Partially Identified Heterogeneous Treatment Effect with Selection: An Application to Gender Gaps

Fuente: arXiv
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Auteurs principaux: Sun, Xiaolin, Zhao, Xueyan, Poskitt, D. S.
Format: Preprint
Publié: 2024
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author Sun, Xiaolin
Zhao, Xueyan
Poskitt, D. S.
author_facet Sun, Xiaolin
Zhao, Xueyan
Poskitt, D. S.
contents This paper addresses the sample selection model within the context of the gender gap problem, where even random treatment assignment is affected by selection bias. By offering a robust alternative free from distributional or specification assumptions, we bound the treatment effect under the sample selection model with an exclusion restriction, an assumption whose validity is tested in the literature. This exclusion restriction allows for further segmentation of the population into distinct types based on observed and unobserved characteristics. For each type, we derive the proportions and bound the gender gap accordingly. Notably, trends in type proportions and gender gap bounds reveal an increasing proportion of always-working individuals over time, alongside variations in bounds, including a general decline across time and consistently higher bounds for those in high-potential wage groups. Further analysis, considering additional assumptions, highlights persistent gender gaps for some types, while other types exhibit differing or inconclusive trends. This underscores the necessity of separating individuals by type to understand the heterogeneous nature of the gender gap.
format Preprint
id arxiv_https___arxiv_org_abs_2410_01159
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Partially Identified Heterogeneous Treatment Effect with Selection: An Application to Gender Gaps
Sun, Xiaolin
Zhao, Xueyan
Poskitt, D. S.
Econometrics
This paper addresses the sample selection model within the context of the gender gap problem, where even random treatment assignment is affected by selection bias. By offering a robust alternative free from distributional or specification assumptions, we bound the treatment effect under the sample selection model with an exclusion restriction, an assumption whose validity is tested in the literature. This exclusion restriction allows for further segmentation of the population into distinct types based on observed and unobserved characteristics. For each type, we derive the proportions and bound the gender gap accordingly. Notably, trends in type proportions and gender gap bounds reveal an increasing proportion of always-working individuals over time, alongside variations in bounds, including a general decline across time and consistently higher bounds for those in high-potential wage groups. Further analysis, considering additional assumptions, highlights persistent gender gaps for some types, while other types exhibit differing or inconclusive trends. This underscores the necessity of separating individuals by type to understand the heterogeneous nature of the gender gap.
title Partially Identified Heterogeneous Treatment Effect with Selection: An Application to Gender Gaps
topic Econometrics
url https://arxiv.org/abs/2410.01159