Mixed effects models with bivariate and univariate association parameters for longitudinal bivariate binary response data

Biometrics
T R Ten Have, Alfredo Morabia

Abstract

When two binary responses are measured for each study subject across time, it may be of interest to model how the bivariate associations and marginal univariate risks involving the two responses change across time. To achieve such a goal, marginal models with bivariate log odds ratio and univariate logit components are extended to include random effects for all components. Specifically, separate normal random effects are specified on the log odds ratio scale for bivariate responses and on the logit scale for univariate responses. Assuming conditional independence given the random effects facilitates the modeling of bivariate associations across time with missing at random incomplete data. We fit the model to a dataset for which such structures are feasible: a longitudinal randomized trial of a cardiovascular educational program where the responses of interest are change in hypertension and hypercholestemia status. The proposed model is compared to a naive bivariate model that assumes independence between time points and univariate mixed effects logit models.

Citations

Apr 3, 2002·Journal of Clinical Epidemiology·Alfredo MorabiaFrançois Ferrero
Mar 14, 2009·Hypertension Research : Official Journal of the Japanese Society of Hypertension·Yoshiji YamadaHiroshi Shimokata
Oct 12, 2000·Journal of Women's Health & Gender-based Medicine·C M MazureM Killien
Nov 15, 2011·American Journal of Epidemiology·Charles C BranasThomas R Ten Have
Oct 17, 2014·Statistics in Medicine·Bingrui Sun, Brajendra Sutradhar
Jul 13, 2006·Statistics in Medicine·David TodemEmmanuel Lesaffre
Jul 22, 2015·Journal of the American Statistical Association·Xiangrong KongRonald Gray
Oct 14, 2016·American Journal of Public Health·Charles C BranasJohn M MacDonald
Apr 24, 2012·Statistical Methods in Medical Research·Geert VerbekeMarie Davidian
Jan 20, 2018·Biometrical Journal. Biometrische Zeitschrift·Kerrie P NelsonDon Edwards
Dec 13, 2006·Biometrics·Malay Naskar, Kalyan Das
Apr 29, 2021·Biometrics·Daniel NevoSebastien Haneuse

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