Solution: The ranking procedure described in Exercise 35 is

Chapter 15, Problem 15.36

(choose chapter or problem)

The ranking procedure described in Exercise 35 is somewhat asymmetric, because the smallest observation receives rank 1 whereas the largest receives rank 2, and so on. Suppose both the smallest and the largest receive rank 1, the second smallest and second largest receive rank 2, and so on, and let W,be the sum of the X ranks. The null distribution of W,is not identical to the null distribution of W, so different tables are needed. Consider the case m 3, n 4. List all 35 possible orderings of the three X values amongthe seven observations (e.g., 1, 3, 7 or 4, 5, 6), assign ranksin the manner described, compute the value of W,for eachpossibility, and then tabulate the null distribution of W,. Forthe test that rejects if w, c, what value of c prescribesapproximately a level .10 test? This is the AnsariBradleytest; for additional information, see the book by Hollanderand Wolfe in the chapter bibliography.