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Publications
Publications
  • 2025
  • Article
  • Journal of Business & Economic Statistics

Statistical Inference for Heterogeneous Treatment Effects Discovered by Generic Machine Learning in Randomized Experiments

By: Kosuke Imai and Michael Lingzhi Li
  • Format:Print
  • | Pages:13
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Abstract

Researchers are increasingly turning to machine learning (ML) algorithms to investigate causal heterogeneity in randomized experiments. Despite their promise, ML algorithms may fail to accurately ascertain heterogeneous treatment effects under practical settings with many covariates and small sample size. In addition, the quantification of estimation uncertainty remains a challenge. We develop a general approach to statistical inference for heterogeneous treatment effects discovered by a generic ML algorithm. We apply the Neyman's repeated sampling framework to a common setting, in which researchers use an ML algorithm to estimate the conditional average treatment effect and then divide the sample into several groups based on the magnitude of the estimated effects. We show how to estimate the average treatment effect within each of these groups, and construct a valid confidence interval. In addition, we develop nonparametric tests of treatment effect homogeneity across groups, and rank-consistency of within-group average treatment effects. The validity of our methodology does not rely on the properties of ML algorithms because it is solely based on the randomization of treatment assignment and random sampling of units. Finally, we generalize our methodology to the cross-fitting procedure by accounting for the additional uncertainty induced by the random splitting of data.

Keywords

AI and Machine Learning; Mathematical Methods; Analytics and Data Science

Citation

Imai, Kosuke, and Michael Lingzhi Li. "Statistical Inference for Heterogeneous Treatment Effects Discovered by Generic Machine Learning in Randomized Experiments." Journal of Business & Economic Statistics 43, no. 1 (2025): 256–268.
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About The Author

Michael Lingzhi Li

Technology and Operations Management
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    • 2024
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    Neyman Meets Causal Machine Learning: Experimental Evaluation of Individualized Treatment Rules

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More from the Authors
  • Slowly Varying Regression Under Sparsity By: Dimitris Bertsimas, Vassilis Digalakis Jr, Michael Lingzhi Li and Omar Skali Lami
  • Branch-and-Price for Prescriptive Contagion Analytics By: Alexandre Jacquillat, Michael Lingzhi Li, Martin Ramé and Kai Wang
  • Neyman Meets Causal Machine Learning: Experimental Evaluation of Individualized Treatment Rules By: Michael Lingzhi Li and Kosuke Imai
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