The Significance Test Controversy Revisited

The Fiducial Bayesian Alternative

  • Bruno Lecoutre
  • Jacques Poitevineau

Part of the SpringerBriefs in Statistics book series (BRIEFSSTATIST)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Bruno Lecoutre, Jacques Poitevineau
    Pages 1-7
  3. Bruno Lecoutre, Jacques Poitevineau
    Pages 9-20
  4. Bruno Lecoutre, Jacques Poitevineau
    Pages 21-38
  5. Bruno Lecoutre, Jacques Poitevineau
    Pages 39-47
  6. Bruno Lecoutre, Jacques Poitevineau
    Pages 49-62
  7. Bruno Lecoutre, Jacques Poitevineau
    Pages 63-75
  8. Bruno Lecoutre, Jacques Poitevineau
    Pages 77-90
  9. Bruno Lecoutre, Jacques Poitevineau
    Pages 91-103
  10. Bruno Lecoutre, Jacques Poitevineau
    Pages 105-126
  11. Bruno Lecoutre, Jacques Poitevineau
    Pages 127-129
  12. Back Matter
    Pages 131-134

About this book

Introduction

The purpose of this book is not only to revisit the “significance test controversy,”but also to provide a conceptually sounder alternative. As such, it presents a Bayesian framework for a new approach to analyzing and interpreting experimental data. It also prepares students and researchers for reporting on experimental results. Normative aspects: The main views of statistical tests are revisited and the philosophies of Fisher, Neyman-Pearson and Jeffrey are discussed in detail. Descriptive aspects: The misuses of Null Hypothesis Significance Tests are reconsidered in light of Jeffreys’ Bayesian conceptions concerning the role of statistical inference in experimental investigations. Prescriptive aspects: The current effect size and confidence interval reporting practices are presented and seriously questioned. Methodological aspects are carefully discussed and fiducial Bayesian methods are proposed as a more suitable alternative for reporting on experimental results. In closing, basic routine procedures regarding the means and their generalization to the most common ANOVA applications are presented and illustrated. All the calculations discussed can be easily carried out using the freeware LePAC package.

Keywords

Bayesian ANOVA Null Hypothesis Significance Tests experimental data report statistical inference

Authors and affiliations

  • Bruno Lecoutre
    • 1
  • Jacques Poitevineau
    • 2
  1. 1.ERIS, Laboratoire de Mathématiques Raphaël SalemUniversité de Rouen UMR 6085 CNRSSt Et. du Rouvray CEDEXFrance
  2. 2.ERIS, IJLRA UMR-7190 case 162Université Pierre et Marie Curie CNRSParis Cedex 05France

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-44046-9
  • Copyright Information The Author(s) 2014
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-662-44045-2
  • Online ISBN 978-3-662-44046-9
  • Series Print ISSN 2191-544X
  • Series Online ISSN 2191-5458
  • About this book
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