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Spearman's rank correlation for ranks (1,2,3) and (3,2,1) of three subjects is
A0.5
B0
C+1
D-1
Answer & Solution
Correct answer: D. -1
1. Differences d = 1-3, 2-2, 3-1 = -2, 0, 2; d^2 = 4, 0, 4; sum = 8.
2. n = 3, n(n^2 - 1) = 3 * 8 = 24.
3. rs = 1 - 6 * 8 / 24 = 1 - 48/24 = 1 - 2.
4. = -1.
_Source: ICAI BoS Foundation Paper 3, Ch 17 'Correlation', p.8_
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