Joint Analysis of Current Status and Marker Data: An Extension of a Bivariate Threshold Model

• Published in: The International Journal of Biostatistics Vol. 4; no. 1; pp. 21 - 34
• Main Authors: Tong, Xingwei, He, Xin, Sun, Jianguo, Lee, Mei-Ling T
• Format: Journal Article
• Language: English
• Published: Germany bepress 16.10.2008; De Gruyter; Berkeley Electronic Press
• Subjects: Animals; Biomarkers; Biostatistics - methods; bivariate Wiener process; current status data; Female; first-hitting-time model; General Biostatistics; Health Status; health status process; Humans; joint analysis; Likelihood Functions; Liver Neoplasms, Experimental - chemically induced; Liver Neoplasms, Experimental - pathology; Male; marker process; Mice; Models, Statistical; Statistical Models; Statistical Theory and Methods; Survival Analysis
• ISSN: 1557-4679; 1557-4679
• DOI: 10.2202/1557-4679.1122

Abstract This paper considers joint analysis of current status and marker data using a threshold model based on first hitting times. A failure time is defined as the time at which a subject's latent health status process first decreases to zero. We extend the bivariate Wiener process model in Whitmore et al. (1998) to the case when only current status data are available. We develop maximum likelihood estimation procedures and provide simulation studies. We apply our methods to a motivating example involving liver tumors in mice. Recommended Citation Tong, Xingwei; He, Xin; Sun, Jianguo; and Lee, Mei-Ling T. (2008) "Joint Analysis of Current Status and Marker Data: An Extension of a Bivariate Threshold Model," The International Journal of Biostatistics: Vol. 4 : Iss. 1, Article 21. DOI: 10.2202/1557-4679.1122 Available at: http://www.bepress.com/ijb/vol4/iss1/21