Identification and Estimation of Average Causal Effects in Fixed Effects Logit Models

Fuente: arXiv
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Autori principali: Davezies, Laurent, D'Haultfœuille, Xavier, Laage, Louise
Natura: Preprint
Pubblicazione: 2021
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author Davezies, Laurent
D'Haultfœuille, Xavier
Laage, Louise
author_facet Davezies, Laurent
D'Haultfœuille, Xavier
Laage, Louise
contents This paper studies identification and estimation of average causal effects, such as average marginal or treatment effects, in fixed effects logit models with short panels. Relating the identified set of these effects to an extremal moment problem, we first show how to obtain sharp bounds on such effects simply, without any optimization. We also consider even simpler outer bounds, which, contrary to the sharp bounds, do not require any first-step nonparametric estimators. We build confidence intervals based on these two approaches and show their asymptotic validity. Monte Carlo simulations suggest that both approaches work well in practice, the second being typically competitive in terms of interval length. Finally, we show that our method is also useful to measure treatment effect heterogeneity.
format Preprint
id arxiv_https___arxiv_org_abs_2105_00879
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Identification and Estimation of Average Causal Effects in Fixed Effects Logit Models
Davezies, Laurent
D'Haultfœuille, Xavier
Laage, Louise
Econometrics
Methodology
This paper studies identification and estimation of average causal effects, such as average marginal or treatment effects, in fixed effects logit models with short panels. Relating the identified set of these effects to an extremal moment problem, we first show how to obtain sharp bounds on such effects simply, without any optimization. We also consider even simpler outer bounds, which, contrary to the sharp bounds, do not require any first-step nonparametric estimators. We build confidence intervals based on these two approaches and show their asymptotic validity. Monte Carlo simulations suggest that both approaches work well in practice, the second being typically competitive in terms of interval length. Finally, we show that our method is also useful to measure treatment effect heterogeneity.
title Identification and Estimation of Average Causal Effects in Fixed Effects Logit Models
topic Econometrics
Methodology
url https://arxiv.org/abs/2105.00879