Question

For a repeated-measures study comparing two treatments with a sample of n = 9 participants, the difference scores have a mean of MD = 4.90 with SS = 288. What is the estimated standard error for the sample mean difference?​

Answer 1

Answer: Estimated standard error for the sample mean difference would be 1.

Step-by-step explanation:

Since we have given that

Mean of MD = 4.90

So, Sum of difference would be

$4.9\times 9=44.1$

S = 288

n = 9

We need to find the standard error for the sample mean differences.

Estimated standard error for the sampled mean difference would be

$\dfrac{\sqrt{Sum(D^2)-(\dfrac{sum(d)^2}{n})}}{n(n-1)}}\\\\=\dfrac{\sqrt{288-\dfrac{44.1^2}{9}}}{9(9-1)}\\\\=0.99\\\\\approx 1$

Hence, estimated standard error for the sample mean difference would be 1.