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Created: Jan 13, 2010
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Triola Section 13-5, Example 1 KRUSKAL-WALLIS TEST

Kruskal-Wallis Test for Three or More Independent Samples

The Kruskal-Wallis test uses sample data from three or more independent samples to test the null hypothesis that the samples are from populations with the same median.

Let's consider Example 1 in Section 13-5. Begin by entering the sample data (Table 13-6 in the textbook) in three columns as shown in the StatCrunch Data window at the end of this report.

In StatCrunch, click on Stat, click on Nonparametrics, then select Kruskal-Wallis.

In the next window, select the columns containing the sample data, as shown below.

Result 1: Snapshot of Kruskal-Wallis Dialog   [Info]

Click onCalculate to get these results:

Result 2: Kruskal-Wallis   [Info]
Kruskal-Wallis results:
Data stored in separate columns.
Chi Square = 5.8345547 (adjusted for ties)
DF = 2
P-value = 0.0541
 Column n Median Ave. Rank Small 10 44 20.35 Medium 10 42.5 15.25 Large 10 38 10.9

Interpreting Results: See that the above results include the P-value of 0.0541. Because that P-value is large (greater than 0.05), we fail to reject the null hypothesis of equal population medians, and we get the same conclusions given in Example 1 in the textbook.

Data set 1. Kruskal-Wallis   [Info]