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Marginal Correlation in Longitudinal Binary Data Based on Generalized Linear Mixed Models |
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| Authors: | Tony Vangeneugden Geert Molenberghs Annouschka Laenen Helena Geys Caroline Beunckens Cristina Sotto |
| Institution: | 1. Tibotec, Johnson &2. Johnson , Mechelen, Belgium;3. I-BioStat, Hasselt University , Diepenbeek, Belgium tvangene@tibbe.jnj.com;5. I-BioStat, Hasselt University , Diepenbeek, Belgium;6. I-BioStat, Katholieke Universiteit Leuven , Leuven, Belgium;7. I-BioStat, Hasselt University , Diepenbeek, Belgium;8. Janssen Pharmaceutica, Johnson &9. Johnson , Beerse, Belgium;10. School of Statistics , University of the Philippines , Diliman, Quezon City, Philippines |
| Abstract: | This work aims at investigating marginal correlation within and between longitudinal data sequences. Useful and intuitive approximate expressions are derived based on generalized linear mixed models. Data from four double-blind randomized clinical trials are used to estimate the intra-class coefficient of reliability for a binary response. Additionally, the correlation between such a binary response and a continuous response is derived to evaluate the criterion validity of the binary response variable and the established continuous response variable. |
| Keywords: | Binary data Intraclass correlation Random effects Reliability Variances |