Title
Permutation test for incomplete paired data with application to cDNA microarray data
Abstract
A paired data set is common in microarray experiments, where the data are often incompletely observed for some pairs due to various technical reasons. In microarray paired data sets, it is of main interest to detect differentially expressed genes, which are usually identified by testing the equality of means of expressions within a pair. While much attention has been paid to testing mean equality with incomplete paired data in previous literature, the existing methods commonly assume the normality of data or rely on the large sample theory. In this paper, we propose a new test based on permutations, which is free from the normality assumption and large sample theory. We consider permutation statistics with linear mixtures of paired and unpaired samples as test statistics, and propose a procedure to find the optimal mixture that minimizes the conditional variances of the test statistics, given the observations. Simulations are conducted for numerical power comparisons between the proposed permutation tests and other existing methods. We apply the proposed method to find differentially expressed genes for a colorectal cancer study.
Year
DOI
Venue
2012
10.1016/j.csda.2011.08.012
Computational Statistics & Data Analysis
Keywords
Field
DocType
permutation statistic,existing method,microarray experiment,proposed permutation test,test statistic,normality assumption,mean equality,large sample theory,permutation test,new test,microarray data,conditional variance,colorectal cancer
Normality,Econometrics,Expression (mathematics),Permutation,Microarray analysis techniques,Paired Data,Statistics,Asymptotic theory (statistics),Resampling,Mathematics,Statistical hypothesis testing
Journal
Volume
Issue
ISSN
56
3
0167-9473
Citations 
PageRank 
References 
0
0.34
12
Authors
6
Name
Order
Citations
PageRank
Donghyeon Yu132.10
Johan Lim26310.95
Feng Liang3586.81
Kyunga Kim4243.41
Byung Soo Kim511712.78
Woncheol Jang6245.15