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Book Cover
E-book
Author Cui, Xinping

Title Handbook of Multiple Comparisons
Published Milton : CRC Press LLC, 2021

Copies

Description 1 online resource (419 p.)
Series Chapman and Hall/CRC Handbooks of Modern Statistical Methods Ser
Chapman and Hall/CRC Handbooks of Modern Statistical Methods Ser
Contents Cover -- Half Title -- Series Page -- Title Page -- Copyright Page -- Dedication -- Table of Contents -- Preface -- Editors -- Contributors -- Part I: General Methodology -- 1 An Overview of Multiple Comparisons -- 1.1 Basics of Multiple Comparison Error Rates -- 1.1.1 Family-wise Error Rate, and Danger of Weak Control -- 1.1.2 The False Discovery Rate (FDR) -- 1.1.3 Conditional Error Rate and Selective Inference -- 1.2 Other Early Multiple Comparison Developments -- 1.3 Closed Testing Principle -- 1.4 Overview of the Rest of the Material -- 1.5 Supplementary Material -- Bibliography
2 Multiple Test Procedures Based on p-Values -- 2.1 Introduction -- 2.2 Two Basic Test Procedures -- 2.2.1 Bonferroni MTP -- 2.2.2 Simes Test -- 2.3 Stepwise MTPs -- 2.3.1 Closure Method -- 2.3.2 Holm Step-Down MTP -- 2.3.3 Hommel MTP -- 2.3.4 Hochberg Step-Up MTP -- 2.3.4.1 Hochberg MTP Under Negative Dependence -- 2.3.4.2 Hommel-Hochberg (HH) Hybrid MTP -- 2.3.5 Sequentially Rejective Weighted Bonferroni MTPs -- 2.4 Fixed Sequence and Fallback MTPs -- 2.5 Gatekeeping MTPs -- 2.5.1 Serial Gatekeeping MTPs -- 2.5.2 Parallel Gatekeeping MTPs -- 2.5.2.1 Error Rate Function
2.5.2.2 Separable and Truncated MTPs -- 2.5.3 General Gatekeeping -- 2.6 Graphical Approach -- 2.7 Group Sequential MTPs -- 2.7.1 Review of Group Sequential Procedures -- 2.7.2 Group Sequential Simes Test (GSST) -- 2.7.3 Group Sequential Holm MTP (GSHM) -- 2.7.4 Group Sequential Hochberg MTP (GSHC) -- 2.8 Benjamini-Hochberg MTP for False Discovery Rate Control -- 2.9 Concluding Remarks -- Bibliography -- 3 Multivariate Multiple Test Procedures -- 3.1 Introduction and preliminaries -- 3.1.1 Motivation -- 3.1.2 Preliminaries -- 3.1.3 Overview of the remainder of the chapter
3.1.4 How large can m be for the different methods under consideration? -- 3.2 Methods based on multivariate normal distributions -- 3.3 Methods based on higher-order probability bounds -- 3.4 Effective numbers of tests -- 3.5 Copula-based methods -- 3.6 Multivariate multiple tests for control of the false discovery rate -- 3.7 Conclusions and practical recommendations -- Bibliography -- 4 Partitioning for Confidence Sets, Confident Directions, and Decision Paths -- 4.1 Motivations for Partitioning -- 4.2 Multiple Comparisons with the Best: A Scientific Problem Which Naturally Partitions
4.2.1 Confidence Sets Associated with Multiple Tests -- 4.2.2 Partition Confidence Set for MCB -- 4.2.3 Multiple Comparisons with the Best -- 4.2.4 Connection with Ranking and Selection -- 4.3 Partitioning for Confidence Sets and Confident Directions -- 4.3.1 A Dose-Response Motivating Example -- 4.3.2 Partitioning One-Sided Tests without Paths -- 4.3.3 Confident Decision-Making Based on Step-Down Dunnett's Method -- 4.3.4 Executing Step-Down Dunnett's Method for the Alzheimer Study -- 4.3.5 Testing Equality Null Hypotheses May Not Control the Directional Error Rate
Notes Description based upon print version of record
4.4 Partition to Follow Decision Paths
Subject Multiple comparisons (Statistics)
Multiple comparisons (Statistics)
Form Electronic book
Author Dickhaus, Thorsten
Ding, Ying
Hsu, Jason C
ISBN 9780429633881
0429633882
9780429632396
0429632398