Applying the Cox proportional hazards model when the change time of a binary time-varying covariate is interval censored

Biometrics
W B GogginsA M Zaslavsky

Abstract

This paper develops methodology for estimation of the effect of a binary time-varying covariate on failure times when the change time of the covariate is interval censored. The motivating example is a study of cytomegalovirus (CMV) disease in patients with human immunodeficiency virus (HIV) disease. We are interested in determining whether CMV shedding predicts an increased hazard for developing active CMV disease. Since a clinical screening test is needed to detect CMV shedding, the time that shedding begins is only known to lie in an interval bounded by the patient's last negative and first positive tests. In a Cox proportional hazards model with a time-varying covariate for CMV shedding, the partial likelihood depends on the covariate status of every individual in the risk set at each failure time. Due to interval censoring, this is not always known. To solve this problem, we use a Monte Carlo EM algorithm with a Gibbs sampler embedded in the E-step. We generate multiple completed data sets by drawing imputed exact shedding times based on the joint likelihood of the shedding times and event times under the Cox model. The method is evaluated using a simulation study and is applied to the data set described above.

References

Apr 1, 1980·The Journal of Allergy and Clinical Immunology·S R Hirsch, J H Kalbfleisch

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Citations

Sep 24, 2013·Accident; Analysis and Prevention·David E ClarkRebecca A Betensky
Jul 6, 2013·Journal of Multivariate Analysis·Baojiang Chen, Xiao-Hua Zhou
Sep 14, 2000·Biometrics·W B Goggins, D M Finkelstein
Mar 14, 2002·Biometrics·Rebecca A Betensky, Dianne M Finkelstein
Jun 20, 2002·Biometrics·Dianne M FinkelsteinDavid A Schoenfeld
Jan 17, 2003·Statistics in Medicine·Guadalupe GómezStephen W Lagakos
Sep 28, 2004·Statistics in Medicine·Klaus LangohrRobert Muga
Jan 26, 2008·Biometrics·Richard J CookKer-Ai Lee
Mar 12, 2011·Statistics in Medicine·David A SchoenfeldDianne M Finkelstein
Sep 17, 2009·Biometrics·Dianne M FinkelsteinDavid A Schoenfeld
Apr 15, 2011·Biometrical Journal. Biometrische Zeitschrift·Baojiang Chen, Xiao-Hua Zhou
Dec 14, 2011·Statistics in Medicine·Núria PortaGuadalupe Gómez
May 19, 2018·Biometrical Journal. Biometrische Zeitschrift·Soohyun AhnMitchell S Elkind

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