Stepwise Procedures Based on Rank Statistics in Detecting Differentially Expressed Gene

• Activity Number: 405 - Nonparametric Testing in Complex Data Settings
• Type: Contributed
• Date/Time: Tuesday, August 1, 2017 : 2:00 PM to 3:50 PM
• Sponsor: Section on Nonparametric Statistics
• Author(s): Hossein Mansouri and Bo Li*
• Companies: Texas Tech University and Montana Tech of the University of Montana
• Keywords: Rank statistic ; Step-down procedure ; Multiple comparisons ; Step-up procedure ; Bootstrap ; Rank estimation

Abstract

In this article we propose some step-down and step-up procedures based on rank statistics for analysis of data from cDNA microarrays. In classical multiple comparison methodology, stepwise procedures are known to be more powerful than the single-step procedures. We propose two classes of stepwise procedures, one based on rank statistics and a second procedure based on rank estimates for identifying differentially expressed genes. Since the distribution of the rank statistics for microarray data are often unknown, we develop a bootstrap method of conducting the tests in practice. Monte Carlo simulation is used to compare the performances of the proposed simultaneous tests to each other and to the parametric stepwise procedures and to their respective one-step competitors.