Fundamentals of statistical inference : what is the meaning of random error? / Norbert Hirschauer, Sven Grüner, Oliver Mußhoff.
2022
QA276
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Details
Title
Fundamentals of statistical inference : what is the meaning of random error? / Norbert Hirschauer, Sven Grüner, Oliver Mußhoff.
Author
Hirschauer, Norbert, author.
ISBN
9783030990916 (electronic bk.)
3030990915 (electronic bk.)
9783030990909 (print)
3030990915 (electronic bk.)
9783030990909 (print)
Published
Cham, Switzerland : Springer, 2022.
Language
English
Description
1 online resource (xv, 132 pages) : illustrations.
Item Number
10.1007/978-3-030-99091-6 doi
Call Number
QA276
Dewey Decimal Classification
519.5
Summary
This book provides a coherent description of foundational matters concerning statistical inference and shows how statistics can help us make inductive inferences about a broader context, based only on a limited dataset such as a random sample drawn from a larger population. By relating those basics to the methodological debate about inferential errors associated with p-values and statistical significance testing, readers are provided with a clear grasp of what statistical inference presupposes, and what it can and cannot do. To facilitate intuition, the representations throughout the book are as non-technical as possible. The central inspiration behind the text comes from the scientific debate about good statistical practices and the replication crisis. Calls for statistical reform include an unprecedented methodological warning from the American Statistical Association in 2016, a special issue "Statistical Inference in the 21st Century: A World Beyond p < 0.05" of The American Statistician in 2019, and a widely supported call to "Retire statistical significance" in Nature in 2019. The book elucidates the probabilistic foundations and the potential of sample-based inferences, including random data generation, effect size estimation, and the assessment of estimation uncertainty caused by random error. Based on a thorough understanding of those basics, it then describes the p-value concept and the null-hypothesis-significance-testing ritual, and finally points out the ensuing inferential errors. This provides readers with the competence to avoid ill-guided statistical routines and misinterpretations of statistical quantities in the future. Intended for readers with an interest in understanding the role of statistical inference, the book provides a prudent assessment of the knowledge gain that can be obtained from a particular set of data under consideration of the uncertainty caused by random error. More particularly, it offers an accessible resource for graduate students as well as statistical practitioners who have a basic knowledge of statistics. Last but not least, it is aimed at scientists with a genuine methodological interest in the above-mentioned reform debate.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed August 23, 2022).
Added Author
Grüner, Sven, author.
Musshoff, Oliver, author.
Musshoff, Oliver, author.
Series
SpringerBriefs in Applied Statistics and Econometrics, 2524-4124
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