Statistical models for longitudinal biomarkers of disease onset

• Published in: Statistics in medicine Vol. 19; no. 4; pp. 617 - 637
• Main Authors: Slate, Elizabeth H., Turnbull, Bruce W.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 29-02-2000; Wiley
• Subjects: Algorithms; Bayes Theorem; Biological and medical sciences; Biomarkers; Computerized, statistical medical data processing and models in biomedicine; Humans; Longitudinal Studies; Male; Medical sciences; Medical statistics; Models, Statistical; Prostate-Specific Antigen; Prostatic Neoplasms - diagnosis; ROC Curve; Disease development; Bayes estimation; Human; Urinary system disease; Prostate disease; Biological marker; Change point; Malignant tumor; Hierarchized structure; Prostate specific antigen; Onset time; Regression model; Statistical model; Receiver operating characteristic curves; Longitudinal distribution; Maximum likelihood; Male genital diseases; Prostate; Monitoring
• ISSN: 0277-6715; 1097-0258
• DOI: 10.1002/(SICI)1097-0258(20000229)19:4<617::AID-SIM360>3.0.CO;2-R

We consider the analysis of serial biomarkers to screen and monitor individuals in a given population for onset of a specific disease of interest. The biomarker readings are subject to error. We survey some of the existing literature and concentrate on two recently proposed models. The first is a fully Bayesian hierarchical structure for a mixed effects segmented regression model. Posterior estimates of the changepoint (onset time) distribution are obtained by Gibbs sampling. The second is a hidden changepoint model in which the onset time distribution is estimated by maximum likelihood using the EM algorithm. Both methods lead to a dynamic index that represents a strength of evidence that onset has occurred by the current time in an individual subject. The methods are applied to some large data sets concerning prostate specific antigen (PSA) as a serial marker for prostate cancer. Rules based on the indices are compared to standard diagnostic criteria through the use of ROC curves adapted for longitudinal data. Copyright © 2000 John Wiley & Sons, Ltd.