Spearman's rank correlation coefficient Quiz

1. $n=5$ and $\sum d^2=4$. What is $r_s$?

• A. $0.2$
• B. $0.8$
• C. $0.96$
• D. $0.4$

2. Two athletes tie for 2nd place. What rank does each receive?

• A. $2.5$
• B. $2$
• C. $3$
• D. $1.5$

3. Which value of $r_s$ shows the strongest correlation between two rankings?

• A. $0.7$
• B. $0.1$
• C. $-0.9$
• D. $-0.2$

4. Which is a limitation of Spearman's coefficient?

• A. It can only be used when the relationship is linear
• B. It can only take positive values
• C. It requires a bivariate Normal distribution
• D. It uses only the order of the values, not their size

5. A strong positive $r_s$ is found between hours of revision and exam rank. Which conclusion is justified?

• A. More revision causes a better rank
• B. Students who revise more tend to rank higher
• C. Revision has no effect on rank
• D. Every student who revises more ranks higher