Biomarkers are often measured in bulk to diagnose patients, monitor patient conditions, and research novel drug pathways. The measurement of these biomarkers often suffers from detection limits that result in missing and untrustworthy measurements. Frequently, missing biomarkers are imputed so that down-stream analysis can be conducted with modern statistical methods that cannot normally handle data subject to informative censoring. This work develops an empirical Bayes -modeling method for imputing and denoising biomarker measurements. We establish superior estimation properties compared to popular methods in simulations and with real data, providing the useful biomarker measurement estimations for down-stream analysis.
Keywords: empirical Bayes; left‐censored data; missing not at random; multiple imputation; nonparametric maximum likelihood; shrinkage estimation.
© 2024 The Author(s). Statistics in Medicine published by John Wiley & Sons Ltd.