Description |
1 online resource (419 p.) |
Series |
Chapman and Hall/CRC Handbooks of Modern Statistical Methods Ser |
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Chapman and Hall/CRC Handbooks of Modern Statistical Methods Ser
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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 |
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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 |
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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 |
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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 |
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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 |
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4.4 Partition to Follow Decision Paths |
Subject |
Multiple comparisons (Statistics)
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Multiple comparisons (Statistics)
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Form |
Electronic book
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Author |
Dickhaus, Thorsten
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Ding, Ying
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Hsu, Jason C
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ISBN |
9780429633881 |
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0429633882 |
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9780429632396 |
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0429632398 |
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