Taka-Aki Shiraishi

(Author)

Multiple Comparisons for Bernoulli Data (2022)Paperback - 2022, 2 June 2022

Multiple Comparisons for Bernoulli Data (2022)
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Part of Series
Springerbriefs in Statistics
Part of Series
Jss Research Statistics
Print Length
118 pages
Language
English
Publisher
Springer
Date Published
2 Jun 2022
ISBN-10
9811927073
ISBN-13
9789811927072

Description

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.

Product Details

Author:
Taka-Aki Shiraishi
Book Edition:
2022
Book Format:
Paperback
Country of Origin:
NL
Date Published:
2 June 2022
Dimensions:
23.39 x 15.6 x 0.71 cm
ISBN-10:
9811927073
ISBN-13:
9789811927072
Language:
English
Location:
Singapore
Pages:
118
Publisher:
Weight:
190.51 gm

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