Duncan's New Multiple Range Test

Duncan's New Multiple Range Test

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 qr to compare sets of means.

Duncan's new multiple range test (MRT) is a variant of the Student–Newman–Keuls method that uses increasing alpha levels to calculate the critical values in each step of the Newman–Keuls procedure. Duncan's MRT attempts to control family wise error rate (FWE) at αew = 1 − (1 − αpc)k−1 when comparing k, where k is the number of groups. This results in higher FWE than unmodified Newman–Keuls procedure which has FWE of αew = 1 − (1 − αpc)k/2.

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.

Read more about Duncan's New Multiple Range Test:  Criticisms

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