Campus Units

Veterinary Diagnostic and Production Animal Medicine, Statistics

Document Type

Article

Publication Version

Published Version

Publication Date

2012

Journal or Book Title

Journal of Probability and Statistics

Volume

2012

First Page

913560

DOI

10.1155/2012/913560

Abstract

In high-dimensional gene expression experiments such as microarray and RNA-seq experiments, the number of measured variables is huge while the number of replicates is small. As a consequence, hypothesis testing is challenging because the power of tests can be very low after controlling multiple testing error. Optimal testing procedures with high average power while controlling false discovery rate are preferred. Many methods were constructed to achieve high power through borrowing information across genes. Some of these methods can be shown to achieve the optimal average power across genes, but only under a normal assumption of alternative means. However, the assumption of a normal distribution is likely violated in practice. In this paper, we propose a novel semiparametric optimal testing (SPOT) procedure for high-dimensional data with small sample size. Our procedure is more robust because it does not depend on any parametric assumption for the alternative means. We show that the proposed test achieves the maximum average power asymptotically as the number of tests goes to infinity. Both simulation study and the analysis of a real microarray data with spike-in probes show that the proposed SPOT procedure performs better when compared to other popularly applied procedures.

Comments

This article is from Journal of Probability and Statistics 2012 (2012); 913560, doi: 10.1155/2012/913560. Posted with permission.

Rights

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Copyright Owner

P. Liu and C. Wang

Language

en

File Format

application/pdf

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