Question
Download Solution PDFIf the sum of the squares of difference of ranks of 6 candidates in two criteria is 21, the rank correlation coefficient is __________.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula
Spearman’s rank correlation coefficient is denoted by ρ
ρ = 1 – [6∑d2/n(n2 – 1)]
d = difference between rank of paied items of x and y variables
∑d2 = total of squares of rank differences
n = number of pairs of items
Given
∑d2 = ∑(R1 – R2)2 = 21
n = 6
Calculation
ρ = 1 – [6 × 21/6(62 – 1)
ρ = 1 – 21/35
ρ = 14/35
∴ The rank correlation coefficient is 0.4
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