In: Statistics and Probability
To see if two rankings are related, you can use the ________.
a. Runs test
b. Spearman correlation coefficient
c. Sign test
d. Kruskal-Wallis test
b. Spearman correlation coefficient
Explanation:
If the ranks are related, we can use the Spearman correlation coefficient. To determine whether two variables are linearly related, we use the Pearson product moment correlation coefficient. One assumption for testing the hypothesis that ρ = 0 for Pearson coefficient is that the populations from which the samples are obtained are normally distributed. If this requirement cannot be met, the nonparametric equivalent, called the Spearman rank correlation coefficient can be used when the data are ranked.
b. Spearman correlation coefficient