On true versus estimated propensity scores for treatment effect estimation with discrete controls

Autor: Herren, Andrew, Hahn, P. Richard
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: The finite sample variance of an inverse propensity weighted estimator is derived in the case of discrete control variables with finite support. The obtained expressions generally corroborate widely-cited asymptotic theory showing that estimated propensity scores are superior to true propensity scores in the context of inverse propensity weighting. However, similar analysis of a modified estimator demonstrates that foreknowledge of the true propensity function can confer a statistical advantage when estimating average treatment effects.
Databáze: arXiv