Concordance and value information criteria for optimal treatment decision

Shi, Chengchun ORCID: 0000-0001-7773-2099, Song, R and Lu, W (2021) Concordance and value information criteria for optimal treatment decision. Annals of Statistics, 49 (1). 49 - 75. ISSN 0090-5364

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Abstract

Personalized medicine is a medical procedure that receives considerable scientific and commercial attention. The goal of personalized medicine is to assign the optimal treatment regime for each individual patient, according to his/her personal prognostic information. When there are a large number of pretreatment variables, it is crucial to identify those important variables that are necessary for treatment decision making. In this paper, we study two information criteria: the concordance and value information criteria, for variable selection in optimal treatment decision making. We consider both fixedp and high dimensional settings, and show our information criteria are consistent in model/tuning parameter selection. We further apply our information criteria to four estimation approaches, including robust learning, concordance-assisted learning, penalized A-learning, and sparse concordance-assisted learning, and demonstrate the empirical performance of our methods by simulations.

Item Type:	Article
Official URL:	https://projecteuclid.org/euclid.aos
Additional Information:	© 2021 Institute of Mathematical Statistics
Divisions:	Statistics
Subjects:	H Social Sciences > HA Statistics
Date Deposited:	15 Oct 2019 12:06
Last Modified:	15 Nov 2024 18:03
URI:	http://eprints.lse.ac.uk/id/eprint/102105

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