A Simple Method for Estimating Interactions between a Treatment and a Large Number of Covariates

Journal of the American Statistical Association
Lu TianRobert Tibshirani

Abstract

We consider a setting in which we have a treatment and a potentially large number of covariates for a set of observations, and wish to model their relationship with an outcome of interest. We propose a simple method for modeling interactions between the treatment and covariates. The idea is to modify the covariate in a simple way, and then fit a standard model using the modified covariates and no main effects. We show that coupled with an efficiency augmentation procedure, this method produces clinically meaningful estimators in a variety of settings. It can be useful for practicing personalized medicine: determining from a large set of biomarkers the subset of patients that can potentially benefit from a treatment. We apply the method to both simulated datasets and real trial data. The modified covariates idea can be used for other purposes, for example, large scale hypothesis testing for determining which of a set of covariates interact with a treatment variable.

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Citations

Jul 7, 2016·Proceedings of the National Academy of Sciences of the United States of America·Adam BloniarzBin Yu
Jul 7, 2016·Proceedings of the National Academy of Sciences of the United States of America·Susan Athey, Guido Imbens
Nov 3, 2016·Biometrical Journal. Biometrische Zeitschrift·Changyu ShenAlfred E Buxton
Oct 21, 2016·Biometrical Journal. Biometrische Zeitschrift·Andrea CallegaroHans C van Houwelingen
Feb 2, 2017·Statistics in Medicine·Xin HuangViswanath Devanarayan
Mar 28, 2017·The International Journal of Biostatistics·Zhiwei ZhangGuoxing Soon
Feb 2, 2018·Statistics in Medicine·Marius ThomasHeidi Seibold
Mar 7, 2018·Statistics in Medicine·Scott PowersRobert Tibshirani
May 5, 2018·Bioinformatics·Konstantinos SechidisGavin Brown
Feb 23, 2019·Journal of Biopharmaceutical Statistics·Aniek SiesIven Van Mechelen
Oct 27, 2018·Biometrics·Xinlei MiRuoqing Zhu
Jul 17, 2019·Journal of Biopharmaceutical Statistics·Sheng FuYufeng Liu
Aug 29, 2019·Statistics in Medicine·Shonosuke Sugasawa, Hisashi Noma
Sep 22, 2019·The International Journal of Biostatistics·Shujie MaMingming Liu
Nov 12, 2019·Annals of Internal Medicine·David M KentEwout W Steyerberg
Nov 12, 2019·Annals of Internal Medicine·David M KentEwout W Steyerberg
Dec 19, 2019·Journal of Clinical Oncology : Official Journal of the American Society of Clinical Oncology·Richard F SchlenkHartmut Döhner
Dec 22, 2019·Statistics in Medicine·Julia KrzykallaAnnette Kopp-Schneider
Feb 18, 2018·Statistical Applications in Genetics and Molecular Biology·Jean-Eudes DazardPeter Zimmerman
Apr 16, 2020·Biometrics·Shonosuke Sugasawa, Hisashi Noma
Aug 19, 2020·Biostatistics·Hyung ParkR Todd Ogden
Jun 13, 2015·Clinical Trials : Journal of the Society for Clinical Trials·Herbert I Weisberg, Victor P Pontes
Jan 1, 2016·Stat : the ISI's Journal for Rapid Dissemination of Statistics Research·Adam CiarleglioR Todd Ogden
Feb 17, 2019·Proceedings of the National Academy of Sciences of the United States of America·Sören R KünzelBin Yu
Mar 13, 2019·Journal of Biopharmaceutical Statistics·Yang LiuMing-Hui Chen
May 11, 2019·Annual Review of Statistics and Its Application·Michael R Kosorok, Eric B Laber

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Datasets Mentioned

BETA
GSE6532

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