Explain how to compute a confidence interval around the difference between two dependent means when the population standard deviations are unknown.
What will be an ideal response?
Ans: To eliminate variability attributable to subjects, we compute difference scores D = x1–x2, where x1 and x2 represent a dependent pair of scores, then compute the mean difference (mD). From the variability in these difference scores we compute the estimated standard error of the mean difference scores (smD). To do we divide the variance of the difference scores by sample size, then we take the square root of this quotient. The value of t?/2 for this confidence interval is based n-1 degrees of freedom, where n is the number of dependent pairs. The result is mD ± t?/2 (smD).
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