Paper 1 · Research Aptitude
UGC NET 27 June 2025 Shift 2
In which conditions, Karl Pearson's correlation coefficient can be calculated?
- 1. If means of both the variables are equal
- 2. If one variable is measured in interval scale and another is measured in ordinal scale
- 3. If there is linear relationship between two variables
- 4. If data are obtained in interval or ratio scale for both the variables
- 5. If direction of relationship between two variables is known
A3 & 4 only ✓ Correct
B3, 4 & 5 only
C2, 4 & 5 only
D1, 3 & 5 only
Correct answer: (A) 3 & 4 only — Pearson's r assumes a linear relationship between the variables (3) and requires both variables to be measured on an interval or ratio scale (4).
Explanation
★Pearson's r assumes a linear relationship between the variables (3) and requires both variables to be measured on an interval or ratio scale (4).
★Equal means (1), mixing interval with ordinal scale (2), or merely knowing the direction (5) are not conditions for computing Pearson's r.
★So the correct conditions are 3 and 4 only.
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