Refer to Exercise 9.5. For each pair of contrasts, determine if it is orthogonal:
a. Question 1 and Question 2
b. Question 1 and Question 3
c. Question 1 and Question 4
d. Question 2 and Question 3
e. Question 2 and Question 4
f. Question 3 and Question 4
g. Are the four contrasts mutually orthogonal?
In the abstract to the research study described earlier in this chapter, the researchers were interested in answering several questions concerning the difference in the ratersâ€™ reactions to various handicaps. For each of the following questions, write a contrast in the five condition mean ratings that would attempt to answer the researchersâ€™ question.
a. Question 1: Is the average rating for the control (no handicap) group greater than the average ratings for all types of handicapped applicants?
b. Question 2: Is the average qualification rating for the hard-of-hearing applicant different from the average ratings for those applicants that had a mobility handicap?
c. Question 3: Is the average qualification rating for the crutches applicant different from the average rating of the applicant who was either an amputee or in a wheelchair?
d. Question 4: Is the average rating for the amputee applicant different from the average rating of the wheelchair applicant?