Correlated binomial variates: Properties of estimator of intraclass correlation and its effect on sample size calculation
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TL;DR
This work compares by simulation the moment method and the more standard ANOVA method of estimating the intraclass correlation and finds the former is less biased for a small to moderate number of clusters but the difference disappears when the appropriate degree of freedom is used for the ANOVA estimator.
Abstract
In group randomized studies, the sample size calculations are complicated by within group (worksite, community, etc.) correlation. We compare by simulation the moment method and the more standard ANOVA method of estimating the intraclass correlation. We find the former is less biased for a small to moderate number of clusters but the difference disappears when the appropriate degree of freedom is used for the ANOVA estimator. We propose a simulation approach for sample size determination and illustrate it with an example.