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Multiple Comparisons for Bernoulli Data - Taka-aki Shiraishi

Multiple Comparisons for Bernoulli Data

Buch | Softcover
118 Seiten
2022 | 1st ed. 2022
Springer Verlag, Singapore
978-981-19-2707-2 (ISBN)
CHF 82,35 inkl. MwSt
Closed testing procedures based on maximum absolute values of some two-sample test statistics and based on chi-square test statistics are introduced. 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.
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.

Taka-aki  Shiraishi, Nanzan University

Theoretical Basics in One-Sample and Two-Sample Models.- Simultaneous Inference for All Proportions.- All-Pairwise Comparison Tests.- Multiple Comparison Tests with a Control.- Simultaneous Confidence Intervals.- All-Pairwise Comparisons under Simple Order Restrictions.- Comparisons with a Control and Successive Comparisons under Simple Order Restrictions.- Comparisons with a Control and Successive Comparisons under Simple Order Restrictions.- Hybrid Serial Gatekeeping Procedures for Multiple Comparisons With a Control.

Erscheinungsdatum
Reihe/Serie JSS Research Series in Statistics
SpringerBriefs in Statistics
Zusatzinfo 1 Illustrations, black and white; X, 118 p. 1 illus.
Verlagsort Singapore
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Naturwissenschaften Biologie
ISBN-10 981-19-2707-3 / 9811927073
ISBN-13 978-981-19-2707-2 / 9789811927072
Zustand Neuware
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