Do dropouts suffer from dropping out? Estimation and prediction of outcome gains in generalized selection models
辍学者会因辍学受损吗?广义选择模型中的结果增益估计与预测AI 解读 ↓
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辍学者会因辍学受损吗?广义选择模型中的结果增益估计与预测AI 解读 ↓
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Abstract In this paper we describe methods for predicting distributions of outcome gains in the framework of a latent variable selection model. We describe such procedures for Student‐ t selection models and a finite mixture of Gaussian selection models. Importantly, our algorithms for fitting these models are simple to implement in practice, and also permit learning to take place about the non‐identified cross‐regime correlation parameter. Using data from High School and Beyond, we apply our methods to determine the impact of dropping out of high school on a math test score taken at the senior year of high school. Our results show that selection bias is an important feature of this data, that our beliefs about this non‐identified correlation are updated from the data, and that generalized models of selectivity offer an improvement over the ‘textbook’ Gaussian model. Further, our results indicate that on average dropping out of high school has a large negative impact on senior‐year test scores. However, for those individuals who actually drop out of high school, the act of dropping out of high school does not have a significantly negative impact on test scores. This suggests that policies aimed at keeping students in school may not be as beneficial as first thought, since those individuals who must be induced to stay in school are not the ones who benefit significantly (in terms of test scores) from staying in school. Copyright © 2004 John Wiley & Sons, Ltd.
利用替代指标辅助缺失主要结局的高效跨总体分布与分位数处理效应估计
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组间不平衡下的风险异质性稳健推断
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We introduce the Sinkhorn treatment effect, an entropic optimal transport measure of divergence between counterfactual distributions. Unlike classical quantities such as the average treatment effect, this measure captures differences across entire distributions. We analyze this divergence as a statistical functional and show it can be written as a smooth transformation of counterfactual mean embeddings with an appropriate kernel. This characterization allows us to establish…