Generalized two‐sample U‐statistics for clustered data

Mei‐Ling Ting Lee and Herold G. Dehling

Statistica Neerlandica, 2005, vol. 59, issue 3, 313-323

Abstract: In this paper we investigate two‐sample U‐statistics in the case of clusters of repeated measurements observed on individuals from independent populations. The observations on the i‐th individual in the first population are denoted by , 1 ≤ i ≤ m, and those on the k‐th individual in the second population are denoted by , 1 ≤ k ≤ n. Given the kernel φ(x, y), we define the generalized two‐sample U‐statistic by We derive the asymptotic distribution of Um,n for large sample sizes. As an application we study the generalized Mann–Whitney–Wilcoxon rank sum test for clustered data.

Date: 2005
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