Question

Match List - I with List II.

• A. A-I, B-II, C-III, D-IV
• B. A-I, B-II, C-IV, D-III
• C. A-II, B-I, C-III, D-IV
• D. A-II, B-I, C-IV, D-III

Hint:

Logic Tip: Pearson's r = Cov(X,Y)/(σX σY); Spearman's formula contains 6ΣD²; probable error = 0.6745 × standard error.

Answer 1

The Correct Option is C

Step 1: Understanding the Question:

• We must match each correlation measure (List I) with its formula (List II).

Step 2: Detailed Explanation:

• Karl Pearson's coefficient of correlation is r = Cov(X, Y) / (σX σY), which is II.
• Spearman's rank correlation coefficient is 1 - 6ΣD² / [N(N² - 1)], which is I.
• The probable error of the correlation coefficient is 0.6745 (1 - r²) / √n, which is III.
• The standard error of the correlation coefficient is (1 - r²) / √n, which is IV.
• The matching is A-II, B-I, C-III, D-IV.

Step 3: Final Answer:
The correct option is (C) A-II, B-I, C-III, D-IV.