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Covariance structure models for clustered proportions

Author

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  • Yao, Tzy-Jyun
  • Reinsel, Gregory C.

Abstract

Covariance structures as functions of the means and extra-variation and correlation parameters are presented to model proportions correlated due to random clustering effects. The mean structures are specified by logistic regressions with proportion-specific covariates. The maximum quasi-likelihood/moment estimating functions for all the parameters are constructed. The resulting estimators are asymptotically normal. A general quasi-score test procedure is developed for testing the significance of any subset of the parameters. The small sample properties are studied through simulations. An illustrative example is included.

Suggested Citation

  • Yao, Tzy-Jyun & Reinsel, Gregory C., 1996. "Covariance structure models for clustered proportions," Statistics & Probability Letters, Elsevier, vol. 29(1), pages 61-70, August.
    • Handle: RePEc:eee:stapro:v:29:y:1996:i:1:p:61-70
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