Abstract
Various Improved Approximations to Distributions of Quadratic Test Statistics for Dependent Rank Sums
Highlights
Kawaguchi et al consider tests of equality of means for multivariate responses, in the presence of covariates, stratification, and tied and missing data
This paper presents a modified chi-square approximation to the distribution of test statistics arising from multivariate ranked data
They propose inference based on approximating the joint distribution of Wilcoxon rank sum statistics as multivariate normal, with an estimated covariance matrix
Summary
Kawaguchi et al consider tests of equality of means for multivariate responses, in the presence of covariates, stratification, and tied and missing data. The modification arises from an improvement to the estimated variance matrix of the responses and from corrections for continuity and skewness and kurtosis of the rank sum statistics. They propose inference based on approximating the joint distribution of Wilcoxon rank sum statistics as multivariate normal, with an estimated covariance matrix.
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