Theory question 106
StatisticsFive finalists in a beauty pageant were ranked by two judges X and Y as shown in the table.
Finalist: Anne, Linda, Susan, Rose, Erica
X: 1, 4, 3, 5, 2
Y: 3, 2, 4, 5, 1
Calculate the Spearman's rank correlation co-efficient.
Show the model answer
Model answer
d = −2, 2, −1, 0, 1; Σd² = 10.
ρ = 1 − 6(10)/(5 × 24) = 1 − 0.5 = 0.5.
Explanation
The scores are already ranks, so subtract directly.