Generalized Rank Tests for Replicated Microarray Data

Gene expression data from microarray experiments have been studied using several statistical models. Significance Analysis of Microarrays (SAM), for example, has proved to be useful in analyzing microarray data. In the spirit of the SAM procedures, we develop permutation based rank-tests for generalized Wilcoxon ranksum test for two-group comparisons of replicated microarray data. Also, for microarray experiments with randomized block design, we consider generalized signed rank test. The statistical analysis software package is written in R and is freely available in a package.

[1]  S. Dudoit,et al.  STATISTICAL METHODS FOR IDENTIFYING DIFFERENTIALLY EXPRESSED GENES IN REPLICATED cDNA MICROARRAY EXPERIMENTS , 2002 .

[2]  Wolfgang J. Buhler The Treatment of Ties in the Wilcoxon Test , 1967 .

[3]  Bradley Efron,et al.  Microarrays empirical Bayes methods, and false discovery rates , 2001 .

[4]  Andrei Yakovlev,et al.  A C++ Program for the Cramér-Von Mises Two-Sample Test , 2006 .

[5]  Y. Benjamini,et al.  Controlling the false discovery rate: a practical and powerful approach to multiple testing , 1995 .

[6]  J. Putter The Treatment of Ties in Some Nonparametric Tests , 1955 .

[7]  Wei Pan,et al.  Modified Nonparametric Approaches to Detecting Differentially Expressed Genes in Replicated Microarray Experiments , 2003, Bioinform..

[8]  Gary A. Churchill,et al.  Analysis of Variance for Gene Expression Microarray Data , 2000, J. Comput. Biol..

[9]  John D. Storey The positive false discovery rate: a Bayesian interpretation and the q-value , 2003 .

[10]  J. Booth,et al.  Resampling-Based Multiple Testing. , 1994 .

[11]  R. Tibshirani,et al.  Significance analysis of microarrays applied to the ionizing radiation response , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[12]  Lev Klebanov,et al.  A permutation test motivated by microarray data analysis , 2006, Comput. Stat. Data Anal..

[13]  John D. Storey,et al.  Statistical significance for genomewide studies , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[14]  John D. Storey A direct approach to false discovery rates , 2002 .

[15]  Wei Pan,et al.  On the Use of Permutation in and the Performance of A Class of Nonparametric Methods to Detect Differential Gene Expression , 2003, Bioinform..

[16]  G A Whitmore,et al.  Models for microarray gene expression data , 2002, Journal of biopharmaceutical statistics.

[17]  Christina Kendziorski,et al.  On Differential Variability of Expression Ratios: Improving Statistical Inference about Gene Expression Changes from Microarray Data , 2001, J. Comput. Biol..

[18]  Xiaoman Li,et al.  The induction of macrophage gene expression by LPS predominantly utilizes Myd88-independent signaling cascades. , 2004, Physiological genomics.

[19]  R. Glynn,et al.  Incorporation of Clustering Effects for the Wilcoxon Rank Sum Test: A Large‐Sample Approach , 2003, Biometrics.

[20]  Pierre R. Bushel,et al.  Assessing Gene Significance from cDNA Microarray Expression Data via Mixed Models , 2001, J. Comput. Biol..