5. Exercises 3 and 4 asked you to test a complex comparison in a three-group study. This exercise asks you to form a con

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5 Exercises 3 And 4 Asked You To Test A Complex Comparison In A Three Group Study This Exercise Asks You To Form A Con 1 (52.51 KiB) Viewed 38 times

5. Exercises 3 and 4 asked you to test a complex comparison in a three-group study. This exercise asks you to form a confidence interval for the same complex comparison. As before, the sample means are: Y = 12, Y₂ = 10, and Y₂ = 6. The value of MSw is 25, and there are 10 subjects per group. Continue to assume that the psychologist is interested in comparing the average of the Group 1 and 2 means to the Group 3 mean. a. Form a 95% confidence interval for the contrast of interest. (Notice that with the available informa- tion, you must assume homogeneity of variance.) b. Does the confidence interval you found in Part a agree with the results of the hypothesis test in Exercise 3? Explain your answer. c. Express the mean difference for this contrast as a standardized difference. How would you interpret this result? d. We saw in Exercise 3 that we could use coefficients of 1, 1, and -2 without changing the result of the hypothesis test. Can we also use these coefficients for forming a confidence interval without changing the result? Why or why not?