The test which would be appropriate to perform a nonparametric test for a difference among the medians of three or more independent populations is: b. Kruskal-Wallis test.
The Kruskal-Wallis test is also referred to as one-way ANOVA on ranks or Kruskal-Wallis H test and it can be defined as a rank-based nonparametric test that is typically used to determine whether or not there are statistically significant differences between two (2) or more samples of an independent variable on either a continuous or ordinal dependent variable.
This ultimately implies that, a Kruskal-Wallis test can be used to determine whether two (2) or more samples originate from the same distribution.
In Statistics, the null and alternative hypotheses for the Kruskal-Wallis test are generally given by:
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Complete Question:
Suppose you wish to perform a nonparametric test for a difference among the medians of three or more independent populations. Which of these tests would be appropriate?
a. ANOVA
b. Kruskal-Wallis test
c. Wilcoxon signed-rank for matched pairs
d. Wilcoxon signed-rank for two independent samples
