Скачать или смотреть Probability and Statistics | Experiment-wise Error Rate in ANOVA and Duncan’s Test

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Assuming independent comparisons in ANOVA, the experiment-wise error rate or family error rate (i.e., the probability of false rejection of at least one of the hypotheses) is given by 1- (1-alpha) ,,,, (1-alpha) , where α is the selected probability of a type I error for a specific comparison.
When many paired comparisons are being tested, there is usually a need to make the effective contrast on a single comparison more conservative. That is, with the confidence interval approach, the confidence intervals would be much wider than the t(alpha/2).
Duncan’s Multiple-range Test makes the range of any subset of p sample means must exceed a certain value before any of the p means are found to be different. This value is called the least significant range for the p means and is denoted by Rp. The values of the quantity rp , called the least significant studentized range, depend on the desired level of significance and the number of degrees of freedom of the mean square error. These values may be obtained from table.

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