This monograph will provide an in-depth mathematical treatment of modern multiple test procedures controlling the false discovery rate (FDR) and related error measures, particularly addressing applications to fields such as genetics, proteomics, neuroscience and general biology. The book will also include a detailed description how to implement these methods in practice. Moreover new developments focusing on non-standard assumptions are also included, especially multiple tests for discrete data. The book primarily addresses researchers and practitioners but will also be beneficial for graduate students.
Author(s): Thorsten Dickhaus (auth.)
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2014
Language: English
Pages: 180
Tags: Biostatistics; Statistical Theory and Methods; Mathematical and Computational Biology; Data Mining and Knowledge Discovery; Biomedical Engineering
Front Matter....Pages i-xiv
The Problem of Simultaneous Inference....Pages 1-13
Front Matter....Pages 15-15
Some Theory of $$p$$ p -values....Pages 17-28
Classes of Multiple Test Procedures....Pages 29-45
Simultaneous Test Procedures....Pages 47-69
Stepwise Rejective Multiple Tests....Pages 71-90
Multiple Testing and Binary Classification....Pages 91-101
Multiple Testing and Model Selection....Pages 103-115
Software Solutions for Multiple Hypotheses Testing....Pages 117-125
Front Matter....Pages 127-127
Genetic Association Studies....Pages 129-140
Gene Expression Analyses....Pages 141-153
Functional Magnetic Resonance Imaging....Pages 155-166
Front Matter....Pages 167-167
Further Life Science Applications....Pages 169-175
Back Matter....Pages 177-180
