1976
DOI: 10.2307/2335748
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On Closed Testing Procedures with Special Reference to Ordered Analysis of Variance

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Cited by 293 publications
(397 citation statements)
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“…Pvalues were calculated by a permutation procedure (SAS s PROC NPAR1WAY, SAS Institute, 1997) rather than relying on the asymptotic w 2 distribution of the Savage statistic. In an effort to reduce Type I error rate, the closed testing procedure of Marcus et al (1976) was used. Accordingly, if the global null hypothesis was rejected at Po0.05 (distribution of abnormal counts same in all groups), a pairwise null hypothesis of the form Group A ¼ Group B would be rejected at Po0.05 only if the three-way hypotheses (Group A ¼ B ¼ C and Group A ¼ B ¼ D) were also rejected at Po0.05.…”
Section: Experimental Designmentioning
confidence: 99%
“…Pvalues were calculated by a permutation procedure (SAS s PROC NPAR1WAY, SAS Institute, 1997) rather than relying on the asymptotic w 2 distribution of the Savage statistic. In an effort to reduce Type I error rate, the closed testing procedure of Marcus et al (1976) was used. Accordingly, if the global null hypothesis was rejected at Po0.05 (distribution of abnormal counts same in all groups), a pairwise null hypothesis of the form Group A ¼ Group B would be rejected at Po0.05 only if the three-way hypotheses (Group A ¼ B ¼ C and Group A ¼ B ¼ D) were also rejected at Po0.05.…”
Section: Experimental Designmentioning
confidence: 99%
“…Under a normal model assumption, O'Brien derived an ordinary least-squares test statistic and a generalized least-squares test statistic that are more powerful than Hotelling's T 2 statistic in the case of related endpoints. Lehmacher et al (1991) apply O'Brien's test in combination with the closure principle of Marcus et al (1976). They point out that the Bonferroni test, and by extension, stepdown tests based on the maximum test statistic (Romano and Wolf, 2005), are useful for detecting one highly significant difference, or treatment effect, among a group of otherwise barely significant or nonsignificant differences.…”
Section: Introductionmentioning
confidence: 99%
“…The Kruskal-Wallis test was performed as a global test to calculate between group comparisons. In case of a statistical difference between the groups, pair-wise comparisons with the Mann-Whitney U test were calculated applying the closed testing procedure [23]. A twotailed p value less than 0.05 was considered significant.…”
Section: Discussionmentioning
confidence: 99%