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Chapter 13: Q4BSC (page 597)

Efficiency of the Wilcoxon Signed-Ranks Test Refer to Table 13-2 on page 600 and identify the efficiency of the Wilcoxon signed-ranks test. What does that value tell us about the test?

Short Answer

Expert verified

The Wilcoxon signed-rank test has an efficiency of 0.95.

This value indicates that when using the non-parametric Wilcoxon signed-rank test, a sample of 100 observations is required. However, when using the parametric t-test, a sample of 95 observations is required.

Step by step solution

01

Given information

Referring to Table 13-2, the efficiency of the Wilcoxon signed-rank test is 0.95.

02

Efficiency of Wilcoxon signed-rank test

The efficiency rating of a non-parametric test can be used to compare a non-parametric test with its parametric counterpart.

The non-parametric Wilcoxon signed-rank testrequires100 observations in a sample, but the parametric t-test require only 95 observations in a sample to produce similar results.

A small sample is required. For this, the efficiency of a parametric test in terms of accuracy, time, and cost will be greater than a non-parametric Wilcoxon signed-rank test.

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

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