Type 1: 20
Type 2: 30
Type 3: 28
Type 4: 22
Which pairs are significantly different at the
Step 1
From the provided data we have,
Step 2
Using Tukey’s HSD:
We first compute the Tukey’s HSD as below:
(Where n represent the number of observations in each group).
The absolute differences in group means is computed as below:
We say that the groups are significantly only when the absolute difference in group mean is larger than the HSD value.
Thus, this difference is larger for Group 1 and 2, Group 1 and 3, Group 2 and 4 and Group 3 and 4
Thus, the pairs that are significantly different at the
and other groups are not significant.