Constructing a T ‐Test for Value Function Comparison of Individualized Treatment Regimes in the Presence of Multiple Imputation for Missing Data

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Hauptverfasser: Minxin Lu, Annie Green Howard, Penny Gordon‐Larsen, Katie A. Meyer, Hsiao‐Chuan Tien, Shufa Du, Huijun Wang, Bing Zhang, Michael R. Kosorok
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Veröffentlicht: Wiley 2025
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author Minxin Lu
Annie Green Howard
Penny Gordon‐Larsen
Katie A. Meyer
Hsiao‐Chuan Tien
Shufa Du
Huijun Wang
Bing Zhang
Michael R. Kosorok
author_facet Minxin Lu
Annie Green Howard
Penny Gordon‐Larsen
Katie A. Meyer
Hsiao‐Chuan Tien
Shufa Du
Huijun Wang
Bing Zhang
Michael R. Kosorok
Minxin Lu
Annie Green Howard
Penny Gordon‐Larsen
Katie A. Meyer
Hsiao‐Chuan Tien
Shufa Du
Huijun Wang
Bing Zhang
Michael R. Kosorok
collection Wiley Open Access
contents Constructing a T ‐Test for Value Function Comparison of Individualized Treatment Regimes in the Presence of Multiple Imputation for Missing Data Minxin Lu Annie Green Howard Penny Gordon‐Larsen Katie A. Meyer Hsiao‐Chuan Tien Shufa Du Huijun Wang Bing Zhang Michael R. Kosorok Statistics in Medicine ABSTRACT Optimal individualized treatment decision‐making has improved health outcomes in recent years. The value function is commonly used to evaluate the goodness of an individualized treatment decision rule. Despite recent advances, comparing value functions between different treatment decision rules or constructing confidence intervals around value functions remains difficult. We propose a t ‐test based method applied to a test set that generates valid p ‐values to compare value functions between a given pair of treatment decision rules when some of the data are missing. We demonstrate the ease in use of this method and evaluate its performance via simulation studies and apply it to the China Health and Nutrition Survey data. 10.1002/sim.70210 http://onlinelibrary.wiley.com/termsAndConditions#vor
doi_str_mv 10.1002/sim.70210
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spellingShingle Constructing a T ‐Test for Value Function Comparison of Individualized Treatment Regimes in the Presence of Multiple Imputation for Missing Data
Minxin Lu
Annie Green Howard
Penny Gordon‐Larsen
Katie A. Meyer
Hsiao‐Chuan Tien
Shufa Du
Huijun Wang
Bing Zhang
Michael R. Kosorok
Statistics in Medicine
Constructing a T ‐Test for Value Function Comparison of Individualized Treatment Regimes in the Presence of Multiple Imputation for Missing Data Minxin Lu Annie Green Howard Penny Gordon‐Larsen Katie A. Meyer Hsiao‐Chuan Tien Shufa Du Huijun Wang Bing Zhang Michael R. Kosorok Statistics in Medicine ABSTRACT Optimal individualized treatment decision‐making has improved health outcomes in recent years. The value function is commonly used to evaluate the goodness of an individualized treatment decision rule. Despite recent advances, comparing value functions between different treatment decision rules or constructing confidence intervals around value functions remains difficult. We propose a t ‐test based method applied to a test set that generates valid p ‐values to compare value functions between a given pair of treatment decision rules when some of the data are missing. We demonstrate the ease in use of this method and evaluate its performance via simulation studies and apply it to the China Health and Nutrition Survey data. 10.1002/sim.70210 http://onlinelibrary.wiley.com/termsAndConditions#vor
title Constructing a T ‐Test for Value Function Comparison of Individualized Treatment Regimes in the Presence of Multiple Imputation for Missing Data
topic Statistics in Medicine
url https://onlinelibrary.wiley.com/doi/10.1002/sim.70210