The Significance Test Controversy Revisited : The Fiducial Bayesian Alternative / by Bruno Lecoutre, Jacques Poitevineau.

Format:

Book

Author/Creator:

Lecoutre, Bruno, Author.

Poitevineau, Jacques, Author.

Series:

SpringerBriefs in Statistics, 2191-5458

Language:

English

Subjects (All):

Statistics.

Mathematical statistics--Data processing.

Mathematical statistics.

Statistical Theory and Methods.

Statistics and Computing.

Local Subjects:

Statistical Theory and Methods.

Statistics and Computing.

Physical Description:

1 online resource (140 p.)

Edition:

1st ed. 2014.

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014.

Language Note:

English

Summary:

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.

Contents:

Introduction

Preamble - Frequentist and Bayesian Inference

The Fisher, Neyman-Pearson and Jeffreys Views of Statistical Tests

GHOST: An Officially Recommended Practice

The Significance Test Controversy Revisited

Reporting Effect Sizes: The New Star System

Reporting Confidence Intervals: A Paradoxical Situation

Basic Fiducial Bayesian Procedures for Inference About Means

Generalizations and Methodological Considerations for ANOVA

Conclusion

Index.

Notes:

Description based upon print version of record.

Includes bibliographical references at the end of each chapters and index.

ISBN:

9783662440469

3662440466