Affiliation:
1. College of Mathematics and Statistics Shenzhen University Shenzhen China
2. School of Mathematics and Statistics Chongqing Technology and Business University Chongqing China
3. School of Statistics Beijing Normal University Beijing China
4. Department of Mathematics Hong Kong Baptist University Hong Kong China
Abstract
AbstractFor gene expression data analysis, an important task is to identify genes that are differentially expressed between two or more groups. Nevertheless, as biological experiments are often measured with a relatively small number of samples, how to accurately estimate the variances of gene expression becomes a challenging issue. To tackle this problem, we introduce a regularized distribution and derive its statistical properties including the probability density function and the moment generating function. The noncentral regularized distribution is also introduced for computing the statistical power of hypothesis testing. For practical applications, we apply the regularized distribution to establish the null distribution of the regularized statistic, and then formulate it as a regularized ‐test for detecting the differentially expressed genes. Simulation studies and real data analysis show that our regularized ‐test performs much better than the Bayesian ‐test in the “limma” package, in particular when the sample sizes are small.
Funder
National Natural Science Foundation of China
Basic and Applied Basic Research Foundation of Guangdong Province
Natural Science Foundation of Guangdong Province
Subject
Statistics, Probability and Uncertainty,Statistics and Probability
Cited by
1 articles.
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