Question

A repeated-measures study comparing two treatments with n = 4 participants produces md = 2 and ss = 75 for the difference scores. what is the estimated standard error for the sample mean difference?

Answer 1

The estimated standard error for the sample mean difference is  2.5 .

According to the question

A repeated-measures study comparing two treatments

n = 4

MD(mean difference) = 2

SS (sum of square) = 75

Now,

error for the sample  

Formula for standard error

$S^{2} = \frac{SS}{n-1}$

by substituting the value

$S^{2} = \frac{75}{4-1}$

$S^{2} = \frac{75}{3}$

S² = 25

S = 5 (s is never negative)

Standard error of the estimate for the sample mean difference

As

The standard error of the estimate is the estimation of the accuracy of any predictions.

The formula for standard error of the mean difference

standard error of the mean difference  =$\frac{standard\\\ error}{\sqrt{n} }$  

standard error of the mean difference = $\frac{5}{\sqrt{4} }$  

standard error of the mean difference = 2.5

Hence, the estimated standard error for the sample mean difference is  2.5 .

To know more about estimated standard error here:

brainly.com/question/14524236

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