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Causal Inference Lecture: ECON 335 Introduction

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Lecture 1:
Introduction
ECON 335
Simon Woodcock
Spring 2024
What this course is about
• This is a course about Causal Inference.
• Causal Inference refers to the statistical/econometric tools that we
use to learn about Cause and Effect in the world around us.
• Policy Evaluation is one of the main venues in which causal inference
is applied, and these terms are more or less synonymous for
economists.
• We will develop a framework for thinking formally and precisely
about cause and effect in economic/social data.
• You will learn a set of econometric tools to estimate causal effects.
• You will learn how to apply these tools in R.
Correlation and Causation
• You probably remember being told in ECON 333 or some other course
that correlation does not imply causation.
• That is, just because we observe two variables “moving together” in
the real world doesn’t mean that one causes the other.
• e.g., cities that have more police officers per capita also tend to have higher
crime rates. Do police officers cause crime?
• e.g., hospitals are full of sick people. Do hospitals make people sick?
• e.g., more educated people earn more, on average, than less educated
people. Does education cause higher wages?
• e.g., spot prices for electricity are higher on very hot and very cold days. Does
weather affect electricity prices?
Cause and Effect
• But often, we really want to know whether one thing (𝑋) causes another
(𝑌). And if so, what are the sign & magnitude of the causal effect of 𝑋 on
𝑌?
• e.g., Did COVID-19 lockdowns cause people to lose their jobs? How many? And did
they save lives? How many?
• e.g., consider an aid program that provides free food to families with children in a
developing country. How does this affect infant mortality? Family size? Academic
achievement? Female labor supply? Tax revenue?
• e.g., consider a new carbon tax. How does this affect prices? GDP? Unemployment?
• e.g., consider a firm that implements a new marketing program. How does this affect
sales? Customer engagement? Brand perception and market share?
• e.g., does completing a university degree increase the amount that a person can
expect to earn? By how much?
• These are all causal questions. Answering causal questions requires a
specific toolkit.
Tools to answer causal questions
• First, we will need a formal framework to think about cause and
effect.
• This will give us a precise idea of exactly what we’re trying to measure, what
could go wrong, and how we might overcome problems that we encounter.
• But the main thing you will learn in this course are tools to answer
causal questions.
• These are primarily statistical/econometric tools.
• Most of them rely on regression.
• Regression is taught in ECON 333, but we’ll do a quick refresher/introduction
here.
• And you’ll learn how to apply these tools in R.
Why R?
• R bridges disciplines: it is used by economists, statisticians, and
people doing empirical work in many other fields.
• R is used in industry and elsewhere in the “real” world, so it’s a useful
skill.
• R is taught in most (all?) sections of ECON 333.
• R is free.
• Once you learn to program in one statistical language, it’s easy to
learn another.
This course vs. ECON 334
• This course is primarily focused on questions of cause and effect, and
how to answer them. We’ll use R as a tool to do that.
• 334 is more focused on developing proficiency in R, data visualization,
and exploratory analysis. It is less focused on the econometrics, and
doesn’t consider causal questions.
• Both are useful!
Approximate plan for the semester
• Quick review of statistical/econometric methods and (re?)-introduction to R
• Cause and Effect (Chapter 1)
• Potential outcomes model
• Treatment effects
• Selection bias
• Randomized Experiments (Chapter 1)
• Regression (Chapter 2)
• Intro/review
• Apples-to-apples comparisons and the CEF
• Omitted variables bias vs. selection bias
• Other considerations: standard errors & robustness checks
• Instrumental Variables (Chapter 3)
• Regression Discontinuity Design (Chapter 4)
• Difference-in-Differences, Triple Differences, and Fixed Effects (Chapter 5)
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