A Multistage Model for Analyzing Repeated Observations on Depression in Elderly
A Multistage Model for Analyzing Repeated Observations on Depression in Elderly
Festschrift in honor of Distinguished Professor Mir Masoom Ali On the occasion of his retirement May 18-19, 2007, pages 44-54
AMS (2000) subject classification: 62N01, 62N02
M. Ataharul Islam* Professor School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia
Rafiqul I Chowdhury Senior Lecturer, Department of Health Information Administration,Faculty of Allied Health Sciences,Kuwait University, Kuwait
Shahariar Huda Professor Department of Statistics and OR, College of Science, Kuwait University, Kuwait
- Corresponding Author: E-mail: mataharul@yahoo.com
Abstract[عدل]
The problem of depression in elderly, in terms of short and long-term health and economic consequence, needs to be assessed more critically. This study uses the longitudinal data from the six waves of the Health and Retirement Survey to examine the transition to depression, reverse transition from depression to no depression and also repeated transition from no depression to depression after experiencing a reverse transition during a study period. Covariate-dependent Markov models are proposed using the logistic link function based on the Chapman-Kolmogorov equation. A simplified and more flexible approach of constructing the likelihood function is demonstrated in this paper to deal with the branching of a number of transition types starting from a group of subjects with no depression at the beginning of the study.
