Throughout this chapter we have omitted the theoretical derivations of the null distributions of the various nonparametric

Question:

Throughout this chapter we have omitted the theoretical derivations of the null distributions of the various nonparametric test statistics. However, we can use computer simulation to derive approximate rejection regions for the tests. Consider the problem of finding the approximate sampling distribution of the Wilcoxon rank sum statistic for the case n1 = n2 = 10.

a. Write a computer program that will randomly order the n = n1 + n2 = 20 ranks and compute the corresponding Wilcoxon rank sum T1. This can be accomplished using a random number generator.

b. Write a computer program that will repeat the instructions of part a N = 1,000 times.

c. Construct a relative frequency distribution for the N = 1,000 computer-generated values of T1. This simulated distribution represents an approximation to the sampling distribution of T1

d. Use the simulated sampling distribution to determine the value T.05, such that P(T1 ≤ T.05). This value represents the one-tailed critical value of the Wilcoxon rank sum test for α = .05.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Statistics For Engineering And The Sciences

ISBN: 9781498728850

6th Edition

Authors: William M. Mendenhall, Terry L. Sincich

Question Posted: