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3)This is true only if conducted by the post-hoc test of ANOVA. According to possible outcomes of multiple comparisons (Table 1), all efforts would be paid to the control of variable U, for which therefore various statistical measures have been proposed to account (4). . As indicated by its name, single-step procedure assumes one hypothetical type I error rate. Obviously, it becomes PCER=m0/m when not learn this here now H0 are true in fact.

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However, there is no universally accepted single method to control multiple test problems. As an example, many different statistical methods have been developed for determining if there exists a difference between population means. For a simultaneous testing of m hypotheses, the possible outcomes are listed in Table 1. Conservatism is more important than optimality because the former is a characteristic evaluated under conservative. Enter A3:D15 in the Input Range, check Column headings included with data, select the Tukey HSD option and click on the OK button. When used as a post hoc test after ANOVA, the Bonferroni method uses thresholds based on the t-distribution; the Bonferroni method is more rigorous than the Tukey test, which tolerates type I errors, and more generous than the very conservative Scheffs method.

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Some methods use the range test and pairwise MCT concomitantly. 5

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{\displaystyle \alpha _{\mathrm {\{per\ comparison\}} }={\alpha }/(m-i+1)}

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