Maximin Projection Learning for Optimal Treatment Decision with Heterogeneous Individualized Treatment Effects.

TitleMaximin Projection Learning for Optimal Treatment Decision with Heterogeneous Individualized Treatment Effects.
Publication TypeJournal Article
Year of Publication2018
AuthorsShi, Chengchun, Rui Song, Wenbin Lu, and Bo Fu
JournalJ R Stat Soc Series B Stat Methodol
Volume80
Issue4
Pagination681-702
Date Published2018 Sep
ISSN1369-7412
Abstract

A saline feature of data from clinical trials and medical studies is inhomogeneity. Patients not only differ in baseline characteristics, but also the way they respond to treatment. Optimal individualized treatment regimes are developed to select effective treatments based on patient's heterogeneity. However, the optimal treatment regime might also vary for patients across different subgroups. In this paper, we mainly consider patient's heterogeneity caused by groupwise individualized treatment effects assuming the same marginal treatment effects for all groups. We propose a new maximin-projection learning for estimating a single treatment decision rule that works reliably for a group of future patients from a possibly new subpopulation. Based on estimated optimal treatment regimes for all subgroups, the proposed maximin treatment regime is obtained by solving a quadratically constrained linear programming (QCLP) problem, which can be efficiently computed by interior-point methods. Consistency and asymptotic normality of the estimator is established. Numerical examples show the reliability of the proposed methodology.

DOI10.1111/rssb.12273
Alternate JournalJ R Stat Soc Series B Stat Methodol
Original PublicationMaximin projection learning for optimal treatment decision with heterogeneous individualized treatment effects.
PubMed ID30555269
PubMed Central IDPMC6289536
Grant ListMR/M025152/2 / MRC_ / Medical Research Council / United Kingdom
P01 CA142538 / CA / NCI NIH HHS / United States
Project: