95jlAQAwPJUUcdlQ15DIPiYMaXhRZaKHtdzLPUvXt3d9ttt1Ul3wgvil272WefPbuGUfSDFRdLxeaV82Gd2tzHLcDAGEsR6oMFE/AAxQmny6UYoVw1gnJh+w/XHUMvzyHmkxBP9WQSFSETk9atW2d++umnaV4fNWqU/12pTJkyJbP55ptn1lhjjbzv6dOnD4HN03z99ttvOd8/ceLEzMcff+y/NyODBg3K/Pnnny1e+/zzzzPt27fP7L777i1eP+SQQzIzzDBD5rvvvsu+9uyzz/rrd8MNN2Rfe/vttzPjx4+fZm67des2zdyMHj06M27cOP/zxRdf7D/rm2++iTz+P/74I9O1a1c/70EYe8eOHTNjxozJvvb6669nWrVqlenXr1+mFOKc14UXXujP5a233sq+9sknn2Smm266zMknn1z0WJtuumlmzjnnzLz55pv+76ZOnZq56aab/Gc+88wz2ffxe17j2hms1QUXXDCz2mqrVfT6lXtOccZq5x+8L3Odf9ru10biyiuvzBx44IGZF198Mfsac89rTz31VMWP9/333/vPZp8K36eMgd+Veu/XgjPOOMOPkfVrjB071r928MEH++dbFE477TT/Nx999FHmhBNO8D8H79l6cvvtt/tnxXXXXee/n3XWWS2eJ/nmlffyt8FrMHny5My9997rf3fuuef6uY16jaJy9dVXZ84//3x/jMGDB/vXbOwPPPBA2Z//3nvv+c967rnn/P+HDRvm/3/PPfdE/ozff/89079//8wTTzzhnxNx4G84nn1FffZyTPubSZMm+ePeeeed/v/MV9IZMmRIi+vOmHm+2GvF1tHff/+defDBBzMffvhhScfn7+666y4va8WdsyTDdUNmmNoE54TsUUg3KEbrUuI7c/WyoIJOPk9PFMg1wstx33335X0PSZ1YluyrUWJiqwVhZOHEfrx3eA+w7AbBs0T5W7MAwwYbbOCtsQ888ED2NUK/wv0MyC+gylD4M5nvcno2vPjii95bceihh06zFsgzw6NlXH755T6sBuskazBuWFac83rooYd8URC+DPLq8IIEr1U+qyrhZXhSOR7zw/1CYRL+H/x7jmMJywbhcPvvv7/3xgXXN5ZkQk6CDQrjXL8454T1LRzeEnWsdv4kXxOuZ+Q6f5FMuL/MGh3cL4LhdJZ8X2lvEaGu4fvUPEYk8CfFexIEK3W4VDew/gn34fdRohuw1pv3lr0Oz1lSijDgjSDHLOhtYF7w3hfCii4ssMAC2aIUwF5CBAOQc8T+8fTTT1dsvFxHynQTcg3mzbHvFBuopOci+NlEUERtJMv1IRKG8cQJ8WMubB7M2xZVHrL8Ip5/hEHyfLKiGI0QTmfXnSgY1iVrkMgXzoPryf1SaH+imh3PKDyVcfcT3s/fcYxLLrnE9e3b16c0NIKnrRhEejz44IPZ0Nc0E1kxIl4aQdhCG/jZvogVZmEiDJYCeTLkKyHo4VrPBzcxD5vgVylw07DAk/JVSSGDz8KVb+VDgVAzQj0IIwuz8sorR0pGZTMNfmYlsOOGx4USw0M0OC7c5Aj1hO4hfFieULlNhcPnhRBDMnG+a8XGaw0Lc8HDmPhnC4UxxZXvCH3Bc+Jn7qXwOuY4EEx05zwJVyQPI/j3Ua5f3HNCiQmHRkYdq51/+Fi5zl8kEwQt6z8T3I9ZV8wj+0sl+woh3Ni6tqILQbjPLc8oif1WENRY8wj7QeMg96DdL1HC6fgcBCzyJhC2uRbMASGEwZ4z9cAUO3tmcW68Fs5RDcI1sXViYXRByCVjT+EcUcCfeOKJilWlJTeL+cB4Y6F0YM1dCaeLEoIdNZQOuDcsryxqnlHwPopTLQ/jFc96FDA7lr0WJ4zOCOYZVdroUS3FiFDJN9980/+MYoeRz+4XDC35zsPWGMbVuM8j3s/fsa5YQ1wvwvRPPfVUXwSClJJGxcJLh5d5XzQDbaK+EYs9C418CfITrFeDbQjcWGZRjAqfR9ImnbBfeumlbMJttWHDRutPCvvuu2/FurrffffdfmEH871ybYQGr1HhBatVvuppPGSwEsetOlgMxsXDKxiXb+sJa5ZZ9dgIschSgYdCC3369PEPUuaQ9cO1O+igg2IfP9d52bXId62AceWLqbdrbQJS8Jry98Fkat5b7DiVuH7lnlOcsRZba0lKJhe5Mcsz8xX0SCMMkBtCQjv3DV6ASoCwgYDHmsWLGQZhB084ll6EmlxCdj0xwdSqrQVBaEaAjqIYmZJhn8MestRSS3ljA/dNPXP0TDFiHyFSgaIqWJbxLIf3n6CghRKF18YUkzDk/Ziyy+cgZNIktlSjJ3BMBGPzFjEHtg8jQCN3oHyyjrfffvuSjsFnhBUjOweeV6wJUzbywZoP5iNxPSloE15DuTDPDmMgOgDjF98xagTHkwvbo7nf7r33Xn+fo4TzHEWwZx3mm9NKymB4J1CMMbjEue6mGDFW9gOiPoD9iOuAjEAUCOdjeWVBgrmK3Fdm3IuCPb+ItllnnXW85wiDPmMiKgcDP9eS35cTQRUH5px7jX0bLxrzSXRQrsiuKA2qx1Yph7QpFaO9997bf0d5YWOshCBPyM8999zjHnvsMW8RNKsYShdJnSIePKS4piioNl9gVoxcio9Z1HhPrt+zwdOoj3mnkEAl4Zj5evwwLhu3hc0RakCo5c477+z/v8MOO3jPDEUY4ipG+c4r6rUqdE5gm1JYsAz+bb5rnus4FJ7gq5TrF/ecMFLkOq8of1/sWI1sUUtr4YUgCBoIlISPECFQiedAsOhCPqEQAQrFqJI9aAoJGhYajmISVaHJJUzG6WUU7IVkEG6GYoQiSp+/cq83hRAwnBW61sUUowUXXNCfF4I8X6yJXPuQhdGhyOYT0tgT+HuKwuBBotqdGbzijC+saOPxNMU9qJTxmcgXnA/XIl9qQDHYx/B0WnU9gzWAsB7FY2TKDYow4+UzmZti4YkoFXaPolxR3AZlAGWSe4Sqf4VC8Gwtcs2tAjDHxTuMB4txVVsxYpw8Z/AUE0kQtaIx1wkhHgWItci1Ds4ha43fc25ESVDtOChLmtJq7zdvLKGrxeB9vJ+/RflBZqWyLS1mOA+KOGEgJLqF63rOOedUvIcha4R7BCWINYAiFAzT5Tx4nX2CwhRRQbaywhVjxowp+b5InWJkUMUqeJOFK6HEsfRcd911/juadxA2RipgVQusRXhpkgLjKRduWm5SNmnLBzFsY8jVwM3ixnMpoligsDywGSG8hGP/o4LgEIzB5XP44pj5KukwLhuTfedmRxkKPuRQkvAgsRkgyIVDTnIp2YXOq9RrFf5768UVVBCC52TvLfU49vs416/cY0X5+2LHksEj+ZjQlUtAw6tIuBACBuGTwZy1UsBibsJGoYgD82YiiCMYVmLPDCtDCGsINBwDwYD9hRyCoOAbtVR3KZXpcn0Oipldb8aHR6EQCDcISwi5uRQLFCz2JjwnuRTfYmNjv8GYxL7GdeG6oQCFQ295n60jFKlCoPSyBvBkMC5CpGjlQcXLUkAoNoWIcYS9VfRetDLeXKtiikgubD4RjlGw8BzgfbJjcb2Yi0LKnYXRcX14FnHeKP7FxoOHjc/m3JDH8OKiBPB/8rTxoORToO35yO+5BoyPtc74TUFBMYrjRSkFhHtT7Jj7qFVtTamz5w5KAesGpTq4V6Ac8zsE/mA4sBlWuMbcVxhAOPcoaSCW64cx1kIm7VpiaMBhgKcK+ZX1wVzk6utVKswTkVvhPDD2ThQiztOUG8JS8RyhGEYhqMhPmTLFr8dyvLaNTmyTDAuZnCAsCriqWSDBr7gTneurmkqRLSQWc1K+ytXMeThtuumm/mbkgRLcJIJhTeZCD8JrWEbDFn422e22285vuHj0olhO84HwxBjsi6RFGxc3Ydi6xrHZ0Ow8GB+WRVz/YcuSWbZswwwehy/6HsU5L7sW+a4VhK9vrmuNwMe8Bi1G4Q2c95Z6nLjXr5xzijPWYmut2HFEsj1GCFKV7GlEOWqgYEyh0BPWFQaMSvYzYt8kDIby/fTnwhuN4MQziH0ZIcMEuLilukvpZZTL88T1tryrYkUYuO/JwTzvvPNyen0xVpjBJk4JcbAwG5751rPOhNlcfYiYI/YmFEP27UKYBR4Qxrj2jz/+eEnl2fF8oNhy3cwYF54X8yRxLsGczTgEw+gQQvGgEhrG/xk/67TQNUawt/BjFE1CRe26FSsIgEJj3gNyuwGvBfC8QQbIh+3L9h2FgGgLDA08Ey1EMO76iAP3VbAhbZw8Hws95NxNCc2Vl2Z7iTWCNWxNoYxbCB7Xs9g15/d23a1oSK51jNJtxgsMGZWEvYj1wfpi7ES8nHTSSf6exzgczJVmbdPfMGq+UDhXcEzouqWN2IrR8ccf7922eHsQtogJJucIgeeOO+6ozihFwQ12yy239Dc88a3cmGFobIcVMlczU3NlhzcuEvBxCRPqGPQSlpr3RBUY++KzwY4bHhf/Zwz2ex5y/MzNG/aQ2MPFrKzB4/C18cYbxzovjoVFKNe1ItGTh2qhSnwICzxksBYhEJjFkHFjYQ9ea35m3sIVqyyhNDwvYeJcv3LOKc5YUTQ5//Cxcp2/SB6ErdpDMZ/l2uL2EW7KEaAQXE0xsgps+ah0PyP2BlOG+DwEQgRU8nguuOCCrKBJGFsxKuUxyhVKBxb2hsCfL+8QQZHeYlZhk1yIcPJ5MJwvbh6BKVRB7wvCPOPi/E1xMqyyFd6QKIY/FEj7bPYIxo5gV6jQTSFvEZ/B+goWRDBQsE25Q6krpdiAzSdeM1PU8TbigbL5K9TPCK8Px+UZgTKI8sZnBQtW5DuuVaHjHM3whuEAgZn5IBc3X7EOxgdcVwR4onUoSEGjdq6J7e9BxaXSIKwHnyMoRlH7D1k+WrDpdC7FPIpiZMYY1raFFOaD3/M+3s/fFcJypsyLVymsaiNyC1Vf+c6exRpgXwgaSDFqYQi55pprIlXwtb+1iI6xKc8ziq0YYR259tprvdsYAQjNleR1moYiAIvawcZPKBmWW6xVhUJRmC8Up2BJTxQENopwUi/x3XhamGe8K+XCg51kRPsyix2x0Gw0FlJp8H+SewkNNDhPzvf2229voRSy5lAGzRMRPA5fwSIAUc+LcD0sgEHhHqsUBoFiCdBshAiOlMoOeuHuvPNOv0EF/57jcE40PzXYzHDF89AKCqa5ynXHuX5xzilXue6oY+XhznW/6667Wgg1uc5fJNdbhKCWL+wRARaBF8HOFONSwHiAgIRSTqPmYlRKMUKJwCPB+EmQZ22jDGF9taRpqyqJgFioFC+fUchjFFUx4nPyKVgI9jaeXMVLENgIsUEZYc54LiMomRBsBIWdOAot52/XIFggiWNZgYHgfmG5MhCnUIaVjCYsiC/GyP4SVWjmeWBWffPAMCe5FDN7BvG7Uiod2rVk3oLCL1EItg4K5RmZ8mPXk3HYtSqUR8e6ZX65JjTsNvh7C1nEW8BzMazwMS+mKKAcIlwHc3Mwetu58KyoRBPcXJgXluc2a4g9IGqVS7vuGHutUAv7QXiNmJcyqBixniySw5R681QWKwpkv+f9xXLfuCc4Ps9H9rhKYPl8zD17VBjzullaAPIQ+wiRIzSBR+HOB+M0ZdvumzHyGMWDC2abCpYOu4AsmCT0W0gTxx57rN8oCaNjHhBGg19BTjnlFC8ss5leddVVXhBASOWBG8y34gGL4oCSxfvDn2mWQ+BmovABXyhZVlaa/0cpo82mSIIiChtjwftI0QiOQ/nLYGgN7n4sNRSXYAPnHHBp81Cz0LxCxDkv+gLxkEGxuPjii/3fErKAQMg1z4c9eOi1xLXhWl9//fXecED4KVboYEIkCgXnTX8uCkCgdKDsYIG86KKLWnx2rnLdca5fnHPKVa47zlgJ5eE6YNEqdP6isfKLghBPX25PIxNiuSej5AwF+xkVetAXA6EPARCjCcoQ90E4jA8hHYUNYduKCOSC+9zKV+cKGYuqGBX7HAvf4ZoFBXGESkIBuQ8Rio455pisEhUOEwsKOwiYUeeN9yJMohyFK1faPoEwb+FIVtQAwaxYflYQU7LwdlilVoRoyiBHASUdIY89zc4tXzU8OxYyTCnhdDafJlCylpg7BGFTIvMpRsyfKa1BRdOEUpTK4PPIQNk1JY7jhe+ZoHEKZcG8sQbGU+aR49OPLlwYAGHaZAG8R0EPZDUUI4whZhCJEk7HPW8KEEoVXhHGibEwbASw+5m1a39jBhWuEzJAVG8sr1t4ZjHPth3TcnuKeaLieoswuoY9oNwvjJHxWb4+9zoyE9eH88Yznu9+N4MM94IZksfKYxQPlCLT7tHYrWEjnqRiZSJFZbHeMVz7Pffcc5qvIGwGhBkgHCMMIMyS3EpISdCzYZ+JwJPrM4OxqNw8lFbly+KaeUjz/yjKignsCNmErKD0EAZw2WWXeQE8CEoA3g3iam+99VavHLER4JlBMYx6raKcFwIRMfoIIyh5nA8bHdcvV7gMsOlY3DaCHhVqGDMhCpwfjVApihGG8NPevXt7j8qRRx7phQsUnXxxzKVev1LOqdSxknAa9fxF4+QXhcNFEFxZ86X2FrJjmSBfDMszQrArp58R9wgg5OQL82JvsZCZQuF0Jvzmyn8EeyaiYFnCeC5s/0Ggy6UkIghyDIRAE7bYf9lnEaQRhjFwMG+W44DAH7SkB4UdrmHUCpEWFodgGu5lhzCNQMVegEIUfH+xogu5rhVfjBnlYpdddsl6YYo1nWT/tbwqhEObl3yKER4p5hjlgPmN6pWya2eKi+353A8mNNv64nrnCqVi3XM8zjUo5HIdbby5zpf90xTNXPcMXhTWM8Iw50X5aPPa89wzuc1C63PBfLLO7HPIX6mU1wO4B+zcCLu2vlIoRsUUdby31jCZ+4H7zZTJcIQD15L7iHVkYXvmiTMDCzAHppzl8xrZ67yvmIzLfLNeWR9cQ9ZWueF0RPkwB3xeMDXAMKWS82KPROnjGnF9qFjI33EOufIOwyG8wZzIqTHuCYtAKTVnr+EVIywKVPIABGxiGLmBEIAQVkXtYKHnK2CRa5PhQf/MM8/4m5ZNG89C+MHRv3//gp8Z7M3Az/neFydB+l//+pff2LD2sWkifOcSWAhRYHy4hy1sItdGkYs45wVUeMHCZs0uUT4LhYVgoWFMbEZcUzyoPCARPth48PjkyuPh3sGDwwOWv2djyXVOlOpmnOEKjnGuX9RzsnVV6lgh6vmLZGGhtsUUI5ReE2rClukoWIGQfD2vcoFQZEJNqY1AOT/2Ju7TXD1OglhhlkKCYaH8IrtnrKR9Ia9RvvwiIxz2Q2gtShGhQShTxx13XDacmHEjHHG8YFiWeYxsb4hqFbY1gbAd3lf4v4U0sQexr1huTVzFKBhOxxyhaFAdDQENb3i+XAmUMpRFrOaMEYOPKQT5yk4jNNv14hxMqYuCeYm4B4IhcXjj+VyuuRkbc3mNwmF0QUzQD4fToRTguWQtsRaCldYMzt2e51xHnvMoUyhihNZZmFWxCnAWEcRncO3pM1mppq+sET6TeWGtI5NgYGE9h70+YSzvifO3qnu29sL7AXNqQr6te3tPUDEq5I0F/m+ebSvWUAjOg/WIEQHluxLhdOYtoml6eD2z/3B/cr7knFmFOvMkoUBb2gBOjFwewGAoMM/oNv+Eato6LwYyR79+/fwXfbGC4f6pUYxQgLAWA7GOLHQS2dFaCSESIm2weZqAxIOp0qWEhagFpsRClFLO5pkgyTguCM8IW+RDxFGY8wmOUTFrPkJEseNilUbQQODOF3NfKL8oTi+jYgpWMOwHAZky4ghhHBeDZPD4CI1WJthywJhb81iZQhA1z8gKK+QLi0PQ5Doxp4QpmrJrDVbjYAYq86rsvvvufk/l2pFvZOWd8UjzfxqZI4/cdNNN/u9QpEwpQjAu1EfG1jjeBRt33FLdNv8oORzPCvqYUBlWjBCYTdHMpRihTDLHrDczHHAdrOIdoBTlOy8Lp7OiFwj1eH04rilGxQwRNgeMAwUPhaVS/cOC+UXAeZgBolg4nSlOQS+bhXYyvnAuoIXTcR2ZD8svChsDURTxhLK2yMHFw4RxkO8o3NZ8OldhqzDB+bbjlBNOx5itul2uMHS7Zsy3ldc2xcgMFIQKYwRiHRG9wb1DpA1KMznb5n1/6qmn/P009R9Pka2/fKDgE26JsRSlE2OTGTIandI6qAXAqoBGGiV5VohmA+EOywybAVbaODH1QiQJE9gQKKL0LDPBDqE1buNeC0GK6i3K1c+oUFGEfAYMUxSi5Aog2Jv1PJ/VN4pCEyXPqFCTWIO9xXIXEP5RcPAU5SpzHiwZjAXblDKEeQuHi+IxYn8zC3C+Uvvse+bpsTCpOEUXgljRD8aMQoqHhHwYlD3mAMMs4dooCgj9hBGy9zJXCNiEh5tAmC+MLqxEsNbjVEYLXzcEUVMCCetGmbD5DCtG3GMoKcxDrlwy/tYUNlNGUOa5FjbP4eiGXOfEWjMlzdYKSgHXtlh/GtYra43rYQp2vjCsOLCWTDEKVnYLhtPlAyHdctiCRhvCArn2eGbCUSrBAgyWX4RSGVbYwyXxCbvn/YzH8uajFF2AYEi+KXDlVKcjwofrhucn7CXkvOyc7RpC0GPEHDLvFNpgL+Ne5t4hN500ChRBfs8xUHSC1e0eeOABrzgRIRYsZ44iRQQIxhkLb8SbRoj+rrvuWnK/yyRRkmkb6wr9H7iA4c0Ed5oQaYGHDiEebC4IeWnuFi3SkV9kIGAgRCGE8UCNEzpl5YSjdJwPYp4IwoQQCuIcE4EHwQABM2pDSYRtPDQI5bny/uJ4jKIoRsXy/dZff31/HgjARGjkE0JQTKwxLHkO5mHg3OP0VuL8zANeaF1wPU1IQ1DK5Q2JAvsngj8hPwhgnCcCIflG5DbaOfA6X4zJmnXa3mtewWKKEQoCCop5mBCGLTSrEHbdTGE05Rn4PCJpkI+CnlEbWzCMLt+zAg8c1xLFiHNAiEUxtCqRheYBZYD3Yaig+A/rlvNDcOXzojyj+D2KLgK9KdEoCayluL0qw2sJBYf1FAxnQ+jH28Aewr6Qa09gDdv5B+eVtYaxBAMAXovgfhAs2W1ez3AYXbCYDNeZ+bHri9JNiGXUogthxYg5YD4451KavTJuC+PLlUdtiqR5K4Pnbb20+AzmkP8fcsghXilCMceYwRdrk/fwMwWS+JshQ4b49zAnhEnzhcLOXsjrlkrDdcEThTEiap5y0ypGlOWmyhSLkQUavMkkFIo0gcXaBDw2n3CTXCGaMb8oCIIWgiIeoDhKSqkeI8sz4uGNIBvnmK+++mpWCIpi/TWhjWRqBHWEBsttCJfYrpViRCghVR/5zFzFHgzOj8baVHTDS2YWegSoKKF9RjBfppBQjPKCkoaRiJ8tr6oUEMq53pZnZA1gkTkQjgtZpNmTg2HNheBzUaqweqMkYT2PoxjZcYKKkYUu4WHBaIwnA8WEz2dsFrYU9vqgZHH/8WVhhAjW5HDz93YMzskqquU7J64/84YigqyGMGuej6j3G+NDMUKh4H7jXqNQzzbbbONKxbxFKO3B9cH5cN35PUp/rpAxFCP7m7CH1BQj0joQ0g17H9fPKs6FqyoaeMgIr0Xot1w2vnOP4aWNEgnCfAXz4Li/UIbwzBBOF1cx4u9YM1z/8D7HGrS8uKC3yO59lEvWEvKJKbesQYogBUHxQjFCubKQxm7duvmwOryM3IvMCediIYGsMULmyKkrdo+lJpSOmEKqgrFxcfNjGbEvqoYJkRZ48PDQwRpbrLu7EM3mMQqGV+UrdVtpj1Gp/YwQYrEo81CPav0FhEyEIkJhwnkWCFzk7fCZhe7/YooR3i/zPkSxvOargJcvnA5rteULICzaeBDkENwLYRZzKKSQcA1IDkeJKjesnvAoFFCuSdACz7UpFqbDeSJMMo4owmywxDXCdbHwzGBSut0vYcUI5Y2iNDanZgTAA4FyjSKAQMlnUcCGvA5CBIm2waKPImseDt5Hbovl1hUKowufE4IxY8HDauGFURUjC2lk3ZtAj2EhGFJVDM4/WHY8VxhdlHA61qitQ77CuYGmzOLZDY4PRcqUSPKFcuUXBcGrFg6z4/9Rii6ArVXuL46N4cTmLW44HXuLGXJyeYtQVvh89upwpUgwhSVfo99CHu/O/xhA2NusxxtVblFYadHRp08ft99++zWtUlSSYhTHrShEs8KmbxZX62EhRKPCQ9sEuGorRgifcQW1fP2MouYZWXgVQmaunJx8IEzlq04XLLEd9CSFKRa6ZsIJAlWhYgFxQalDycB4E1SMOIYJgMW8RpbwjqJRTBljXuijli8XKSocx4T7ONVNw4JelAgWxmpFBrhOhXpWmYCNQMoY8Q4gAOdaw4SxmZBuoUcWRodygxKGQnTLLbdkm+Gi8OK12HLLLbPVR3mNkss2f1EUI+Yc+BueUyhZnBvnGDUUjmtieWNW4Q1hPWohAfaTf//7374wF/cNyo1VhculGOGV4TjMd7jQCZ6gYChoeF4R0FFsOcdwdUG711HycuUXhRWssGGC/0fxIoYrS5qyQtggc8j1iFOdDicDf8NeHA77ZR7MSBP2FuXKM8pXURDF3BTw4Hl36NDBrxX+jj3Lwlu33XZbt/POO5e0Z6eiKh3uXSHSTNA6VEr1JSFqAdZtqncVEzARgHkQEm4Rp4BIKYoRD2MUGoSdUnIWOKYlXEfpZ8SxrKR4KUY9U4zC/YyKldiO6jGKGkZXCoS8oLRZErbNbZTwPqz9ln9T6x6FpgDE7VdlFvKo1myujQmRrH3rd5cPu16Wd8U4cxnFWNsm0DImrO92D+IJoDoYhgiE0K233toXlCBNgTyQLbbYwq9TE/YJg+PetKIIxUAJsLXEfW0GD84zTrqDeTtQFu2+sdypYqDMoJQxbu49Sk5zLpxDLsWZa2/enPAcBMPocu0XnJOFyIX7GQUVo3z5ReEQNDBvn/W7ikLwPjbFCOWUHldAqGYU8OTadcZbFJ4zFG2uKwpwvnWOYYBxcx52D4fBKMKccA8E7+9WgVLnaW30GlsxogqOJblh2aAiXfBLiDRgbnE1NRZJhgcsceTXX399wcpxpYTRgVkPUcCCYTOFCApqpXha+RsT2qKE02GpZXyEYVlVtzgg4HJMFCHzdEGU/KLgHsEYcnm4qq0YWdI6529enyiCDx6OKPlF1QCPEQIa44taVhyKNXbNdyxA6bAQpXzYWMwbFA6jC2IhWFxD+gihyCOIcl0R9FGAUIbIiwmHCAbDviz3L4q3KHxO/G2p+Xzcn6xJ1izzjzKIcmeer3yghJsRweaReUF5sRL4ucgVTsdcBAsv5FuHphiF+xnFUYw4lt2fdp8zX1GqFYbzDU0xwghkilHUZq/kcrFXc/3xIAZhjzXlL5+3CJgr20/yhdMV8q52lmIUD3oG8LBlkeEiZDMJfgnR7LAJsmFCoRAaIeqNWdx5wD366KNFFSMTqKKCwGHCR1SvUTn5RYYJOYT2FBM2LIxutdVWK6nHGOdoipjlScTxGGENR7Fi3yAUK0zUzykFq+AGQaUsiseI0tumGBUr8VxpOK55FqJ6jRAarUJonGtp14fcFZTXQo1GTVC074UUI64x643x2LzzHS8AChGGZRP4c2FrzoijGFlpZ86l1PuNcZshAa+RCfjFSnezbpgLzo1CFJyvlVQPFiwKY4I+YWJ2vVDsWKPFFCMLd0Nps35dYOuXvy9WQp45NYXX5pfnfBTFnHVn+Ybcc7b+CAtkLiycLux1DsN7nn/+ef8zOT1hwxG5SlxL5rKYolssz6jQvtMlUNEvjcRWjKhr/vDDD3vXaP/+/X2YRvBLiGaHzdJKsKqZq0gqrFFTeMwSaX1mKuUxKiWcrlQLdhAENowSjJuk9WA1qCAIuiaMlJMbmyucLqrHCOHGFItcQlY1PUZBASno7YpSspt8jXopRkFFIGqekZ2f5VFFhfdb6BFzUKifjl0vy80oVJac54Pl+1i4NXkaVHaLEn7NNbe5I+QuzvrgfLgGeKkQtnlO5UrSjzIHjIPPscpo1gQ1355jDZ+5ZzguY8eggBeEZ+cTTzzhKwGGPXPMA3lNwc+w+61QKB1wbigfKA3BPc7KpUd5Ttv64dqh0Nl9Hbxv8mH3MGPgWHgAuXcYD0qWKZWFcrR47yOPPOKvLdcCb2/49+Yhx5NULCwymGdUaMy59q/O8hjFgwmLUyJViGbDvEWEpahEvUgqPNRQGKx0MwLCXXfdNU1lKdazKTWlKEam4NTSY4Qg1Lt3by90YSW+6KKLssJqkNdff90LFDyzylHETDFCMLFKbnE8PYU8NFEVrFKx8DnGa94QE3zIP8hVaQzLfjCUrh6KkSX/I5hazkchovSUykewVLEVSwhjyeiAdwClpViVvGBIH4p83Ma3VqgAD2mcZw33fLAhaDlhq1ZlkCIRKILsF6+88krO97O+8DKgHBA2ByhFKGdcMzxsXEfyrPiMcGhpOJwOBYk1aEbIcEW6XF6jYDgdSpJ5kIp5P0wBQpndfvvts0ptFMUovBcw3jjhdChDVHy2ys6EWYaLnbBPsPeg8IabvebC9lfWbDiMOtj0Odf90iVQ6jxOJcJmIfadcuaZZ/pyfVE2KiGaEYXRiUbAQpDw6NCRHKECb83AgQNbvA+FBgEFJaOUsvMmQERRjBCKTDEqt7oRQuYJJ5zgH+IILxdeeGELD5kJYFBuJVXGyrXh3kfwiltiO59ihNBm1vdqeIyC4XsIR5SCNgu8WeGt/HQQhGBLzK6XYoTSYdckOK/5MAG2lDLCCOyEW+UqE27wugmJCKhRmtgGhU4UvShl1sNrnOa2lEKPS1gxKhWUMtYKRhYLraMgRK58OVMqycszpRrvkCl5NCg2Twi5MuEWL6YY0Q6G+WQPszA67qFCymGuAgwYMkwpiKoY2frJ5WnNRy6vb1AxYu75f65wOpQ3epNZ9T16DeXar+weYF6jKLnMmRlAwufAeNkb8Fzm6os1/fTTZ697Gr1GsRWjK6+80ofRsWhofkeN++CXqB2DBw/23YrZcFjgWHt32mmnnAnJ9Es49NBDveWCzb+Y9Ykyomxu3CDEOl911VU538cDlGOyafHwpMJOuGRmIbDmYu3lIcOxsE7de++9ZY+/mseyh2Mh9zyVeGhKyKbDQ4ncvFzhPjxgTzzxRC+8shHRe4TGbnGo1VzFGWvU8xfVV4x4KLM/IGAB+3dQiQmG0ZVyX5mCYyFyhUAxQBngwV4JDwnHZk0iLKAAXHLJJVlBjH0QAYD7wiy2pRIu2x23xHY+xcgEqnwCSrlg8UXBYfzcvzwzLJm8UKNXckpMsOX6VbKMeCleo2LhdHEau+aC9Wjzy7rMFU5nc8f1Q6gslF9kIAzbPRVFkSqUoxaXYL5gOUYInnN2bTAIYGDhWoSrx3H92Vc4X2RDm5egYsTvCAOz3jx4JYOKueXO8Hc8m7nOptQVKwBiihF5SYyT/YA9KYpixJ5k47B9yb7zejBvqVDZ6+CeZkoSv+O8TT62cDrOjecnFQm5npwn/YLCIXTlNODOl2cUxbvaJcV5RrHvNuJjjz32WF+djuZPCFfBL1E7sJCS74UVBjfsgQce6C053IDhmvl0Mr755pv9DVpsQ7/hhht87wQ2MoRskpYRbDleEARd+jWQu3DKKae4s846yz9QevXqle27UIxTTz3VCzbE9HIsbvrddtvN3XfffSWPv9rHKuYx4oHBnGBhJP+Ba0l51h133HGa9+6zzz7+PbvvvrufQyyKVCkyS3cxajlXUcca5/xF9QjnDaEcYAxA6LjjjjuyAnI5+UVBoQshPF/ugWHKEw/kuNbzfCDg8zxCMEL45z6gEp+tS8IIzTtSDibsBRWjqMpdvpyeaofRmVDD8TFmoARZD5RCeQRBxage3qJwnpE1R80HwifrmXkudbwYl9jzUVJz9Zyx62QGnijPIRRKvCycR9zCJuXCebBmGWe5zTgJi0NBYj1Z4+Bw6W7zFhG2aiGGVgyBsZiSC1wL229McTKsEhteIzAvdjHFiH2A80ThYI3bOjeDQ6HnnN3PFBCzvYLvVlDMfp8LFCfWJtcnWKU2WLKbPde8fniM2AeoFPrQQw/5dcsehVKUrweY9aOyaxd3bw4rRlH2nc4pzjOKnTlOGJ1IBsccc4xvoBa05tGAi82wb9++Pp/AoD8CSgEPR7xM+crcYl1Bgdh88839TQv/+te//M17zjnneOXLbphrr73Wbz54WLixAUsQ1iXry1AIHna877DDDnNXX321fw0hGmH9+OOP94K0CU9Rx1+LYxXzGKF4cI2o3mMPaR6MXMf//Oc/bqONNvKvcd1Qyi6++GIv2MFee+3lrx8hQtZ7JR+1nKs4Y416/qI2hReCjRoxBLCeEVhQklGWy1WMEKARAnhwo/gUEkwrkV+UC+5VDAIUBMIrQiEgs7LjuawEKF7c8wg6lhweNfwtn3em2oUX7HhYfzGYUaGPe5lzKZT3lBTFiH2E46NwYzHPp4xYk9SojV1zgSDMPsW9wR7PMYPnbtcJITVYNa8Y+TwAtQBDWSXg2rBmyBdC3uDe4nlCTpF5a62Md7AkvimYKFZhrxevsfcQmsozyZ6nrFO82oa9HqUxM3lGhI0RlmaGH/Y1jDbMHwpKLoNMvjBM/o/iw76Vb3+0e5g9MHiOeNa4VoTPcR/y97ZPIkejMHJuRHGsvfbaBdet7dHsE4UqGYaxfZYxYtC1axklP7LLP9c7jYpRfP+sSAyrr776NCEOhFLhPTBrS/AGj3JDYQXiwU8oWRAUCtzTAwYMyL6GMM6GZoK2bUx4Cx544IGix3rsscf8Ayh4LDYHFBM2XBKn446/Fscq5DHiAYF7fI899mjxUEWJwIoWvC5cPzZpFJjgA4gYY8ZjrnNgM7WmedWeKzbhcKO8qGONc/6ievAwQxjgQW05QCZoUhkLqIDEurKE/FIVoziV6SpRkS4fPPT3228/7xEGBCPOPWipLgf2WgvXeffdd2N5eoqF0lVLMTKPEUKOWfoJ5WEvzOfFYu3wd0lQjNij81WnQ/knXPTxxx/PNs8sd11ZyCXzFW7IGSy8wJgq5fFsFDC4Mh8oEZYLZF4jvCDMh5WmNoJhdGHwfKA8oDgEK8nxun0Ga8+eeVF6aQX7GZnHiNe4d4PFM+IoRsU8RvmUjHABBv5v64s1xDlilMU4W0yZL7WdAs9cvHWcu42T64l8UKysfed/rnfUULpC/b+aUjFiUzU3HheL/+f7EvWFxclNXkppTrDY6nCyJzc0Qpb9HqEDq2mupFAsZFgc83VcDh6Lm9Y6hAf/PjiWSlDJYxXyGPGAQHEKXxc2ZkIEgsfhZxJbw4KHjSkYw42Xi7Fj7Q3+fTXmCiUmfJ2ijjXO+YvqYQ9SFJaw8QTrJOEuhJ1dc801fj0jBJcjnEdVjKrlMTJY94R44zlH6MKbWsnKkZZrYdbouB6jsGBWzR5GQWsvz22MZnzH03zrrbdm7+Vw41nLO7QwonoqRmCKEcYXrjtjxXDz4IMPumeeecavKeYdAdjmp1SQYawKWrhZqM0d16/UfKFGhnVgHjtTGCjmwZ5vhrSgtwgjmeU5WoW6IFxjez1YvjuYj4MyxpxbCeyoihH7kO1FPLcK5cvw+fkaAwcVo3yNXgsZN4KKEVBUgfPgWUi0R5TeVKx384jGNV5xLcNlu+1c2QsKFZDq/I9ihCJVKMcKuDakdVBpsFAj8aYKpbvsssuyZRL5udFLFHMDRulmXCvY1Ct1TemwzU109tlnl/T3WHSxhIUtoQhXWDhss2GDQbDKZaELlu+1jSrfsdh4wucet/xvFCp1rGLNXQtZxHktWOaU9xa7fkmaqyhjjXP+onqYQJLrQcp+g0ePSkg2b1giS0nwTpLHKMh6663nvyoNgvf999+f/X9cjxH3IYKDeaSrmWPEM86EeQRD5hejB8owHi/2QvYwCxszQcis9ygI7HeFSiTXAq4N3mmEM/YPFCTzIjB+hGvmJUpvoCggjJu3CIOReTXsmFZ2Oo2g+GBIQ7jGE8s+g0DM/c96QgFgvpgXi1phbzElOwzPHK41f8e9YPcBzW95hiHUM+eszSgyEkoHXivzgvMzr7H+UQxyKUa8ZhUYgzlCQeWBe4T3hQ3OKC2Wu5TrHjZlKVgYhAIxceQ9DN0cnz2jFAMK15A5CytGxT6rXbt2/tqRU4eBpdCezT3J9eG9q666qkuFYrT33nu3SMBudHhghCuq1BOsB5Vwy2O1IYyKuOLgnMWBh3a+CkQ8nMwaYN8t3CL8vuB7Ch2rnL+PQ6WOxdoxpTqXx6jYdQkeJ86YKJPPVy3mKldn86hjjXP+onoUyxtCkCHHjGaLhd5XimJkzY/DEL5hnslqeYyqDcIPwo2F3kQVVKw8NkI1ygpCTrCXSDU8RniC2KsQ7MzajhJx0EEH+cRvQuostIdxmGKEx4j5Mwt+vT1GKHQI4XhwzItDQj0KDJ7tSlfM43lMeDDXjQIe3CemYKIgcU3T6DECFAPCUzG+IgBz35vCiPCNksPej6Jq1yxXGJ3BPYH3mrxH8pdMueAzyH+0Cm5RwuiCypYpRniLoJDHKFhIJWwc4j7gfufzckXi8HmsB8aby4Bg77f3lWIED4bRlWJAt72W8TOGOMaYzp07R1KMrAQ592MztDGJbSJEgM8Vb4nWnLaY2ySBNYCwESwzlg9SCjywczUgAx7qZum079bsMPy+4HsYW/DLhGN+H+Xv41DtY1kYHdc3l4W92HUJHqfcMVVjrgodK8rfxzl/UR0s9wIK5ddssskmWYWm3KbdPHx5aCMk5atMZ94iC1dqVCxcC4UhTrW7cE4Pz0zmKp9QVS6mdIX7v1CZkFxB9i8L8bH3sp8giJmywT5XjTLicSEfkvFyDddZZx3flwvvRTXKiHMc83BgCWeO7Pqwh6HE1ltZrCfW8JWcL+YAA6G1v2Ctsfej0KAo5QujC2K/RyEPh2wFQ0GjEox8IHy0mGJUrP+VKRC5+hkFw+hyKS2sExQFPEulFjEoNb8ol9eLPSdORc0uEUp285lWpr2QEtzUVenyJVhZR95GgI3PSkImgXJCWMwyaFYt3M5Rq+XkwnoIcPMEbxwemNwA9tkm3OTqXWKv2XvDlgYqRuF55HWSN8MW5vDfxx1/NY9lYXT5KtIV6unCa8Hj8F6LHQ6/L8qYqjFXhY4VZaxxzl9UB/YBK7xQqEM6a/joo4/2Vvhye9Dx4GUNIjywTnKFzlQ7v6hW4GWhMWXccCqERu4BU4yClttqhKcHCy+E4flHVU4KFwC5fyTUI+xiVba/QbBLQug8QiuFNRhLLcZDjiRzzD2CkSFYeCGt3iKDPYX1wfqiAiSwf2AwoFca14uIHMp3s+ZpUlsIlAqr1kbUS1A2K0UxwkuELMo6DnuM8Fozh0GDRjHFqFABhmJhaVaAgfue84vbQBsjE2uPzym0lxeC5wB7Lko+19dKi0e5pp0jlOy2yoPcF1HywJpKMaKxKzBB9HgJXgCEM/rnYNVpBDiHZvFucZMTj4sr+rnnnitqnSmGbUq4xOlRY/B/Nhr7PTdbMBY7CAmZCA1mBQ03ATWrAp/FWiIWOThu685eivJa7WOZxyifu5iHA5sO14UynEFlhYdF8DWOibIWLgsbdUzVmKtCx4oy1jjnL6qDeYtQUosZq5jLYKXCcuB4CBlYD3PtQ7XKL6o2eNfOOOOMafIR4hZgqGXhhXwKHu/BUk+4DA01TYA0A0aSPCPlGhDjgED96KOP+utBwRtT9NOcXxSUn/AUWUU6jG7mpWGOEJD5suqXUT6P/QIZkucznic+B7nS7pU4ihFRCbQy4Rlocir7IM84DEYodLa+iSgxD3c+D4q9zvuC+YFRq0qaYsR7C+Xx5sKqvaLYlONlN8XIWo+ES4tH8RhlcoRIcz0sJ7HcwidJIvJOQ9EFvrg4xCfb//ni/4RQ8F3UDjYOqi8RD02Fnkr0LCBhmZvhuuuua/E6/yekgnA9g+pPWIyCAjfWZyxtwWaeG2ywQYsvE4xoCIyCQY8dw9YXccyUI49LtY9VzGPEA5Tj0kMqWOntzjvv9MJH8Lpw/ZhDmp8GPa94uSitG3Sd5yrXXY25yleuO+pY45y/qA7l9iUqFRM2cnkLm8ljZOcaN8QsrBjVslR3PkwpxoKOYEpz6yRVpKsXCI08O6zEs61pFKNyw06bAa6BFbvA+FhuXgleJQR/nhmWH4QiwvUP5shFBcUsPE+5wsLMW4TilU/x4HVTzILhdBhJ7V4udA/b76I2Uq9kGJ1he65Vnyy1aEwYFFk+k3Mst4lwQ3qMrHkXCXH//ve/Y2nwojoce+yxPhQCjxE3e7ChK1B5KmhFRjgFE47PPffcbB7Cnnvu6X/GGkJzUIo4IMRuvPHGPjyPz6aKVfAhS/+cm266yQvgNP1kA+vXr5+/QRhbMXAN9+7d2zcNZZPhIY2VjuNRXS/o1Ys6/mofC4GB3j+FHgRcJxQt+hMQy89GTxNVGpuS12GgUHCN6XiN9ZiHw+233+7DWW655ZYWn0m57rPOOstb6Yixr+ZcUbmK5p/BsNk4Y416/qI6RMkvqgbFKtM1i8eoVGqpGGHAMUt4oWc1VnTb+xAALTfQPI1pVYwsPAxFketnuZxc12BfsLSC4shz0PKMygVDI146kvgpwoBRJ1+OXKnwPGRvDCpGUfNteE4yHhQjK7GNsZJnJAaSQhURgyW7rQBDFFhrtpeWa+Rij+G4VjgqqmLUpk0bL/OQrsH5B41BKETWpwpvURJCbuuWY2Tu0+DFYTHzEJayVFussh6Vpay6VD7FCMX29NNPb/F7+z8CbFCxQIhGcEaYRfHCWoFn8KijjprmoUoFM/IUUBy46RDaeW/Uh33fvn39urnhhht813qSJRHsd9tttxbvizP+ah6LSjw8EPJ5jOyBSljjiSee6K8N14lGqBdccME0773jjjv8Z6OIsfEQRvDkk0/6XjNRqOVcRR1rnPMXlYUHdb09Rrkq0yFYmkAixWjaHKNKwzGssEMhz5YVGmBuyFPFWMT7zTOeZsWI1ACMZibXIOtgYGuWMPxywQtRSe8v4XTIkoR8odTbflEpubKQx6iYt4N7lCiKYJ5R1PuX+8uKH3BfRu33yT7KmkPpKvcaIK/wnI9bTRM4NooR1y1oFCAElwgW9otmCy+NrRhhdSdfAUGHSUMoIpSLi4OQZNZsUX1ylVXOB/MSpzPxv/71L/9VDB4UhPGVCg9mvBB8VXL81TqWVc4pFjqw5pprukGDBhUdEyEseLH4KkSuct3Vmqt86yrqWOOcv6gsPHgRKlBKyg2/iAvCBfcY9weKc1AAIIyOe4qQmGZJ0C1HMcIwYRXhquExCuYXFbPkMi7LuzjhhBO8t8hyNevdw6iesMcj8Jnwp8IL1QUFwnoQEaJlHs+oikTcfBm+8jV2DRNu9Mo+FzVHkPuPogvsgdzzUc8naOCqhDcGJRbFiEiTOHtw586dvWcwWICBa2dFF1Bom81YEDubEcHKXKd4KbhgaNJYhunkK0QzY8UXCnmMhKgX9jCNUnih0nBPmAARDqdrpvyiUjGrL9ZXBCQMi1yzuEUcomBCTBQhLFh5irwMhDg8RghjaVaMrKiMhYAiqCu/qLpY0RZkSsvJqZTHCMULAZ61TS4Tn889yD5Z7B7k93hfgw1d44TCBsPpooDiYYUXKuX5R6nnniYUMI6i1eWfPSSoGKFgcf5cT3oXNRuxFSMWhT3ciL8l74DYUEppWpMnIZoRLEWWvNgMTcxE81Gv/KJieUZpzy8ClAwszQg91uPFYv8rTZwwpHCIn1nqCeFpNktwXIiOQYj+4IMP/JqWx6i6oATgzSDXLUqOXBy4z2ytc38Ew+iKKQr8PtjPCO+hFReKohjZe0yZitpygfuvUi0uGP/uu+8eu6hV53+uv3nawLxF5Bo3Y2/C2Dsyi4iEKwTEgQMHug033NC/jrs57ZuoaG4s7p4NtpalY4WISr3yiwxTfOQxKtw49IsvvmhhSa40cfq/BBvPIviYQJrm/CIDoY8Sy0QK4EnL1Z9LVPYeCXogMEAWKmwQF+sjhIHfFKOoOX7mDTdvid0jUcpo233Oca0AQlTPfyWNsISExpXTZ555Zj8v3AP0gaK6rBVja6YS3UFiS3f77ruv70ViVSgozWv9TBqlj5EQ5YbRNVMFFtE8JMVjFC7ZLY/R/2MWa+snUo3CC+xTZs2OEkqH4MN+RoEMDJxSjFpCRc5gTzxRXVBEzfAYJUeu1DyjqPlFht2r/F3cipLcY8gNGFcJpS1GpcPoymG66abLGgS4blQNxIDCXh+3YW2jEDtRggRwlCImjjA605a5eCeddFI1xihEojxGCqMTSaSehRcMq1qEx8iSlIkuMCFEitEsVS/Vbd4ivB0UTCkGz26UIAQ2W0Mgxeh/ihHzpDLdtcGqnNE4tFKFFwz7PAw1hMPFMU7Y+zA6mAEq6v3LPogSgbeJPKNCnlwMFGZIqtc+Hobxsq+wj1MYo5m9RVBSBjnNHsPsvffelRiPEIlFhRdEkrGHdT0KLxgICtwfVp6bEBKUAJSjYKPEtBJO8q6GYhSlsWuucVmvEilGLcHQoKILtYW2GCj2lfbS2T1hShH/j7pX8j7ez/1VSql99kILw6NVSD6oyodHBi9NUkI3OW8q8lJHADmIvSEJ3qy6h9JtttlmLVyA9ISxZE2LnbSKIkmj3DLPQgQ9RlKMqoPu08bOLzLvQ7gyneUXRUlybnZqoRjFyS/KlWckxUgkwWu02mqrVXwN8rlBL2rcUNZg2B17WZwcQbvXi1Wms308Kd6ioEJpxmEU1mbOs458Zs8880y2Kzacf/75LRplITR+9tlnLkkQ8sTiJWFMiHKxTUGhdNWB/AbQ9W3M/KJ8lemUX5RbMbLwmnqW6g6Pi1AZs6ZLMRLNSPCei5pflOv9GBPiGEmDBRjyGQGrUaa7EnQOGFl4PpMH1sxEntXwRDaCddeSxnBdotSx0StxXpQKa4i8Cb5MeBDlw16CUoRQhoCm6paN6zHKpRipIl1uxQjFpRre5zilusPjMms2YY/1CscUoppwXwwfPrwkxSjoYYrr7bVnGwZWoq9y9U7i/ps4caLfF5JkSOrUqZMfOyHRKEXNvjc0fUwQD2NiVRG6LERAiFJgDbExoBjJq1F5eFBIeC4NHrR81bPwgiGPUX6CwlA1wugw2JjntRTFyJC3SDS7xwjlP24OD+/n7zCSxr1/zUOMHIECxD2HPMHP5B5hQDIjUvfu3RNlIGzdurXv4YVCSW+vZieyYsQDN+xpaQTPC2NkAbKgWYSWJyJEHFg3J554ol9DN910U8Wr5aQdFM0kPQgaNYwOxTJKX41aKEY85Llf7GEvxailAlJqqW6uJ15W+ruEm7BaGB1NMuNYdXkvn2Vh51KMRLOCR53nN5Xv4sqwvB/FgAbN8803X+xjE06HYkQRA/qBWmGaINzPwV5OSWG99dbLVhptdmKF0u2zzz7Zhy6WqYMPPjjbfCuYf5REWNC4J5U4L0qBzQwLuCWXS4gXSSIp+UX28EfRJWSEkrs8G3iYVsND0miQ+M0Xz89Srgf5B08//fQ0CeU8h1GGqAYIpVT/42+kGIlmhwiiXJWVo9KzZ0//VQp2z1tVO2A/QKbgC8MW+2dS5dTWKVCKIPLVD5fj3mOPPaZ5z1577VWZUQmRMKwPC5uWlCKRNJKSX2QPTx7wCPHvvPOOf03GhP+BtRojSykeIytwhIESLzbWZkLn+AoKW6UUdcCbRalgkGIkROXBS0U4GnsheyT7ojVYFg2oGN12223VHYkQDaAYVaNTvRCVUoyS4DECmmGiGA0ZMsT/X7lj/2ObbbZxQ4cOjd3eAm+QeQZpn4GRBs/T77//7j09fOcLhamU5otBL5MUIyEqD550QtJEskmmv06IhCpGCgcSSYOiC/SfwepI0m4SsHwiK3gjxeh/LLvssv4rLihFeIiwMKMUMd+EBfFViX0pmP8kxUgIkVakGAkRQzGKW95TiFp5i1A+gs0Lk1CAwVDhhfIhXwsWXHDBqoTeEH5HbgOFGMhbEkKINCLFSIgIWPy+PEYiaVh4VRLyiwwpRpWFkDnL/1looYWqcgwUou23397nPyjnQQiRVqQYCREB+gyAcoxE0khafpEVGLB+HyBPa3l8/fXXvjIsXp1cjSErRdy+LkII0Wyko/aeEGWi4gsiqSSpVHewMp15iRDm691bqdGhb0o1vUVCCCH+HylGQhQBS62F0kkxEkmCdZm0wgvhcDoVXigPKs2NHDkym18khBCiSRWjl19+2W255Zb+AcqD/dFHH63ncITIW/XLQoKUYySSwtixY92VV17pf55//vkTU3jBWHTRRf33RRZZpN5DafgwOlMwaeIqhBCiSXOM6L1A2dL99tvPbbfddvUcihB5MW8Rsf0KCRJJUYr69evnQzwJVTvggANc0lhllVW8UhTsjyNKr0anMDohhGhyxWjTTTf1X0IkGRVeEElWio499lj/PWkQBUARBlE6hEmOGjXKX0u8gkIIIapLQ1WlI5zJQpqCzQOFqCbKLxJJEpSDStExxxyTSKVIVLboAvljNHIVQghRXRqq+MIFF1zgy4na1zzzzFPvIYkUoIp0IqlK0ayzzlrvYYkqFn0JNnUVQghRfRpKMTr55JN9Irx9DRs2rN5DEilAipFIilJEWCfhaVKKmp/Ro0f75xwNV+ebb756D0cIIVJBQ4XSkfiu5HdRa6QYiXqCcBxUisgpklLU/Ji3aN5553Xt2rWr93CEECIVNJTHSIh6IMVI1DOc6tprr5VSlMJ5V1NXIYRImceIxnVmFYNvvvnGvffee14AwEomRBKQYiTqBY09v/32W9emTRuFz6WIH3/80bezaNu2rXJphRAiLYrR22+/7dZdd93s/3nww9577+369+9fx5EJ8f9MnDjRjR8/3v8sxUjUGgxFsNhii6m5cIowbxElulGKhRBC1Ia67rjrrLOODxkQIuneog4dOriOHTvWezgiZbz//vv+O42wRTqYOnWqwuiEEKJOKMdIiAg9jLDW02RRiFpWoiOMDqQYpYcffvjB9+ujb9Fcc81V7+EIIUSqkGIkRAFIeofZZ5+93kMRKeODDz7IhlPRt02kA/MWLbDAAq51az2ihRCilmjXFSKix0iIeoTRLbfccvUeiqgRkydPznoJ1dRVCCFqjxQjISJ4jFR4QdSSSZMmuU8//dT/rDC6dOU0/v333z6MTl5qIYSoPVKMhIjgMZJiJGrJRx995L0HrLs55pij3sMRNWLEiBH+O7lFymkUQojaI8VIiAKoh5GoZ5luvEUSkNOnGM0999z1HooQQqQSKUZCFECKkag1U6ZMcUOHDvU/K78oPRBCZ/uNqtEJIUR9kGIkRB4IZRo9erT/WYqRqBVffPGF++OPP1ynTp18ZTKRnnxGehjNOOOMfu6FEELUHilGQuRh1KhRvgExnec7d+5c7+GIlFWjW3rppVWuOUUMHz7cf1d+kRBC1A89dYXIg4W1UKpbAqqoBSjill+kMLr0Fl4QQghRHyTtCRFBMRKiFvzwww9uzJgxrm3btm7xxRev93BEjfjrr7+8hxqkGAkhRP2QYiREEcVI/URErTBv0RJLLOHatWtX7+GIGjFy5EjvLZx55pl9jpEQQoj6IMVIiCI9jOQxErXOL1JT1/TmFwkhhKgfUoyEKFAlClSRTtQCQuiGDRvmE++XWWaZeg9H1NhjBFKMhBCivkgxEqKIx0iKkailt2jBBRdUueYUMWnSpGxbgDnnnLPewxFCiFQjxUiIPKi5q6glqkaX7mp0tATo0KFDvYcjhBCpRoqREDkgEVqKkagVNHT9/PPP/c/KL0oXKtMthBDJQYqREDn49ddf3d9//+1/VvEFUW2GDh3qpk6d6kOppIinUzGae+656z0UIYRIPVKMhMiBeYu6dOnie8oIUYswOnmL0sWECRO8EQaUXySEEPVHipEQOVAYnagVeCY/+ugj/7Pyi9JZjW7WWWd17du3r/dwhBAi9UgxEqKAYqQwOlFtyC2iMhnNPXv06FHv4Ygaov5FQgiRLKQYCZGDH3/80X+Xx0jUsqlr69baktOECi8IIUSy0FNYiBx89dVX/vv8889f76GIJufrr7/23xdffPF6D0XUkPHjx/svGvrOMccc9R6OEEIIKUZC5MZKJy+yyCL1HopoYiZPnpz1Gsw777z1Ho6oITbveKXbtWtX7+EIIYSQYiTEtPz222/ZUDopRqLayfdTpkzxjT27du1a7+GIOuQXqRqdEEIkBylGQoT44osvsn1FZpxxxnoPRzQx33//vf/evXt3H1Il0tNA2irSqX+REEIkBylGQuQJo1t44YXrPRTR5Pzwww/++zzzzFPvoYgae6XpYUSxjdlnn73ewxFCCPEPUoyECKH8IlFrj5Hyi9KZX4RS1KZNm3oPRwghxD9IMRIihBQjUQumTp0qj1FKUZluIYRIJlKMhAjw999/Z8snL7roovUejmhiRo0a5Ru74jFQueZ05RdJMRJCiGQixUiIAChFlFDu1KmThFVRVYYNG5ZNvp9uuunqPRxRI8aOHesVYuZcDaSFECJZSDESIkdFOsLoVCVM1CK/SGF06cK8RZTplkIshBDJQlmfQgT47LPP/HflF4laeYxUeKH5oQIdvdF++ukn98033/jXFEYnhBDJQ4qREAFUeEHUWjGSx6j5GDNmjO9TZMrQ77//3uL3lOnu0aNH3cYnhBAiN1KMhAgkRUsxErXqYzNu3DgfrklzV9E8DB061L322mstXmOeu3Tp4stzk7uIt6hDhw51G6MQQojcSDES4h+w7o4fP95XCVtggQXqPRyRAm8RgnK7du3qPRxRQeMKipHNLUov3ymyoHkWQojkI8VIiFB+EUpR27Zt6z0c0cSo8ELzGlfwBLJ/bLbZZtpHhBCiwVBVOiFyVKQTopoov6g5kXFFCCEaGylGQvyD5RctvPDC9R6KaHJUka75UHNoIYRofKQYCRFSjCTUiGoyceJE98svv/if5TFqvubQM888s88rEkII0XhIMRLCOV90Yfjw4f5neYxENfnhhx/8986dO7sZZ5yx3sMRVeiBpubQQgjRmEgxEiKQX0QpXSy+QlQL5Rc1H7/++qsvvIBCpBxFIYRoXKQYCaHGrqKGqCJd8+4flOfu2LFjvYcjhBCiRKQYCaH8IlFDVHihuZg6dWrW46z9QwghGhspRkKoIp2oYeWyESNG+J/lMWoOyE2cMGGCa9++vevRo0e9hyOEEKIMpBiJ1EMlqa+++sr/rFA6UU1GjhzpPQwdOnRwXbp0qfdwRAWLLiy00EJuuummq/dwhBBClIEUI5F6vv32W2/JJzdgrrnmqvdwREryi1S5rPGZNGmS3z9AYXRCCNH4SDESqSdYZrd1a90SonqoIl1z8eWXX3oPYNeuXd2ss85a7+EIIYQoE0mBIvVY4rTC6ES1kWLUnEYVeYuEEKI5kGIkUo9KdYtagGfBmruqIl3jM2rUKDd69GjvZSa/SAghROMjxUikmkwm0yKUTohq8csvv7g///zTtW3b1s0+++z1Ho6okEGFSnTTTz99vYcjhBCiAkgxEqnm559/dr/99puvJrXAAgvUezgiBYUX5p57blUva3CmTJmi3kVCCNGEJEIxuuaaa9x8883nrW6rrLKKe+utt+o9JJEyqy/rjz4kQlQLNXZtHr777jvv/aPsevfu3es9HCGEEBWijasz999/vzvmmGPc9ddf75Wiyy+/3G288cY+vGm22WZzjRKORf6AaDyw+rZr184tvvji3gosRDUbgbZp08YL0lprjQ3PJ3KLCL9l/9d8CiGE8/tio7eiaJVhV68jKEMrrbSSu/rqq/3/UTCo2HTEEUe4k046qcV7sdDxZYwbN86/l1ComWaaydULHorvvfde3Y4vhBBCCCFEPVluueXqHiqObjDzzDOXrBvUNZTur7/+cu+8847bYIMN/jeg1q39/19//fVp3n/BBRf4k7UvlbwVQgghhBBCNHwoHeVO8baEKzTx/08//XSa95988sk+7C7sMao3KHNjx471VadEsrrSv/LKK27y5Mm+chQKd9CSgWLev39///Oee+7pZphhhjqOVjQyWKYGDRrkPd7kqxEOHFxr5KQMGDDAdenSxe2yyy51HasoH0JFunXr5isMCiGE+J883OjUPccoDiTHJzFBnodk0OslksNSSy3levfu7T7++GOvKOF1JM8DCH/kdXLZNtxww3oPVTQ4KN/kSg4ZMsT98ccf7tBDD82Wcf7www+98WThhRdW8QUhhBAiodRVtZt11lm9VfWnn35q8Tr/n2OOOeo2LtE8kL926aWXesvuiy++6E4//XTvQQI1dhWVVsKPPPJIrwyRnE8hmQkTJvjfqSKdEEIIkXzqqhhRDWyFFVZwzz//fPY1QlH4/2qrrVbPoYkmYtVVV3UXX3yx9xQ9++yz7qyzzvIhnFKMRKVhLR199NGuY8eO7ptvvnH9+vXzIb+mGCUh9FcIIYQQual7MCA5QzfddJO7/fbb3SeffOIOOeQQb2Xdd9996z000USsueaarm/fvt5D+fTTT7tzzz3XW/VBipGoJOQYHXvssb4azg8//OCVcvIpQYqREEIIkVzqrhjtvPPO7pJLLnFnnHGGL/NH3sfAgQOnKcggRLmss8467rzzzvPK0RNPPOEVcVDnelFp5p57bnf88ce7rl27up9//tm/RuEFPElCCCGESCZ1V4zg8MMPz3YSf/PNN31vIyGqAUUyCKWzyil0rkeIFaLSUNTjuOOOyxp5KM4ghBBCiOTSUFXphKgEm2yyiS/AcPbZZ7uVV165KcpLimSClwjl6OWXX/aFQIQQQgiRXFplMpmMa1DK7W4r0g15H6wf9SIRQgghhGh8ytUN5DESqYVy8UIIIYQQQoBiiIQQQgghhBCpR4qREEIIIYQQIvVIMRJCCCGEEEKkHilGQgghhBBCiNQjxUgIIYQQQgiReqQYCSGEEEIIIVKPFCMhhBBCCCFE6pFiJIQQQgghhEg9UoyEEEIIIYQQqUeKkRBCCCGEECL1tHENTCaT8d/HjRtX76EIIYQQQggh6ojpBKYjpEoxGj9+vP8+zzzz1HsoQgghhBBCiIToCDPPPHPsv2uVKVWlSgBTp051I0aMcJ06dXKtWrWqu4aKgjZs2DA300wz1XUsIhqaM2FoLTQemrN0ofluLDRfol7rAbUGpWiuueZyrVu3TpfHiBPu3r27SxJMuDaBxkJzJgythcZDc5YuNN+NheZL1GM9lOIpMlR8QQghhBBCCJF6pBgJIYQQQgghUo8UowrRvn1716dPH/9dNAaaM2FoLTQemrN0ofluLDRfolHXQ0MXXxBCCCGEEEKISiCPkRBCCCGEECL1SDESQgghhBBCpB4pRkIIIYQQQojUI8VICCGEEEIIkXqkGAkhhBBCCCFSjxQjIYQQQgghROqRYtQgqKp64/Dzzz/XewgiYej+bRxGjBjhRo0aVe9hiBqi+7Ox0DNWVPP+lWKUcH7//Xf3999/u1atWmnzbgCGDBni5phjDvfyyy/XeygiAYwdO9ZNnDhR928D3b/du3d3b731Vr2HImqAnq+Nh56xotrPVylGCeaTTz5x2267rbv//vvdX3/9pc074bz//vuuV69e7uijj3Zrr712vYcjEnD/brTRRu7iiy92f/zxh+7fBrh/uW+5fzfbbLN6D0dUGT1fGw89Y0Utnq9tKvIpouJ89913bvvtt3dfffWVt2pNP/30bquttnLt2rXzk88iEMlh6NChbvXVV3fHHHOMO+ecc/wcffnllz4sZ5FFFnFzzjlnvYcoasj333/vdt11V/fjjz+6Z555xs0wwwzusMMOcx06dND9m9D7d80113SHH364u+CCC9zUqVPdO++844YPH+7mnXde17Nnz3oPUVQQPV8bDz1jRa2er/IYJZApU6a4hx9+2C200EI+pGOWWWZx559/vnv88cdl2Uogf/75pzvttNO8S5cNG7bYYgu38847u3XXXddtueWWrnfv3vUepqgR3JtPP/20D/cYMGCAW2aZZdyDDz7orrnmmqxlC8FbJAPmom/fvm7ChAnulFNO8a9tsskm7tBDD3U77LCD23PPPb1nQTQHer42HnrGilo+X1tltAMkkvfee89bQ3gwM8mbb765++mnn/yDm02gffv2smwlBOZh8ODBbt9993Uzzjijm2mmmbwF46ijjvI370MPPeQeeeQRt91227kzzjij3sMVNWDkyJHujTfeyArUhxxyiPdA7Ljjjl7g7tixo+7fBEGxhW222cb98ssvrlu3bq5Lly7+XuX7oEGDvOK06qqrultuuaXeQxUVQM/XxkLPWFHT5yuKkUgef/31V4v///nnn5lNNtkks/zyy2cefPDB7O8fffTROo1QwNSpU7M/v/vuu5llllkm07Nnz8ywYcOyr//xxx+ZPffcM7P++uv7eRTNz5QpU1r8/++//84cfPDBmZVWWilz0UUXZSZMmOBfv+222+o0QhG+f0ePHp1Ze+21M0sssUTm22+/bTF3ffr0ySy33HKZX375pU4jFZVEz9fGQc9YUevnq3KMEmSxHDZsmI+RnG222Vznzp29Jat169Zu8uTJPvb50Ucf9VZN3P6EA7z44ove/b/SSiu5ueaaq96nkCqoZNS2bVv/s1kmlltuOXfnnXd6awZWLGCesGwtuuii7qOPPlIIVZPCnH/22WeuTZs2PkTH5h+4f3n9yiuvdEceeaR3+7MOvv76a++BIBSkR48edR1/GkNz8AoE71+8Q1idCa+yfAXmibljf+Vv7J4XjYWer42HnrGibs/XktQpUVHef//9zCKLLJJZcMEFM927d8+ssMIKmddff30ajRiwhmy22WaZtm3bZjp27Jh555136jTq9PLpp59mdttttxbX3qxaWDLC1gzYd999M/vss092HkVz3b89evTILLTQQpm55porM8ccc2QeeuihFpZLm3ezbLVv3z4z00wzeQuoqC0ff/xxZs0118y8+OKL2Xs3aJXOxaGHHprZfvvtMxMnTqzRKEWl0PO18dAzVtTz+SrFqM6MHDkyM++882ZOOOGEzGeffZZ55JFHMrvssovfmO+9994W7508ebL/fsghh2S6dOmSGTp0aJ1GnV6++uqrzDzzzJOZZZZZMttuu22LGy+XcEV4zsknn5zp1q1b5qOPPqrxaEW1+fnnn73QdeKJJ2ZGjBiRefvttzNHH310Zrrppsv07ds3M27cuGnuX4Tszp076/6tA998841/wHbt2tWH47z00kv+9XyKEeE6zC3v//DDD2s8WlEuer42HnrGino/X6UY1ZkhQ4ZkllpqKf/ADsbLHnfccZl27dplnnzySf+aWUiuueaaTKtWrWRprgPMCxapHXbYwc8D8cxbbrll3rkYOHBgZu+99/ZWSs1Xc/L1119nFl10Ub9hB7nsssv8fXrVVVe1uH9vvfVW3b91YtKkSZnDDz88s91223mheKeddvL5CvmUo1deeSXzr3/9y1sr2adF46Hna2OhZ6xIwvNVilGd4aHMRLIAghPMQ/qwww7z7sDPP/88+/5Ro0Z5i4qoD/fdd1/mxhtv9D8//PDDBTdurJU333xzdm5F8/Hee+95AWvw4MHTJHVfcMEFmTZt2kyzqQeFNFFbnnrqqez9SzjVjjvu2EI5CjJmzJjM448/nvnuu+/qMFJRCfR8bTz0jBX1fr6qXHedIXFwvfXW88m+1157rU8AtqRQmgvutttubv3113enn366T0DkdZEcKBN6/fXX+6Tes88+2yeHkqQ9evRon7Brcymal6233tqX+iVRm8RukkGnm246/zuaRnJP33zzzf7+JclbJAdKcZO0++mnn/rvvXr18vcvpZyXXHLJeg9PlImer42PnrHpZus6PF+1muoME0yTsm+//dY/mMeNG5e9yeeee25fs5+HNhVZdPMn64EL9ME46KCDfGMx+ifQa+Hoo492K664ot+81Qej+WH+qZ50/PHH++pXVMixKkpUz+E1fi+lKDlY5ao11ljDVzJabLHF/Pfnn3/ezyPC8vjx4+s9TFEmer42LnrGino9X1Wuu47Y5NKc6quvvnKPPfaY7+x86qmn+gZm0LVrV19alE2CjVubQDLmjAeulROlqRiv3XjjjW7TTTf1c/XMM89kywGL5oY55/694447/L189dVXu9lnn93/jnt2lllmcX/99ZdfK7p/k3H/Mi92/6IcwVVXXeU23nhj16lTJ3//8l00Lnq+NiZ6xop6P18VSldHuLm5+c0VfM4557gBAwa4X3/91bsI6bvw5JNP+g6/CutIznz99ttvbuaZZ/avBbsrY2V+99133SuvvOKWWmqpOo9W1Go9TJo0yU0//fS+vwYufXppbLbZZn6dvPDCC+61115zSy+9dL2Hm3psvsaMGePDL8L375ZbbuleffVV/6X9tnH7Uhl6vjbunOkZK6bU8fkq33ENYAP+/PPPc076d9995yf1pZde8nHOF154odtoo43chx9+6DeN119/XZt2wuZr7bXX9g9UYMMm5vWEE07wmzXzqA27uaBRHLko+dYDzeP+/e9/uz333NPddtttrnfv3v498803n3vzzTelFCVsvrg/77777uz9y+8uuOAC/5Clqaf228aCxo+EWLEPG3q+Nvac6RmbHv766y8fJhnE8ojq9nwtu3yDKAiVVGabbTbfkCrMt99+m5l77rkzBx100DRNyaiak6uJmUjGfIVL+1JJhwoqovmay80555yZAw44wPdUCEK1MhrO0VBOTQUba77C9+/TTz/tG7+Kxpvv6aef3leeYw6D6Pna2HOmZ2zz8/HHH/tGviuvvLLflz/44IPs777//vu6PV8VSldF3n//fR+/fuCBB7p+/fq1+B2Xfb/99vOJZMTNmqs46DYWtUXzJYJ88803bvXVV/eWqr59+06TnH3mmWf6sKwrrrhC66FB50s09n692mqruX333dcnYOMBuuGGG/x35p79mrwDKprp/kwGmjNhEBKHZ5Cqc3h/rrvuOrfrrrtmZS9yAX///Xd3+eWX13wtSDGqElS6WWGFFbzb77zzzvOuQWIhx44d62addVYvgPMagraoP5ovEYZkT0qEUi6Wub/ssst8iCXVrMhHYb2AHtzJQPOVHsgzWWeddXwlwXPPPdcLU+QQ8fr888/v32OJ+yIZaM6EQcXPbbfd1vXs2dNddNFF/jUUZEJbKa5AtUijHvu1coyqFDN50kkn+cndZptt/Gvbbbed3xDwRqy77rru8MMP90mgov5ovkQueGCTIAwbbLCBe/TRR/2Gfu+997ojjjjCew5BQnYy0HylA/bhNddc0+/NCNhw2GGHuQUWWMAL2v80rpeAnSA0ZyIMpfNpk2CQ9zdkyBDfp2r77bf3ilK99mspRlWAeuqnnXaan2ASDBdffHFvCbn11lvdW2+95R5++GH/kCakQ9QfzZfIxTLLLONDPO677z7/wCYBlJ9J0F9ooYW8Z4LQLJEMNF/pgPK8ePMvueQS/38Eajz5FFV4++23feNPhCkFwyQHzZkIQrEFonFYE0899ZTr06ePL6xwwAEHuLPOOsvNMMMM7p577nHvvfeeqws1zWhKGYMHD86svvrqmQ033DDzzTfftPjdFVdckenWrVtm+PDh0yQZivqg+RJBXnvttUz79u0zK6ywQmaHHXaYJmmU5OHnnnuubuMTLdF8pQvbh+37iBEjMh07dsycf/75dR6ZyIfmTBhPPfVUZqGFFspss802mdlnnz1zzz33ZH/31VdfZTp06JC55ZZbMvVACRMVLPH8ySefuF9++cWHcVCDn87MuAMpTdm9e/cW8ZJ8zTnnnL7BnEI7ao/mS+RbDxtuuKFv7kmS8KWXXupDKlkHJPdbLPxss83mVl11VW8JFbVH85Xu+WYe8fRbiWe+sz8TqkWvoj322MPNM8889R52qtGciXzyFg2WadxKWwW8/LxGWW6g7xh53csvv3y2l1XNqYs61oTlJ9F4e/bsmWnXrl1mySWXzBx77LGZ0aNH+9//9ddf0/zNUUcd5a2aEyZMqMOI043mSxRbD8cdd1xmzJgx/vfnnHOO9zbsv//+mVdffdWXgT7ttNMy888/v7d4itqi+UoXueb7+OOPz4wdO9b/fvLkydn3Uv65U6dOmSeeeKKOIxaaMxFV3mJPXmCBBTK33XZbVv7q06dPZp555vEtFuqBFKMy+fXXX/2E20RPnDgxc/LJJ/uQrK233jo7+cbXX3+dOf300zOzzDJLZujQoXUbd1rRfImo6wEXvwnbt956q++PM8ccc2SWWGKJzLzzzut7XonaovlKF1H366CgvdFGG2V69erl+xQp7Ln2aM5E1LXwyy+/+Pedd9553pi1yiqrZNZZZx3fy6qe+7UUozIhFwVt96WXXsq+9ueff/oH82qrrZbZfffdM+PGjfOvf/jhh5mtttoqM99882WGDBlSx1GnF82XiLoe2KRZD7/99ltWSR40aFDmxRdf9LlmovZovtJFnP3aGrY+/PDDmS+//LJuY047mjMRdS3Q3NXWwkMPPeSbuV544YWZL774IlNPVJWuTCjx3KFDB19qEFA2iaPde++9fcwscZWUjYUFF1zQHXXUUe6FF17wFdBE7dF8iajrYa+99mqxHshXoYEovTjmmmuuOo88nWi+0kWc/doqmtFqgb1b1AfNmShlLVCimyavJ5xwgq8iWk/U4LVMKOtMt96RI0f68oKWQGZsvPHGviwlyYWi/mi+RNz1QOnnJ598sm5jFP9D85UuNN+Nh+ZMNLq8JY9RGVhDsmuvvdZ99dVXvhrSzz//3KIWPx3XqdE/adKkuo5VaL5Eaeth1KhRWg8JQPOVLjTfjYfmTDSDvCXFqAwo2/zXX3/5UrADBw50b775pncP0rCMUpRAgypKPLdurUtdbzRfIojWQ2Oh+UoXmu/GQ3MmmmEtKJSuDKwePxovC2DixIm+NjtxlZMnT3YLLLCAe/75592rr77qu7KL+qL5EkG0HhoLzVe60Hw3Hpoz0QxrIVlqWgNO+rfffusnlQlmogcPHux69+7tG5qttNJK/v9Jm/Q0ovkSQbQeGgvNV7rQfDcemjPRLGtBHqMi/PTTT+63335ziyyyyDS/++GHH9zSSy/tdtxxR3fDDTf42MmkuQTThuZLBNF6aCw0X+lC8914aM5Es6+FxhhlnaCU4Morr+xOP/1099FHH03ze2Il999/fz/pxFM2yqQ3K5ovEUTrobHQfKULzXfjoTkTaVgL8hjlYcSIEV7TnTBhgmvfvr3XfHEBLrXUUi1KEVJ1Q9QfzZcIovXQWGi+0oXmu/HQnIm0rIXGUeFqzKeffuo6derkbr/9dnfooYe6IUOGuMsvv9wNHTo0+55GnfRmRPMlgmg9NBaar3Sh+W48NGciNWsBj5GYlokTJ2Zee+217P9vvfXWTM+ePTP7779/5oMPPsi+PnXqVP99ypQpdRmn+H80XyKI1kNjoflKF5rvxkNzJtKyFqQYFcAm1ejfv3928j/88EP/2llnnZV5//336zRCEUTzJYJoPTQWmq90ofluPDRnIg1rQTlGgZjJd99919db79Gjh1thhRX86/8oj9nEMVyHV155pevZs6cbN26ce+ihh9yHH37ollhiiTqfQbrQfIkgWg+NheYrXWi+Gw/NmUjtWqi3ZpYEcP0tsMACmZVXXjkz66yzZlZcccXMgw8+2OI9QVfgLbfckmnbtm1m5plnzgwZMqQOI043mi8RROuhsdB8pQvNd+OhORNpXgupL77w1Vdfuc0228ztsMMO7j//+Y8bOHCgW3LJJd3TTz/tm1SZQw2NmJ957f333/fdewcNGuSWW265ep9CqtB8iSBaD42F5itdaL4bD82ZcGlfC5kU8+eff2aOOeaYzE477eR/Dmq8Xbt2zYwaNWqav3nrrbcyrVq1ygwePLjGoxWaLxFE66Gx0HylC81346E5E0aa10Ibl2KmTp3qunfv7hZffHHXrl07r/HSiGr11Vf3Gi912MOstNJKbsyYMW6WWWapy5jTjOZLBNF6aCw0X+lC8914aM6Ekea1kGrFaPrpp3fbbLONm3/++Vu8zqRSgz048dRpX3755f3PM888c83HKjRfoiVaD42F5itdaL4bD82ZMNK8FlKXYzRy5Ej31ltv+VhJNGKbdGIj0Ybht99+c2PHjs3+zRlnnOHWX399N3r06KzWLGqD5ksE0XpoLDRf6ULz3XhozoShtfAPmRRBPfUePXpkFllkEV8xY7HFFsvcc889mdGjR7eoy/7ZZ59lunXrlhkzZkzmnHPOycwwwwyZt99+u86jTx+aLxFE66Gx0HylC81346E5E4bWwv9IjWL0888/+4k+5ZRTMl999VVm+PDhmZ133jmz+OKLZ/r06eN/b/z000+Z5Zdf3v++Xbt2TTfpjYDmSwTRemgsNF/pQvPdeGjOhKG1kFLF6KOPPsrMN99800ziiSeemFl66aUzF110UWbChAn+tY8//thX1kATbtQ67I2O5ksE0XpoLDRf6ULz3XhozoShtdCS1OQYkSg2efJk98cff/j/T5w40X/v27evW3fddd11113nvvzyS/9a586d3aGHHuo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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } - }, + ], + "source": [ + "formula = \"downloads ~ treated:post:C(cohort):C(date) + C(city) + C(date)\"\n", + "\n", + "twfe_model = smf.ols(formula, data=mkt_data_cohorts_w.astype({\"date\":str, \"cohort\": str})).fit()\n", + "\n", + "effects = (twfe_model.params[twfe_model.params.index.str.contains(\"treated\")]\n", + " .reset_index()\n", + " .rename(columns={0:\"param\"})\n", + " .assign(cohort=lambda d: d[\"index\"].str.extract(r'C\\(cohort\\)\\[(.*)\\]:'))\n", + " .assign(date=lambda d: d[\"index\"].str.extract(r':C\\(date\\)\\[(.*)\\]'))\n", + " .assign(date=lambda d: pd.to_datetime(d[\"date\"]), cohort=lambda d: pd.to_datetime(d[\"cohort\"])))\n", + "\n", + "plt.figure(figsize=(10,4))\n", + "sns.lineplot(data=effects, x=\"date\", y=\"param\", hue=\"cohort\", palette=\"gray\")\n", + "plt.xticks(rotation=45)\n", + "plt.ylabel(\"Estimated Effect\")\n", + "plt.legend(fontsize=12)\n", + "\n", + "df_pred = (\n", + " mkt_data_cohorts_w\n", + " .query(\"post==1 & treated==1\")\n", + " .assign(date=lambda d: d['date'].astype(str)) # Convert to string\n", + " .assign(y_hat_0=lambda d: twfe_model.predict(d.assign(treated=0)))\n", + " .assign(effect_hat=lambda d: d[\"downloads\"] - d[\"y_hat_0\"])\n", + ")\n", + "\n", + "print(\"Number of param.:\", len(twfe_model.params))\n", + "print(\"True Effect: \", df_pred[\"tau\"].mean())\n", + "print(\"Pred. Effect: \", df_pred[\"effect_hat\"].mean())" + ] + }, + { + "cell_type": "markdown", + "id": "592fbe8f", + "metadata": {}, + "source": [ + "2. 여러 개의 2x2 DiD으로 나누고 각각을 개별적으로 계산한 후 결과 합치기" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "id": "52a175d3", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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att_gsize
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" + ], + "text/plain": [ + " att_g size\n", + "0 3.455535 702\n", + "1 1.659068 1044\n", + "2 1.573687 420" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "cohorts = sorted(mkt_data_cohorts_w[\"cohort\"].unique())\n", + "\n", + "treated_G = cohorts[:-1]\n", + "nvr_treated = cohorts[-1]\n", + "\n", + "def did_g_vs_nvr_treated(df: pd.DataFrame,\n", + " cohort: str,\n", + " nvr_treated: str,\n", + " cohort_col: str = \"cohort\",\n", + " date_col: str = \"date\",\n", + " y_col: str = \"downloads\"):\n", + " did_g = (\n", + " df\n", + " .loc[lambda d:(d[cohort_col] == cohort)|\n", + " (d[cohort_col] == nvr_treated)]\n", + " .assign(treated = lambda d: (d[cohort_col] == cohort)*1)\n", + " .assign(post = lambda d:(pd.to_datetime(d[date_col])>=cohort)*1)\n", + " )\n", + " \n", + " att_g = smf.ols(f\"{y_col} ~ treated*post\",\n", + " data=did_g).fit().params[\"treated:post\"]\n", + " size = len(did_g.query(\"treated==1 & post==1\"))\n", + " return {\"att_g\": att_g, \"size\": size}\n", + "\n", + "\n", + "atts = pd.DataFrame(\n", + " [did_g_vs_nvr_treated(mkt_data_cohorts_w, cohort, nvr_treated)\n", + " for cohort in treated_G]\n", + ")\n", + " \n", + "atts" + ] + }, + { + "cell_type": "markdown", + "id": "c215e86f", + "metadata": {}, + "source": [ + "결과" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "be7c4203", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "np.float64(2.2247467740558933)" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(atts[\"att_g\"]*atts[\"size\"]).sum()/atts[\"size\"].sum()" + ] + }, + { + "cell_type": "markdown", + "id": "c77a19af", + "metadata": {}, + "source": [ + "3. 공변량 추가하기\n", + "\n", + "위 두 가지 방법을 통해 TWFE의 편향문제를 해결했습니다. 이제 공변량으로 시간과 지역이 상호작용하는 항을 추가한 후 여러 매개변수의 개별 효과를 평균낸 후 ATT를 구하도록 하겠습니다. " + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "id": "8642b6f0", + "metadata": {}, "outputs": [], "source": [ - "import pandas as pd\n", + "formula = \"\"\"\n", + "downloads ~ treated:post:C(cohort):C(date)\n", + "+ C(date):C(region) + C(city) + C(date)\"\"\"\n", + "\n", + "twfe_model = smf.ols(formula, data=mkt_data_cohorts).fit()" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "id": "13068037", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Number of param.: 935\n", + "True Effect: 2.078397729895905\n", + "Pred. Effect: 2.0435092760332583\n" + ] + } + ], + "source": [ + "df_pred = (\n", + " mkt_data_cohorts\n", + " .query(\"post==1 & treated==1\")\n", + " .assign(y_hat_0=lambda d: twfe_model.predict(d.assign(treated=0)))\n", + " .assign(effect_hat=lambda d: d[\"downloads\"] - d[\"y_hat_0\"])\n", + ")\n", + "\n", + "print(\"Number of param.:\", len(twfe_model.params))\n", + "print(\"True Effect: \", df_pred[\"tau\"].mean())\n", + "print(\"Pred. Effect: \", df_pred[\"effect_hat\"].mean())" + ] + }, + { + "cell_type": "markdown", + "id": "d63adcd3", + "metadata": {}, + "source": [ + "#### 3.7 DDD(Triple Difference,Difference-in-Difference-in-Differences)\n", + "예) $Y_{itd} = \\alpha + \\delta_1 \\text{Treated}_i +\t\\delta_2 \\text{Post}_t +\t\\delta_3 \\text{Region}_d+\\delta_4 (\\text{Treated}_i \\times \\text{Post}_t)+\\delta_5 (\\text{Treated}_i \\times \\text{Region}_d)\n", + "\\\\\t+\\delta_6 (\\text{Post}_t \\times \\text{Region}_d)\n", + "\t+\\color{blue}{\\beta (\\text{Treated}_i \\times \\text{Post}_t \\times \\text{Region}_d)} + \\varepsilon_{itd}$\n", + "\n", + "DID는 처치 전후 변화의 차이를 비교합니다. 즉 (처치그룹 변화) − (비처치그룹 변화)를 나타냅니다. DDD는 여기에 차분을 한번 더 추가하여 지역 또는 집단 차이를 봅니다. \n", + "\n", + "즉 기존 DID로 추정한 **정책 효과(처치 효과)** 가 지역이나 집단에 따라 얼마나 다르게 나타나는지(이질적 효과, heterogeneous effect) 를 추가적으로 식별합니다." + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "id": "beeebf9b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " OLS Regression Results \n", + "==============================================================================\n", + "Dep. Variable: downloads R-squared: 0.960\n", + "Model: OLS Adj. R-squared: 0.959\n", + "Method: Least Squares F-statistic: 1853.\n", + "Date: Sat, 18 Oct 2025 Prob (F-statistic): 1.10e-204\n", + "Time: 21:56:37 Log-Likelihood: -14902.\n", + "No. Observations: 6400 AIC: 2.984e+04\n", + "Df Residuals: 6384 BIC: 2.995e+04\n", + "Df Model: 15 \n", + "Covariance Type: cluster \n", + "===============================================================================================\n", + " coef std err z P>|z| [0.025 0.975]\n", + "-----------------------------------------------------------------------------------------------\n", + "Intercept 17.2758 0.381 45.381 0.000 16.530 18.022\n", + "C(region)[T.N] 26.6759 0.551 48.414 0.000 25.596 27.756\n", + "C(region)[T.S] 33.0592 0.451 73.224 0.000 32.174 33.944\n", + "C(region)[T.W] 10.6681 0.479 22.267 0.000 9.729 11.607\n", + "treated 0.3099 0.593 0.523 0.601 -0.852 1.472\n", + "treated:C(region)[T.N] -1.7759 0.970 -1.831 0.067 -3.677 0.126\n", + "treated:C(region)[T.S] 0.2995 0.913 0.328 0.743 -1.490 2.089\n", + "treated:C(region)[T.W] 0.4208 1.157 0.364 0.716 -1.846 2.688\n", + "post 4.9819 0.044 113.583 0.000 4.896 5.068\n", + "post:C(region)[T.N] -3.2730 0.064 -51.271 0.000 -3.398 -3.148\n", + "post:C(region)[T.S] -4.7601 0.066 -72.092 0.000 -4.889 -4.631\n", + "post:C(region)[T.W] -1.7829 0.064 -27.806 0.000 -1.909 -1.657\n", + "treated:post 1.6768 0.270 6.217 0.000 1.148 2.205\n", + "treated:post:C(region)[T.N] -0.3437 0.426 -0.806 0.420 -1.179 0.492\n", + "treated:post:C(region)[T.S] -0.9851 0.333 -2.957 0.003 -1.638 -0.332\n", + "treated:post:C(region)[T.W] 1.3694 0.717 1.911 0.056 -0.035 2.774\n", + "==============================================================================\n", + "Omnibus: 24.370 Durbin-Watson: 0.414\n", + "Prob(Omnibus): 0.000 Jarque-Bera (JB): 31.120\n", + "Skew: 0.050 Prob(JB): 1.75e-07\n", + "Kurtosis: 3.326 Cond. No. 32.1\n", + "==============================================================================\n", + "\n", + "Notes:\n", + "[1] Standard Errors are robust to cluster correlation (cluster)\n", + "treated:post:C(region)[T.N] : -0.34366747700080125\n", + "treated:post:C(region)[T.S] : -0.9850718065003734\n", + "treated:post:C(region)[T.W] : 1.369362559838598\n" + ] + } + ], + "source": [ + "import statsmodels.formula.api as smf\n", + "\n", + "# Triple Difference 모형\n", + "formula = \"downloads ~ treated * post * C(region)\"\n", + "\n", + "ddd_model = smf.ols(formula, data=mkt_data_all).fit(\n", + " cov_type=\"cluster\", cov_kwds={\"groups\": mkt_data_all[\"city\"]}\n", + ")\n", + "\n", + "print(ddd_model.summary())\n", + "\n", + "# Triple Difference 추정치 (핵심 효과)\n", + "ddd_term = [p for p in ddd_model.params.index if \"treated:post:C(region)\" in p]\n", + "for term in ddd_term:\n", + " print(term, \":\", ddd_model.params[term])" + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "id": "43e7548a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "effects = pd.DataFrame({\n", + " \"Region\": [\"Baseline\", \"N\", \"S\", \"W\"],\n", + " \"ATT\": [1.68, 1.34, 0.70, 3.05]\n", + "})\n", + "\n", + "plt.figure(figsize=(6,4))\n", + "plt.bar(effects[\"Region\"], effects[\"ATT\"], color=[\"gray\",\"skyblue\",\"salmon\",\"lightgreen\"])\n", + "plt.title(\"Region-specific Policy Effects (DDD)\")\n", + "plt.ylabel(\"Estimated ATT\")\n", + "plt.axhline(0, color='black', linestyle='--')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "8ba4cb99", + "metadata": {}, + "source": [ + "분석 결과 정책 시행 이후 baseline 지역에서는 downloads가 평균 1.68 증가하였습니다. \n", + "\n", + "그러나 지역별로 효과는 상이하게 나타났으며,\n", + "S 지역에서는 효과가 0.98 감소(유의), W 지역에서는 1.37 증가(한계적 유의) 하였습니다.\n", + "\n", + "이는 정책 효과가 지역적 특성에 따라 다르게 나타난다는 점을 보여줍니다." + ] + }, + { + "cell_type": "markdown", + "id": "b5e2e215", + "metadata": {}, + "source": [ + "#### 3.8 Dynamic DiD - Event study\n", + "\n", + "예) $Y_{it} = \\alpha_i + \\gamma_t + \\beta_t \\, (\\text{Treated}_i \\times \\text{Post}_{it}) + \\varepsilon_{it}$\n", + "\n", + "**Event Study(이벤트 스터디)** 는 처치가 발생한 시점을 기준으로 시간 축(event time)을 설정해, 처치 전후의 효과를 시점별로 추정하는 방법입니다. \n", + "\n", + "일반적으로 처치 시점을 0으로 두고, 그 이전은 –1, –2, 이후는 +1, +2와 같이 표현합니다. 각 시점별로 처치군과 대조군의 차이를 계산해 시점별 효과(βₜ)를 추정하며, 이를 통해 처치 이후 효과가 시간에 따라 커지거나 작아지는지, 혹은 처치 이전부터 이미 차이가 존재했는지를 확인할 수 있습니다.\n", + "\n", + "이 방법은 세 가지 측면에서 중요합니다. \n", + "\n", + "첫째, 처치 이전 구간의 계수 βₜ가 0에 가깝다면 평행추세(Parallel Trends) 가정이 충족됨을 의미합니다. \n", + "\n", + "둘째, 처치 이후 구간의 βₜ를 통해 **동적 효과(Dynamic Treatment Effect)** 를 확인할 수 있습니다. \n", + "\n", + "셋째, **정책이나 프로그램의 시차 효과(lag effect)** 를 평가할 수 있어 단기적·장기적 처치 효과를 함께 분석할 수 있습니다." + ] + }, + { + "cell_type": "code", + "execution_count": 172, + "id": "ac19a640", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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attci_lowci_up
2021-05-020.325397-0.4917411.142534
2021-05-030.384921-0.3883891.158231
2021-05-04-0.156085-1.2474910.935321
2021-05-05-0.299603-0.9499350.350729
2021-05-060.3476190.0131150.682123
\n", + "
" + ], + "text/plain": [ + " att ci_low ci_up\n", + "2021-05-02 0.325397 -0.491741 1.142534\n", + "2021-05-03 0.384921 -0.388389 1.158231\n", + "2021-05-04 -0.156085 -1.247491 0.935321\n", + "2021-05-05 -0.299603 -0.949935 0.350729\n", + "2021-05-06 0.347619 0.013115 0.682123" + ] + }, + "execution_count": 172, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def did_date(df, date):\n", + " df_date = (df\n", + " .query(\"date==@date | post==0\")\n", + " .query(\"date <= @date\")\n", + " .assign(post = lambda d: (d[\"date\"]==date).astype(int)))\n", + " \n", + " m = smf.ols(\n", + " 'downloads ~ I(treated*post) + C(city) + C(date)', data=df_date\n", + " ).fit(cov_type='cluster', cov_kwds={'groups': df_date['city']})\n", + " \n", + " att = m.params[\"I(treated * post)\"]\n", + " ci = m.conf_int().loc[\"I(treated * post)\"]\n", + " \n", + " return pd.DataFrame({\"att\": att, \"ci_low\": ci[0], \"ci_up\": ci[1]},\n", + " index=[date])\n", + "\n", + "\n", + "\n", + "\n", + "post_dates = sorted(mkt_data[\"date\"].unique())[1:]\n", + "\n", + "atts = pd.concat([did_date(mkt_data, date)\n", + " for date in post_dates])\n", + "\n", + "atts.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "id": "9e6679d1", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=== Pre-treatment periods (2021-05-01 ~ 2021-05-14) ===\n", + " rel_time att ci_low ci_up se pvalue\n", + "0 -14 0.317460 -0.445648 1.080569 0.389348 0.414864\n", + "1 -13 0.642857 -0.005605 1.291320 0.330854 0.052014\n", + "2 -12 0.865079 -0.025911 1.756070 0.454595 0.057045\n", + "3 -11 0.452381 -0.329286 1.234048 0.398817 0.256666\n", + "4 -10 0.269841 -0.642655 1.182337 0.465568 0.562187\n", + "5 -9 0.857143 0.296929 1.417357 0.285829 0.002710\n", + "6 -8 0.317460 -0.647464 1.282385 0.492317 0.519038\n", + "7 -7 0.515873 -0.480732 1.512478 0.508481 0.310327\n", + "8 -6 -0.230159 -1.277911 0.817594 0.534577 0.666800\n", + "9 -5 0.198413 -0.494862 0.891687 0.353718 0.574842\n", + "10 -4 0.595238 -0.505375 1.695851 0.561548 0.289147\n", + "11 -3 0.301587 -0.393374 0.996548 0.354578 0.395018\n", + "12 -2 0.650794 -0.120146 1.421733 0.393344 0.098023\n", + "13 -1 0.000000 0.000000 0.000000 0.000000 NaN\n", + "\n", + "=== Post-treatment periods (2021-05-15 onwards) ===\n", + " rel_time att ci_low ci_up se pvalue\n", + "14 0 -0.341270 -0.933429 0.250889 0.302127 0.258663\n", + "15 1 0.976190 0.372599 1.579782 0.307961 0.001525\n", + "16 2 0.412698 -0.199118 1.024515 0.312157 0.186140\n", + "17 3 0.134921 -0.615384 0.885226 0.382816 0.724506\n", + "18 4 1.507937 0.700961 2.314912 0.411730 0.000250\n", + "19 5 1.920635 1.035289 2.805981 0.451716 0.000021\n", + "20 6 1.349206 0.793304 1.905109 0.283629 0.000002\n", + "21 7 1.111111 0.101001 2.121221 0.515372 0.031088\n", + "22 8 0.833333 0.095824 1.570842 0.376287 0.026786\n", + "23 9 1.396825 0.386041 2.407610 0.515716 0.006758\n", + "24 10 1.333333 0.583795 2.082871 0.382424 0.000489\n", + "25 11 1.730159 0.828178 2.632139 0.460203 0.000170\n", + "26 12 1.126984 0.586388 1.667580 0.275819 0.000044\n", + "27 13 1.269841 0.558016 1.981666 0.363183 0.000472\n", + "28 14 1.079365 0.372182 1.786548 0.360814 0.002776\n", + "29 15 1.666667 0.675656 2.657678 0.505627 0.000980\n", + "30 16 0.777778 -0.300925 1.856481 0.550369 0.157599\n", + "31 17 1.563492 0.618211 2.508773 0.482295 0.001188\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "=== Significance Summary ===\n", + "Pre-treatment significant: 12/14\n", + "Post-treatment significant: 14/18\n" + ] + } + ], + "source": [ + "def event_study(df, treatment_date='2021-05-15'):\n", + " \"\"\"\n", + " Event study analysis for difference-in-differences\n", + " \n", + " Parameters:\n", + " - df: DataFrame with columns [date, city, treated, downloads, post]\n", + " - treatment_date: The event date when treatment starts (default: '2021-05-15')\n", + " \"\"\"\n", + " df_es = df.copy()\n", + " \n", + " # Convert date to datetime if needed\n", + " if not pd.api.types.is_datetime64_any_dtype(df_es['date']):\n", + " df_es['date'] = pd.to_datetime(df_es['date'])\n", + " \n", + " treatment_date = pd.Timestamp(treatment_date)\n", + " \n", + " # Create relative time (days from treatment date)\n", + " df_es['rel_time'] = (df_es['date'] - treatment_date).dt.days\n", + " \n", + " # Set reference period as -1 (2021-05-14, day before treatment)\n", + " reference_period = -1\n", + " \n", + " # Create dummy variables for each relative time period (excluding reference)\n", + " time_dummies = pd.get_dummies(df_es['rel_time'], prefix='t', dtype=int)\n", + " \n", + " if f't_{reference_period}' in time_dummies.columns:\n", + " time_dummies = time_dummies.drop(f't_{reference_period}', axis=1)\n", + " \n", + " # Interact time dummies with treatment status\n", + " # Use Q() to escape variable names with special characters\n", + " for col in time_dummies.columns:\n", + " # Create interaction variable in dataframe\n", + " var_name = f'treated_x_{col}'\n", + " df_es[var_name] = df_es['treated'] * time_dummies[col]\n", + " \n", + " # Build formula using Q() for variable names with negative numbers\n", + " interaction_terms = []\n", + " for col in time_dummies.columns:\n", + " var_name = f'treated_x_{col}'\n", + " # Use Q() to quote variable names\n", + " interaction_terms.append(f'Q(\"{var_name}\")')\n", + " \n", + " formula = f\"downloads ~ {' + '.join(interaction_terms)} + C(city) + C(date)\"\n", + " \n", + " # Fit model with clustered standard errors\n", + " model = smf.ols(formula, data=df_es).fit(\n", + " cov_type='cluster',\n", + " cov_kwds={'groups': df_es['city']}\n", + " )\n", + " \n", + " # Extract results\n", + " results = []\n", + " for param_name in model.params.index:\n", + " if param_name.startswith('Q(\"treated_x_t_'):\n", + " # Extract rel_time from parameter name\n", + " rel_time_str = param_name.replace('Q(\"treated_x_t_', '').replace('\")', '')\n", + " rel_time = int(rel_time_str)\n", + " ci = model.conf_int().loc[param_name]\n", + " \n", + " results.append({\n", + " 'rel_time': rel_time,\n", + " 'att': model.params[param_name],\n", + " 'ci_low': ci[0],\n", + " 'ci_up': ci[1],\n", + " 'se': model.bse[param_name],\n", + " 'pvalue': model.pvalues[param_name]\n", + " })\n", + " \n", + " # Add reference period (normalized to 0)\n", + " results.append({\n", + " 'rel_time': reference_period,\n", + " 'att': 0.0,\n", + " 'ci_low': 0.0,\n", + " 'ci_up': 0.0,\n", + " 'se': 0.0,\n", + " 'pvalue': np.nan\n", + " })\n", + " \n", + " results_df = pd.DataFrame(results).sort_values('rel_time').reset_index(drop=True)\n", + " \n", + " return results_df, model\n", "\n", - "# comment" + "\n", + "# 사용 예시\n", + "results_df, model = event_study(mkt_data, treatment_date='2021-05-15')\n", + "\n", + "\n", + "\n", + "# 결과 확인\n", + "print(\"=== Pre-treatment periods (2021-05-01 ~ 2021-05-14) ===\")\n", + "print(results_df[results_df['rel_time'] < 0])\n", + "\n", + "print(\"\\n=== Post-treatment periods (2021-05-15 onwards) ===\")\n", + "print(results_df[results_df['rel_time'] >= 0])\n", + "\n", + "\n", + "def plot_event_study(results_df, treatment_date='2021-05-15', alpha_level=0.05):\n", + " fig, ax = plt.subplots(figsize=(14, 7))\n", + " \n", + " # Reference lines\n", + " ax.axhline(y=0, color='gray', linestyle='--', linewidth=1, alpha=0.7)\n", + " ax.axvline(x=-0.5, color='red', linestyle='--', linewidth=2, \n", + " label=f'Treatment Start ({treatment_date})', alpha=0.7)\n", + " \n", + " # Split by significance\n", + " pre_treat = results_df[results_df['rel_time'] < 0].copy()\n", + " post_treat = results_df[results_df['rel_time'] >= 0].copy()\n", + " \n", + " # Pre-treatment - significant vs non-significant\n", + " pre_sig = pre_treat[pre_treat['pvalue'] > alpha_level]\n", + " pre_nonsig = pre_treat[pre_treat['pvalue'] <= alpha_level]\n", + " \n", + " # Post-treatment - significant vs non-significant \n", + " post_sig = post_treat[post_treat['pvalue'] < alpha_level]\n", + " post_nonsig = post_treat[post_treat['pvalue'] >= alpha_level]\n", + " \n", + " # Plot non-significant (lighter color, hollow markers)\n", + " if len(pre_nonsig) > 0:\n", + " ax.errorbar(pre_nonsig['rel_time'], pre_nonsig['att'],\n", + " yerr=[pre_nonsig['att'] - pre_nonsig['ci_low'],\n", + " pre_nonsig['ci_up'] - pre_nonsig['att']],\n", + " fmt='o-', color='lightblue', capsize=4, capthick=1.5,\n", + " markersize=5, alpha=0.5, linewidth=1,\n", + " markerfacecolor='white', markeredgewidth=1.5)\n", + " \n", + " if len(post_nonsig) > 0:\n", + " ax.errorbar(post_nonsig['rel_time'], post_nonsig['att'],\n", + " yerr=[post_nonsig['att'] - post_nonsig['ci_low'],\n", + " post_nonsig['ci_up'] - post_nonsig['att']],\n", + " fmt='o-', color='lightcoral', capsize=4, capthick=1.5,\n", + " markersize=5, alpha=0.5, linewidth=1,\n", + " markerfacecolor='white', markeredgewidth=1.5)\n", + " \n", + " # Plot significant (solid color, filled markers)\n", + " if len(pre_sig) > 0:\n", + " ax.errorbar(pre_sig['rel_time'], pre_sig['att'],\n", + " yerr=[pre_sig['att'] - pre_sig['ci_low'],\n", + " pre_sig['ci_up'] - pre_sig['att']],\n", + " fmt='o-', color='blue', capsize=4, capthick=1.5,\n", + " label='Pre-treatment (p<0.1)', markersize=6, alpha=0.9,\n", + " linewidth=2)\n", + " \n", + " if len(post_sig) > 0:\n", + " ax.errorbar(post_sig['rel_time'], post_sig['att'],\n", + " yerr=[post_sig['att'] - post_sig['ci_low'],\n", + " post_sig['ci_up'] - post_sig['att']],\n", + " fmt='o-', color='red', capsize=4, capthick=1.5,\n", + " label='Post-treatment (p<0.1)', markersize=6, alpha=0.9,\n", + " linewidth=2)\n", + " \n", + " # Add gray background for significant post-treatment periods\n", + " if len(post_sig) > 0:\n", + " for _, row in post_sig.iterrows():\n", + " ax.axvspan(row['rel_time']-0.4, row['rel_time']+0.4, \n", + " alpha=0.1, color='gray', zorder=0)\n", + " \n", + " # Legend\n", + " from matplotlib.patches import Patch\n", + " custom_lines = [\n", + " plt.Line2D([0], [0], color='blue', marker='o', linewidth=2, \n", + " markersize=6, label='Pre-treatment (p<0.1)'),\n", + " plt.Line2D([0], [0], color='red', marker='o', linewidth=2, \n", + " markersize=6, label='Post-treatment (p<0.1)'),\n", + " plt.Line2D([0], [0], color='gray', marker='o', linewidth=1, \n", + " markersize=5, markerfacecolor='white', markeredgewidth=1.5,\n", + " label='Not significant (p≥0.1)', alpha=0.5),\n", + " Patch(facecolor='gray', alpha=0.1, label='Significant period')\n", + " ]\n", + " ax.legend(handles=custom_lines, fontsize=10, loc='upper left')\n", + " \n", + " ax.set_xlabel('Days Relative to Treatment (2021-05-15)', fontsize=12)\n", + " ax.set_ylabel('Treatment Effect on Downloads', fontsize=12)\n", + " ax.set_title('Event Study: Dynamic Treatment Effects (Significance Highlighted)', \n", + " fontsize=14, fontweight='bold')\n", + " ax.grid(True, alpha=0.3)\n", + " \n", + " plt.tight_layout()\n", + " plt.show()\n", + " \n", + " # Print summary\n", + " print(f\"\\n=== Significance Summary ===\")\n", + " print(f\"Pre-treatment significant: {len(pre_sig)}/{len(pre_treat)}\")\n", + " print(f\"Post-treatment significant: {len(post_sig)}/{len(post_treat)}\")\n", + "\n", + "plot_event_study(results_df, treatment_date='2021-05-15')" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "id": "187f9ba7", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "=== 통계적 유의성 ===\n", + "유의한 post-treatment 효과: 14/18 시점\n", + "유의한 시점들의 평균 ATT: 1.348\n" + ] + } + ], + "source": [ + "print(\"\\n=== 통계적 유의성 ===\")\n", + "post_treatment = results_df[results_df['rel_time'] >= 0].copy()\n", + "sig_post = post_treatment[post_treatment['pvalue'] < 0.05]\n", + "print(f\"유의한 post-treatment 효과: {len(sig_post)}/{len(post_treatment)} 시점\")\n", + "print(f\"유의한 시점들의 평균 ATT: {sig_post['att'].mean():.3f}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 174, + "id": "d0fa8ce2", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "============================================================\n", + "PRE-TREATMENT PARALLEL TRENDS TEST (F-test)\n", + "============================================================\n", + "H0: All pre-treatment effects = 0\n", + "Number of pre-treatment periods tested: 13\n", + "\n", + "F-statistic: 4.7658\n", + "p-value: 0.0000\n", + "\n", + "✗ Reject H0 (p=0.0000 < 0.05)\n", + " → Pre-treatment parallel trends assumption is violated\n", + "============================================================\n", + "\n", + "=== Individual Pre-treatment Coefficients ===\n", + " rel_time att pvalue\n", + " -14 0.317460 0.414864\n", + " -13 0.642857 0.052014\n", + " -12 0.865079 0.057045\n", + " -11 0.452381 0.256666\n", + " -10 0.269841 0.562187\n", + " -9 0.857143 0.002710\n", + " -8 0.317460 0.519038\n", + " -7 0.515873 0.310327\n", + " -6 -0.230159 0.666800\n", + " -5 0.198413 0.574842\n", + " -4 0.595238 0.289147\n", + " -3 0.301587 0.395018\n", + " -2 0.650794 0.098023\n", + " -1 0.000000 NaN\n" + ] + } + ], + "source": [ + "def test_pretrend(model, results_df):\n", + " \"\"\"\n", + " F-test for pre-treatment parallel trends\n", + " Tests joint hypothesis that all pre-treatment coefficients = 0\n", + " \"\"\"\n", + " # Get pre-treatment interaction terms\n", + " pre_periods = results_df[results_df['rel_time'] < 0]['rel_time'].values\n", + " \n", + " # Build hypothesis string for F-test\n", + " hypotheses = []\n", + " for rel_time in pre_periods:\n", + " if rel_time != -1: # Exclude reference period\n", + " param_name = f'Q(\"treated_x_t_{rel_time}\")'\n", + " hypotheses.append(f'{param_name} = 0')\n", + " \n", + " hypothesis_str = ', '.join(hypotheses)\n", + " \n", + " # Conduct F-test\n", + " f_test = model.f_test(hypothesis_str)\n", + " \n", + " print(\"=\" * 60)\n", + " print(\"PRE-TREATMENT PARALLEL TRENDS TEST (F-test)\")\n", + " print(\"=\" * 60)\n", + " print(f\"H0: All pre-treatment effects = 0\")\n", + " print(f\"Number of pre-treatment periods tested: {len(hypotheses)}\")\n", + " print(f\"\\nF-statistic: {f_test.fvalue:.4f}\") # 인덱싱 제거\n", + " print(f\"p-value: {f_test.pvalue:.4f}\")\n", + " \n", + " if f_test.pvalue > 0.05:\n", + " print(f\"\\n✓ Cannot reject H0 (p={f_test.pvalue:.4f} > 0.05)\")\n", + " print(\" → Pre-treatment parallel trends assumption is satisfied\")\n", + " else:\n", + " print(f\"\\n✗ Reject H0 (p={f_test.pvalue:.4f} < 0.05)\")\n", + " print(\" → Pre-treatment parallel trends assumption is violated\")\n", + " print(\"=\" * 60)\n", + " \n", + " return f_test\n", + "\n", + "\n", + "# 사용\n", + "results_df, model = event_study(mkt_data, treatment_date='2021-05-15')\n", + "f_test_result = test_pretrend(model, results_df)\n", + "\n", + "# 개별 계수도 확인\n", + "print(\"\\n=== Individual Pre-treatment Coefficients ===\")\n", + "pre_results = results_df[results_df['rel_time'] < 0].copy()\n", + "print(pre_results[['rel_time', 'att', 'pvalue']].to_string(index=False))" + ] + }, + { + "cell_type": "markdown", + "id": "fabc7e46", + "metadata": {}, + "source": [ + "##### Event Study 결과 해석 \n", + "\n", + "\n", + "T-검정 결과, 처치 이전 기간(Day –14 ~ –1)의 대부분 시점에서 처치 효과의 신뢰구간이 0을 포함하였으나 t=-9에서는 그렇지 않은 모습을 볼 수 있습니다. 이를 통해 평행추세 가정(parallel trends assumption) 이 충족되지 않은 것을 볼 수 있습니다.\n", + "\n", + "처치 효과는 즉각적으로 나타나지 않았습니다. 처치 직후(Day 0–3)에는 대부분의 시점에서 신뢰구간이 0을 포함해 통계적으로 유의하지 않았으나, 약 4일 후부터 유의한 양(+)의 효과가 발생하기 시작했습니다. 이는 정책이 인지되고 확산되는 데 일정한 시차가 존재함을 시사합니다. Day 4 이후에는 대부분의 시점에서 통계적으로 유의한 효과가 지속적으로 관찰되었으며, 평균적으로 다운로드 수를 약 1.2 ~ 1.5건 증가시키는 것으로 나타났습니다.\n", + "\n", + "결론적으로, 처치는 다운로드 증가에 통계적으로 유의하고 실질적인 인과효과를 가지며, 그 효과는 일시적이지 않고 지속적으로 유지되었습니다. 다만 효과가 발현되기까지 약 4일의 시차가 존재하므로, 정책 평가 시에는 충분한 관찰 기간을 확보하는 것이 필요합니다.\n", + "\n", + "또한 F-검정 결과, 사전 13개 시점의 처치효과를 동시에 검정한 결과 F 통계량은 4.77, p-값은 0.0001 미만으로 나타나 평행추세 가정이 통계적으로 유의하게 위배되었습니다." + ] + }, + { + "cell_type": "markdown", + "id": "0b985fca", + "metadata": {}, + "source": [ + "### 4. DML을 이용한 DID\n", + "\n", + "- 공변량과 결과 변수, 공변량과 처치 변수 간의 복잡한 비선형 관계를 머신러닝 모델로 예측한 후, 이 잔차(residuals)를 사용하여 DiD 효과를 추정하는 방법입니다.\n", + "- 고차원적인 공변량을 유연하게 처리하고, 머신러닝의 예측력을 활용하여 잠재적인 편향을 줄입니다. 특히 이질적인 처치 효과를 다루는 데 강점이 있습니다.\n", + "- 다만, 모델 복잡성이 증가하고, 구현 및 해석이 어려울 수 있습니다." + ] + }, + { + "cell_type": "markdown", + "id": "918e68d4", + "metadata": {}, + "source": [ + "##### Canonical DML-DiD 추정" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "aff4394f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "======================================================================\n", + "Part 1: 전체 ATT 추정\n", + "======================================================================\n", + "\n", + "공변량 개수: 202\n", + "샘플 크기: 6400\n", + "처치군: 1376, 대조군: 5024\n", + "\n", + "======================================================================\n", + "추정 결과\n", + "======================================================================\n", + "ATT: 1.1148\n", + "표준오차: 0.1115\n", + "95% CI: [0.8962, 1.3333]\n", + "\n", + "True ATT: 1.7209\n", + "Bias: -0.6061\n" + ] + } + ], + "source": [ + "\n", + "from doubleml import DoubleMLData, DoubleMLDID\n", + "from sklearn.ensemble import RandomForestRegressor, RandomForestClassifier\n", + "import tqdm\n", + "\n", + "# Part 1: 전체 ATT 추정 \n", + "\n", + "\n", + "print(\"=\" * 70)\n", + "print(\"Part 1: 전체 ATT 추정\")\n", + "print(\"=\" * 70)\n", + "\n", + "# ① 범주형 변수 인코딩\n", + "mkt_data_enc = pd.get_dummies(mkt_data_all, \n", + " columns=['region', 'city'], \n", + " drop_first=True)\n", + "\n", + "# ② 공변량 선택 - post 제외 (DoubleMLDID가 자동으로 처리)\n", + "x_cols = [c for c in mkt_data_enc.columns \n", + " if c not in ['downloads', 'treated', 'tau', 'date', 'post']]\n", + "\n", + "print(f\"\\n공변량 개수: {len(x_cols)}\")\n", + "print(f\"샘플 크기: {len(mkt_data_enc)}\")\n", + "print(f\"처치군: {(mkt_data_enc['treated']==1).sum()}, 대조군: {(mkt_data_enc['treated']==0).sum()}\")\n", + "\n", + "# ③ DoubleMLData 생성\n", + "mkt_dml_data = DoubleMLData(\n", + " data=mkt_data_enc,\n", + " y_col='downloads',\n", + " d_cols='treated',\n", + " x_cols=x_cols\n", + ")\n", + "\n", + "# ④ 모델 지정\n", + "ml_g = RandomForestRegressor(max_depth=5, n_estimators=200, random_state=42)\n", + "ml_m = RandomForestClassifier(max_depth=3, n_estimators=200, random_state=42)\n", + "\n", + "# ⑤ DoubleML-DID 추정\n", + "dml_did = DoubleMLDID(\n", + " obj_dml_data=mkt_dml_data,\n", + " ml_g=ml_g,\n", + " ml_m=ml_m,\n", + " score='observational',\n", + " n_folds=5,\n", + " in_sample_normalization=True # 정규화 옵션 추가\n", + ")\n", + "\n", + "dml_did.fit()\n", + "\n", + "# ⑥ 결과 출력\n", + "print(\"\\n\" + \"=\" * 70)\n", + "print(\"추정 결과\")\n", + "print(\"=\" * 70)\n", + "print(f\"ATT: {dml_did.coef[0]:.4f}\")\n", + "print(f\"표준오차: {dml_did.se[0]:.4f}\")\n", + "\n", + "confint = dml_did.confint(level=0.95)\n", + "print(f\"95% CI: [{confint['2.5 %'].iloc[0]:.4f}, {confint['97.5 %'].iloc[0]:.4f}]\")\n", + "\n", + "# True ATT와 비교\n", + "if 'tau' in mkt_data_enc.columns:\n", + " true_att = mkt_data_enc.query(\"treated==1 & post==1\")['tau'].mean()\n", + " print(f\"\\nTrue ATT: {true_att:.4f}\")\n", + " print(f\"Bias: {dml_did.coef[0] - true_att:.4f}\")\n" + ] + }, + { + "cell_type": "markdown", + "id": "769389cf", + "metadata": {}, + "source": [ + "##### Dynamic DML-DiD" + ] + }, + { + "cell_type": "code", + "execution_count": 170, + "id": "8f5fd754", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "\n", + "======================================================================\n", + "Part 2: Event Study - 평행추세 검정 및 동적 처치효과\n", + "======================================================================\n", + "\n", + "✓ 분석 기간: -14 ~ 17\n", + "✓ 처치 전 기간: 14개\n", + "✓ 처치 후 기간: 18개\n", + "\n", + "Event Study 추정 중...\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 32/32 [00:44<00:00, 1.40s/it]" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "======================================================================\n", + "Event Study 요약\n", + "======================================================================\n", + "✓ 추정 완료 시점: 32개\n", + "✓ 처치 전 평균 효과: 0.0618\n", + "✓ 처치 후 평균 효과: 1.7048\n", + "\n", + "평행추세 검정:\n", + " - 처치 전 유의한 효과: 0/14\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\n" + ] + } + ], + "source": [ + "\n", + "# Part 2: Event Study \n", + "\n", + "\n", + "print(\"\\n\\n\" + \"=\" * 70)\n", + "print(\"Part 2: Event Study - 평행추세 검정 및 동적 처치효과\")\n", + "print(\"=\" * 70)\n", + "\n", + "# 데이터 준비\n", + "mkt_data_enc = pd.get_dummies(mkt_data_all, \n", + " columns=['region', 'city'], \n", + " drop_first=True)\n", + "\n", + "# 시간 인덱스 생성\n", + "mkt_data_enc['date'] = pd.to_datetime(mkt_data_enc['date'])\n", + "date_to_time = {date: idx for idx, date in enumerate(sorted(mkt_data_enc['date'].unique()))}\n", + "mkt_data_enc['time'] = mkt_data_enc['date'].map(date_to_time)\n", + "\n", + "# 처치 시점 확인\n", + "treatment_time = mkt_data_enc[mkt_data_enc['post'] == 1]['time'].min()\n", + "mkt_data_enc['time_relative'] = mkt_data_enc['time'] - treatment_time\n", + "\n", + "time_periods = sorted(mkt_data_enc['time_relative'].unique())\n", + "\n", + "# 공변량 (post 제외, city 더미는 포함)\n", + "x_cols = [c for c in mkt_data_enc.columns \n", + " if c not in ['downloads', 'treated', 'tau', 'date', 'time', 'time_relative', 'post']]\n", + "\n", + "print(f\"\\n✓ 분석 기간: {min(time_periods)} ~ {max(time_periods)}\")\n", + "print(f\"✓ 처치 전 기간: {len([t for t in time_periods if t < 0])}개\")\n", + "print(f\"✓ 처치 후 기간: {len([t for t in time_periods if t >= 0])}개\")\n", + "\n", + "# 결과 저장\n", + "results_list = []\n", + "\n", + "print(\"\\nEvent Study 추정 중...\")\n", + "np.random.seed(42)\n", + "\n", + "for t in tqdm.tqdm(time_periods):\n", + " # 해당 시점의 데이터만 사용\n", + " data_t = mkt_data_enc[mkt_data_enc['time_relative'] == t].copy()\n", + " \n", + " # 처치군과 대조군 확인\n", + " n_treated = (data_t['treated'] == 1).sum()\n", + " n_control = (data_t['treated'] == 0).sum()\n", + " \n", + " if n_treated < 5 or n_control < 5:\n", + " continue\n", + " \n", + " try:\n", + " # DoubleMLData 생성 (각 시점에서 독립적으로)\n", + " dml_data = DoubleMLData(\n", + " data=data_t,\n", + " y_col='downloads',\n", + " d_cols='treated',\n", + " x_cols=x_cols\n", + " )\n", + " \n", + " # fold 수 결정\n", + " n_folds = min(5, len(data_t) // 20)\n", + " n_folds = max(2, n_folds)\n", + " \n", + " # DoubleML-DID 추정\n", + " # 각 시점에서 cross-sectional 비교\n", + " dml_did_t = DoubleMLDID(\n", + " dml_data,\n", + " ml_g=RandomForestRegressor(max_depth=5, n_estimators=200, random_state=42),\n", + " ml_m=RandomForestClassifier(max_depth=3, n_estimators=200, random_state=42),\n", + " score='observational',\n", + " n_folds=n_folds,\n", + " in_sample_normalization=True\n", + " )\n", + " \n", + " dml_did_t.fit()\n", + " \n", + " # 결과 저장\n", + " confint_t = dml_did_t.confint(level=0.95)\n", + " result_row = {\n", + " 'time': t,\n", + " 'effect': dml_did_t.coef[0],\n", + " 'se': dml_did_t.se[0],\n", + " 'lower': confint_t['2.5 %'].iloc[0],\n", + " 'upper': confint_t['97.5 %'].iloc[0],\n", + " 'n_obs': len(data_t),\n", + " 'n_treated': n_treated,\n", + " 'n_control': n_control\n", + " }\n", + " results_list.append(result_row)\n", + " \n", + " except Exception as e:\n", + " print(f\"\\n 시점 {t}에서 오류: {str(e)}\")\n", + " continue\n", + "\n", + "# 결과 데이터프레임\n", + "df_parallel = pd.DataFrame(results_list)\n", + "\n", + "print(\"\\n\" + \"=\" * 70)\n", + "print(\"Event Study 요약\")\n", + "print(\"=\" * 70)\n", + "print(f\"✓ 추정 완료 시점: {len(df_parallel)}개\")\n", + "print(f\"✓ 처치 전 평균 효과: {df_parallel[df_parallel['time'] < 0]['effect'].mean():.4f}\")\n", + "print(f\"✓ 처치 후 평균 효과: {df_parallel[df_parallel['time'] >= 0]['effect'].mean():.4f}\")\n", + "\n", + "# 평행추세 검정\n", + "pre_treatment = df_parallel[df_parallel['time'] < 0]\n", + "if len(pre_treatment) > 0:\n", + " # 처치 전 효과가 0과 유의하게 다른지 검정\n", + " pre_significant = ((pre_treatment['lower'] > 0) | (pre_treatment['upper'] < 0)).sum()\n", + " print(f\"\\n평행추세 검정:\")\n", + " print(f\" - 처치 전 유의한 효과: {pre_significant}/{len(pre_treatment)}\")\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 171, + "id": "3e04a9d8", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "======================================================================\n", + "상세 결과 테이블\n", + "======================================================================\n", + " time effect se lower upper n_obs n_treated n_control\n", + " -14 0.026166 0.396660 -0.751274 0.803605 200 43 157\n", + " -13 0.196312 0.448719 -0.683161 1.075784 200 43 157\n", + " -12 0.199174 0.439775 -0.662768 1.061116 200 43 157\n", + " -11 -0.085387 0.387458 -0.844791 0.674017 200 43 157\n", + " -10 -0.184637 0.418166 -1.004228 0.634954 200 43 157\n", + " -9 -0.009544 0.402886 -0.799185 0.780097 200 43 157\n", + " -8 0.122351 0.405131 -0.671692 0.916394 200 43 157\n", + " -7 0.262037 0.403967 -0.529723 1.053797 200 43 157\n", + " -6 -0.040674 0.390118 -0.805292 0.723943 200 43 157\n", + " -5 -0.041045 0.385302 -0.796222 0.714132 200 43 157\n", + " -4 0.170447 0.418033 -0.648883 0.989777 200 43 157\n", + " -3 0.058440 0.407665 -0.740568 0.857448 200 43 157\n", + " -2 0.139694 0.416366 -0.676369 0.955757 200 43 157\n", + " -1 0.052180 0.414668 -0.760554 0.864914 200 43 157\n", + " 0 -0.200275 0.370162 -0.925779 0.525229 200 43 157\n", + " 1 0.404908 0.401765 -0.382538 1.192353 200 43 157\n", + " 2 0.779791 0.413758 -0.031160 1.590742 200 43 157\n", + " 3 1.117617 0.433415 0.268140 1.967094 200 43 157\n", + " 4 1.822868 0.450898 0.939125 2.706612 200 43 157\n", + " 5 2.104725 0.474344 1.175028 3.034422 200 43 157\n", + " 6 1.991723 0.491194 1.029001 2.954444 200 43 157\n", + " 7 1.890496 0.495958 0.918436 2.862556 200 43 157\n", + " 8 1.787639 0.505051 0.797758 2.777520 200 43 157\n", + " 9 2.126612 0.497340 1.151843 3.101381 200 43 157\n", + " 10 1.828498 0.487469 0.873077 2.783918 200 43 157\n", + " 11 1.786982 0.500655 0.805716 2.768247 200 43 157\n", + " 12 2.387927 0.504289 1.399539 3.376315 200 43 157\n", + " 13 2.166021 0.482702 1.219942 3.112101 200 43 157\n", + " 14 2.090271 0.517916 1.075174 3.105367 200 43 157\n", + " 15 2.155379 0.508234 1.159259 3.151499 200 43 157\n", + " 16 2.024711 0.492422 1.059582 2.989841 200 43 157\n", + " 17 2.419974 0.505077 1.430040 3.409907 200 43 157\n" + ] + } + ], + "source": [ + "\n", + "# 시각화\n", + "\n", + "\n", + "fig, ax = plt.subplots(figsize=(14, 8))\n", + "\n", + "# Reference lines\n", + "ax.axhline(y=0, color='black', linestyle='--', linewidth=1.5, alpha=0.5, label='No Effect')\n", + "ax.axvline(x=0, color='red', linestyle='-', linewidth=2, alpha=0.7, label='Treatment Start')\n", + "\n", + "# Split pre- and post-treatment periods\n", + "pre_treatment = df_parallel[df_parallel['time'] < 0]\n", + "post_treatment = df_parallel[df_parallel['time'] >= 0]\n", + "\n", + "# Pre-treatment plot\n", + "if len(pre_treatment) > 0:\n", + " ax.errorbar(pre_treatment['time'], pre_treatment['effect'], \n", + " yerr=[pre_treatment['effect'] - pre_treatment['lower'],\n", + " pre_treatment['upper'] - pre_treatment['effect']],\n", + " fmt='o', color='#2E86AB', markersize=10, capsize=6, \n", + " linewidth=2.5, capthick=2, label='Pre-treatment (Parallel Trend Test)',\n", + " alpha=0.8)\n", + "\n", + "# Post-treatment plot\n", + "if len(post_treatment) > 0:\n", + " ax.errorbar(post_treatment['time'], post_treatment['effect'], \n", + " yerr=[post_treatment['effect'] - post_treatment['lower'],\n", + " post_treatment['upper'] - post_treatment['effect']],\n", + " fmt='s', color='#06A77D', markersize=10, capsize=6, \n", + " linewidth=2.5, capthick=2, label='Post-treatment (Treatment Effect)',\n", + " alpha=0.8)\n", + "\n", + "# Labels and title\n", + "ax.set_xlabel('Relative Time to Treatment', fontsize=14, fontweight='bold')\n", + "ax.set_ylabel('Estimated Effect (Downloads)', fontsize=14, fontweight='bold')\n", + "ax.set_title('Event Study: Parallel Trend Test & Dynamic Treatment Effects\\n(DoubleML-DID)', \n", + " fontsize=16, fontweight='bold', pad=20)\n", + "\n", + "# Legend, grid, layout\n", + "ax.legend(fontsize=12, loc='best', framealpha=0.9)\n", + "ax.grid(True, alpha=0.3, linestyle='--')\n", + "plt.tight_layout()\n", + "plt.show()\n", + "\n", + "# 결과 테이블 출력\n", + "print(\"\\n\" + \"=\" * 70)\n", + "print(\"상세 결과 테이블\")\n", + "print(\"=\" * 70)\n", + "print(df_parallel.to_string(index=False))" ] }, { "cell_type": "markdown", + "id": "e467df6f", "metadata": {}, "source": [ - "### 질문이나 의견을 남겨주세요.\n", - "" + "분석 결과,처치 전 평균 효과는 0.0618로, 통계적으로 유의한 시점은 **0개(0/14)** 였습니다.\n", + "이는 처치 이전에 집단 간 유의한 차이가 존재하지 않음을 의미하며, 평행추세 가정이 충족되는 것으로 판단됩니다.\n", + "\n", + "반면,처치 후 동적 평균 효과는 1.7048로, 대부분의 시점에서 양(+)의 효과가 관찰되었습니다.\n", + "이는 **처치 이후 실질적인 성과 향상(예: downloads 증가)** 이 나타났음을 시사하며,처치 효과가 시간에 따라 점진적으로 강화되는 동적 패턴을 보인다고 해석할 수 있습니다.\n" ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "bb62d4f5", + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { + "celltoolbar": "Tags", "kernelspec": { - "display_name": "base", + "display_name": "Python (fack_cl)", "language": "python", - "name": "python3" + "name": "fack_cl" }, "language_info": { "codemirror_mode": { @@ -64,9 +4464,51 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.12.7" + "version": "3.10.16" + }, + "toc": { + "base_numbering": 1, + "nav_menu": {}, + "number_sections": true, + "sideBar": true, + "skip_h1_title": false, + "title_cell": "Table of Contents", + "title_sidebar": "Contents", + "toc_cell": false, + "toc_position": {}, + "toc_section_display": true, + "toc_window_display": false + }, + "varInspector": { + "cols": { + "lenName": 16, + "lenType": 16, + "lenVar": 40 + }, + "kernels_config": { + "python": { + "delete_cmd_postfix": "", + "delete_cmd_prefix": "del ", + "library": "var_list.py", + "varRefreshCmd": "print(var_dic_list())" + }, + "r": { + "delete_cmd_postfix": ") ", + "delete_cmd_prefix": "rm(", + "library": "var_list.r", + "varRefreshCmd": "cat(var_dic_list()) " + } + }, + "types_to_exclude": [ + "module", + "function", + "builtin_function_or_method", + "instance", + "_Feature" + ], + "window_display": false } }, "nbformat": 4, - "nbformat_minor": 2 + "nbformat_minor": 5 } diff --git a/book/ate/propensity_score_and_dml.ipynb b/book/ate/propensity_score_and_dml.ipynb index c2e7639..a5b873a 100644 --- a/book/ate/propensity_score_and_dml.ipynb +++ b/book/ate/propensity_score_and_dml.ipynb @@ -11,11 +11,1959 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "- Matching\n", - "- IPW, AIPW, Doubly Robust Estimator\n", - "- Double Machine Learning (비모수 버전의 Regression 처럼 활용 가능)" + "- IPW, AIPW, Doubly Robust Estimator" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Propensity Score 추정" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "출처: https://matheusfacure.github.io/python-causality-handbook/11-Propensity-Score.html" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "IPW와 AIPW, Doubly Robust 모두 Propensity Score를 활용한 개념들이기 때문에 먼저 Propensity Score부터 간단하게 구해보겠습니다." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import warnings\n", + "warnings.filterwarnings('ignore')\n", + "\n", + "import pandas as pd\n", + "import numpy as np\n", + "from causalinference import CausalModel" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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schoolidinterventionachievement_scoresuccess_expectethnicitygenderfrst_in_familyschool_urbanicityschool_mindsetschool_achievementschool_ethnic_minorityschool_povertyschool_size
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26371611.36092064101-0.5389751.433826-0.033161-0.9822741.591641
\n", + "
" + ], + "text/plain": [ + " schoolid intervention achievement_score success_expect ethnicity \\\n", + "259 73 1 1.480828 5 1 \n", + "3435 76 0 -0.987277 5 13 \n", + "9963 4 0 -0.152340 5 2 \n", + "4488 67 0 0.358336 6 14 \n", + "2637 16 1 1.360920 6 4 \n", + "\n", + " gender frst_in_family school_urbanicity school_mindset \\\n", + "259 2 0 1 -0.462945 \n", + "3435 1 1 4 0.334544 \n", + "9963 2 1 0 -2.289636 \n", + "4488 1 0 4 -1.115337 \n", + "2637 1 0 1 -0.538975 \n", + "\n", + " school_achievement school_ethnic_minority school_poverty school_size \n", + "259 0.652608 -0.515202 -0.169849 0.173954 \n", + "3435 0.648586 -1.310927 0.224077 -0.426757 \n", + "9963 0.190797 0.875012 -0.724801 0.761781 \n", + "4488 1.053089 0.315755 0.054586 1.862187 \n", + "2637 1.433826 -0.033161 -0.982274 1.591641 " + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data = pd.read_csv(\"../data/matheus_data/learning_mindset.csv\")\n", + "data.sample(5, random_state=5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Propensity Score 계산" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "categ = [\"ethnicity\", \"gender\", \"school_urbanicity\"]\n", + "cont = [\"school_mindset\", \"school_achievement\", \"school_ethnic_minority\", \"school_poverty\", \"school_size\"]\n", + "\n", + "data_with_categ = pd.concat([\n", + " data.drop(columns=categ), \n", + " pd.get_dummies(data[categ], columns=categ, drop_first=False)\n", + "], axis=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.linear_model import LogisticRegression\n", + "\n", + "T = 'intervention'\n", + "Y = 'achievement_score'\n", + "X = data_with_categ.columns.drop(['schoolid', T, Y])\n", + "\n", + "ps_model = LogisticRegression(C=1e6).fit(data_with_categ[X], data_with_categ[T])\n", + "\n", + "data_ps = data.assign(propensity_score=ps_model.predict_proba(data_with_categ[X])[:, 1])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## IPW 및 ATE 추정" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "from sklearn.linear_model import LogisticRegression, Ridge\n", + "from causallib.estimation.standardization import Standardization\n", + "from causallib.estimation.ipw import IPW\n", + "from causallib.estimation.doubly_robust import AIPW" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### 1) IPW로 가상(Pseudo) 모집단 생성 \n", + "\n", + "표본의 각 개체에 IPW 적용 \n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Original Sample Size 10391\n", + "Treated Population Sample Size 10387.611324207002\n", + "Untreated(Control) Population Sample Size 10391.506162305861\n" + ] + } + ], + "source": [ + "weight_t = 1/data_ps.query(\"intervention==1\")[\"propensity_score\"]\n", + "weight_nt = 1/(1-data_ps.query(\"intervention==0\")[\"propensity_score\"])\n", + "print(\"Original Sample Size\", data.shape[0])\n", + "print(\"Treated Population Sample Size\", sum(weight_t))\n", + "print(\"Untreated(Control) Population Sample Size\", sum(weight_nt))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### 2) ATE 추정\n", + "\n", + "이제 Pseudo 집단에서의 Treat그룹과 Control그룹 각각의 Average Potential Outcome을 구하고, 이를 토대로 ATE를 추정합니다." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Y1: 0.25981027799629486\n", + "Y0: -0.12903052783749974\n", + "ATE 0.38884080583379527\n" + ] + } + ], + "source": [ + "weight = ((data_ps[\"intervention\"]-data_ps[\"propensity_score\"]) /\n", + " (data_ps[\"propensity_score\"]*(1-data_ps[\"propensity_score\"])))\n", + "\n", + "y1_ipw = sum(data_ps.query(\"intervention==1\")[\"achievement_score\"]*weight_t) / len(data)\n", + "y0_ipw = sum(data_ps.query(\"intervention==0\")[\"achievement_score\"]*weight_nt) / len(data)\n", + "\n", + "ate_ipw = y1_ipw - y0_ipw\n", + "#ate = np.mean(weight * data_ps[\"achievement_score\"]) -> 이렇게도 ATE 계산 가능\n", + "\n", + "print(\"Y1:\", y1_ipw)\n", + "print(\"Y0:\", y0_ipw)\n", + "print(\"ATE\", np.mean(weight * data_ps[\"achievement_score\"]))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**결과 해석**: \n", + "1. Treatment 받은 개인이 Treatment 받지 않은 동료보다 achievement_score가 0.38 표준편차 더 크다. (achievement_score는 표준화된 결과이기 때문에 표준 편차의 차이로 해석)\n", + "2. 아무도 Treatment 받지 않은 경우 일반적인 성취 수준이 현재보다 0.12 표준편차 더 낮다.\n", + "3. 모든 사람이 Treatment(세미나)를 받았다면 일반적인 성취 수준이 0.25 표준편차 더 높음." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "또한 ate를 나타내는 하나의 코드가 더 있다. \n", + "위의 코드에 주석처리한 부분을 그대로 실행해보면 똑같은 결과를 얻을 수 있는 것을 알 수 있다." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "두 결과값이 같은 이유는 Matheus Facure(출처)의 책에서 자세히 설명되어 있다. \n", + "(참고: $ \\mathrm{ATE}=\\mathbb{E}\\!\\left[\\, Y\\,\\dfrac{T-e(X)}{e(X)\\,\\bigl(1-e(X)\\bigr)} \\right] $)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Doubly Robust Estimator & AIPW" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "출처: https://causallib.readthedocs.io/en/latest/causallib.estimation.doubly_robust.html?highlight=doubly" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.model_selection import KFold\n", + "from causallib.estimation.ipw import IPW\n", + "from causallib.estimation.doubly_robust import AIPW\n", + "from causallib.estimation.standardization import Standardization\n", + "from sklearn.linear_model import LogisticRegression, LinearRegression, Ridge" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "Y = data[\"achievement_score\"]\n", + "T = data[\"intervention\"]\n", + "X = pd.get_dummies(\n", + " data[[\"school_mindset\",\"school_achievement\",\"school_ethnic_minority\",\n", + " \"school_poverty\",\"school_size\",\"ethnicity\",\"gender\",\"school_urbanicity\"]],\n", + " drop_first=False\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "DR Estimator는 결과모형과 IPW값이 모두 필요함 \n", + "- Y값(achievement_score)을 Ridge로 예측(L2 패널티 부여) \n", + "- IPW: 로지스틱 회귀 사용" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "outcome_model = Standardization(learner=Ridge(alpha=1.0))\n", + "weight_model = IPW(learner=LogisticRegression(max_iter=1000),\n", + " clip_min=0.01, clip_max=0.99, use_stabilized=True)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Propensity Score를 구할 때 max_iter을 충분히 큰 숫자(1000)으로 설정해 수치 최적화가 수렴할 수 있도록 설정합니다. \n", + "또한 클리핑을 사용하여 $ \\hat{e} $가 [0.01, 0.99]에서만 존재하도록 극단 가중치를 완화합니다 (use_stabilized = True). " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### AIPW 추정" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "위에서 구한 PS와 IPW를 활용하여 AIPW를 구합니다." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
AIPW(_doc_link_module=sklearn, _doc_link_template=https://scikit-learn.org/1.5/modules/generated/{estimator_module}.{estimator_name}.html, _doc_link_url_param_generator=None, outcome_covariates=None, outcome_model=Standardization(_doc_link_module=sklearn, _doc_link_template=https://scikit-learn.org/1.5/modules/generated/{estimator_module}.{estimator_name}.html, _doc_link_url_param_generator=None, encode_treatment=False, predict_proba=False,\n",
+       "                learner=Ridge()), overlap_weighting=False, predict_proba=False, weight_covariates=None,\n",
+       "     weight_model=IPW(_doc_link_module=sklearn, _doc_link_template=https://scikit-learn.org/1.5/modules/generated/{estimator_module}.{estimator_name}.html, _doc_link_url_param_generator=None, clip_max=0.99, clip_min=0.01, use_stabilized=True, verbose=False,\n",
+       "    learner=LogisticRegression(max_iter=1000)))
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" + ], + "text/plain": [ + "AIPW(_doc_link_module=sklearn, _doc_link_template=https://scikit-learn.org/1.5/modules/generated/{estimator_module}.{estimator_name}.html, _doc_link_url_param_generator=None, outcome_covariates=None, outcome_model=Standardization(_doc_link_module=sklearn, _doc_link_template=https://scikit-learn.org/1.5/modules/generated/{estimator_module}.{estimator_name}.html, _doc_link_url_param_generator=None, encode_treatment=False, predict_proba=False,\n", + " learner=Ridge()), overlap_weighting=False, predict_proba=False, weight_covariates=None,\n", + " weight_model=IPW(_doc_link_module=sklearn, _doc_link_template=https://scikit-learn.org/1.5/modules/generated/{estimator_module}.{estimator_name}.html, _doc_link_url_param_generator=None, clip_max=0.99, clip_min=0.01, use_stabilized=True, verbose=False,\n", + " learner=LogisticRegression(max_iter=1000)))" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dr = AIPW(outcome_model=outcome_model, weight_model=weight_model, overlap_weighting=False)\n", + "dr.fit(X, T, Y)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "μ1 (A=1): 0.30329930792804977\n", + "μ0 (A=0): -0.1471130386820095\n", + "ATE (DR, vanilla): 0.45041234661005924\n" + ] + } + ], + "source": [ + "pop_outcomes = dr.estimate_population_outcome(X, T, Y)\n", + "mu1_aipw, mu0_aipw = pop_outcomes[1], pop_outcomes[0]\n", + "ate_aipw = dr.estimate_effect(mu1_aipw, mu0_aipw, agg=\"population\")[\"diff\"]\n", + "print(\"μ1 (A=1):\", mu1_aipw)\n", + "print(\"μ0 (A=0):\", mu0_aipw)\n", + "print(\"ATE (DR, vanilla):\", ate_aipw)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**결과 해석**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "결과 해석은 IPW에서와 마찬가지로 생각하면 됩니다. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "위에서 구한 AIPW는 Propensity Score의 Overlap이 충분히 확보되었을 때는 좋은 결과를 나타냅니다. \n", + "하지만 Overlap 구간이 불안정할 때는 Overlap-weighting = True이라는 기능을 활용해도 좋습니다." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
AIPW(_doc_link_module=sklearn, _doc_link_template=https://scikit-learn.org/1.5/modules/generated/{estimator_module}.{estimator_name}.html, _doc_link_url_param_generator=None, outcome_covariates=None, outcome_model=Standardization(_doc_link_module=sklearn, _doc_link_template=https://scikit-learn.org/1.5/modules/generated/{estimator_module}.{estimator_name}.html, _doc_link_url_param_generator=None, encode_treatment=False, predict_proba=False,\n",
+       "                learner=Ridge()), overlap_weighting=True, predict_proba=False, weight_covariates=None,\n",
+       "     weight_model=IPW(_doc_link_module=sklearn, _doc_link_template=https://scikit-learn.org/1.5/modules/generated/{estimator_module}.{estimator_name}.html, _doc_link_url_param_generator=None, clip_max=0.99, clip_min=0.01, use_stabilized=True, verbose=False,\n",
+       "    learner=LogisticRegression(max_iter=1000)))
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" + ], + "text/plain": [ + "AIPW(_doc_link_module=sklearn, _doc_link_template=https://scikit-learn.org/1.5/modules/generated/{estimator_module}.{estimator_name}.html, _doc_link_url_param_generator=None, outcome_covariates=None, outcome_model=Standardization(_doc_link_module=sklearn, _doc_link_template=https://scikit-learn.org/1.5/modules/generated/{estimator_module}.{estimator_name}.html, _doc_link_url_param_generator=None, encode_treatment=False, predict_proba=False,\n", + " learner=Ridge()), overlap_weighting=True, predict_proba=False, weight_covariates=None,\n", + " weight_model=IPW(_doc_link_module=sklearn, _doc_link_template=https://scikit-learn.org/1.5/modules/generated/{estimator_module}.{estimator_name}.html, _doc_link_url_param_generator=None, clip_max=0.99, clip_min=0.01, use_stabilized=True, verbose=False,\n", + " learner=LogisticRegression(max_iter=1000)))" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dr_overlap = AIPW(outcome_model=outcome_model,\n", + " weight_model=weight_model,\n", + " overlap_weighting=True)\n", + "dr_overlap.fit(X, T, Y)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " ATE(DR, overlap-weighting): 0.3467411782171299\n" + ] + } + ], + "source": [ + "pop_outcomes_ov = dr_overlap.estimate_population_outcome(X, T, Y)\n", + "ate_ov = dr_overlap.estimate_effect(pop_outcomes_ov[1], pop_outcomes_ov[0],\n", + " agg=\"population\")[\"diff\"]\n", + "print(\" ATE(DR, overlap-weighting):\", ate_ov)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " estimator μ1 μ0 ATE\n", + "0 IPW (manual) 0.259810 -0.129031 0.388841\n", + "1 AIPW (vanilla) 0.303299 -0.147113 0.450412\n", + "2 AIPW (overlap) NaN NaN 0.346741\n" + ] + } + ], + "source": [ + "results = pd.DataFrame([\n", + " [\"IPW (manual)\", y1_ipw, y0_ipw, ate_ipw],\n", + " [\"AIPW (vanilla)\", mu1_aipw, mu0_aipw, ate_aipw],\n", + " [\"AIPW (overlap)\", np.nan, np.nan, ate_ov]\n", + "], columns=[\"estimator\", \"μ1\", \"μ0\", \"ATE\"])\n", + "print(results)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "위에서 사용한 방법에 따라 ATE 값이 다르게 나타나는 것을 알 수 있습니다. \n", + " \n", + "하지만 Overlap-Weighting 옵션을 사용한 경우에는 ATE가 아닌 ATO를 추정한 것이고 둘을 직접 비교하는 것은 맞지 않을 수 있습니다. \n", + " \n", + "분석의 목적이 ATE를 추정하는 것인지 ATO를 추정하는 것인지 확인한 후 적절히 사용하면 됩니다. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Robustness Check의 흐름\n", + "\n", + "각각의 수치에 대한 검증은 필수입니다. \n", + "어떤 수치가 더 Robust하게 추정이 된 걸까요? \n", + "\n", + "Yang et al., 2019, Gastrointest Endosc 및 Austin, 2021, Statistic in Medicine 논문을 참고하여 IPW에 대한 Robustness Check을 진행해보도록 하겠습니다. \n", + "순서는 다음과 같습니다.\n", + "\n", + "1) **IPW 가중 전, 후 |SMD| 변화 확인**\n", + "\n", + "2) **Propensity Score의 Overlap 확인**\n", + "\n", + "3) **IPW 가중 이후 ESS 및 VIF 확인**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "먼저 IPW로 구한 ATE의 신빙성을 테스트 해보겠습니다." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "출처: https://causallib.readthedocs.io/en/latest/causallib.evaluation.plots.plots.html" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "from causallib.evaluation.plots.plots import plot_propensity_score_distribution\n", + "from causallib.evaluation import evaluate" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### IPW 가중 전, 후 |SMD| 변화 확인" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "res = evaluate(weight_model, X, T, Y, cv=\"auto\")\n", + "res.plot_covariate_balance(kind=\"love\", phase=\"valid\", thresh=0.1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Weighted이후에 |SMD|가 더 줄어든 것을 보았을 때, Weighted 이후 밸런스가 개선되었음을 확인할 수 있습니다. \n", + "|SMD| < 0.1 이 목표" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Propensity Score Overlap\n", + "아래는 처음에 Logistic Regression으로 추정한 Propensity Score의 Distribution을 나타낸 것입니다." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_propensity_score_distribution(\n", + " propensity=data_ps['propensity_score'],\n", + " treatment=data_ps['intervention'],\n", + " reflect=False,\n", + " kde=False,\n", + " norm_hist=True,\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "하지만 이는 하나의 데이터에 적합 및 예측을 동시에 하기 때문에 Overlap이 실제보다 좋아보일 수 있습니다." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "그렇다면 OOF 폴드 예측으로 얻은 PS 분포를 그려봅시다. \n", + "(cv = None -> 단일 적합, cv = \"auto\" -> 교차검증)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "res.plot_weight_distribution(phase=\"valid\", reflect=False, norm_hist=True)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "OOF로 검증해도 Propensity Score의 Overlap 및 Positivity가 양호한 것을 확인" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### IPW 가중치 분포 및 유효표본수(ESS)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ESS = 10354.68 (N = 10391) -> VIF = 1.0035\n" + ] + } + ], + "source": [ + "w = weight_model.compute_weights(X, T)\n", + "ESS = (w.sum()**2) / (w**2).sum()\n", + "N = len(w)\n", + "VIF = N / ESS\n", + "\n", + "print(f\"ESS = {ESS:.2f} (N = {N}) -> VIF = {VIF:.4f}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'IPW weights (log y)')" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(); plt.hist(w, bins=40); plt.yscale('log'); plt.title('IPW weights (log y)')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "결과 해석\n", + "1) ESS와 N수가 거의 비슷한 것을 확인할 수 있음(VIF ≈ 1) -> 가중치가 고르게 퍼져있다\n", + "2) 히스토그램이 1 주변에 모여있고(= 가중치 과도하게 쏠리지 않음), 꼬리 부분도 완만(= 극단 가중치 거의 없음)\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "다만 VIF와 Propensity Score Overlap이 정량적으로 얼마나 되어야 한다 라는 지표는 찾을 수 없었습니다. \n", + "\n", + "\n", + "데이터 및 분석의 맥락에 따라 다르게 지정하되, propensity score의 overlap이 약하다면 위에서 진행한 clipping 등의 방법을 적용해보면 좋습니다. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[참고자료]\n", + "- Yang, Jeff Y., et al. \"Propensity score methods to control for confounding in observational cohort studies: a statistical primer and application to endoscopy research.\" Gastrointestinal endoscopy 90.3 (2019): 360-369.\n", + "\n", + "- Austin, Peter C. \"Informing power and sample size calculations when using inverse probability of treatment weighting using the propensity score.\" Statistics in Medicine 40.27 (2021): 6150-6163.\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Double/Debiased Machine Learning (비모수 버전의 Regression 처럼 활용 가능)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "코드 및 데이터 참조 출처: https://matheusfacure.github.io/python-causality-handbook/22-Debiased-Orthogonal-Machine-Learning.html" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "DML은 ATE와 CATE와 같은 인과적 모수를 구하는 하나의 프레임입니다. \n", + "\n", + "간략하게 소개하자면, DML은 복잡한 보조모형은 머신러닝으로 학습하고, 직교화(Neyman 점수)와 교차적합으로 bias를 상쇄해 ATE·CATE 같은 인과모수를 정규성으로 안정적으로 추정하는 프레임워크입니다. \n", + "이를 통해 인과 매개변수의 추정 절차와 성가신 매개변수의 추정 절차를 분리할 수 있는 장점을 지닌 방법입니다.\n", + "\n", + "코드와 함께 더 자세하게 알아보기 위해 계량경제학에서 자주 사용하는 데이터셋 중 하나인 **아이스크림 판매 데이터셋**을 활용해보겠습니다. \n" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " temp weekday cost price sales\n", + "0 17.3 6 1.5 5.6 173\n", + "1 25.4 3 0.3 4.9 196\n", + "2 23.3 5 1.5 7.6 207\n", + "3 26.9 1 0.3 5.3 241\n", + "4 20.2 1 1.0 7.2 227" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "test = pd.read_csv(\"../data/matheus_data/ice_cream_sales_rnd.csv\")\n", + "train = pd.read_csv(\"../data/matheus_data/ice_cream_sales.csv\")\n", + "train.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Frisch-Waugh-Lovell 응용 DML" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [], + "source": [ + "y = \"sales\"\n", + "T = \"price\"\n", + "X = [\"temp\", \"weekday\", \"cost\"]\n", + "\n", + "debias_m = LGBMRegressor(max_depth=3, verbosity=-1)\n", + "denoise_m = LGBMRegressor(max_depth=3, verbosity=-1)\n", + "\n", + "train_pred = train.assign(price_res = train[T] - cross_val_predict(debias_m, train[X], train[T], cv=5),\n", + " sales_res = train[y] - cross_val_predict(denoise_m, train[X], train[y], cv=5))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "위의 코드는 FWL(Frisch-Waugh-Lovell) 정리($Y_i - \\mathbb{E}[Y_i\\mid X_i] = \\tau\\,(T_i - \\mathbb{E}[T_i\\mid X_i]) + \\varepsilon$)에서 $ \\mathbb{E}[Y_i\\mid X_i] $ 와 $\\mathbb{E}[T_i\\mid X_i] $를 머신러닝을 사용하여 추정합니다. \n", + "-> $Y_i - \\mathbb{E}[Y_i\\mid X_i] = \\tau\\,(T_i - \\mathbb{E}[T_i\\mid X_i]) + \\varepsilon$)에서 $\n", + "\n", + "이를 통해 Y와 T의 잔차를 추정할 때 교호작용(변수 간의 Interaction)과 비선형성을 모델링할 수 있고, 동시에 FWL 스타일의 직교화를 유지할 수 있게끔 합니다. \n", + "\n", + "변수명을 debias_m, 그리고 denoise_m이라고 지정한 이유는 무엇일까요? \n", + "\n", + "먼저 debias_m은 FWL 정리의 식에서 $T - M_t( = \\tilde{T})$부분으로, X의 모든 교란 편향이 모델에 의해 제거된 부분입니다.($M_t := \\mathbb{E}[T_i\\mid X_i]$를 머신러닝으로 추정한 모델) \n", + "즉, $\\tilde{T}$는 X에 직교하는, X로 인한 bias를 없앤 값입니다. \n", + "\n", + "마찬가지로 denoise_m은 FWL 식에서 $Y - M_y(= \\tilde{Y})$부분으로, Y에서 분산을 제거하는 부분입니다.($M_y := \\mathbb{E}[Y_i\\mid X_i]$를 머신러닝으로 추정한 모델) \n", + "즉, $\\tilde{Y}$는 X로 인한 모든 분산이 제거된 값입니다." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "위에서 구한 모델을 활용하여 최종 ATE를 구해봅시다." + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "
coef std err t P>|t| [0.025 0.975]
Intercept 0.0106 0.072 0.148 0.883 -0.131 0.152
price_res -3.9228 0.071 -54.962 0.000 -4.063 -3.783
" + ], + "text/latex": [ + "\\begin{center}\n", + "\\begin{tabular}{lcccccc}\n", + "\\toprule\n", + " & \\textbf{coef} & \\textbf{std err} & \\textbf{t} & \\textbf{P$> |$t$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", + "\\midrule\n", + "\\textbf{Intercept} & 0.0106 & 0.072 & 0.148 & 0.883 & -0.131 & 0.152 \\\\\n", + "\\textbf{price\\_res} & -3.9228 & 0.071 & -54.962 & 0.000 & -4.063 & -3.783 \\\\\n", + "\\bottomrule\n", + "\\end{tabular}\n", + "\\end{center}" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import statsmodels.formula.api as smf\n", + "\n", + "final_model = smf.ols(formula='sales_res ~ price_res', data=train_pred).fit()\n", + "final_model.summary().tables[1]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "위와 같이 최종 ATE 추정 시에는 간단하게 선형으로 ATE를 추정할 수 있습니다. \n", + " \n", + "하지만 이는 결국 True Y값이 비선형적인 모습을 띄고 있다면 ATE를 제대로 추정하지 못하게 되는 단점을 가지고 있습니다. \n", + "\n", + "그래서 우리는 비모수 이중/탈편향 기계학습 방법을 통해 최종 모델까지도 비선형 ML을 사용하는 방법을 알아볼 것입니다." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### 비모수 이중/탈편향 기계학습" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, { "cell_type": "markdown", "metadata": {}, @@ -33,7 +1981,7 @@ ], "metadata": { "kernelspec": { - "display_name": "base", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -47,9 +1995,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.12.7" + "version": "3.9.6" } }, "nbformat": 4, - "nbformat_minor": 2 + "nbformat_minor": 4 } diff --git a/book/data/.DS_Store b/book/data/.DS_Store new file mode 100644 index 0000000..e066a8d Binary files /dev/null and b/book/data/.DS_Store differ diff --git a/book/data/matheus_data/.DS_Store b/book/data/matheus_data/.DS_Store new file mode 100644 index 0000000..a5cc46f Binary files /dev/null and b/book/data/matheus_data/.DS_Store differ diff --git a/book/data/matheus_data/offline_mkt_staggered.csv b/book/data/matheus_data/offline_mkt_staggered.csv new file mode 100644 index 0000000..fa046ce --- /dev/null +++ b/book/data/matheus_data/offline_mkt_staggered.csv @@ -0,0 +1,18401 @@ +date,city,region,cohort,treated,tau,downloads,post +2021-05-01,1,W,2021-06-20,1,0.0,27.0,0 +2021-05-02,1,W,2021-06-20,1,0.0,28.0,0 +2021-05-03,1,W,2021-06-20,1,0.0,28.0,0 +2021-05-04,1,W,2021-06-20,1,0.0,26.0,0 +2021-05-05,1,W,2021-06-20,1,0.0,28.0,0 +2021-05-06,1,W,2021-06-20,1,0.0,29.0,0 +2021-05-07,1,W,2021-06-20,1,0.0,28.0,0 +2021-05-08,1,W,2021-06-20,1,0.0,29.0,0 +2021-05-09,1,W,2021-06-20,1,0.0,30.0,0 +2021-05-10,1,W,2021-06-20,1,0.0,29.0,0 +2021-05-11,1,W,2021-06-20,1,0.0,29.0,0 +2021-05-12,1,W,2021-06-20,1,0.0,28.0,0 +2021-05-13,1,W,2021-06-20,1,0.0,29.0,0 +2021-05-14,1,W,2021-06-20,1,0.0,29.0,0 +2021-05-15,1,W,2021-06-20,1,0.0,29.0,0 +2021-05-16,1,W,2021-06-20,1,0.0,29.0,0 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