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Recent developments in research have heightened the need for different kinds of analysis methods. The mixed-effects logistic model is popular in analyzing correlated binary data. However, this model sometimes suffers from collinearity problems. In this article, we introduced a new type of estimator based on Liu-estimators to face this issue. Simulation shows the precision of the new estimator in terms of the mean square errors are better than the restricted maximum likelihood estimator. Finally, the proposed method was applied in a dataset related to the female sexual function.

A new estimator to control collinearity problems in correlated binary response