Artikel

Efficiency of average treatment effect estimation when the true propensity is parametric

It is well known that efficient estimation of average treatment effects can be obtained by the method of inverse propensity score weighting, using the estimated propensity score, even when the true one is known. When the true propensity score is unknown but parametric, it is conjectured from the literature that we still need nonparametric propensity score estimation to achieve the efficiency. We formalize this argument and further identify the source of the efficiency loss arising from parametric estimation of the propensity score. We also provide an intuition of why this overfitting is necessary. Our finding suggests that, even when we know that the true propensity score belongs to a parametric class, we still need to estimate the propensity score by a nonparametric method in applications.

Sprache
Englisch

Erschienen in
Journal: Econometrics ; ISSN: 2225-1146 ; Volume: 7 ; Year: 2019 ; Issue: 2 ; Pages: 1-13 ; Basel: MDPI

Klassifikation
Wirtschaft
Semiparametric and Nonparametric Methods: General
Methodological Issues: General
Single Equation Models; Single Variables: Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions
Thema
average treatment effect
efficiency bound
propensity score
sieve MLE

Ereignis
Geistige Schöpfung
(wer)
Kim, Kyoo Il
Ereignis
Veröffentlichung
(wer)
MDPI
(wo)
Basel
(wann)
2019

DOI
doi:10.3390/econometrics7020025
Handle
Letzte Aktualisierung
10.03.2025, 11:45 MEZ

Datenpartner

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Objekttyp

  • Artikel

Beteiligte

  • Kim, Kyoo Il
  • MDPI

Entstanden

  • 2019

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