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A researcher conducts a repeated measures t-test with 10 subjects. If the estimated population variance of the difference scores is 20, what would the variance of the distribution of the means of difference scores be?

Question

A researcher conducts a repeated measures t-test with 10 subjects. If the estimated population variance of the difference scores is 20, what would the variance of the distribution of the means of difference scores be?

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Solution

The variance of the distribution of the means of difference scores, also known as the standard error of the mean, can be calculated using the formula:

Variance of the means = Variance of the population / Number of subjects

Given that the estimated population variance of the difference scores is 20 and the number of subjects is 10, we can substitute these values into the formula:

Variance of the means = 20 / 10 = 2

So, the variance of the distribution of the means of difference scores would be 2.

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