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In statistics, Duncan's new multiple range test (MRT) is a multiple comparison procedure developed by David B. Duncan in 1955. Duncan's MRT belongs to the general class of multiple comparison procedures that use the studentized range statistic ''q''''r'' to compare sets of means. David B. Duncan developed this test as a modification of the Student–Newman–Keuls method that would have greater power. Duncan's MRT is especially protective against false negative (Type II) error at the expense of having a greater risk of making false positive (Type I) errors. Duncan's test is commonly used in agronomy and other agricultural research. The result of the test is a set of subsets of means, where in each subset means have been found not to be significantly different from one another. == Definition == Assumptions: 1.A sample of observed means , which have been drawn independently from n normal populations with "true" means, respectively. 2.A common standard error . This standard error is unknown, but there is available the usual estimate , which is independent of the observed means and is based on a number of degrees of freedom, denoted by . (More precisely, , has the property that level range test where , and is the number of means in the subset concerned. Exception: The sole exception to this rule is that no difference between two means can be declared significant if the two means concerned are both contained in a subset of the means which has a non-significant range. 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Duncan's new multiple range test」の詳細全文を読む スポンサード リンク
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