# What is the relationship between of part a and of part b?

1. Write out the coefficients for contrasts to be used for testing each of the following hypotheses in a four group study. 2. Which of the contrasts in Exercise 1 are pairwise? Which are complex? 3. A psychologist collected data for three groups. The sample means are as follows: The value of MSW is 25, and there are 10 subjects in each group. The psychologist is interested in comparing the average of the Group 1 and 2 means to the Group 3 mean. a. The psychologist forms a contrast whose coefficients are given by .5, .5, and — 1. Test this contrast for statistical significance. b. A colleague has suggested that it would be simpler to test a contrast with coefficients of 1, 1, and —2. Does this produce the same result as part a? c. What is the relationship between of part a and of part b? What is the relationship of in part b? Does this explain why th 2 term is needed? Justify your answer.

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