A psychologist is working with three types of aptitude tests that may be given to prospective management trainees. In deciding how to structure the testing process, an important issue is the possibility of interaction between test takers and test type. If there were no interaction, only one type of test would be needed.
Three tests of each type are given to members of each of four groups of subject type. These were distinguished by ratings of poor, fair, good, and excellent in preliminary interviews. The scores obtained are listed in the following table:

a. Set up the analysis of variance table.
b. Test the null hypothesis of no interaction between subject type and test type.

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Test Type Mindbender 65 68 62 69 71 67 75 75 78 74 79 76 72 69 69 70 69 65 64 72 65 68 73 75 78 82 80 Psych Out Subject Type Profile Fit Poor Fair Good Excellent 83 82 84 78 78 75 76 77 75