Problem of the Week
Hilton Memorial Lecture
Department of Mathematical Sciences
|DATE:||Thursday, March 11, 2021|
|TIME:||1:15pm – 2:15pm|
|SPEAKER:||Xinhai Zhang, Binghamton University|
|TITLE:||A Simple Method for Estimating Interactions Between a Treatment and a Large Number of Covariates|
In the paper 'A Simple Method for Estimating Interactions Between a Treatment and a Large Number of Covariates’ by Lu TIAN, Ash A. ALIZADEH, Andrew J. GENTLES, and Robert TIBSHIRANI, they 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. They 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.