Multi‐stage transitional models with random effects and their application to the Einstein aging study

• Published in: Biometrical journal Vol. 53; no. 6; pp. 938 - 955
• Main Authors: Song, Changhong, Kuo, Lynn, Derby, Carol A., Lipton, Richard B., Hall, Charles B.
• Format: Journal Article
• Language: English
• Published: Weinheim WILEY‐VCH Verlag 01.11.2011; Wiley-VCH; Wiley - VCH Verlag GmbH & Co. KGaA
• Subjects: Aged, 80 and over; Aging; Aging - physiology; Analysis of Variance; Applications; Biology, psychology, social sciences; Biometry - methods; Cognition; Cognition - physiology; Cognitive ability; Correlation analysis; Dementia; Dementia disorders; Evaluation; Exact sciences and technology; Female; General topics; Generalized logit; Humans; Longitudinal studies; Male; Markov Chains; Markov processes; Mathematics; Models, Statistical; Multivariate analysis; Multi‐stage; Probability and statistics; Probability theory and stochastic processes; Proportional odds; Random effects; Regression Analysis; Risk analysis; Risk assessment; Risk Factors; Sciences and techniques of general use; Statistics; Survival Analysis; Transition; Transition probabilities; Biometrics; Correlation; Goodness of fit test; Life science; Psychometrics; Random effects; Statistical association; Akaike information criterion; Multivariate analysis; Covariate; Multi-stage; Statistical method; Proportional odds; Model matching; Correlation analysis; Risk factor; Transition probability; Transition; Random effect; Numerical stability; Generalized logit

Longitudinal studies of aging often gather repeated observations of cognitive status to describe the development of dementia and to assess the influence of risk factors. Clinical progression to dementia is often conceptualized by a multi‐stage model of several transitions that synthesizes time‐varyi...