Multiple Testing Procedures with Applications to Genomics

From the reviews: "This book summarizes the recent work of Sandrine Dudoit and Mark van der Laan on multiple testing. It proposes a general framework for multiple testing procedures (MTPs) and introduces new concepts ... . The authors also provide code for reproducing the results of some of the applications. ... if one is looking for a detailed summary of the latest developments in multiple testing regarding MTPs or in the application of MTPs to biomedical and genomic data, then this book is an excellent reference." (Holger Schwender, Statistical Papers, Vol. 50, 2009) "In the last decade a growing amount of statistical research has been devoted to multiple testing. This book summarizes the recent work on this area. ... very useful for the applied researcher who would like to understand how to apply multiple testing. ... a good reference for statisticians interested in a general treatment of multiple testing." (Avner Bar-Hen, Mathematical Reviews, Issue 2009 j)

• Multiple Hypothesis Testing.- Test Statistics Null Distribution.- Overview of Multiple Testing Procedures.- Single-Step Multiple Testing Procedures for Controlling General Type I Error Rates, ?(Fvn).- Step-Down Multiple Testing Procedures for Controlling the Family-Wise Error Rate.- Augmentation Multiple Testing Procedures for Controlling Generalized Tail Probability Error Rates.- Resampling-Based Empirical Bayes multiple Testing Procedures for Controlling Generalized Tail Probability Error Rates.- Simulation Studies: Assessment of Test Statistics Null Distributions.- Identification of Differentially Expressed and Co-Expressed Genes in High-Throughput Gene Expression Experiments.- Multiple Tests of Association with Biological Annotation Metadata.- HIV-1 Sequence Variation and Viral Replication Capacity.- Genetic Mapping of Complex Human Traits Using Single Nucleotide Polymorphisms: The ObeLinks Project.- Software Implementation.