Blake is interested in training for his first marathon and wants to determine whether the finishing place of non-elite marathon runners depends on the type of training program used.There are three training programs he is interested in comparing: Hal Higdon's, Jeff Galloway's, and Art Liberman's.Blake is able to track down 30 runners, 10 who have used Higdon's, 10 who have used Galloway's, and 10 who have used Liberman's.Blake asks the runners how they placed in the marathon.What statistic should he use to analyze his data?
A) Spearman rank-order correlation coefficient
B) Mann-Whitney U test
C) one-way ANOVA
D) Kruskal-Wallis H test

Question

Quizplus · Accepted Answer

Since the data is not normally distributed and the sample sizes are small, a Kruskal-Wallis H test is the most appropriate statistical test for comparing the three training programs. This test is a nonparametric alternative to one-way ANOVA, which requires the assumption of normality. The Mann-Whitney U test is a pairwise comparison between two groups, whereas Blake is interested in comparing three groups. The Spearman rank-order correlation coefficient is a measure of the strength and direction of a relationship between two variables, but it is not relevant in this scenario where Blake wants to compare the finishing places of different training programs.

Blake Is Interested in Training for His First Marathon and Wants