Four different sports teams are compared for the athleticism of their members.The data on athleticism is available as ranks only.What would be the critical cutoff for the Kruskal-Wallis test on these data, assuming a p level of 0.05?
A) 3.841
B) 5.992
C) 7.815
D) 9.488

Question

Quizplus · Accepted Answer

The Kruskal-Wallis test is a non-parametric method used for comparing three or more independent samples. It is used to determine if there are statistically significant differences between the groups. The critical value for the Kruskal-Wallis test depends on the degrees of freedom (df) and the significance level (alpha, α). For comparing four groups (as in this question), the degrees of freedom would be the number of groups minus one, which is 3 (4-1=3). At a significance level of 0.05 (p=0.05) and with 3 degrees of freedom, the critical value from the Chi-square (χ²) distribution table is 7.815.

Four Different Sports Teams Are Compared for the Athleticism of Their