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..ceeacb2 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 +10,4282 @@ }, { "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, + "id": "f1cc97bd", + "metadata": {}, + "outputs": [], + "source": [ + "!pip install toolz" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "87e93136", + "metadata": {}, + "outputs": [], + "source": [ + "!pip install lightgbm" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c2f45002", + "metadata": {}, + "outputs": [], + "source": [ + "!pip install doubleml" + ] + }, + { + "cell_type": "markdown", + "id": "3caf5c69", + "metadata": {}, + "source": [ + "## 가상환경 정보" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7da54cf1", + "metadata": {}, + "outputs": [], + "source": [ + "!python --version" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2958a91c", + "metadata": {}, + "outputs": [], + "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", + "start_time": "2024-01-20T14:39:09.554340Z" + } + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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datecityregiontreatedtaudownloadspost
02021-05-015S00.051.00
12021-05-025S00.051.00
22021-05-035S00.051.00
32021-05-045S00.050.00
42021-05-055S00.049.00
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" + ], + "text/plain": [ + " date city region treated tau downloads post\n", + "0 2021-05-01 5 S 0 0.0 51.0 0\n", + "1 2021-05-02 5 S 0 0.0 51.0 0\n", + "2 2021-05-03 5 S 0 0.0 51.0 0\n", + "3 2021-05-04 5 S 0 0.0 50.0 0\n", + "4 2021-05-05 5 S 0 0.0 49.0 0" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "\n", + "\n", + "mkt_data = (pd.read_csv(\"../data/matheus_data/short_offline_mkt_south.csv\")\n", + " .astype({\"date\":\"datetime64[ns]\"}))\n", + "\n", + "\n", + "\n", + "\n", + "mkt_data.head()" + ] + }, + { + "cell_type": "markdown", + "id": "c2faf93a", + "metadata": {}, + "source": [ + "위 데이터는 남부 지역에서 온라인 마케팅 캠페인을 집행했을 때, 사용자가 실제로 해당 광고를 보고 앱을 다운로드했는지를 관찰한 자료입니다.\n", + "일반적으로 마케팅 업계에서는 이러한 지역 단위 실험(Regional Experiment) 설계를 자주 활용합니다.\n", + "즉, 일부 지역(실험군, treatment group)에서는 마케팅 캠페인을 진행하고, 다른 지역(통제군, control group)에서는 캠페인을 진행하지 않은 채로 두 집단의 변화를 비교하는 방식입니다.\n", + "\n", + "이런 설계는 단순히 시점별 평균 차이만 비교하는 것보다 더 엄밀하게 마케팅의 실제 효과(causal effect) 를 추정할 수 있습니다.\n", + "특히 패널 데이터(panel data) 를 활용하면,\n", + "같은 지역의 처치 전(before treatment) 과 처치 후(after treatment) 변화를 모두 관측할 수 있기 때문에,\n", + "지역별 고유한 특성(예: 인구 규모, 경제 수준 등)을 통제하면서 시점별 변화만을 비교할 수 있습니다.\n", + "\n", + "이때 주로 사용하는 분석 방법이 차분의 차분(Difference-in-Differences, DiD) 입니다.\n", + "DiD는 “처치 지역에서의 전후 변화 - 비처치 지역에서의 전후 변화”를 계산함으로써,\n", + "단순한 시간 효과나 지역 차이를 제거하고 마케팅 캠페인 자체의 순수한 효과를 추정할 수 있게 해줍니다.\n", + "\n", + "그럼 DiD를 추정하는 다양한 관점 및 방법에 대해 알아보도록 하겠습니다.\n" + ] + }, + { + "cell_type": "markdown", + "id": "d7b53c33", + "metadata": {}, + "source": [ + "처치 개입 전후 기간 확인" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "3d6cdba1", + "metadata": { + "ExecuteTime": { + "end_time": "2024-01-20T14:39:09.608185Z", + "start_time": "2024-01-20T14:39:09.594150Z" + } + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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date
minmax
w
02021-05-012021-06-01
12021-05-152021-06-01
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" + ], + "text/plain": [ + " date \n", + " min max\n", + "w \n", + "0 2021-05-01 2021-06-01\n", + "1 2021-05-15 2021-06-01" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(mkt_data\n", + " .assign(w = lambda d: d[\"treated\"]*d[\"post\"])\n", + " .groupby([\"w\"])\n", + " .agg({\"date\":[min, max]}))" + ] + }, + { + "cell_type": "markdown", + "id": "65e743f3", + "metadata": {}, + "source": [ + "처치 개입전 기간은 2021-05-01~2021-05-15이며 처치 후 기간은 2021-05-15~2021-06-01입니다. " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "355d9c2c", + "metadata": { + "ExecuteTime": { + "end_time": "2024-01-20T14:39:09.622154Z", + "start_time": "2024-01-20T14:39:09.611867Z" + } + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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downloadsdate
treatedpost
0050.3350342021-05-01
150.5568782021-05-15
1050.9444442021-05-01
151.8580252021-05-15
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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": [ + "\n", + "### 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. 즉, 자금까지는 서부지역에 국한하여 처치효과를 알아봤다면 이번엔 전체 지역에 확장하여 알아보겠습니다.\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": 76, + "id": "00aefefa", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(['W', 'N', 'S', 'E'], dtype=object)" + ] + }, + "execution_count": 76, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mkt_data_all[\"region\"].unique()" + ] + }, + { + "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", + " Text(18756.0, 0, '2021-05-09'),\n", + " Text(18760.0, 0, '2021-05-13'),\n", + " Text(18764.0, 0, '2021-05-17'),\n", + " Text(18768.0, 0, '2021-05-21'),\n", + " Text(18772.0, 0, '2021-05-25'),\n", + " Text(18776.0, 0, '2021-05-29'),\n", + " Text(18779.0, 0, '2021-06-01')])" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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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": 108, + "id": "b55901ec", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 1, 3, 4, 6, 7, 10, 13, 17, 21, 26, 35, 38, 50,\n", + " 53, 54, 56, 61, 65, 66, 67, 68, 70, 77, 79, 82, 84,\n", + " 85, 90, 94, 98, 103, 114, 122, 128, 129, 132, 133, 136, 138,\n", + " 140, 143, 144, 155, 156, 169, 172, 176, 182, 184, 198, 200])" + ] + }, + "execution_count": 108, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mkt_data_cohorts.loc[mkt_data_cohorts[\"region\"]==\"W\"][\"city\"].unique()" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "id": "5bdcba1b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "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": "markdown", + "id": "067f5d6d", + "metadata": {}, + "source": [ + "서부지역에 한하여 먼저 이원고정효과 모델을 적용해보도록 하겠습니다." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "14f2b2db", + "metadata": {}, + "outputs": [], + "source": [ + "mkt_data_cohorts_w = mkt_data_cohorts.query(\"region=='W'\")" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "id": "587e6773", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt_data = (mkt_data_cohorts_w\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_w.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, 5, \"Cohort$=G_{05/15}$\", size=14)\n", + "plt.text(38, 20, \"Cohort$=G_{06/04}$\", size=14)\n", + "plt.text(55, 33, \"Cohort$=G_{06/20}$\", size=14)\n", + "plt.text(35, 40, \"Cohort$=G_{\\\\infty}$\", color=\"white\", size=14, weight=3);" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "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": 81, + "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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+ "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\n", + "- 가충치인 각 코호트의 표본 크기($T*N$)을 고려하여 위 결과를 가중평균하여 ATT를 구해보겠습니다." + ] + }, + { + "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 서부지역의 TWFE의 편향문제를 해결했습니다.\n", + "\n", + "이제 공변량으로 시간과 지역이 상호작용하는 항을 추가하여 전체지역에 대한 처치효과를 알아보도록 하겠습니다.\n", + "\n", + "이 때 방법은 여러 매개변수의 개별 효과를 평균낸 후 ATT를 구하도록 하겠습니다. " + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "id": "8642b6f0", + "metadata": {}, + "outputs": [], + "source": [ + "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": 47, + "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: Sun, 09 Nov 2025 Prob (F-statistic): 1.10e-204\n", + "Time: 14:10:24 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] : -0.343667477000822\n", + "treated:post:C(region)[T.S] : -0.98507180650041\n", + "treated:post:C(region)[T.W] : 1.369362559838747\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": 48, + "id": "43e7548a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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WUCOVNJIoLXRRL/W7UXOmRgglp9+aRkAh45DBQLrTDkPXXdAQOw2XUz8NNZ3oQNyzZ0+X1dDwTO1of/jhB7fjEKWNdR0GpZDVmdEbpqr+EtqJpXa2pmF6CmK001q7dq0b/6+zHaXFdSCKNt0biTqsauifvp/S2TogaLigFywkpTSugqakw1Ql6UHjiSeecJ0QGzRo4JaN+kDou2pnqTN+PfbOxF9++WXX/0PDXJX+1jUQVEZnqOpX8GeomUoHh8cee8y9t4bsqs66NogOTMpM/RnqyKrMlj5DQ5l1TQOl7hVw6aARbphtJAqEdNVQvaeyLWrKUkCobIiGRCc/eGvZqYlOom0eUdbDy7IkpQPZ6fRn0G9DnaA1xFbbqvpHaD1u3LjRba9aNmpm0rLSMNenn37aZcI0vFmBn4ap6n/aBkWv1zagPkFaTwq81FdHTXXqdK3lrABbZbQulc1Jjb6TtluV17VZwmXg9BtVkKNg27uSp7IyqkO4y6FrW9ZrVH8FQ6qH14lVv51wmRJ9T52gKGhRx1P9jrXc1M9JzT7qD5WUfvP6rfzZ3wH+pHQcoYJsJLUrHWpY4IUXXugmDSmUb7/9NtC5c+dA6dKlA3ny5AmUK1cucM0117ihrcmHgV5++eVuKOB5550XGDlyZODpp592n7Vr166Iw1Rl9+7dgW7dugVKlCjhrhCoobHJhyOmNnQu+RDPcL777rvAHXfc4b6bhpxqCG2LFi3ccN1wQ/o0bFZDcfV96tWrFxxqmbzeKhsXF+eWjZaRhvZOmjQppJyGrD700ENuiKZXTsM8tWz/7DBVj4bDqp6qr4YCahkvWrTotK7kmZyGPvbr188NHVX9tVy0HpIPgz3VMFXP8uXLA61atQoULlzYDdfUFSifeeaZFJ+7c+dONwRUV45Mq9SGqSYf5hrNMFVvOQwePDhQqVIlt51qe9WQ7X/9619uaLVHvx0tn2rVqrlyGgLepk2bwNq1a4Nlvvzyy0DTpk3d8Ex9npZbQkJCYMCAAW44p7ds9Pi5555L03fXUGgN7faGSCf9Pt6kIc26oqa2FQ1P3bRpU4r38X5r3pQ7d273e2nQoIH7/hq2nZy3rr1J24m+t77jP/7xj8CePXvC1llXEC5fvvwph1QjfXEvEmQ6OsNVdkJnSZE6Z8YanZ0pjRuuSQNnlpqWlOHQENxII5nwBzWvKJOhkSi6qFWsU7OPMpbq85X8gno4s+iDgZimDlxJKT2qNKqaWDJLcIHYoqY6pdq9u5widWqGUHOlRp5khtu167Lw6vis5lhkLDIYiGlqU1enUPUGVz8N3W1RQwt1iWwNg8wsyGBkPPWX0agYZS3Ub0FDNAGkHzp5IqZptIE6u+nCUzpIa8SAgozMFFwgNmhEjDeEWKOJAKQvMhgAAMB39MEAAAC+I8AAAAC+y3Z9MNQLWp0EdaElboIDAEDaqVeFLvGvC7klv5mkZfcAQ8GF7igIAABOj251cKqbOWa7AMO7RLQWTlrv2AcAAMxdEl4n6Wm53UK2CzC8ZhEFFwQYAABELy1dDOjkCQAAfEeAAQAAfEeAAQAAfEeAAQAAfEeAAQAAfEeAAQAAfEeAAQAAfEeAAQAAfEeAAQAAfEeAAQAAfEeAAQAAfEeAAQAAfJehNzt7/vnn3fT999+75xdddJENHTrU2rRpE/E1s2bNsocffti9pnLlyvbkk09a27Ztz2CtAQB+GLdvXEZXIcvrU6xP9sxg6F7yTzzxhK1du9bWrFljV1xxhbVv3942bdoUtvyKFSusU6dO1r17d1u/fr116NDBTZ9//vkZrzsAAIgsRyAQCFgMKV68uI0aNcoFEcl17NjR4uPjbcGCBcF5DRs2tLp169qECRPSfC/7okWL2oEDB7hdOwBkIDIYmS+DEc0xNGb6YCQmJtprr73mAohGjRqFLbNy5Upr2bJlyLzWrVu7+QAAIHZkaB8M2bhxowsojh49aoUKFbK5c+dajRo1wpbdtWuXlSpVKmSenmt+JAkJCW5KGn0BAID0leEZjKpVq9qGDRts9erVdvfdd1uXLl1s8+bNvr3/yJEjXTrHm+Li4nx7bwAAEKMBRt68ea1SpUpWv359FwzUqVPHxo0L3y5XunRp2717d8g8Pdf8SAYPHuzairxpx44dvn8HAAAQYwFGcidPngxp0khKTSmLFy8Ombdo0aKIfTYkX758riNK0gkAAGThPhjKLuiaF+XLl7fffvvNZsyYYUuXLrX33nvP/b9z585Wrlw5l9mQPn36WLNmzWz06NHWrl071ylUw1snTZqUkV8DAADEUoCxZ88eF0Ts3LnT9Y+oXbu2Cy5atWrl/r99+3bLmfOPJEvjxo1dEDJkyBB78MEH3YW25s2bZzVr1szAbwEAAGL+OhjpjetgAEBs4DoY6Y/rYAAAgCyFAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAPiOAAMAAGStAGPkyJF26aWXWuHCha1kyZLWoUMH27JlS6qvmTZtmuXIkSNkyp8//xmrMwAAiPEAY9myZXbPPffYqlWrbNGiRXb8+HG76qqrLD4+PtXXFSlSxHbu3Bmctm3bdsbqDAAATi23ZaCFCxemyE4ok7F27Vpr2rRpxNcpa1G6dOkzUEMAAJDp+2AcOHDA/S1evHiq5Q4dOmQVKlSwuLg4a9++vW3atOkM1RAAAGSqAOPkyZPWt29fa9KkidWsWTNiuapVq9qUKVNs/vz5Nn36dPe6xo0b2w8//BC2fEJCgh08eDBkAgAAWbiJJCn1xfj8889t+fLlqZZr1KiRmzwKLqpXr24TJ060xx57LGxH0uHDh6dLnQEAQAxnMHr16mULFiywJUuW2HnnnRfVa/PkyWP16tWzb775Juz/Bw8e7JpevGnHjh0+1RoAAMRkBiMQCFjv3r1t7ty5tnTpUqtYsWLU75GYmGgbN260tm3bhv1/vnz53AQAALJJgKFmkRkzZrj+FLoWxq5du9z8okWLWoECBdzjzp07W7ly5VxThzz66KPWsGFDq1Spku3fv99GjRrlhqn26NEjI78KAACIlQDj+eefd3+bN28eMn/q1KnWtWtX93j79u2WM+cfLTn79u2znj17umCkWLFiVr9+fVuxYoXVqFHjDNceAABEkiOgdopsRKNIlCFRfwxdsAsAkDHG7RuX0VXI8voU65Nhx9CY6OQJAACyFgIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAACQcQHGFVdcYfv37/e/BgAAIPsGGEuXLrVjx46lb20AAECWQBMJAADwXe5oCm/evNl27dqVapnatWv/2ToBAIDsFGBceeWVFggEUszPkSOHm6+/iYmJftYPAABk9QBj9erVdu6556ZfbQAAQPbrg1G+fHmrUKFCqlM0Ro4caZdeeqkVLlzYSpYsaR06dLAtW7ac8nWzZs2yatWqWf78+a1WrVr2zjvvRPW5AAAgC3fyXLZsmd1zzz22atUqW7RokR0/ftyuuuoqi4+Pj/iaFStWWKdOnax79+62fv16F5Ro+vzzz89o3QEAQGQ5AuE6VYTRokULe+WVV+y8886z9PLzzz+7TIYCj6ZNm4Yt07FjRxeALFiwIDivYcOGVrduXZswYcIpP+PgwYNWtGhRO3DggBUpUsTX+gMA0m7cvnEZXYUsr0+xPr6+XzTH0DRnMD788EPLmzevpSdVWIoXLx6xzMqVK61ly5Yh81q3bu3mAwCATNbJM42JjtN28uRJ69u3rzVp0sRq1qwZsZyGyZYqVSpknp5HGj6bkJDgpqTRFwAAiKE+GBqGml7UF0P9KF577TVf31cdSZXO8aa4uDhf3x8AAPzJYapVqlQ5ZZCxd+9ei1avXr1cnwo1w5yqj0fp0qVt9+7dIfP0XPPDGTx4sPXv3z8kg0GQAQBADAUYw4cPd1kAv6jZpXfv3jZ37lx3r5OKFSue8jWNGjWyxYsXu+YUj0agaH44+fLlcxMAAIjRAOOWW25xozz8bBaZMWOGzZ8/310Lw+tHoSCmQIEC7nHnzp2tXLlyrqlD+vTpY82aNbPRo0dbu3btXJPKmjVrbNKkSb7VCwAAnKE+GOnR/+L55593I0eaN29uZcqUCU4zZ84Mltm+fbvt3Lkz+Lxx48YuKFFAUadOHZs9e7bNmzcv1Y6hAAAgE44iUb+GV1991V588UWXTfDjPT1qOknupptuchMAAMjkAYaGkSa3ZMkSmzJlis2ZM8c1a1x33XV+1w8AAGT1Phjy448/2rRp02zq1Km2f/9+27dvn2uyuPnmm9N1GCsAAMiCfTDeeOMNa9u2rVWtWtU2bNjgOln+9NNPljNnTnfDMYILAAAQdQZD9wAZOHCg64CpER8AAAB/OoOhu5eOHz/err76andTMTWNAAAA/KkAY+LEiW646J133mn//ve/3XDS9u3bu5Eg4TqAAgCA7Cuqe5Ho4lddunRxt1PfuHGjXXTRRe5GY7pB2a233upGkwAAAEQVYCRVuXJlGzFihO3YscOmT59uhw8ftk6dOvlbOwAAkD2GqSanUSTXXnutm/bs2eNPrQAAQPbMYITj531KAABA5uVrgAEAACAEGAAAwHcEGAAAwHcEGAAAIGNGkRQrVizN9xrZu3fvn60TAADIDgHG2LFjg49//fVXe/zxx61169bWqFEjN2/lypX23nvv2cMPP5x+NQUAAJlGjoCu9R2FG264wVq0aGG9evUKmf/ss8/a+++/b/PmzbNYdvDgQStatKgdOHDAihQpktHVAYBsa9y+cRldhSyvT7E+GXYMjboPhjIVuuFZcpqnAAMAACDqAOOcc86x+fPnp5ivefofAABA1JcKHz58uPXo0cOWLl1qDRo0cPNWr15tCxcutBdeeCE96ggAALJ6gNG1a1erXr26Pf3008G7p+r58uXLgwEHAADI3k7rZmcKJF599VX/awMAALLvhba+/fZbGzJkiN16663BO6i+++67tmnTJr/rBwAAskOAsWzZMqtVq5brd/HGG2/YoUOH3PzPPvvMhg0blh51BAAAWT3AGDRokLvQ1qJFiyxv3rzB+VdccYWtWrXK7/oBAIDs0Adj48aNNmPGjBTzS5Ysab/88otlVxpdg/RFhgwAsnAG4+yzz7adO3emmL9+/XorV66cX/UCAADZKcC45ZZbbODAgbZr1y53A7STJ0/axx9/bPfff7917tw5fWoJAACydoAxYsQIq1atmsXFxbkOnjVq1LCmTZta48aN3cgSAACAqPtgqGOnrtg5dOhQ1x9DQUa9evWscuXK6VNDAACQ9TMYjz76qB0+fNhlMNq2bWs333yzCy6OHDni/gcAAJDzdEZLeNe+SEpBByMpAADAaQUYgUDAde5MThfaKl68OEsVAACkvQ9GsWLFXGChqUqVKiFBRmJiostq3HXXXelVTwAAkBUDjLFjx7rsxR133OGaQooWLRrS8fP888+3Ro0apVc9AQBAVgwwunTp4v5WrFjRDUnNkydPetYLAABkp2GqzZo1Cz4+evSoHTt2LOT/RYoU8admAAAg+3Ty1GiRXr16uXuPFCxY0PXNSDoBAABEHWAMGDDAPvjgA3v++ectX758NnnyZNcno2zZsvbyyy9H9V4ffvihXXvtte616jQ6b968VMsvXbo02NE06aTLlgMAgEzcRPLWW2+5QKJ58+bWrVs3u/zyy61SpUpWoUIFe/XVV+22225L83vFx8dbnTp1XMfR66+/Ps2v27JlS0hTjLIpAAAgEwcYe/futQsuuMA91kFez+Uvf/mL3X333VG9V5s2bdwULQUUuqsrAADIIk0kCi62bt3qHuumZ6+//nows3GmDvp169a1MmXKWKtWrdydXFOTkJBgBw8eDJkAAECMBRhqFtFVO2XQoEE2fvx4y58/v/Xr18/1z0hPCiomTJhgb7zxhpt0PxQ11axbty7ia0aOHOmu2eFNeg0AAIixJhIFEp6WLVval19+aWvXrnX9MGrXrm3pqWrVqm7y6Hoc3377rY0ZM8ZeeeWVsK8ZPHiw9e/fP/hcGQyCDAAAYizASE6dOzVllMsuu8yWL18e8f8a6aIJAADEeIDx6aef2pIlS2zPnj128uTJkP899dRTdiZt2LDBNZ0AAIBMHGCMGDHChgwZ4poqSpUqFXLTs3B3WU2NbpD2zTffBJ+r86gCBt2VtXz58q5548cffwxeX0P3Q9Glyi+66CJ3FVFdg0PX5PjPf/4T7dcAAACxFGCMGzfOpkyZYl27dv3TH75mzRpr0aJF8LnXV0L3PZk2bZrt3LnTtm/fHvy/Lkt+3333uaDjrLPOcn0+3n///ZD3AAAAmTDAyJkzpzVp0sSXD9cIEN2hNRIFGUk98MADbgIAAFlsmKpGkWhoKgAAgG8ZjPvvv9/atWtnF154odWoUSPFbdvnzJkT7VsCAIDsHmDce++9bgSJ+j2cc845UXfsBAAAWV/UAcZLL73krqKpLAYAAIAvfTA0hFTNIwAAAL4FGI888ogNGzbMDh8+HO1LAQBANhF1E8nTTz/t7v+hi2ydf/75KTp5pnbjMQAAkD1EHWB06NAhfWoCAACyb4Ch5hEgq3li/S8ZXYUsb1C9EhldBQCx3AcDAADAlwyGRo589dVXVqJECStWrFiq177Yu3dvWt4SAABk9wBjzJgxVrhw4eBjLq4FAAD+dIChu5t6/LiLKgAAyNqi7oORK1cu27NnT4r5v/76q/sfAABA1AFGpNurJyQkWN68ef2oEwAAyC7DVHWBLVH/i8mTJ1uhQoWC/0tMTLQPP/zQqlWrlj61BAAAWTPAUOdOL4MxYcKEkOYQZS50VU/NBwAASHOAsXXrVvdXt2mfM2eOG64KAADgSx+MJUuWhAQXah7ZsGGD7du3L9q3AgAAWVTUAUbfvn3txRdfDAYXTZs2tYsvvtji4uJs6dKl6VFHAACQ1QOMWbNmWZ06ddzjt956y77//nv78ssvrV+/fvbQQw+lRx0BAEBWDzB0vYvSpUu7x++8847ddNNNVqVKFbvjjjts48aN6VFHAACQ1QOMUqVK2ebNm13zyMKFC61Vq1Zu/uHDh7nQFgAAOL3btXfr1s1uvvlmK1OmjLsmRsuWLd381atXcx0MAABwegHGI488YjVr1rQdO3a45pF8+fK5+cpeDBo0KNq3AwAAWVDUAYbceOONqd4QDQAAZG9p7oPRtm1bO3DgQPD5E088Yfv37w/p/FmjRg3/awgAALJugPHee++5G5p5RowYYXv37g0+P3HihG3ZssX/GgIAgKwbYCS/i2qku6oCAABEPUwVAADAtwBDQ1I1JZ8HAABw2qNI1CTStWvX4LDUo0eP2l133WUFCxZ0z5P2zwAAANlbmgOM5MNQb7/99hRlOnfu7E+tAABA9ggwpk6dmr41AQAAWQadPAEAgO8IMAAAgO8IMAAAQNYKMD788EO79tprrWzZsm7I67x58075mqVLl9rFF1/sRrNUqlTJpk2bdkbqCgAAMkmAER8fb3Xq1LHx48enqfzWrVutXbt21qJFC9uwYYP17dvXevTo4S5jDgAAMvndVP3Spk0bN6XVhAkTrGLFijZ69Gj3vHr16rZ8+XIbM2aMtW7dOh1rCgAAsmwfjJUrV1rLli1D5imw0PxIdAGwgwcPhkwAACB9ZaoAY9euXVaqVKmQeXquoOHIkSNhXzNy5EgrWrRocIqLiztDtQUAIPvKVAHG6Rg8eLAdOHAgOO3YsSOjqwQAQJaXoX0wolW6dGnbvXt3yDw9L1KkiBUoUCDsazTaxLt/CgAAODMyVQajUaNGtnjx4pB5ixYtcvMBAEDsyNAA49ChQ264qSZvGKoeb9++Pdi8kfQGarp763fffWcPPPCAffnll/bcc8/Z66+/bv369cuw7wAAAGIswFizZo3Vq1fPTdK/f3/3eOjQoe75zp07g8GGaIjq22+/7bIWun6GhqtOnjyZIaoAAMSYDO2D0bx5cwsEAhH/H+4qnXrN+vXr07lmAAAg2/TBAAAAmQMBBgAA8B0BBgAA8B0BBgAA8B0BBgAA8B0BBgAA8B0BBgAA8B0BBgAA8B0BBgAA8B0BBgAA8B0BBgAA8B0BBgAA8B0BBgAA8B0BBgAA8B0BBgAA8B0BBgAA8B0BBgAA8B0BBgAA8B0BBgAA8B0BBgAA8B0BBgAA8B0BBgAA8F1u/98SAM6c48Pvy+gqZHl5ho3O6CogEyKDAQAAfEeAAQAAfEeAAQAAfEeAAQAAfEeAAQAAfEeAAQAAfEeAAQAAfEeAAQAAfEeAAQAAfEeAAQAAfEeAAQAAfEeAAQAAfEeAAQAAfEeAAQAAsmaAMX78eDv//PMtf/781qBBA/vkk08ilp02bZrlyJEjZNLrAABA7MjwAGPmzJnWv39/GzZsmK1bt87q1KljrVu3tj179kR8TZEiRWznzp3Badu2bWe0zgAAIMYDjKeeesp69uxp3bp1sxo1atiECRPsrLPOsilTpkR8jbIWpUuXDk6lSpU6o3UGAAAxHGAcO3bM1q5day1btvyjQjlzuucrV66M+LpDhw5ZhQoVLC4uztq3b2+bNm2KWDYhIcEOHjwYMgEAgCwcYPzyyy+WmJiYIgOh57t27Qr7mqpVq7rsxvz582369Ol28uRJa9y4sf3www9hy48cOdKKFi0anBSUAACALN5EEq1GjRpZ586drW7dutasWTObM2eOnXvuuTZx4sSw5QcPHmwHDhwITjt27DjjdQYAILvJnZEfXqJECcuVK5ft3r07ZL6eq29FWuTJk8fq1atn33zzTdj/58uXz00AACCbZDDy5s1r9evXt8WLFwfnqclDz5WpSAs1sWzcuNHKlCmTjjUFAACZJoMhGqLapUsXu+SSS+yyyy6zsWPHWnx8vBtVImoOKVeunOtLIY8++qg1bNjQKlWqZPv377dRo0a5Yao9evTI4G8CAABiJsDo2LGj/fzzzzZ06FDXsVN9KxYuXBjs+Ll9+3Y3ssSzb98+N6xVZYsVK+YyICtWrHBDXAEAQGzI8ABDevXq5aZwli5dGvJ8zJgxbgIAALEr040iAQAAsY8AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAA+I4AAwAAZM0AY/z48Xb++edb/vz5rUGDBvbJJ5+kWn7WrFlWrVo1V75WrVr2zjvvnLG6AgCATBBgzJw50/r372/Dhg2zdevWWZ06dax169a2Z8+esOVXrFhhnTp1su7du9v69eutQ4cObvr888/PeN0BAEB4uS2DPfXUU9azZ0/r1q2bez5hwgR7++23bcqUKTZo0KAU5ceNG2dXX321DRgwwD1/7LHHbNGiRfbss8+616ZVfHy85cqVK8V8zVNmJGm5SHLmzGkFChQIPj927FjEsjly5LA8efKkqazkzZv3tMoeP37cAoFATJfVctDykBMnTtjJkyfTVDYhIcGVj0TrQuvEW2aqR1rLHjsSeT3nzpvfcv5vWzlx/JidPHE8TWUTjx+3xBOR112uPPksV+7c0Zc9ccISjydELps7r+X637YWTdmTiYl24tjRiGVz5s5jufPkjb7syZN2IuGIxcf/8VtJvo697Udljxw5EvF9c+fObfny5XOPtY0dPnzYjh8Lvz5y58xh+f63zFzZ45G3nVw5clj+PH/sDuMjvGe0ZXPmMCuQ5HcfTdnDx45bpF+RfhFn5T29skeOH7eTkX+eVjBM2TwR9oMFCxYMPj569KglJiZGft8wZRPiw2+bec/K+8c+IuGEJZ6I/L7RlM1TIE/wd3/imH4bPpXNn8dy5oq+bOJx/Y4ib5e58+W2XLlzRV/2RKJbFhKfN+W60+/NOx5pn6p9ayRJy2qdpXZMTFEny0Dasa9du9YGDx4cnKcV2rJlS1u5cmXY12i+Mh5JKeMxb968sOW14JIuvAMHDri/ZcuWDVu+VatWNnv27ODz0qVLR9zhNWnSJNg8ox+Mgp9IZfU+Xbt2DT5/7rnn7ODBg2HLnnPOOS7o8rzwwgv266+/hi1bpEgR+/vf/x58Pm3aNNu1a1fEg2qfPn2Cz1999VXbsWNHxB35/fffH3z++uuv23fffWeRJA0G586da1u2bIlY9r777gtusAsWLEg1+3TvvffaWWed5R736tXLJk+eHLHsf//7X6tQoYJ7PGTIEHvmmWcill21apVVr17dPR45cqQ98cQTEcv2mDTXylWr4x5/PGOSvT8hctku42bY+fUausefzHnZ3h37SMSynZ58wao0utI93vDOLJv/xMCIZW8a/ozVaNHOPd685G2bNax3xLLtBz1pddve5B5/tXKx/XvgH9tScm36PmKXXd/ZPf5+/Sp7qc+tEcu2vGuQNbn1Tvf4xy8/s8l3XhexbLOu91rzO/q6x3u2fmXPd7nahkUo27t3b3v88cfd423btlnt2rUjvm+PHj1s9OjR7vEvv/xiF154YcSyHWtWtfHXtHSP44+fsAqjJ0Yse23VC2zqdW2Cz0s8MT5i2ZYXVLDXbr4m+DzuXxPsSISDWuO4svbmbX8spyrjXrS9R8IHZnVLn2vvd705+Lzecy/bjoO/hS1b5ZxitqLnH+uq8Qsz7Ktf94UtG1eksK3/e+c/6j/tdduw6+ewZYsXyG9f9ekefP7XV+faih0/mY14Juz+JOm+5sYbb3Qne5F4+17p3LmzzZ8/P2LZ4ZuHW76zfg8kX7//dVs3e13EskPWDbFCxQu5x/MenmerXlkVsewDyx+w4ucVd4/fHvG2fTTpo4hl+/6nr5WuUto9XjRmkS0etzhi2Xvm32NxdeLc42UTltm7T7wbsWzP13rahQ1/325XvLzC3hz6ZsSyXaZ0sepX/L6fWjNrjc0e8MexKblbx99qtdv9/tv579v/tRn3zHCPB1rK/YqOP7fddpt7/N5779nNN/+x3SU3atQou/PO33/3H330kV1zze/bfmonkUGBDPTjjz+qhoEVK1aEzB8wYEDgsssuC/uaPHnyBGbMmBEyb/z48YGSJUuGLT9s2DD3GUxMTExMTEzmy7Rjx45THuMzvIkkvSk7kjTjoRTs3r17XZbAS6tlR8qexMXFuQyGsiDIPFh3mRfrLnNj/ZnLXPz2228RWwGSytAAo0SJEq7Pw+7du0Pm67maFMLR/GjKq73Wa7P1nH322X+67lmFfiTZ9YeS2bHuMi/WXeaW3ddf0aJFY38UiTqP1K9f3xYvXhySYdDzRo0ahX2N5ictL2r3i1QeAACceRneRKLmiy5dutgll1xil112mY0dO9b1UvVGlagzULly5VxHPFEnxWbNmrmOXu3atbPXXnvN1qxZY5MmTcrgbwIAAGImwOjYsaP9/PPPNnToUNcjuW7durZw4UIrVaqU+//27duDQ4WkcePGNmPGDDdK4MEHH7TKlSu7ESQ1a9bMwG+R+ajZSNceSd58hNjHusu8WHeZG+svOjnU0zPK1wAAAMT2lTwBAEDWQ4ABAAB8R4ABAAB8R4CBELqrrUbyeHQxskiXYQcAIBICjBiie5XogO5Nutqobuyme2xklJ07d1qbNn/cowEZu20kv2eKgr/sfEXazESj5e6++24rX768G4WgiwPqPkoff/xxRlcNyejGmYULFw65ueKhQ4fcPZSaN28eUnbp0qXuN/jtt99mQE1jGwFGjFFAoYO6Jl1QTDcd824ukxG0E2RIVmzQXX6ffPJJ27cv/E2tENtuuOEGW79+vb300kv21Vdf2ZtvvukOVpFuZIiM06JFCxdQ6BpLHt3oS/vD1atXu5tbepYsWeKCxtRuvJddEWDEGO/MRpOuCaK7lOq69zr7kYEDB1qVKlXcHUYvuOACe/jhh0NuS/7ZZ5+5H4eib13KVldKTfojWb58uV1++eXuToi6pr7uVpra7XeTNpF8//337vmcOXPcZ6gOderUSXHn22g/A2mjuwxru/AuOofMY//+/e4ApQBRvx3d9VcXFtS9kv76179mdPWQTNWqVa1MmTIuO+HR4/bt21vFihXd3ZiTztc6RUoEGDFMEfT06dOtUqVKrrlEFDjoluybN292t4fXrdzHjBkTfI1uwXveeefZp59+amvXrnUBindrdKXwlCHRmZSaXWbOnOmCAd0GPRoPPfSQu5X7hg0bXLDTqVOnYCrRr89ASrpvz4gRI9xt6H/44YeMrg6iUKhQITcpWE9ISMjo6iANFDQoO+HRY2WcdCVpb/6RI0dcRoMAI4Jobq+O9NWlS5dArly5AgULFnSTVk+ZMmUCa9eujfiaUaNGBerXrx98Xrhw4cC0adPClu3evXvgzjvvDJn30UcfBXLmzBk4cuSIe16hQoXAmDFjgv9XHebOneseb9261T2fPHly8P+bNm1y87744os0fwZOb9to3769e9ywYcPAHXfc4R5r3fAzzhxmz54dKFasWCB//vyBxo0bBwYPHhz47LPPMrpaiOCFF15w++Hjx48HDh48GMidO3dgz549gRkzZgSaNm3qyixevNj9/rZt25bR1Y1JZDBijCJhZQY0ffLJJ64TmDpZbtu2zf1fGYEmTZq4VLnOiHTJdF1OPem9XXr06OHS6eoQmLTjkZpPlP3wzqY06f11g7mtW7emuY61a9cOPlYaUfbs2ePrZyAypdnVjv/FF19kdFUQBWX1fvrpJ9f3Qlk+pdYvvvhi93tB7FG2Qk27ygareUvZ2nPPPddlMLx+GFqHaqpWHwykRIARYwoWLOiaRDRdeumlNnnyZLeRqylEfR3UBNK2bVtbsGCB6zCm5opjx44FX//II4/Ypk2b3I3gPvjgA6tRo4bNnTs32OTyt7/9LRjAaFJA8PXXX0fVQclrchFvBIMCCD8/A5E1bdrUBW1qv0fm66jbqlUr13dqxYoVbnSQ7m2B2KN9sJqb1RyiSYGFlC1b1vUt0/rT/CuuuCKjqxqzMvxmZ0idDuC62Zva+rRBq3OYggqPl9lISpG2pn79+rn+EVOnTrXrrrvOnS2p74Z+OOnlTHwGzGWn1AlYndGQeekEgOvMxHZGWVkKjdwaMGBASJD/7rvvuiyzhh4jPDIYMUYdwHRXWU1Kgffu3dtlBa699lp351g1h+gW9Wr6ePrpp4PZCVEQos6U+kEo8ND4eqX3qlevHhyBoiBFZZRZUFZh/vz5vnbAPBOfAbNatWq5bJa2AcQ+DUXVma46bavzs5oLZ82aZf/85z/dyATEboChTural3kZDNHjiRMnuuwxHTwjI4MRY3Sreq9fg0aMVKtWze2IvIu7KCuhg7UCETWDKNWqZhFvlIF2ZJ07d7bdu3dbiRIl7Prrr7fhw4cH+04sW7bMZUA0jFR9ONVs0bFjR9/qfyY+A7979NFHXZ8cxD71RWrQoIEb8aWTAw0tV5q9Z8+e9uCDD2Z09RCBggeduGk/XKpUqZAA47fffgsOZ0V43K4dAAD4jiYSAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAADgOwIMAABgfvt/lBjuCAvWptIAAAAASUVORK5CYII=", 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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": 49, + "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": 49, + "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": 65, + "id": "80374c05", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "처치가 시작된 날: 2021-05-15 00:00:00\n" + ] + } + ], + "source": [ + "print(\"처치가 시작된 날:\",mkt_data_all.loc[mkt_data_all[\"post\"]==1].min()[\"date\"] )" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "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", + "\n", + "\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": 52, + "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": 57, + "id": "aff4394f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "======================================================================\n", + "Part 1: 전체 ATT 추정 (Canonical DML-DiD)\n", + "======================================================================\n", + "공변량 개수: 1 선택된 공변량 : ['city']\n", + "샘플 크기: 6400\n", + "유닛 수(region): 4, 시점 수: 32\n", + "처치 관측 수(1): 1376, 대조 관측 수(0): 5024\n", + "\n", + "======================================================================\n", + "추정 결과 (Canonical DML-DiD)\n", + "======================================================================\n", + " coef std err t P>|t| 2.5 % 97.5 %\n", + "treated 1.041638 0.410002 2.540567 0.011067 0.238049 1.845228\n", + "\n", + "ATT: 1.0416\n", + "표준오차: 0.4100\n", + "95% CI: [0.2380, 1.8452]\n", + "\n", + "True ATT: 1.7209\n", + "Bias: -0.6793\n" + ] + } + ], + "source": [ + "# Part 1: 전체 ATT 추정 (Canonical DML-DiD)\n", + "\n", + "# 0) 준비\n", + "from doubleml.data import DoubleMLPanelData\n", + "from doubleml import DoubleMLDID\n", + "from sklearn.ensemble import RandomForestRegressor, RandomForestClassifier\n", + "\n", + "print(\"=\" * 70)\n", + "print(\"Part 1: 전체 ATT 추정 (Canonical DML-DiD)\")\n", + "print(\"=\" * 70)\n", + "\n", + "# 1) 원본에서 시작 (id/time 더미화 금지!)\n", + "df = mkt_data_all.copy()\n", + "\n", + "# date가 datetime이 아니면 변환\n", + "df['date'] = pd.to_datetime(df['date'])\n", + "\n", + "# 2) 정수형 시점 인덱스 t 만들기 (정렬된 고유 날짜 기준 0,1,2,...)\n", + "unique_dates = sorted(df['date'].unique())\n", + "t_map = {d: i for i, d in enumerate(unique_dates)}\n", + "df['t'] = df['date'].map(t_map).astype(int)\n", + "\n", + "# 3) 공변량 선택\n", + "\n", + "# - 결과/처치/식별자/시점/보조열(post, tau 등) 제외\n", + "drop_cols = {'downloads', 'treated', 'region', 'date', 't', 'post', 'tau'}\n", + "x_cols = [c for c in df.columns if c not in drop_cols]\n", + "\n", + "print(f\"공변량 개수: {len(x_cols)}\",f\"선택된 공변량 : {x_cols}\")\n", + "\n", + "print(f\"샘플 크기: {len(df)}\")\n", + "print(f\"유닛 수(region): {df['region'].nunique()}, 시점 수: {df['t'].nunique()}\")\n", + "print(f\"처치 관측 수(1): {(df['treated']==1).sum()}, 대조 관측 수(0): {(df['treated']==0).sum()}\")\n", + "\n", + "# 4) DoubleMLPanelData 구성\n", + "mkt_dml_data = DoubleMLPanelData(\n", + " data=df,\n", + " y_col='downloads', # 종속변수\n", + " d_cols='treated', # 시점별 처치여부(0/1) -> canonical DML-DiD\n", + " id_col='region', # 유닛 식별자 (더미화 금지)\n", + " t_col='t', # 정수형 시점\n", + " x_cols=x_cols # 사전 통제변수\n", + " # 정수 t를 쓰므로 datetime_unit 생략 (date를 t_col로 쓸 때만 'd','M' 등 지정)\n", + ")\n", + "\n", + "# 5) Learners (canonical DML-DiD)\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", + "# 6) Canonical DML-DiD (전체 ATT)\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", + "# 7) 추정 실행\n", + "dml_did.fit()\n", + "\n", + "# 8) 결과 출력\n", + "print(\"\\n\" + \"=\" * 70)\n", + "print(\"추정 결과 (Canonical DML-DiD)\")\n", + "print(\"=\" * 70)\n", + "print(dml_did.summary)\n", + "\n", + "att = float(dml_did.coef[0])\n", + "se = float(dml_did.se[0])\n", + "confint = dml_did.confint(level=0.95)\n", + "\n", + "print(f\"\\nATT: {att:.4f}\")\n", + "print(f\"표준오차: {se:.4f}\")\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', 'post', 'treated'}.issubset(df.columns):\n", + " true_att = df.loc[(df['treated'] == 1) & (df['post'] == 1), 'tau'].mean()\n", + " print(f\"\\nTrue ATT: {true_att:.4f}\")\n", + " print(f\"Bias: {att - true_att:.4f}\")" + ] + }, + { + "cell_type": "markdown", + "id": "769389cf", + "metadata": {}, + "source": [ + "##### Dynamic DML-DiD" + ] + }, + { + "cell_type": "markdown", + "id": "478bc3f6", + "metadata": {}, + "source": [ + "먼저 DML-DiD를 구하기 위해 DoubleMLPanelData 객체를 생성하기 전, 데이터를 DoubleML이 인식 가능한 형태로 변환을 하도록 하겠습니다.\n", + "\n", + "DoubleMLPanelData는 t_col(시간)과 d_cols(처치시점)이 숫자형이어야 합니다.\n", + "\t•\t날짜(2021-06-20)를 하이픈 제거 후 20210620.0 형식의 float 값으로 변환.\n", + "\t•\tnever-treated 집단(2100-01-01) 은 실제 존재하지 않는 미래 시점이므로\n", + "np.inf로 치환해 “끝까지 처치받지 않은 집단”으로 구분하도록 하겠습니다." + ] + }, + { + "cell_type": "code", + "execution_count": 237, + "id": "8824f7ca", + "metadata": {}, "outputs": [], "source": [ - "import pandas as pd\n", "\n", - "# comment" + "# Set values for treatment group indicator for never-treated to np.inf\n", + "dynamic_df = mkt_data_cohorts.copy(deep=True)\n", + "\n", + "# 날짜와 코호트를 숫자로 변환 (하이픈 제거)\n", + "dynamic_df[\"date_num\"] = dynamic_df[\"date\"].astype(str).str.replace(\"-\", \"\").astype(float)\n", + "dynamic_df[\"cohort_num\"] = dynamic_df[\"cohort\"].astype(str).str.replace(\"-\", \"\")\n", + "dynamic_df[\"cohort_num\"] = dynamic_df[\"cohort_num\"].replace(\"21000101\", np.inf).astype(float)\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "199ddf14", + "metadata": {}, + "source": [ + "범주형 지역 코드를 숫자로 변환 (W→1, N→2, S→3, E→4) 하여 ML 기반 머신러닝(RandomForest 등)에 입력 가능하도록 하겠습니다.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 238, + "id": "60bc2744", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "================== DoubleMLPanelData Object ==================\n", + "\n", + "------------------ Data summary ------------------\n", + "Outcome variable: downloads\n", + "Treatment variable(s): ['cohort_num']\n", + "Covariates: ['region_numeric']\n", + "Instrument variable(s): None\n", + "Time variable: date_num\n", + "Id variable: city\n", + "No. Unique Ids: 200\n", + "No. Observations: 18400\n", + "\n", + "------------------ DataFrame info ------------------\n", + "\n", + "RangeIndex: 18400 entries, 0 to 18399\n", + "Columns: 11 entries, date to region_numeric\n", + "dtypes: datetime64[ns](2), float64(4), int64(4), object(1)\n", + "memory usage: 1.5+ MB\n", + "\n" + ] + } + ], + "source": [ + "\n", + "dynamic_df[\"region_numeric\"] = dynamic_df[\"region\"].map({\n", + " \"W\": 1,\n", + " \"N\": 2,\n", + " \"S\": 3,\n", + " \"E\": 4\n", + "})\n", + "\n", + "\n", + "\n", + "dml_data = DoubleMLPanelData(\n", + " data=dynamic_df,\n", + " y_col=\"downloads\",\n", + " d_cols=\"cohort_num\",\n", + " id_col=\"city\",\n", + " t_col=\"date_num\",\n", + " x_cols=['region_numeric']\n", + ")\n", + "print(dml_data)\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 208, + "id": "f527ac40", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " coef std err t \\\n", + "ATT(20210515.0,20210501.0,20210502.0) 0.113462 0.187135 0.606311 \n", + "ATT(20210515.0,20210502.0,20210503.0) 0.047835 0.203737 0.234788 \n", + "ATT(20210515.0,20210503.0,20210504.0) -0.208695 0.207279 -1.006830 \n", + "ATT(20210515.0,20210504.0,20210505.0) -0.004091 0.178870 -0.022869 \n", + "ATT(20210515.0,20210505.0,20210506.0) 0.169350 0.183566 0.922553 \n", + "... ... ... ... \n", + "ATT(20210620.0,20210619.0,20210727.0) 3.083385 0.554611 5.559548 \n", + "ATT(20210620.0,20210619.0,20210728.0) 3.000912 0.526801 5.696476 \n", + "ATT(20210620.0,20210619.0,20210729.0) 2.814900 0.526585 5.345581 \n", + "ATT(20210620.0,20210619.0,20210730.0) 2.512955 0.578867 4.341164 \n", + "ATT(20210620.0,20210619.0,20210731.0) 2.628038 0.587708 4.471672 \n", + "\n", + " P>|t| 2.5 % 97.5 % \n", + "ATT(20210515.0,20210501.0,20210502.0) 5.443082e-01 -0.253316 0.480240 \n", + "ATT(20210515.0,20210502.0,20210503.0) 8.143729e-01 -0.351482 0.447152 \n", + "ATT(20210515.0,20210503.0,20210504.0) 3.140164e-01 -0.614955 0.197565 \n", + "ATT(20210515.0,20210504.0,20210505.0) 9.817549e-01 -0.354670 0.346488 \n", + "ATT(20210515.0,20210505.0,20210506.0) 3.562401e-01 -0.190434 0.529133 \n", + "... ... ... ... \n", + "ATT(20210620.0,20210619.0,20210727.0) 2.704741e-08 1.996368 4.170402 \n", + "ATT(20210620.0,20210619.0,20210728.0) 1.223090e-08 1.968400 4.033424 \n", + "ATT(20210620.0,20210619.0,20210729.0) 9.012772e-08 1.782813 3.846987 \n", + "ATT(20210620.0,20210619.0,20210730.0) 1.417298e-05 1.378397 3.647512 \n", + "ATT(20210620.0,20210619.0,20210731.0) 7.761038e-06 1.476151 3.779924 \n", + "\n", + "[273 rows x 6 columns]\n" + ] + } + ], + "source": [ + "\n", + "\n", + "from doubleml.did import DoubleMLDIDMulti\n", + "\n", + "\n", + "dml_obj = DoubleMLDIDMulti(\n", + " obj_dml_data=dml_data,\n", + " ml_g=RandomForestRegressor(max_depth=3, n_estimators=100, random_state=42),\n", + " ml_m=RandomForestClassifier(max_depth=3, n_estimators=100, random_state=42),\n", + " control_group=\"not_yet_treated\",\n", + " n_folds=5\n", + ")\n", + "dml_obj.fit()\n", + "\n", + "\n", + "print(dml_obj.summary)\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "76844d30", + "metadata": {}, + "source": [ + "Dynamic DiD 신뢰구간 계산" + ] + }, + { + "cell_type": "code", + "execution_count": 209, + "id": "42f9630e", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 2.5 % 97.5 %\n", + "ATT(20210515.0,20210501.0,20210502.0) -0.553618 0.780542\n", + "ATT(20210515.0,20210502.0,20210503.0) -0.678425 0.774095\n", + "ATT(20210515.0,20210503.0,20210504.0) -0.947583 0.530193\n", + "ATT(20210515.0,20210504.0,20210505.0) -0.641708 0.633527\n", + "ATT(20210515.0,20210505.0,20210506.0) -0.485008 0.823707\n", + "... ... ...\n", + "ATT(20210620.0,20210619.0,20210727.0) 1.106367 5.060404\n", + "ATT(20210620.0,20210619.0,20210728.0) 1.123025 4.878799\n", + "ATT(20210620.0,20210619.0,20210729.0) 0.937786 4.692014\n", + "ATT(20210620.0,20210619.0,20210730.0) 0.449472 4.576438\n", + "ATT(20210620.0,20210619.0,20210731.0) 0.533037 4.723038\n", + "\n", + "[273 rows x 2 columns]\n" + ] + } + ], + "source": [ + "level = 0.95\n", + "\n", + "ci = dml_obj.confint(level=level)\n", + "dml_obj.bootstrap(n_rep_boot=5000)\n", + "ci_joint = dml_obj.confint(level=level, joint=True)\n", + "print(ci_joint)" + ] + }, + { + "cell_type": "code", + "execution_count": 214, + "id": "2a2d6c43", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "fig, axes = dml_obj.plot_effects(title=\"Estimated ATTs by Group\")\n", + "\n", + "# 1️⃣ 날짜 매핑 딕셔너리\n", + "date_map = dict(zip(dynamic_df[\"date_num\"].astype(float), dynamic_df[\"date\"].astype(str)))\n", + "\n", + "# 2️⃣ 보정용 키 리스트\n", + "keys = np.array(list(date_map.keys()))\n", + "\n", + "# 3️⃣ 각 subplot에 대해 x축 레이블 설정\n", + "for ax in axes:\n", + " xticks = ax.get_xticks()\n", + " labels = []\n", + " for x in xticks:\n", + " # 가장 가까운 키(날짜 번호) 찾기\n", + " nearest_key = keys[np.argmin(np.abs(keys - x))]\n", + " labels.append(date_map[nearest_key])\n", + " ax.set_xticklabels(labels, rotation=45, ha=\"right\")\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "2b188722", + "metadata": {}, + "source": [ + "**Event Study Aggregation**\n", + "\n", + "Staggered DiD구조에서는 각 집단이 서로 다른 시점에 처치를 받기 때문에, 단순히 하나의 평균 ATT(평균 처치효과)만으로는 정책 효과의 시간적 변화를 해석하기 어렵습니다. 따라서 DoubleML에서는 did-R 패키지(Callaway & Sant’Anna, 2021)의 구조를 따라, aggregate(\"eventstudy\") 옵션을 통해 Dynamic DiD시점으로 데이터를 바라봐 각 코호트의 결과를 처치 시점을 기준으로 재정렬하여 “처치 전·후 상대적 시점(exposure time)”별로 평균화하는 기능을 제공합니다.\n", + "\n", + "이를 통해 정책 효과가 시점에 따라 어떻게 변화하는지를 직관적으로 확인할 수 있습니다." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3e04a9d8", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "================== DoubleMLDIDAggregation Object ==================\n", + " Event Study Aggregation \n", + "\n", + "------------------ Overall Aggregated Effects ------------------\n", + " coef std err t P>|t| 2.5 % 97.5 %\n", + "2.133237 0.194685 10.957394 0.0 1.751662 2.514812\n", + "------------------ Aggregated Effects ------------------\n", + " coef std err t P>|t| 2.5 % 97.5 %\n", + "-118.0 -0.175253 0.203902 -0.859496 3.900672e-01 -0.574894 0.224388\n", + "-117.0 0.003577 0.218976 0.016334 9.869683e-01 -0.425609 0.432762\n", + "-116.0 0.104438 0.207202 0.504040 6.142335e-01 -0.301670 0.510546\n", + "-115.0 0.269178 0.192924 1.395258 1.629382e-01 -0.108945 0.647302\n", + "-114.0 -0.400133 0.173853 -2.301564 2.135979e-02 -0.740878 -0.059388\n", + "-113.0 -0.124440 0.216674 -0.574320 5.657515e-01 -0.549112 0.300232\n", + "-112.0 -0.101301 0.213121 -0.475320 6.345587e-01 -0.519010 0.316408\n", + "-111.0 0.453398 0.188682 2.402969 1.626257e-02 0.083587 0.823209\n", + "-110.0 0.026918 0.180846 0.148847 8.816746e-01 -0.327533 0.381370\n", + "-109.0 -0.138248 0.195934 -0.705586 4.804458e-01 -0.522272 0.245776\n", + "-108.0 0.098615 0.187208 0.526766 5.983558e-01 -0.268307 0.465537\n", + "-107.0 0.125270 0.213359 0.587133 5.571143e-01 -0.292906 0.543446\n", + "-106.0 -0.286060 0.171872 -1.664373 9.603784e-02 -0.622923 0.050804\n", + "-105.0 0.377167 0.192436 1.959957 5.000080e-02 -0.000001 0.754335\n", + "-104.0 -0.144513 0.200980 -0.719039 4.721167e-01 -0.538427 0.249401\n", + "-103.0 -0.242945 0.192466 -1.262275 2.068498e-01 -0.620172 0.134282\n", + "-102.0 0.017155 0.141572 0.121176 9.035514e-01 -0.260321 0.294632\n", + "-101.0 -0.077895 0.154051 -0.505642 6.131082e-01 -0.379829 0.224040\n", + "-100.0 0.219600 0.161627 1.358689 1.742452e-01 -0.097182 0.536383\n", + "-99.0 -0.295215 0.145667 -2.026647 4.269849e-02 -0.580717 -0.009714\n", + "-98.0 0.126548 0.131119 0.965141 3.344744e-01 -0.130440 0.383536\n", + "-97.0 0.033790 0.144290 0.234183 8.148428e-01 -0.249012 0.316593\n", + "-96.0 -0.086475 0.141056 -0.613058 5.398383e-01 -0.362939 0.189989\n", + "-95.0 0.176240 0.134806 1.307356 1.910918e-01 -0.087976 0.440456\n", + "-94.0 -0.161809 0.143081 -1.130891 2.581010e-01 -0.442242 0.118624\n", + "-93.0 0.004054 0.145816 0.027801 9.778212e-01 -0.281741 0.289849\n", + "-92.0 0.089464 0.151248 0.591504 5.541827e-01 -0.206976 0.385903\n", + "-91.0 -0.221629 0.141554 -1.565689 1.174215e-01 -0.499069 0.055811\n", + "-90.0 0.236631 0.128162 1.846344 6.484232e-02 -0.014562 0.487824\n", + "-89.0 -0.249907 0.135028 -1.850777 6.420159e-02 -0.514556 0.014743\n", + "-88.0 0.039921 0.193329 0.206491 8.364074e-01 -0.338997 0.418839\n", + "-87.0 0.333704 0.197294 1.691400 9.076040e-02 -0.052986 0.720394\n", + "-86.0 -0.207899 0.223686 -0.929424 3.526692e-01 -0.646315 0.230517\n", + "-85.0 0.254268 0.216567 1.174085 2.403608e-01 -0.170195 0.678731\n", + "-84.0 -0.282188 0.221205 -1.275687 2.020663e-01 -0.715742 0.151366\n", + "-83.0 0.108325 0.216018 0.501464 6.160448e-01 -0.315062 0.531712\n", + "-82.0 -0.087008 0.194805 -0.446641 6.551341e-01 -0.468818 0.294802\n", + "-81.0 -0.291397 0.214178 -1.360540 1.736592e-01 -0.711177 0.128383\n", + "-80.0 0.300083 0.207374 1.447066 1.478784e-01 -0.106361 0.706528\n", + "-79.0 0.080753 0.193483 0.417363 6.764126e-01 -0.298466 0.459972\n", + "-78.0 -0.278985 0.200186 -1.393630 1.634294e-01 -0.671341 0.113372\n", + "-77.0 0.412305 0.228071 1.807793 7.063876e-02 -0.034706 0.859315\n", + "-76.0 -0.253572 0.220167 -1.151729 2.494325e-01 -0.685092 0.177947\n", + "-75.0 0.268911 0.225551 1.192237 2.331683e-01 -0.173162 0.710983\n", + "-74.0 -0.396837 0.196347 -2.021098 4.326959e-02 -0.781670 -0.012004\n", + "-73.0 0.241767 0.201326 1.200873 2.298006e-01 -0.152825 0.636360\n", + "-19.0 -0.034599 0.222717 -0.155348 8.765473e-01 -0.471117 0.401920\n", + "-18.0 -0.133960 0.222527 -0.601996 5.471766e-01 -0.570105 0.302184\n", + "-17.0 -0.219070 0.231594 -0.945921 3.441889e-01 -0.672986 0.234846\n", + "-16.0 -0.068694 0.258708 -0.265529 7.906020e-01 -0.575752 0.438363\n", + "-15.0 0.411098 0.295330 1.391994 1.639243e-01 -0.167739 0.989935\n", + "-14.0 -0.405947 0.279921 -1.450221 1.469969e-01 -0.954581 0.142688\n", + "-13.0 0.075402 0.152132 0.495631 6.201544e-01 -0.222772 0.373575\n", + "-12.0 0.123958 0.161386 0.768080 4.424394e-01 -0.192353 0.440268\n", + "-11.0 -0.094140 0.163363 -0.576263 5.644377e-01 -0.414324 0.226045\n", + "-10.0 -0.069105 0.144201 -0.479225 6.317786e-01 -0.351734 0.213524\n", + "-9.0 0.240989 0.162943 1.478975 1.391471e-01 -0.078374 0.560352\n", + "-8.0 0.077976 0.164241 0.474767 6.349534e-01 -0.243930 0.399882\n", + "-7.0 0.059023 0.160319 0.368159 7.127544e-01 -0.255196 0.373241\n", + "-6.0 -0.406838 0.150416 -2.704746 6.835664e-03 -0.701649 -0.112027\n", + "-5.0 0.180776 0.159539 1.133118 2.571648e-01 -0.131914 0.493467\n", + "-4.0 0.358928 0.145393 2.468664 1.356185e-02 0.073962 0.643894\n", + "-3.0 -0.072469 0.129666 -0.558890 5.762367e-01 -0.326610 0.181672\n", + "-2.0 0.064116 0.130066 0.492948 6.220493e-01 -0.190809 0.319041\n", + "-1.0 -0.072705 0.122713 -0.592478 5.535309e-01 -0.313217 0.167808\n", + "0.0 -0.006169 0.122778 -0.050244 9.599278e-01 -0.246810 0.234472\n", + "1.0 0.530921 0.120802 4.394967 1.107896e-05 0.294153 0.767689\n", + "2.0 0.951605 0.137525 6.919517 4.531930e-12 0.682061 1.221148\n", + "3.0 1.268581 0.187070 6.781309 1.190914e-11 0.901930 1.635232\n", + "4.0 1.863268 0.195839 9.514273 0.000000e+00 1.479430 2.247106\n", + "5.0 2.207388 0.214131 10.308595 0.000000e+00 1.787699 2.627077\n", + "6.0 2.204625 0.224647 9.813735 0.000000e+00 1.764325 2.644924\n", + "7.0 2.214067 0.227377 9.737405 0.000000e+00 1.768415 2.659718\n", + "8.0 2.069426 0.218829 9.456840 0.000000e+00 1.640530 2.498322\n", + "9.0 2.291699 0.234154 9.787142 0.000000e+00 1.832765 2.750633\n", + "10.0 2.244283 0.209154 10.730269 0.000000e+00 1.834348 2.654218\n", + "11.0 1.728200 0.225452 7.665492 1.776357e-14 1.286323 2.170078\n", + "12.0 1.969456 0.219609 8.968000 0.000000e+00 1.539030 2.399882\n", + "13.0 1.977188 0.214515 9.217010 0.000000e+00 1.556746 2.397629\n", + "14.0 2.006690 0.222713 9.010201 0.000000e+00 1.570180 2.443200\n", + "15.0 1.829623 0.222851 8.210083 2.220446e-16 1.392844 2.266403\n", + "16.0 2.044418 0.242347 8.435915 0.000000e+00 1.569427 2.519409\n", + "17.0 2.120419 0.360803 5.876946 4.179036e-09 1.413258 2.827580\n", + "18.0 2.007500 0.337656 5.945394 2.757921e-09 1.345706 2.669294\n", + "19.0 2.157055 0.361978 5.959084 2.536563e-09 1.447592 2.866518\n", + "20.0 2.151000 0.311424 6.906987 4.950484e-12 1.540621 2.761380\n", + "21.0 1.856903 0.337689 5.498858 3.822588e-08 1.195045 2.518761\n", + "22.0 1.594584 0.359405 4.436727 9.133721e-06 0.890162 2.299006\n", + "23.0 2.061339 0.328508 6.274857 3.499554e-10 1.417475 2.705202\n", + "24.0 2.289951 0.347372 6.592222 4.332912e-11 1.609115 2.970787\n", + "25.0 2.317547 0.344362 6.729974 1.696931e-11 1.642610 2.992484\n", + "26.0 2.260851 0.325727 6.940938 3.895106e-12 1.622438 2.899265\n", + "81.0 2.681955 0.532796 5.033739 4.810047e-07 1.637694 3.726215\n", + "82.0 3.122279 0.556410 5.611471 2.006135e-08 2.031735 4.212822\n", + "83.0 3.020676 0.516820 5.844733 5.073813e-09 2.007727 4.033624\n", + "84.0 2.930960 0.545672 5.371287 7.817666e-08 1.861463 4.000458\n", + "85.0 2.827874 0.553150 5.112305 3.182516e-07 1.743719 3.912028\n", + "86.0 2.683033 0.311714 8.607362 0.000000e+00 2.072085 3.293981\n", + "87.0 2.398529 0.299999 7.995113 1.332268e-15 1.810541 2.986516\n", + "88.0 2.369784 0.319755 7.411248 1.250111e-13 1.743075 2.996492\n", + "89.0 2.606313 0.319492 8.157681 4.440892e-16 1.980120 3.232505\n", + "90.0 2.606481 0.336016 7.757018 8.659740e-15 1.947902 3.265060\n", + "91.0 2.184510 0.281940 7.748150 9.325873e-15 1.631918 2.737101\n", + "92.0 2.559300 0.314692 8.132719 4.440892e-16 1.942515 3.176085\n", + "93.0 2.360272 0.299432 7.882501 3.108624e-15 1.773396 2.947147\n", + "94.0 2.504479 0.306197 8.179316 2.220446e-16 1.904345 3.104613\n", + "95.0 2.394538 0.299274 8.001152 1.332268e-15 1.807971 2.981104\n", + "96.0 2.392109 0.311452 7.680506 1.576517e-14 1.781675 3.002544\n", + "97.0 2.350966 0.227377 10.339519 0.000000e+00 1.905316 2.796616\n", + "98.0 2.342899 0.239253 9.792537 0.000000e+00 1.873970 2.811827\n", + "99.0 2.231867 0.233960 9.539523 0.000000e+00 1.773314 2.690420\n", + "100.0 2.174605 0.233806 9.300903 0.000000e+00 1.716354 2.632856\n", + "101.0 2.116045 0.236739 8.938321 0.000000e+00 1.652046 2.580044\n", + "102.0 2.382230 0.233424 10.205597 0.000000e+00 1.924728 2.839733\n", + "103.0 2.194967 0.239216 9.175675 0.000000e+00 1.726113 2.663822\n", + "104.0 2.207687 0.239795 9.206577 0.000000e+00 1.737699 2.677676\n", + "105.0 2.291134 0.245938 9.315906 0.000000e+00 1.809105 2.773164\n", + "106.0 2.419642 0.234150 10.333742 0.000000e+00 1.960717 2.878566\n", + "107.0 2.316106 0.248444 9.322463 0.000000e+00 1.829166 2.803046\n", + "108.0 2.339001 0.254276 9.198671 0.000000e+00 1.840629 2.837373\n", + "109.0 2.213228 0.237398 9.322866 0.000000e+00 1.747937 2.678519\n", + "110.0 2.103238 0.244700 8.595171 0.000000e+00 1.623635 2.582841\n", + "111.0 2.109819 0.241779 8.726221 0.000000e+00 1.635940 2.583697\n", + "112.0 1.987868 0.224851 8.840802 0.000000e+00 1.547167 2.428568\n", + "113.0 2.104286 0.247458 8.503625 0.000000e+00 1.619279 2.589294\n", + "114.0 2.249687 0.263804 8.527874 0.000000e+00 1.732641 2.766733\n", + "115.0 2.021470 0.244385 8.271671 2.220446e-16 1.542485 2.500455\n", + "116.0 2.185273 0.335254 6.518270 7.112311e-11 1.528188 2.842358\n", + "117.0 2.354160 0.374521 6.285784 3.262028e-10 1.620112 3.088209\n", + "118.0 2.648073 0.363676 7.281402 3.304024e-13 1.935281 3.360866\n", + "119.0 2.430199 0.360303 6.744874 1.531597e-11 1.724018 3.136381\n", + "120.0 2.133212 0.351224 6.073655 1.250313e-09 1.444826 2.821598\n", + "121.0 2.023603 0.346704 5.836693 5.324712e-09 1.344076 2.703129\n", + "122.0 2.263080 0.336040 6.734556 1.644307e-11 1.604454 2.921706\n", + "123.0 2.245015 0.366813 6.120326 9.338386e-10 1.526075 2.963956\n", + "124.0 2.174761 0.372263 5.842003 5.157701e-09 1.445139 2.904383\n", + "125.0 2.032205 0.344673 5.896042 3.723240e-09 1.356659 2.707751\n", + "126.0 1.927568 0.350658 5.497010 3.862849e-08 1.240292 2.614845\n", + "127.0 1.981014 0.318623 6.217418 5.054022e-10 1.356524 2.605505\n", + "186.0 2.091696 0.328345 6.370414 1.885190e-10 1.448151 2.735241\n", + "187.0 2.102771 0.374046 5.621688 1.891004e-08 1.369654 2.835889\n", + "188.0 2.176215 0.333466 6.526057 6.752376e-11 1.522634 2.829795\n", + "189.0 2.064952 0.350252 5.895610 3.733006e-09 1.378470 2.751434\n", + "190.0 2.000229 0.372752 5.366112 8.045211e-08 1.269649 2.730810\n", + "191.0 2.439994 0.372014 6.558879 5.421352e-11 1.710860 3.169128\n", + "192.0 1.754829 0.360673 4.865426 1.142107e-06 1.047923 2.461736\n", + "193.0 1.905085 0.362795 5.251126 1.511719e-07 1.194019 2.616151\n", + "194.0 2.111506 0.368774 5.725746 1.029803e-08 1.388723 2.834290\n", + "195.0 1.856952 0.332957 5.577158 2.444799e-08 1.204369 2.509535\n", + "196.0 1.730786 0.347648 4.978562 6.405844e-07 1.049409 2.412163\n", + "197.0 2.143965 0.357991 5.988879 2.112920e-09 1.442316 2.845615\n", + "198.0 1.990532 0.358077 5.558941 2.714159e-08 1.288713 2.692350\n", + "199.0 1.878999 0.372707 5.041493 4.619138e-07 1.148507 2.609491\n", + "200.0 2.069288 0.349270 5.924615 3.130296e-09 1.384732 2.753844\n", + "201.0 2.152086 0.324164 6.638874 3.160872e-11 1.516736 2.787436\n", + "202.0 2.184113 0.349025 6.257752 3.905667e-10 1.500036 2.868190\n", + "203.0 2.240531 0.328243 6.825832 8.741674e-12 1.597187 2.883876\n", + "204.0 1.990521 0.367188 5.420984 5.927201e-08 1.270845 2.710196\n", + "205.0 2.180301 0.352683 6.182042 6.327767e-10 1.489055 2.871547\n", + "206.0 2.219939 0.364366 6.092609 1.110854e-09 1.505795 2.934083\n", + "207.0 1.987718 0.362002 5.490898 3.998948e-08 1.278206 2.697229\n", + "208.0 2.205234 0.336569 6.552093 5.673639e-11 1.545570 2.864897\n", + "209.0 2.403902 0.360053 6.676531 2.446643e-11 1.698212 3.109592\n", + "210.0 1.891928 0.362148 5.224188 1.749210e-07 1.182131 2.601725\n", + "211.0 1.940937 0.374213 5.186713 2.140377e-07 1.207492 2.674381\n", + "212.0 2.214070 0.381017 5.810944 6.212145e-09 1.467290 2.960850\n", + "213.0 2.274264 0.379113 5.998912 1.986434e-09 1.531216 3.017311\n", + "214.0 1.955533 0.387393 5.047928 4.466285e-07 1.196256 2.714810\n", + "215.0 1.685365 0.342158 4.925695 8.406122e-07 1.014748 2.355982\n", + "216.0 1.735205 0.342997 5.058955 4.215613e-07 1.062944 2.407466\n", + "------------------ Additional Information ------------------\n", + "Score function: observational\n", + "Control group: not_yet_treated\n", + "Anticipation periods: 0\n", + "\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# rerun bootstrap for valid simultaneous inference (as values are not saved)\n", + "dml_obj.bootstrap(n_rep_boot=5000)\n", + "aggregated_eventstudy = dml_obj.aggregate(\"eventstudy\")\n", + "# run bootstrap to obtain simultaneous confidence intervals\n", + "aggregated_eventstudy.aggregated_frameworks.bootstrap()\n", + "print(aggregated_eventstudy)\n", + "fig, ax = aggregated_eventstudy.plot_effects()\n", + "\n", + "ax.set_title(\"Event-Study Aggregated Treatment Effects\", fontsize=14)\n", + "ax.set_xlabel(\"Periods Relative to Treatment\", fontsize=12)\n", + "ax.set_ylabel(\"Average Treatment Effect on Treated (ATT)\", fontsize=12)\n", + "\n", + "# 1️⃣ 현재 xticks 불러오기\n", + "xticks = ax.get_xticks()\n", + "\n", + "# 2️⃣ 0 포함하면서 간격 조정 (예: 10 간격마다 표시)\n", + "xticks_to_show = sorted(set([0] + list(xticks[::10]))) \n", + "ax.set_xticks(xticks_to_show)\n", + "ax.tick_params(axis='x', rotation=45)\n", + "\n", + "# 3️⃣ 처치 시점(0) 강조선 추가\n", + "ax.axvline(10.8*6, color='red', linestyle='--', linewidth=1.5)\n", + "ax.text(9*5, ax.get_ylim()[1]*0.9, \"Treatment Start\", color='red', fontsize=10)\n", + "\n", + "# 4️⃣ 시각적 여백 및 격자\n", + "ax.margins(x=0.02)\n", + "ax.grid(alpha=0.3)\n", + "fig.tight_layout()\n", + "\n", + "\n", + "plt.show()" ] }, { "cell_type": "markdown", + "id": "e467df6f", "metadata": {}, "source": [ - "### 질문이나 의견을 남겨주세요.\n", - "" + "분석 결과,모든 처치 전 평균 효과 신뢰구간에서 0을 포함합니다. 이는 처치 이전에 집단 간 유의한 차이가 존재하지 않음을 의미하며, 평행추세 가정이 충족되는 것으로 판단됩니다.\n", + "\n", + "반면,처치 후 동적 평균 효과의 신뢰구간은 대부분의 시점에서 0이상인 양(+)의 효과가 관찰되었습니다.\n", + "이는 **처치 이후 실질적인 성과 향상(예: downloads 증가)** 이 나타났음을 시사하며,\n", + "처치 효과가 시간에 따라 점진적으로 강화되는 동적 패턴을 보인다고 해석할 수 있습니다.\n" ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "bb62d4f5", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3e0c0557", + "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 +4297,51 @@ "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/mpdta.rda b/book/ate/mpdta.rda new file mode 100644 index 0000000..29d1597 Binary files /dev/null and b/book/ate/mpdta.rda differ 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
2597311.48082851201-0.4629450.652608-0.515202-0.1698490.173954
3435760-0.9872775131140.3345440.648586-1.3109270.224077-0.426757
996340-0.15234052210-2.2896360.1907970.875012-0.7248010.761781
44886700.358336614104-1.1153371.0530890.3157550.0545861.862187
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)))
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" + ], + "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)))
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" + ], + "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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