CA Foundation · Quantitative Aptitude · Correlation and Regression
Six students are ranked in two subjects with no ties. The sum of squared rank differences, Σd², is 14. What is Spearman's rank correlation coefficient?
Spearman's coefficient is 0.60. Using r = 1 - 6Σd² divided by n(n² - 1), we get 1 - 84/210 = 1 - 0.4 = 0.6. This indicates a moderately strong positive agreement between the two sets of ranks.
- A0.60Correct
- B0.40
- C0.86
- D0.25
Explanation
r = 1 - 6Σd² / [n(n² - 1)] = 1 - 84 / (6 × 35) = 1 - 84/210 = 1 - 0.4 = 0.60. The value 0.40 results from forgetting to subtract the fraction from 1.
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