Journal of the Korean Data Analysis Society

Korean Data Analysis Society (한국자료분석학회)
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Goodness-of-Fit for the Clustered Binomial Models

  • Received : 2015.06.15
  • Accepted : 2015.08.16
  • Published : 2015.08.31
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Abstract

We sometimes encounter the violation of independence between binary responses within subjects in clustered data that is commonly observed in cluster randomized trials. Under this situation the standard statistical methods that assume binomial distribution are inappropriate to use. In cluster randomized trials we have a target for comparing homogeneity of proportions between several treatment groups. The standard Pearson chi-squared statistic applied to the clustered data has a tendency to inflate type I error. Many researchers studied various kinds of adjusted chi-squared statistics in analyzing clustered binary data by incorporating the variance inflation and the intra-class correlation. In this paper we suggest the likelihood ratio test and the Wald test based on generalized linear mixed model. We explain the testing procedure via practical examples and also compare the performances through a Monte Carlo study.

Keywords

Acknowledgement

Supported by : Research Institute for Basic Sciences, Pusan National University

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