Arbeitspapier

Semi-parametric estimation of multi-valued treatment effects for the treated: Estimating equations and sandwich estimators

An estimand of interest in empirical studies with observational data is the average treatment effect of a multi-valued treatment in the treated subpopulation. We demonstrate three estimation approaches: outcome regression, inverse probability weighting and inverse probability weighted regression, where the latter estimator holds a so called doubly robust property. Here, we define the estimators in the framework of partial M-estimation and derive corresponding sandwich estimators of their variances. The finite sample properties of the estimators and the proposed variance estimators are evaluated in simulations that reproduce designs from a previous simulation study in the literature of multi-valued treatment effects. The proposed variance estimators are investigated and compared to a bootstrap estimator.

Language
Englisch

Bibliographic citation
Series: Working Paper ; No. 2020:4

Classification
Wirtschaft
Semiparametric and Nonparametric Methods: General
Subject
ATT
causal inference
inverse probability weighting
doubly robust
weighted ordinary least squares

Event
Geistige Schöpfung
(who)
Zetterqvist, Johan
Waernbaum, Ingeborg
Event
Veröffentlichung
(who)
Institute for Evaluation of Labour Market and Education Policy (IFAU)
(where)
Uppsala
(when)
2020

Handle
Last update
10.03.2025, 11:43 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Zetterqvist, Johan
  • Waernbaum, Ingeborg
  • Institute for Evaluation of Labour Market and Education Policy (IFAU)

Time of origin

  • 2020

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