One of the primary advantages of a repeated-measures design, compared to indepen

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One of the primary advantages of a repeated-measures design, compared to independent-measures, is that it reduces the overall variability by moving variance caused by individual differences. The following data are from a research study comparing two treatment conditions. a)Assume that the data are from an independent-measures study using two separate samples, each with n=6 participants. Compute the pooled variance and estimated standard error for the mean difference.
b) Now assume that the data are from a repeated-measures study using the same sample of n=6 participants in both treatment conditions. Compute the variance for the sample of difference scores and the estimated standard error for the mean difference. (You must find that the repeated-measures design substantially reduces the variance and the standard error.) Treatment 1: 10, 12, 8, 6, 5, 7, : M=8 SS=34 Treatment 2: 13, 12, 10, 10, 6, 9, : M=10 SS=30

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