Abstract:
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We will present a historical accounts of various extensions of the classical Wilcoxon rank-sum test to clustered data settings. Specific emphasis will be given to the ones targeted for various types of informativeness in the cluster size. Recently, one such rank-sum test (Dutta & Datta, 2016, Biometrics 72, 432-40) was developed to compare the group specific marginal distributions of outcomes in clustered data where the conditional distributions of outcomes depend on the number of observations from that group in a given cluster, a phenomenon referred to as informative intra-cluster group size. We will consider extensions of these results to more general covariates.
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