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Fundamentals of Modern Statistical Methods

Substantially Improving Power and Accuracy

  • Rand R. Wilcox

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Introduction

    1. Rand R. Wilcox
      Pages 1-8
  3. Part One

    1. Front Matter
      Pages 9-9
    2. Rand R. Wilcox
      Pages 11-30
    3. Rand R. Wilcox
      Pages 31-47
    4. Rand R. Wilcox
      Pages 49-66
    5. Rand R. Wilcox
      Pages 67-91
    6. Rand R. Wilcox
      Pages 93-115
    7. Rand R. Wilcox
      Pages 117-135
  4. Part Two

    1. Front Matter
      Pages 137-137
    2. Rand R. Wilcox
      Pages 139-158
    3. Rand R. Wilcox
      Pages 159-178
    4. Rand R. Wilcox
      Pages 179-203
    5. Rand R. Wilcox
      Pages 205-228
    6. Rand R. Wilcox
      Pages 229-243
  5. Back Matter
    Pages 245-258

About this book

Introduction

Conventional statistical methods have a very serious flaw: They routinely miss differences among groups or associations among variables that are detected by more modern techniques - even under very small departures from normality. Hundreds of journal articles have described the reasons standard techniques can be unsatisfactory, but simple, intuitive explanations are generally unavailable. Improved methods have been derived, but they are far from obvious or intuitive based on the training most researchers receive. Situations arise where even highly nonsignificant results become significant when analyzed with more modern methods. Without assuming any prior training in statistics, Part I of this book describes basic statistical principles from a point of view that makes their shortcomings intuitive and easy to understand. The emphasis is on verbal and graphical descriptions of concepts. Part II describes modern methods that address the problems covered in Part I. Using data from actual studies, many examples are included to illustrate the practical problems with conventional procedures and how more modern methods can make a substantial difference in the conclusions reached in many areas of statistical research.

Keywords

calculus comparing groups correlation data analysis maximizing power nonnormality robust methods statistical method statistics studying associations violations of assumptions

Authors and affiliations

  • Rand R. Wilcox
    • 1
  1. 1.Department of PsychologyUniversity of Southern CaliforniaLos AngelesUSA

Bibliographic information