Suppose that two different studies (A and B) have the same sample sizes in each of four groups, with similar standard deviations in the four groups. Furthermore, those sample sizes and sample SDs are also the same, or very similar, in Study A and Study B. Consider the following group means:

a. Calculate the value of the MAD statistic for each study.
b. Which study provides stronger evidence of a significant difference among the group means? Explain your thinking, without performing any calculations or simulations.
c. Which study would you expect to have the larger value of the F-statistic? Explain your thinking.

Transcribed Image Text:

Group 2 Group 3 Group 4 mean Group 1 mean mean mean mean Study A Study B 40 40 20 20 30 30 40 20