Why do all treatment means have "a" as the mean comparison letter on the AOV Summary Report when Duncan's is selected as the Mean Comparison Test?

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Most mean comparison tests do not use LSD value to identify means that are statistically different.

Many mean comparison tests have been designed by statisticians. ARM includes LSD, Duncan's MRT (called Duncan's New Multiple Range Test), Student-Newman-Keuls, Tukey's, Waller-Duncan, and Dunnett's. Mean comparisons based on LSD have often been criticized because the significance level "slips" when the number of treatments increases.

If a group of treatment means are sorted into order from high to low, then Duncan's and LSD give approximately the same result for adjacent pairs of treatment means. With Duncan's and Student-Newman-Keuls, the minimum value for significance becomes larger for mean pairs that are further apart in the sorted list. Both LSD and Tukey's use the same value for all tests, but the Tukey's value is quite large when compared to the LSD. (Thus, there are fewer significant differences.)

To use LSD as the mean comparison test (or to change mean comparison method, then:

1. Select File - Print Reports from the ARM menu bar.

2. Double-click on the Summary heading in the left available reports column to expand the list of available summary reports.

3. Click on AOV Means Table in the left column so this choice is highlighted.

4. Click the Edit Report Options button at bottom right of Print Reports dialog to display AOV Means Table report 0ptions.

5. Click the down pointing arrow following the mean comparison test method. Select LSD to use this test method, or try another test method.

6. Click the Help button for more information on mean comparison tests.

Last Updated January 03, 2008

 

                                          

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