Overview
- States the regularity condition of confidence limit, not mentioned until now as English literature
- Proposes high-power closed testing procedures as multiple comparisons
- Discusses hybrid serial gatekeeping procedures based on closed testing procedures
Part of the book series: SpringerBriefs in Statistics (BRIEFSSTATIST)
Part of the book sub series: JSS Research Series in Statistics (JSSRES)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This book focuses on multiple comparisons of proportions in multi-sample models with Bernoulli responses. First, the author explains the one-sample and two-sample methods that form the basis of multiple comparisons. Then, regularity conditions are stated in detail. Simultaneous inference for all proportions based on exact confidence limits and based on asymptotic theory is discussed. Closed testing procedures based on some one-sample statistics are introduced. For all-pairwise multiple comparisons of proportions, the author uses arcsine square root transformation of sample means. Closed testing procedures based on maximum absolute values of some two-sample test statistics and based on chi-square test statistics are introduced. It is shown that the multi-step procedures are more powerful than single-step procedures and the Ryan–Einot–Gabriel–Welsch (REGW)-type tests. Furthermore, the author discusses multiple comparisons with a control. Under simple ordered restrictions of proportions, the author also discusses closed testing procedures based on maximum values of two-sample test statistics and based on Bartholomew's statistics. Last, serial gatekeeping procedures based on the above-mentioned closed testing procedures are proposed although Bonferroni inequalities are used in serial gatekeeping procedures of many.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Multiple Comparisons for Bernoulli Data
Authors: Taka-aki Shiraishi
Series Title: SpringerBriefs in Statistics
DOI: https://doi.org/10.1007/978-981-19-2708-9
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2022
Softcover ISBN: 978-981-19-2707-2Published: 02 June 2022
eBook ISBN: 978-981-19-2708-9Published: 31 May 2022
Series ISSN: 2191-544X
Series E-ISSN: 2191-5458
Edition Number: 1
Number of Pages: X, 118
Number of Illustrations: 1 b/w illustrations
Topics: Applied Statistics, Statistical Theory and Methods, Biostatistics