A researcher had 25 subjects rank four types of workouts (running, swimming, biking, and aerobic dance) from hardest (1) to easiest (4). Which test should he use to determine if there is a significant difference among the ranking of the difficulty of the types of workouts?
A) Friedman two-way by ranks
B) ANOVA
C) Spearman rank order correlation
D) Mann-Whitney U

Question

Quizplus · Accepted Answer

Since the same subjects are ranking four different types of workouts, the data is dependent. ANOVA is only appropriate for independent data. Spearman rank order correlation is used to examine the relationship between two ranked variables, rather than comparing multiple ranked variables. Mann-Whitney U is used to compare two independent groups, rather than multiple ranked variables. Therefore, the best choice is the Friedman two-way by ranks test.

A Researcher Had 25 Subjects Rank Four Types of Workouts