Comparisons (GLM)

Multiple Comparisons
Sidak Method - Grouping Information

  

The grouping information table highlights the significant and nonsignificant comparisons. The table includes the following information:

·    Method the multiple comparison method used to construct the family of confidence intervals from which the grouping table is generated.

·    Comparisons each grouping information table compares levels of one factor, or combined levels of multiple factors.

·    N the sample size for each factor level.

·    Mean fitted means sorted in descending order.

·    Grouping contains columns of letters that group the factor levels. Levels that share a letter are not significantly different. Conversely, if they do not share a letter, the level means are significantly different.

To determine a likely range for the difference between two means, examine the hypothesis test results or the interval plot for differences of means.

Example Output

Grouping Information Using the Sidak Method and 95% Confidence

 

Subject   N     Mean  Grouping

3        11  3.11333  A

4         9  2.84000      B

2        13  2.80667      B

1        12  2.15000         C

 

Means that do not share a letter are significantly different.

Interpretation

For the salary analysis, all pairwise comparisons were requested for the Subject factor.

·    Subject 3's mean (3.11333) is significantly different from subjects 4, 2, and 1 because this subject does not share any letters in the Grouping column. Teaching engineering paid significantly higher mean salaries than any other subject in this study.

·    Subjects 4 and 2 share a grouping letter (B) and, therefore, their means (2.80667 and 2.84000) are not significantly different from each other. However, these two subjects are significantly different from subjects 3 and 1 because they do not share letters with them.

·    Subject 1 is significantly different from subjects 3, 4, and 2 because this subject does not share any letters in the Grouping column. Teaching humanities paid significantly lower mean salaries than any other subject in this study.