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How do I calculate variance for sample of different scores, estimated standard error for the mean...

How do I calculate variance for sample of different scores, estimated standard error for the mean difference and repeated measure T statistic

Solutions

Expert Solution

We know that,

variance of the sampling distribution of the difference between means is equal to the variance of the sampling distribution of the mean for Population 1 plus the variance of the sampling distribution of the mean for Population 2. Recall the formula for the variance of the sampling distribution of the mean:

Since we have two populations and two samples sizes, we need to distinguish between the two variances and sample sizes. We do this by using the subscripts 1 and 2. Using this convention, we can write the formula for the variance of the sampling distribution of the difference between means as:

Since the standard error of a sampling distribution is the standard deviation of the sampling distribution, the standard error of the difference between means is:

Please like the answer if you are satisfied. Thank you.

orchestra answered 2 years ago
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