Question

19. A repeated-measures study comparing two treatments with a sample of n 10 participants produces a mean of M 8 for the scores in the first treatment, a mean of M 10 for the scores in the second treatment, and a mean of MD 2 with Sum of squares of the difference SS 64 for the difference scores. What is the estimated standard error for the sample mean difference? Answer:

Answer 1

Answer 19

we have SS or sum of squares of the difference = 64

Sample size is n = 10

degree of freedom for two variables (x and y) = n-2

where n = sample size = 10

so, degree of freedom = n-2 = 10-2 = 8

Using the formula for estimated standard error, we can write

Estimated standard error = $\sqrt{SS/(n-2)} = \sqrt{64/8} = \sqrt{8} = 2.83$

So, required estimated standard error is 2.83