In a study comparing means of 4 groups the F ratio was signi

In a study comparing means of 4 groups, the F ratio was significant at the p<.05 level. The 4 means are Mean 1=13.12; Mean 2=9.31; Mean 3=13.65; and Mean 4=11.34. Tukey\'s post hoc comparison is used to test which means statistically differ from each other. The obtained HSD value at the p=.05 level is 3.74. Which means are statistically significantly different from each other? Explain.

Solution

Mean 2 and Mean 3 statistically differ from each other. Since our F score is statistically significant, we compare sets of two various means at a time in order to decide where the significance difference is situated. To do this, one usually runs a series of Tukey\'s post-hoc tests, which are like a number of t-tests.