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Analysis of mixed correlated bivariate binomial and continuous responses. (English) Zbl 1281.62235

Summary: A general model for mixed correlated negative binomial and continuous responses is proposed. It is shown how to construct parameter of the models, using the maximization of the full likelihood. Influence of a small perturbation of the correlation parameter of the model on the likelihood displacement is also studied. The model is applied to medical data, obtained from an observational study on women, where the correlated responses are the negative binomial response of joint damages and continuous responses of the body mass index. Simultaneous effects of some covariates on both responses are investigated.

MSC:

62P10 Applications of statistics to biology and medical sciences; meta analysis
62N02 Estimation in survival analysis and censored data
62H20 Measures of association (correlation, canonical correlation, etc.)
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