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

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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 1 year ago

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