A Generalized Kruskal-Wallis Test Incorporating Group Uncertainty with Application to Genetic Association Studies
Methodology
2012-05-03 v1
Abstract
Motivated by genetic association studies of SNPs with genotype uncertainty, we propose a generalization of the Kruskal-Wallis test that incorporates group uncertainty when comparing k samples. The extended test statistic is based on probability-weighted rank-sums and follows an asymptotic chi-square distribution with k-1 degrees of freedom under the null hypothesis. Simulation studies confirm the validity and robustness of the proposed test in finite samples. Application to a genome-wide association study of type 1 diabetic complications further demonstrates the utilities of this generalized Kruskal-Wallis test for studies with group uncertainty.
Keywords
Cite
@article{arxiv.1205.0534,
title = {A Generalized Kruskal-Wallis Test Incorporating Group Uncertainty with Application to Genetic Association Studies},
author = {Elif F. Acar and Lei Sun},
journal= {arXiv preprint arXiv:1205.0534},
year = {2012}
}