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A. CAUSAL EFFECTS Eva Hromádková, 7.10.2010 Applied Econometrics JEM007, IES Lecture 2A
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Problem of causal inference Want to test whether treatment (d) affects outcome (y) => TREATMENT EFFECT !!! Correlation does not imply causation !!! There might exist unobserved factors that drive this correlation What would happen if an individual was (not) under a particular treatment?
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Treatment effect I. Potential vs. observed outcome Imagine individual has two potential outcomes Outcome if he is treated (d=1) Outcome if he is not treated (d=0) Obviously, only one scenario is realized Plugging (2) into (1) Note: individual return to treatment
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Treatment effect II. Why are some treated and some not? Hidden selection mechanism, based on observed (Z) and unobserved (v) factors Then translates into 0/1 treatment
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Treatment effect III. From individual to population Average treatment effect (ATE) (randomly chosen individual) Average treatment effect on treated (ATT) (participant of treatment) Average treatment effect on non-treated (ATNT) Hypothetical effect - non-participant
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Treatment effect IV. Heterogenous in population Local average treatment effect (mainly in IV) We observe variation in variable Z, which induced change in treatment status of SOME individuals Ex.: subsidy for dormitories -> positive effect on enrollment into higher education BUT effect that we are getting is local – only applies to people who switched their decision based on the subsidy
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Identification problem Non-random assignment Selection into treatment group => People who are treated are a-priori different from people who are not treated Terminology: treatment x control group Q: how is this different from LATE?
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Identification problem Selection mechanisms Selection on observables (corr of e and Z) Selection on unobservables (corr of e and v) Selection on untreated outcome (corr of d and u) Selection on expected gains (corr of d and alpha)
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Identification problem Homogenous vs. heterogenous treatment effects Homogenous case: Selection bias if u and d are correlated Heterogenous case: ATT + selection bias from corr of u and d
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Overview of identification strategies Controlled (social) experiment Direct randomization of treated and untreated Natural experiment Finding naturally occurring treated and untreated group that are as similar as possible Instrumental variable Finding variable that affects prob. of treatment but does not affect outcome Discontinuity design Probability of treatment is changing discontinuously with a characteristic (eligiblity)
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B. CONTROLLED EXPERIMENTS Eva Hromádková, 7.10.2010 Applied Econometrics JEM007, IES Lecture 2B
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Randomization Experimentator can randomly choose which individuals are administered treatment and which not Ass.1: Treated and controls same in unobserved characteristics Ass. 2: Treated and controls same in gains from a treatment
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Use of experiments and randomization Labor Economics – Active labor market policies Ex. National Supported Work (NSW) Health Economics: Ex. RAND experiment (1974-1982) people were assigned randomly to different health insurance plans Moral hazard; effect of co-payments *Development economics: Educational system (Duflo, Dupaas and Kremer, 2009), microfinances (Karlan and Zinman, 2008) *Behavioral economics Intrinsic motivation, fairness, incentives
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Development economics Improving immunization coverage in India Video (Esther Duflo, TED Talks Feb 2010) Video Banerjee, Duflo and Kothari (2010) – Improving immunization coverage in rural India Udaipur district, Rajasthan – very low immunization rate (4% Reasons: Cost of travelling (immunization is for free) – procrastination 134 villages were randomized to one of 3 groups A: reliable immunization camp B: reliable immunization camp + incentives (lentils + plates) No intervention Outcome = immunization rate in villages
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Development economics Results: Baseline – 6% A – 17% B – 38% Issues: Design: Testing multiple interventions Within village correlation of individual outcomes - clustering Spillovers – neighboring villages Intention to treat
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Behavioral economics How to combat procrastination I Video (Dan Ariely on procrastination) Video Ariely and Wertenbroch (2002). Procrastination, deadlines and performance. Procrastination = putting off duties/tasks Questions: 1. Do people self-impose deadlines to increase performance if they have the possibility to do so? 2. Do deadlines increase performance? 3. Do people set deadlines optimally for maximum performance? 2 studies
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Behavioral economics How to combat procrastination II Study 1: MBA course – 2 classes, requirement of 3 essays No choice section: fixed deadlines (evenly spaced) Free-choice section: choose deadlines themselves Deadlines will be binding Instructor will not read / give feedback before the end Rational choice (if no self-control issues) = all 3 in the end Results: Actual choice of deadlines: only 32% for the final week Performance: grades in no-choice section (avg = 88.76) higher than grades in choice section (avg=85.67), t=3 Problem with SE (=>t). Why?
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Behavioral economics How to combat procrastination III Study 2: Proofreading, randomly assigned to 3 treatments 1. Evenly spaced submission (every 7 days) 2. End-deadline submission (at the end) 3. Self-imposed deadlines Conditions: paid for detecting mistakes, day of delay = 1$ Results: Participants in (3) have preferred spaced deadlines They perform worst under no deadlines, better under self imposed deadlines and best under imposed deadlines However, people sometimes set constraints that are not really constraining (“internal” deadlines, gym membership, etc.)
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Issues in controlled experiments I Threads to internal validity: Non-compliance: Some people assigned to treatment do not comply What we get is the effect of “intention to treat” Attrition: problem if it is non-random Externalities: not taking them into consideration reduces estimated impact of treatment Correct SE => clustering (e.g. randomization of villages) Design questions: few examples Framing Relevant incentives: own / experiment money Testing multiple interventions
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Issues in controlled experiments II Threads to external validity: is the result generalizable? Hawthorne effect: mere attention causes the treatment group to change its behavior John Henry effect: when control group engages in social competition to show they perform as well Demand effects: subject cooperate in ways they wouldn’t routinely consider Generally: Population: too specific? Time span: do we control also for long run effects? GE effects: implementation on a large scale
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