A mixed effects model for multivariate ordinal response data including correlated discrete failure times with ordinal responses.

T R Ten Have

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PubMed · 8672699

A mixed effects model for multivariate ordinal response data including correlated discrete failure times with ordinal responses.

T R Ten Have

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Abstract

The mixed effects model for binary responses due to Conaway (1990, A Random Effects Model for Binary Data) is extended to accommodate ordinal responses in general and discrete time survival data with ordinal responses in particular. Given a multinomial likelihood, cumulative complementary log-log link function, and log-gamma random effects distribution, the resulting marginal likelihood has a closed form. As a result, a Newton-Raphson estimation procedure is feasible without resorting to numerical, approximation-based, or Monte Carlo integration techniques. The parameters in the model have a proportional hazards interpretation in terms of multivariate discrete time data with ordinal responses. Using data from a psychological example, the proposed method is compared with other mixed effects approaches as well as population-averaged models.

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Biometry Child Child, Preschool Data Interpretation, Statistical Humans Likelihood Functions Models, Statistical Multivariate Analysis Proportional Hazards Models Psychological Tests Survival Analysis Journal Article Research Support, U.S. Gov't, P.H.S.

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T R Ten Have. 1996. A mixed effects model for multivariate ordinal response data including correlated discrete failure times with ordinal responses.. https://pubmed.ncbi.nlm.nih.gov/8672699/

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