A repeated-measures study comparing two treatments with a sample of n = 4 participants produces a mean of M = 18 with SS = 24 for the scores in the first treatment,a mean of M = 14 with SS = 18 for the scores in the second treatment,and a mean of M = 4 with SS = 12 for the difference scores.What is the estimated standard error for the sample mean difference?
A)4
B)3
C)2
D)1

Question

A repeated-measures study comparing two treatments with a sample of n = 4 participants produces a mean of M = 18 with SS = 24 for the scores in the first treatment,a mean of M = 14 with SS = 18 for the scores in the second treatment,and a mean of M = 4 with SS = 12 for the difference scores.What is the estimated standard error for the sample mean difference?​
A)​4
B)​3
C)​2
D)​1

Quizplus · Accepted Answer

The estimated standard error for the sample mean difference is calculated using the formula for the standard error of the mean difference in a repeated-measures design, which is the square root of the sum of squares (SS) for the difference scores divided by the sample size (n), and then divided by the square root of n again. Here, it is sqrt(12/4)/sqrt(4) = sqrt(3)/2 = 1.

A Repeated-Measures Study Comparing Two Treatments with a Sample of N