Multiple Comparisons and Multiple Tests Using SAS, Second Edition (Hardcover edition) , livre ebook

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Contents


Preface xi
About the Authors xvii
Acknowledgments xvii

Chapter 1 Introduction ................................................................. 1
1.1 The Multiplicity Problem .............................................................................................. 2
1.2 Examples of Multiplicity in Practice ........................................................................... 5
1.3 When Are Multiple Comparisons/Multiple Testing Methods Needed? ................ 10
1.4 Selecting an MCP Using This Book .......................................................................... 10
1.5 Controversial Aspects of MCPs ................................................................................ 15
1.6 Chapter 1 Problems ................................................................................................... 18
1.7 Solutions to Chapter 1 Problems ............................................................................. 19
Chapter 2 Concepts and Basic Methods for Multiple
Comparisons and Tests .............................................. 25
2.1 Introduction ................................................................................................................. 26
2.2 Families of Hypotheses or Inferences ..................................................................... 33
2.3 Error Rates .................................................................................................................. 34
2.4 Bonferroni and Šidák Methods ................................................................................. 42
2.5 Graphical Presentation of Multiple Testing Results .............................................. 51
2.6 Adaptive Methods ...................................................................................................... 54
2.7 Concluding Remarks ................................................................................................. 56
2.8 Chapter 2 Problems ................................................................................................... 56
2.9 Solutions to Chapter 2 Problems ............................................................................. 59
Chapter 3 Overview of Simultaneous Confidence Interval
and Testing Methods in Linear Models ....................... 69
3.1 Introduction ................................................................................................................. 70
3.2 Some Typical Families of Inferences ....................................................................... 78
3.3 The MaxT Method for a General Set of Linear Functions ...................................... 82
3.4 Calculating the Critical Value .................................................................................... 86
3.5 The Simple Monte Carlo Solution for Estimating ............................................ 87 α
3.6 Large Sample and Approximate Methods ............................................................... 90
3.7 Chapter 3 Problems ................................................................................................... 91
3.8 Solutions to Chapter 3 Problems ............................................................................. 93 &
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Chapter 4 Multiple Comparisons among Treatment