Effects of correlation in modeling clustered binary data
A simulation study is conducted to determine the effects of varying correlation structures on two estimation procedures used to model clustered binary data; a parametric model, the beta-binomial, and a non-parametric model, the exchangeable binary. The simulations detected bias in estimation of the mean response parameter and the correlation parameter when assuming a parametric model. In addition it was found that variance parameters can be severely underestimated if the correlation structure is considered strictly a nuisance parameter.
Journal of Statistical Computation and Simulation
Bowman, D. (2001). Effects of correlation in modeling clustered binary data. Journal of Statistical Computation and Simulation, 69 (4), 369-389. https://doi.org/10.1080/00949650108812101