# Spearman’s Rank Coefficient of Correlation

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• Q1

If the values of X and Y have been ranked and we compute product moment correlation between ranks of X and Y, will this be equal to the value of rk?

Marks:1

If the values of X and Y have been ranked and we compute product movement correlation between ranks of X and Y, this correlation will be equal to the value of rk.

• Q2

What are the limits of rk?

Marks:1

The limits of rk are -1 and +1.

• Q3

Define Spearman’s rank correlation.

Marks:1

Spearman’s rank correlation may be defined as a measure of linear associations between ranks assigned to individuals or objects according to their attributes.

• Q4

Five competitors in a beauty contest were ranked by two judges in the following order:

 Judge A 3 1 4 5 2 Judge B 5 3 1 2 4

Calculate coefficient of rank correlation.

Marks:3

calculation of coefficient of rank correlation

 Ranking of judge A Ranking of judge B Difference in Ranks (R1-R2) Square of Rank Difference (D2) 3 5 -2 4 1 3 -2 4 4 1 3 9 5 2 3 9 2 4 -2 4 ∑D2=30