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  1. Bog
  2. Matematik
  3. Sandsynlighedsregning og statistik

Multiple Comparisons for Bernoulli Data

Af: Taka-aki Shiraishi Engelsk Paperback

Multiple Comparisons for Bernoulli Data

Af: Taka-aki Shiraishi Engelsk Paperback
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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.


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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.


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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 118
ISBN-13: 9789811927072
Indbinding: Paperback
Udgave:
ISBN-10: 9811927073
Kategori: Sandsynlighedsregning og statistik
Udg. Dato: 2 jun 2022
Længde: 11mm
Bredde: 233mm
Højde: 155mm
Forlag: Springer Verlag, Singapore
Oplagsdato: 2 jun 2022
Forfatter(e): Taka-aki Shiraishi
Forfatter(e) Taka-aki Shiraishi

Kategori Sandsynlighedsregning og statistik

ISBN-13 9789811927072

Sprog Engelsk

Indbinding Paperback

Sider 118

Udgave

Længde 11mm

Bredde 233mm

Højde 155mm

Udg. Dato 2 jun 2022

Oplagsdato 2 jun 2022

Forlag Springer Verlag, Singapore

Kategori sammenhænge