Question

Classical Test Theory can be described by the formula X = T / E (where X is the observed score, T is the true score, and E is measurement error).

A) True
B) False

Answer 1

The statement about Classical Test Theory is false; the correct formula is X = T + E, where X is the observed score, T is the true score, and E is the measurement error, indicating the observed score consists of the true score with some added or subtracted error.

Step-by-step explanation:

The statement regarding Classical Test Theory is false. The correct formula for Classical Test Theory is actually X = T + E, where X is the observed score, T is the true score, and E is the measurement error. The formula expresses that the observed score is the sum of the true score and the measurement error, not the true score divided by the measurement error.

For example, if a test is designed to measure intelligence (the true score), the observed score might include some error due to factors like test anxiety or misunderstanding questions, which would add to or subtract from the true measure of intelligence.