Step 2: The Post Hoc Tests 17. Now that we know whether there is enough variance among the groups to get excited, we need to follow up and find out which of the groups actually differ (s) from which other(s). In this case, we will use Tukey's HSD test (but remember that there are others). MS within = 4.05 18.65 HSD = q 4.05 3.73 = 4.05 (1.931) = 7.821 n 5 First, what is the q value for a = .05 (see Appendix D)? 4.05 Now, what is the critical HSD value? 7.821 18. Now calculate the groups' means (easily calculated using the information in the table on page 2). Then find the differences between means and compare them to the critical HSD value. X journal = 8.4 Xice cream = 1.4 Xfasting = 10.6 Xcontrol = 5.2 Xjournal - Xice cream| = 7 Does this exceed the critical HSD value? OYes No [Xjournal - Xfasting| = 2.2 Does this exceed the critical HSD value? OYes No |xjournal - Xcontrol| = 3.2 Does this exceed the critical HSD value? OYes No Xice cream - Xfasting| = 9.2 Does this exceed the critical HSD value? MYes ONo Ixice cream - Xcontroll = 3.8 Does this exceed the critical HSD value? OYes No |xfasting - Xcontrol| = 5.4 Does this exceed the critical HSD value? OYes iNo 19. Now write up a paragraph or two with your interpretations and conclusions of the post hoc steps. Here, you need to do two things. First, summarize all these mean comparisons we just made. Then offer your final recommendation to Dr. Bergenson about which group or groups should move on to the final study mentioned in the description on the first page. Remember, your aim is to come up with the most effective weight loss method (s). 20. Come up with one critique of your pilot test's methods, assumptions, or whatever else. Do not state that it was too small a sample size (even though it was). Come up with something more sophisticated