From e3e4f47a1942700b9b7eefa7ec1e59a4e5fa9de6 Mon Sep 17 00:00:00 2001 From: Paul Schrimpf Date: Mon, 20 Nov 2023 10:47:12 -0800 Subject: [PATCH] new html files. This way of hosting is insanity --- paul/did.html | 1172 +++++++++++++++++ paul/did.ipynb | 328 +++++ .../figure-revealjs/cell-8-output-1.png | Bin 0 -> 50054 bytes .../figure-revealjs/cell-15-output-1.png | Bin 0 -> 46937 bytes .../figure-revealjs/cell-18-output-1.png | Bin 0 -> 40451 bytes .../figure-revealjs/cell-21-output-1.png | Bin 0 -> 189436 bytes paul/paulus.jpg | Bin 0 -> 3445276 bytes paul/tak.jpg | Bin 0 -> 5154626 bytes 8 files changed, 1500 insertions(+) create mode 100644 paul/did.html create mode 100644 paul/did.ipynb create mode 100644 paul/did_files/figure-revealjs/cell-8-output-1.png create mode 100644 paul/matching_files/figure-revealjs/cell-15-output-1.png create mode 100644 paul/matching_files/figure-revealjs/cell-18-output-1.png create mode 100644 paul/matching_files/figure-revealjs/cell-21-output-1.png create mode 100644 paul/paulus.jpg create mode 100644 paul/tak.jpg diff --git a/paul/did.html b/paul/did.html new file mode 100644 index 0000000..17a2bc1 --- /dev/null +++ b/paul/did.html @@ -0,0 +1,1172 @@ + + + + + + + + + + + + + + ECON 526 - Difference in Differences + + + + + + + + + + + + + + + + + + + + +
+
+ +
+

Difference in Differences

+

ECON526

+ +
+
+
+Paul Schrimpf +
+

+ University of British Columbia +

+
+
+ +
+ +
+
+
+

Introduction

+ +
+
+

Introduction

+
    +
  • Have some policy applied to some observations but not others, and observe outcome before and after policy

  • +
  • Idea: compare outcome before and after policy in treated and untreated group

  • +
  • Change in outcome in treated group reflects both effect of policy and time trend, change in untreated group captures time trend

  • +
+
+
+

Example: Impact of Billboards

+
    +
  • From Facure (2022) chapter 13
  • +
  • Bank placed billboards advertising savings accounts in Porto Alegre in July
  • +
  • Data on deposits in May and July in Porto Alegre and Florianopolis
  • +
+
+
+

Example: Impact of Billboards

+
+
+Code +
import warnings
+warnings.filterwarnings('ignore')
+
+import pandas as pd
+import numpy as np
+from matplotlib import style
+from matplotlib import pyplot as plt
+import seaborn as sns
+import statsmodels.formula.api as smf
+
+datadir="./data"
+
+
+
+
data = pd.read_csv(datadir + "/billboard_impact.csv")
+data.head()
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
depositspoajul
04210
1010
25210
311910
42110
+ +
+
+
+
+
+

Means and Differences

+
+
tbl = data.groupby(['jul','poa']).mean().unstack()
+tbl
+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
deposits
poa01
jul
0171.64230846.01600
1206.16550087.06375
+ +
+
+
+
+
tbl.diff(axis=0).iloc[1,:]
+
+
          poa
+deposits  0      34.523192
+          1      41.047750
+Name: 1, dtype: float64
+
+
+
+
tbl.diff(axis=1).iloc[:,1]
+
+
jul
+0   -125.626308
+1   -119.101750
+Name: (deposits, 1), dtype: float64
+
+
+
+
tbl.diff(axis=0).diff(axis=1).iloc[1,1]
+
+
6.524557692307688
+
+
+
+
+
+

Difference in Differences

+

\[ +\def\Er{{\mathrm{E}}} +\def\En{{\mathbb{E}_n}} +\def\cov{{\mathrm{Cov}}} +\def\var{{\mathrm{Var}}} +\def\R{{\mathbb{R}}} +\newcommand\norm[1]{\left\lVert#1\right\rVert} +\def\rank{{\mathrm{rank}}} +\newcommand{\inpr}{ \overset{p^*_{\scriptscriptstyle n}}{\longrightarrow}} +\def\inprob{{\,{\buildrel p \over \rightarrow}\,}} +\def\indist{\,{\buildrel d \over \rightarrow}\,} +\DeclareMathOperator*{\plim}{plim} +\]

+
+
+

Setup

+
    +
  • Two periods, binary treatment in second period
  • +
  • Potential outcomes \(\{y_{it}(0),y_{it}(1)\}_{t=0}^1\) for \(i=1,...,N\)
  • +
  • Treatment \(D_{it} \in \{0,1\}\), +
      +
    • \(D_{i0} = 0\) \(\forall i\)
    • +
    • \(D_{i1} = 1\) for some, \(0\) for others
    • +
  • +
  • Observe \(y_{it} = y_{it}(0)(1-D_{it}) + D_{it} y_{it}(1)\)
  • +
+
+
+

Identification

+
    +
  • Average treatment effect on the treated: \[ +\begin{align*} +ATT & = \Er[y_{i1}(1) - \color{red}{y_{i1}(0)} | D_{i1} = 1] \\ +& = \Er[y_{i1}(1) - y_{i0}(0) | D_{i1} = 1] - \Er[\color{red}{y_{i1}(0)} - y_{i0}(0) | D_{i1}=1] \\ +& \text{ assume } \Er[\color{red}{y_{i1}(0)} - y_{i0}(0) | D_{i1}=1] = \Er[y_{i1}(0) - y_{i0}(0) | D_{i1}=0] \\ +& = \Er[y_{i1}(1) - y_{i0}(0) | D_{i1} = 1] - \Er[y_{i1}(0) - y_{i0}(0) | D_{i1}=0] \\ +& = \Er[y_{i1} - y_{i0} | D_{i1}=1, D_{i0}=0] - \Er[y_{i1} - y_{i0} | D_{i1}=0, D_{i0}=0] +\end{align*} +\]
  • +
+
+
+

Important Assumptions

+
    +
  • No anticipation: \(D_{i1}=1\) does not affect \(y_{i0}\) +
      +
    • built into the potential outcomes notation we used, relax by allowing potential outcomes given sequence of \(D\), i.e. \(y_{it}(D_{i0},D_{i1})\)
    • +
  • +
  • Parallel trends: \(\Er[\color{red}{y_{i1}(0)} - y_{i0}(0) |D_{i1}=1,D_{i0}=0] = \Er[y_{i1}(0) - y_{i0}(0) | D_{i1}=0], D_{i0}=0]\) +
      +
    • not invariant to tranformations of \(y\)
    • +
  • +
+
+
+

Estimation

+
+
    +
  • Plugin: \[ +\widehat{ATT} = \frac{ \sum_{i=1}^n (y_{i1} - y_{i0})D_{i1}(1-D_{i0})}{\sum_{i=1}^n D_{i1}(1-D_{i0})} - \frac{ \sum_{i=1}^n (y_{i1} - y_{i0})(1-D_{i1})(1-D_{i0})}{\sum_{i=1}^n (1-D_{i1})(1-D_{i0})} +\]

  • +
  • Regression: \[ +y_{it} = \delta_t + \alpha 1\{D_{i1}=1\} + \beta D_{it} + \epsilon_{it} +\] then \(\hat{\beta} = \widehat{ATT}\)

  • +
+
+
+
+
+

Billboard Application Revisited

+ +
+
+

Visualizing Difference in Differences

+
+
poa_before = data.query("poa==1 & jul==0")["deposits"].mean()
+poa_after = data.query("poa==1 & jul==1")["deposits"].mean()
+fl_before = data.query("poa==0 & jul==0")["deposits"].mean()
+fl_after = data.query("poa==0 & jul==1")["deposits"].mean()
+plt.figure(figsize=(10,5))
+plt.plot(["May", "Jul"], [fl_before, fl_after], label="FL", lw=2)
+plt.plot(["May", "Jul"], [poa_before, poa_after], label="POA", lw=2)
+
+plt.plot(["May", "Jul"], [poa_before, poa_before+(fl_after-fl_before)],
+         label="Counterfactual", lw=2, color="C2", ls="-.")
+
+plt.legend();
+
+

+
+
+
+
+

Estimation via Regression

+
+
smf.ols('deposits ~ poa*jul', data=data).fit().summary().tables[1]
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
coefstd errtP>|t|[0.0250.975]
Intercept171.64232.36372.6250.000167.009176.276
poa-125.62634.484-28.0150.000-134.418-116.835
jul34.52323.03611.3720.00028.57140.475
poa:jul6.52465.7291.1390.255-4.70617.755
+
+
+
+
+

Further Topics

+
    +
  • More periods, more groups
  • +
  • Covariates
  • +
  • Pre-trends
  • +
+
+
+

Reading

+ +
+
+

References

+ + +
+
+Facure, Matheus. 2022. Causal Inference for the Brave and True. https://matheusfacure.github.io/python-causality-handbook/landing-page.html. +
+
+
+
+
+ + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/paul/did.ipynb b/paul/did.ipynb new file mode 100644 index 0000000..6f614e4 --- /dev/null +++ b/paul/did.ipynb @@ -0,0 +1,328 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Difference in Differences\n", + "\n", + "ECON526\n", + "\n", + "Paul Schrimpf (University of British Columbia)\n", + "\n", + "# Introduction\n", + "\n", + "## Introduction\n", + "\n", + "- Have some policy applied to some observations but not others, and\n", + " observe outcome before and after policy\n", + "\n", + "- Idea: compare outcome before and after policy in treated and\n", + " untreated group\n", + "\n", + "- Change in outcome in treated group reflects both effect of policy\n", + " and time trend, change in untreated group captures time trend\n", + "\n", + "## Example: Impact of Billboards\n", + "\n", + "- From Facure (2022) chapter 13\n", + "- Bank placed billboards advertising savings accounts in Porto Alegre\n", + " in July\n", + "- Data on deposits in May and July in Porto Alegre and Florianopolis\n", + "\n", + "## Example: Impact of Billboards" + ], + "id": "94116228-a0eb-4c4b-99c5-7c682ada876f" + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import warnings\n", + "warnings.filterwarnings('ignore')\n", + "\n", + "import pandas as pd\n", + "import numpy as np\n", + "from matplotlib import style\n", + "from matplotlib import pyplot as plt\n", + "import seaborn as sns\n", + "import statsmodels.formula.api as smf\n", + "\n", + "datadir=\"./data\"" + ], + "id": "2e0ba730" + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "metadata": {}, + "data": { + "text/html": [ + "\n", + "" + ] + } + } + ], + "source": [ + "data = pd.read_csv(datadir + \"/billboard_impact.csv\")\n", + "data.head()" + ], + "id": "8f71de33" + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Means and Differences" + ], + "id": "6f289dfb-893c-426c-b4f3-4a105a20dd28" + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "metadata": {}, + "data": { + "text/html": [ + "\n", + "" + ] + } + } + ], + "source": [ + "tbl = data.groupby(['jul','poa']).mean().unstack()\n", + "tbl" + ], + "id": "13fac2b6" + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "metadata": {}, + "data": { + "text/plain": [ + " poa\n", + "deposits 0 34.523192\n", + " 1 41.047750\n", + "Name: 1, dtype: float64" + ] + } + } + ], + "source": [ + "tbl.diff(axis=0).iloc[1,:]" + ], + "id": "547145fd" + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "metadata": {}, + "data": { + "text/plain": [ + "jul\n", + "0 -125.626308\n", + "1 -119.101750\n", + "Name: (deposits, 1), dtype: float64" + ] + } + } + ], + "source": [ + "tbl.diff(axis=1).iloc[:,1]" + ], + "id": "32f1c5cc" + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "metadata": {}, + "data": { + "text/plain": [ + "6.524557692307688" + ] + } + } + ], + "source": [ + "tbl.diff(axis=0).diff(axis=1).iloc[1,1]" + ], + "id": "91872c1e" + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Difference in Differences\n", + "\n", + "$$\n", + "\\def\\Er{{\\mathrm{E}}}\n", + "\\def\\En{{\\mathbb{E}_n}}\n", + "\\def\\cov{{\\mathrm{Cov}}}\n", + "\\def\\var{{\\mathrm{Var}}}\n", + "\\def\\R{{\\mathbb{R}}}\n", + "\\newcommand\\norm[1]{\\left\\lVert#1\\right\\rVert}\n", + "\\def\\rank{{\\mathrm{rank}}}\n", + "\\newcommand{\\inpr}{ \\overset{p^*_{\\scriptscriptstyle n}}{\\longrightarrow}}\n", + "\\def\\inprob{{\\,{\\buildrel p \\over \\rightarrow}\\,}}\n", + "\\def\\indist{\\,{\\buildrel d \\over \\rightarrow}\\,}\n", + "\\DeclareMathOperator*{\\plim}{plim}\n", + "$$\n", + "\n", + "## Setup\n", + "\n", + "- Two periods, binary treatment in second period\n", + "- Potential outcomes $\\{y_{it}(0),y_{it}(1)\\}_{t=0}^1$ for $i=1,...,N$\n", + "- Treatment $D_{it} \\in \\{0,1\\}$,\n", + " - $D_{i0} = 0$ $\\forall i$\n", + " - $D_{i1} = 1$ for some, $0$ for others\n", + "- Observe $y_{it} = y_{it}(0)(1-D_{it}) + D_{it} y_{it}(1)$\n", + "\n", + "## Identification\n", + "\n", + "- Average treatment effect on the treated: $$\n", + " \\begin{align*}\n", + " ATT & = \\Er[y_{i1}(1) - \\color{red}{y_{i1}(0)} | D_{i1} = 1] \\\\\n", + " & = \\Er[y_{i1}(1) - y_{i0}(0) | D_{i1} = 1] - \\Er[\\color{red}{y_{i1}(0)} - y_{i0}(0) | D_{i1}=1] \\\\\n", + " & \\text{ assume } \\Er[\\color{red}{y_{i1}(0)} - y_{i0}(0) | D_{i1}=1] = \\Er[y_{i1}(0) - y_{i0}(0) | D_{i1}=0] \\\\\n", + " & = \\Er[y_{i1}(1) - y_{i0}(0) | D_{i1} = 1] - \\Er[y_{i1}(0) - y_{i0}(0) | D_{i1}=0] \\\\\n", + " & = \\Er[y_{i1} - y_{i0} | D_{i1}=1, D_{i0}=0] - \\Er[y_{i1} - y_{i0} | D_{i1}=0, D_{i0}=0]\n", + " \\end{align*}\n", + " $$\n", + "\n", + "## Important Assumptions\n", + "\n", + "- No anticipation: $D_{i1}=1$ does not affect $y_{i0}$\n", + " - built into the potential outcomes notation we used, relax by\n", + " allowing potential outcomes given sequence of $D$,\n", + " i.e. $y_{it}(D_{i0},D_{i1})$\n", + "- Parallel trends:\n", + " $\\Er[\\color{red}{y_{i1}(0)} - y_{i0}(0) |D_{i1}=1,D_{i0}=0] = \\Er[y_{i1}(0) - y_{i0}(0) | D_{i1}=0], D_{i0}=0]$\n", + " - not invariant to tranformations of $y$\n", + "\n", + "## Estimation\n", + "\n", + "- Plugin: $$\n", + " \\widehat{ATT} = \\frac{ \\sum_{i=1}^n (y_{i1} - y_{i0})D_{i1}(1-D_{i0})}{\\sum_{i=1}^n D_{i1}(1-D_{i0})} - \\frac{ \\sum_{i=1}^n (y_{i1} - y_{i0})(1-D_{i1})(1-D_{i0})}{\\sum_{i=1}^n (1-D_{i1})(1-D_{i0})}\n", + " $$\n", + "\n", + "- Regression: $$\n", + " y_{it} = \\delta_t + \\alpha 1\\{D_{i1}=1\\} + \\beta D_{it} + \\epsilon_{it}\n", + " $$ then $\\hat{\\beta} = \\widehat{ATT}$\n", + "\n", + "# Billboard Application Revisited\n", + "\n", + "## Visualizing Difference in Differences" + ], + "id": "7a1922b9-d146-4b26-b4b5-0b68b20cd1a3" + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "metadata": {}, + "data": { + "image/png": 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6VJKToZIOSp8G5tpU7Mig9AkAAKAfI3j0Y/WNzdpd236Ru5a5FeFtVQ3JK30a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\nP2fOHC1evFhffPGFvF6vFi5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S+hQMBdUYaIxqBTunfI6ag82UPgF9GKVWAIADSygkefbE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\nhOCB/iMUkjxV8dexqNnaMv8i0Njpw3lMJu22mOW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+ } + } + ], + "source": [ + "poa_before = data.query(\"poa==1 & jul==0\")[\"deposits\"].mean()\n", + "poa_after = data.query(\"poa==1 & jul==1\")[\"deposits\"].mean()\n", + "fl_before = data.query(\"poa==0 & jul==0\")[\"deposits\"].mean()\n", + "fl_after = data.query(\"poa==0 & jul==1\")[\"deposits\"].mean()\n", + "plt.figure(figsize=(10,5))\n", + "plt.plot([\"May\", \"Jul\"], [fl_before, fl_after], label=\"FL\", lw=2)\n", + "plt.plot([\"May\", \"Jul\"], [poa_before, poa_after], label=\"POA\", lw=2)\n", + "\n", + "plt.plot([\"May\", \"Jul\"], [poa_before, poa_before+(fl_after-fl_before)],\n", + " label=\"Counterfactual\", lw=2, color=\"C2\", ls=\"-.\")\n", + "\n", + "plt.legend();" + ], + "id": "4bcdb7c3" + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Estimation via Regression" + ], + "id": "dce73ae3-666e-4ee8-a48c-a5401cf5ded8" + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "metadata": {}, + "data": {} + } + ], + "source": [ + "smf.ols('deposits ~ poa*jul', data=data).fit().summary().tables[1]" + ], + "id": "4dd50c15" + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Further Topics\n", + "\n", + "- More periods, more groups\n", + "- Covariates\n", + "- Pre-trends\n", + "\n", + "## Reading\n", + "\n", + "- [Chapter\n", + " 13](https://matheusfacure.github.io/python-causality-handbook/13-Difference-in-Differences.html)\n", + " of Facure (2022)\n", + "\n", + "## References\n", + "\n", + "Facure, Matheus. 2022. *Causal Inference for the Brave and True*.\n", + "." + ], + "id": "09934c57-d1b6-4050-844c-45b8c6f4cb5c" + } + ], + "nbformat": 4, + "nbformat_minor": 5, + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3 (ipykernel)", + "language": "python" + } + } +} \ No newline at end of file diff --git a/paul/did_files/figure-revealjs/cell-8-output-1.png b/paul/did_files/figure-revealjs/cell-8-output-1.png 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