Data-adaptive efficient estimation strategies for biomarker studies embedded in randomized trials
Wei Zhang, Zhiwei Zhang, James F. Troendle, Aiyi Liu
The Annals of Applied Statistics · 2022 · Volume 16 · Issue 4
Abstract
Predictive and prognostic biomarkers are increasingly important in clinical research and practice. Biomarker studies are frequently embedded in randomized clinical trials with biospecimens collected at baseline and assayed for biomarkers, either in real time or retrospectively. This article proposes efficient estimation strategies for two study settings in terms of biomarker ascertainment: a complete-data setting in which the biomarker is measured for all subjects in the trial, and a two-phase sampling design in which the biomarker is measured retrospectively for a random subsample of subjects selected in an outcome-dependent fashion. In both settings, efficient estimating functions are characterized using semiparametric theory and approximated using data-adaptive machine learning methods, leading to estimators that are consistent, asymptotically normal and (approximately) efficient under general conditions. The proposed methods are evaluated in simulation studies and applied to real data from two biomarker studies, one in each setting.
Keywords
augmentation, Precision medicine, semiparametric theory, super learner, two-phase sampling
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