a. Explanation Given info: There are 3 samples. Sample 1 has 2 values, sample 2 has 3 values and sample 3 has 2 values. Calculation: The defining formula for k test statistic: K = S S T R S S T / ( n − 1 ) The formula for SSTR: S S T R = ∑ n j ( r ¯ j − r ¯ ) 2 The formula for SST: S S T R = ∑ ( r j − r ¯ ) 2 Assign the ranks to the samples according to the ascending order: Sample 1 Ranks Sample 2 Rank Sample 3 Rank 51 6 9 3 1 1 3 2 73 7 19 4 33 5 Mean r ¯ 1 = 4 Mean r ¯ 2 = 5 Mean r ¯ 3 = 2.5 The overall mean is, r ¯ = ∑ r j 7 = 6 + 2 + 3 + 7 + 5 + 1 + 4 7 = 28 7 = 4 The sum of squares is, S S T R = 2 ( 4 − 4 ) 2 + 3 ( 5 − 4 ) 2 + 2 ( 2 b. To determine The Kruskal-Wallis test statistic by computing formula. c. To determine The results. d. To determine The fact that are illustrating.

10th Edition

ISBN: 9780321989178

Author: Neil A. Weiss

Publisher: PEARSON

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Chapter 16.5, Problem 134E

To determine

The Kruskal-Wallis test statistic by defining formula.

To determine

The Kruskal-Wallis test statistic by computing formula.

To determine

The results.

To determine

The fact that are illustrating.

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Chapter 16.5, Problem 133E

Chapter 16.5, Problem 135E

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Chapter 16 Solutions

Introductory Statistics (10th Edition)

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The Kruskal-Wallis test statistic by defining formula.

Solution Summary: The author explains the Kruskal-Wallis test statistic by defining formula. Sample 1 has 2 values, sample 2 has 3 values and sample 3 has 2.

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The Kruskal-Wallis test statistic by defining formula.

The Kruskal-Wallis test statistic by computing formula.

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The fact that are illustrating.

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