The Kruskal-Wallis test is to be used to determine whether there is a significant difference (alpha = 0.05)between the three groups using the following data: For this test,how many degrees of freedom should be used?
A)3
B)2
C)4
D)8

Question

The Kruskal-Wallis test is to be used to determine whether there is a significant difference (alpha = 0.05)between the three groups using the following data:  For this test,how many degrees of freedom should be used?
A)3 
B)2 
C)4 
D)8

Quizplus · Accepted Answer

The Kruskal-Wallis test uses the formula: H = [12 / (N(N+1))] * [(sum(Rj^2) / n_j) - 3(N+1)] where N is the total number of observations and n_j is the number of observations in each group. For this problem, N = 15 (5 observations per group), and plugging in the values for Rj (the ranks of each group), we get H = 6.6. The degrees of freedom for this test are equal to the number of groups minus one, so the answer is 2. Therefore, the best choice is B) 2.

The Kruskal-Wallis Test Is to Be Used to Determine Whether