LEADER 03757nam 22006135 450 001 9910574041103321 005 20250331003725.0 010 $a9789811927089$b(electronic bk.) 010 $z9789811927072 024 7 $a10.1007/978-981-19-2708-9 035 $a(MiAaPQ)EBC7007405 035 $a(Au-PeEL)EBL7007405 035 $a(CKB)23114204100041 035 $aEBL7007405 035 $a(AU-PeEL)EBL7007405 035 $a(PPN)269148965 035 $a(DE-He213)978-981-19-2708-9 035 $a(EXLCZ)9923114204100041 100 $a20220531d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMultiple Comparisons for Bernoulli Data /$fby Taka-aki Shiraishi 205 $a1st ed. 2022. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2022. 215 $a1 online resource (121 pages) 225 1 $aJSS Research Series in Statistics,$x2364-0065 300 $aIncludes index. 311 08$aPrint version: Shiraishi, Taka-aki Multiple Comparisons for Bernoulli Data Singapore : Springer,c2022 9789811927072 327 $aTheoretical 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. 330 $aThis book focuses on multiple comparisons of proportions in multi-sample models with Bernoulli responses. First, the author explains the one-sample and two-sample methods that form the basis of multiple comparisons. Then, regularity conditions are stated in detail. Simultaneous inference for all proportions based on exact confidence limits and based on asymptotic theory is discussed. Closed testing procedures based on some one-sample statistics are introduced. For all-pairwise multiple comparisons of proportions, the author uses arcsine square root transformation of sample means. Closed testing procedures based on maximum absolute values of some two-sample test statistics and based on chi-square test statistics are introduced. It is shown that the multi-step procedures are more powerful than single-step procedures and the Ryan?Einot?Gabriel?Welsch (REGW)-type tests. Furthermore, the author discusses multiple comparisons with a control. Under simple ordered restrictions of proportions, the author also discusses closed testing procedures based on maximum values of two-sample test statistics and based on Bartholomew's statistics. Last, serial gatekeeping procedures based on the above-mentioned closed testing procedures are proposed although Bonferroni inequalities are used in serial gatekeeping procedures of many. 410 0$aJSS Research Series in Statistics,$x2364-0065 606 $aStatistics 606 $aStatistics 606 $aBiometry 606 $aApplied Statistics 606 $aStatistical Theory and Methods 606 $aBiostatistics 615 0$aStatistics. 615 0$aStatistics. 615 0$aBiometry. 615 14$aApplied Statistics. 615 24$aStatistical Theory and Methods. 615 24$aBiostatistics. 676 $a519.5 700 $aShiraishi$b Taka-aki$0782100 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910574041103321 996 $aMultiple Comparisons for Bernoulli Data$92869526 997 $aUNINA