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Chapter 13: Q4BSC (page 597)

Efficiency Refer to Table 13-2 on page 600 and identify the efficiency of the Wilcoxon rank-sum test. What does that value tell us about the test?

Short Answer

Expert verified

The efficiency of the Wilcoxon rank-sum test is 0.95.

This value indicates that when the non-parametric Wilcoxon rank-sum test is applied, a sample of 100 observations is required. However, only 95 observations are required to achieve the same results when the parametric t-test is applied.

Step by step solution

01

Given information

Referring to table 13-2, the efficiency of the Wilcoxon rank-sum test is 0.95.

02

Efficiency of Wilcoxon rank-sum test

Wilcoxon rank-sum test is also known to be as the non-parametric counterpart of the independent or unrelated samples t-test.

The efficiency describes the requirement of 100 observations for performing the non-parametric Wilcoxon rank-sum test. However, there is a requirement of only 95 observations to achieve the same results using the parametric t-test.

Thus, if the assumption regarding the distribution of the population is met, it is better to use the parametric t-test.

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Most popular questions from this chapter

Using the Kruskal-Wallis Test. In Exercises 5–8, use the Kruskal-Wallis test.

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