A test has a standard deviation of 4 and a reliability of .91.What is the standard error of measurement?
A) 1.20
B) 1.82
C) 3.64
D) 3.82

Question

Quizplus · Accepted Answer

The standard error of measurement is the standard deviation of the error scores. The error scores are the differences between the observed scores and the true scores. The reliability of a test is the proportion of variance in the observed scores that is due to true variance. The standard error of measurement is calculated by multiplying the standard deviation by the square root of 1 minus the reliability. In this case, the standard error of measurement is 4 * sqrt(1 - .91) = 1.20.

A Test Has a Standard Deviation of 4 and a Reliability