Question

Assertion (A): Spearman rank correlation coefficient is used for ordinal data.
Reason (R): It is based on ranks rather than actual values.

• A. A and R are true, and R is correct explanation of A
• B. A and R are true, but R is not correct explanation of A
• C. A is true but R is false
• D. A is false but R is true

Hint:

Spearman correlation is preferred when actual numerical values are unreliable but ranks are meaningful.

Answer 1

The Correct Option is A

Concept: Spearman rank correlation is a non-parametric measure of correlation used when data is in ranked form (ordinal data).

Step 1: Check Assertion (A).
Spearman correlation is used for ordinal (ranked) data: \[ \Rightarrow \text{A is TRUE} \]

Step 2: Check Reason (R).
It is defined using ranks instead of actual values: \[ r_s = 1 - \frac{6\sum d^2}{n(n^2-1)} \] So R is also TRUE.

Step 3: Check explanation link.
Since method is based on ranks, it is suitable for ordinal data. \[ \Rightarrow \text{R correctly explains A} \] Final Answer: \[ \boxed{\text{(A) Both A and R are true and R is correct explanation}} \]