Given below two statements, one is labelled as Assertion A and the other is labelled as

Reason R

Assertion A: According to Classical Test Theory (CTT) total variance is equal to the sum of true variance and error variance

Reason R: Error variance and true variance are independent of each other as per CTT

In light of the above statements, choose the most appropriate answer from the options given below:

1. ABoth A and R are correct and R is correct explanation of A
2. BBoth A and R are correct but R is NOT the correct explanation of A
3. CA is correct but R is not correct
4. DA is not correct but R is correct

Pick an option to check yourself, or open the answer below.

Show answer & explanation

Correct answer: A. Both A and R are correct and R is correct explanation of A

Explanation

In CTT, X = T + E and because true and error scores are uncorrelated, σ²X = σ²T + σ²E.