A guidance counselor wishes to determine if a student scored higher on a mathematics test than on a reading test.What statistic(s)would be MOST useful?
A) the standard error of measurement for each test score
B) the standard error of the difference between two scores
C) the raw score on each test as well as the mean of each distribution
D) the mean of each distribution and index of test difficulty for each test

Question

Quizplus · Accepted Answer

The standard error of the difference between two scores would be the most useful statistic in this scenario as it would allow the counselor to determine if the difference between the student's mathematics test score and reading test score is statistically significant. A large standard error of the difference would suggest that the difference between the scores is not significant, while a small standard error of the difference would suggest that the difference is significant. The other statistics listed may be useful in other contexts, but are not specifically designed to compare scores on two different tests.

A Guidance Counselor Wishes to Determine If a Student Scored