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Activity Number: 537
Type: Contributed
Date/Time: Wednesday, August 7, 2013 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistics in Epidemiology
Abstract - #310025
Title: A Generalized Kruskal-Wallis Test Incorporating Group Uncertainty with Application to Genetic Association Studies
Author(s): Elif Acar*+ and Lei Sun
Companies: University of Manitoba and University of Toronto
Keywords: Genome-wide association studies ; Imputation ; k-sample problem ; Nonparametric tests ; Probabilistic data ; Ranks
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.


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