Define and explain the assumptions that must be satisfied to use the related/paired samples t test.
What will be an ideal response?
(1) The population of difference scores must be a normal distribution. This assumption is needed to ensure accuracy of the tcritvalues in the t Table. However, as was the case with the one-sample t test, violating this assumption will not change the outcome of the test for sample sizes greater than 30 (i.e., df = 30 or higher).
(2) The scores from different participants or pairs of participants must be independent. This means that across the subjects (or across the pairs of subjects for matched designs) the scores cannot depend on the scores of the other participants (or pairs). However, because, by definition, scores will be related for the same or pairs of subjects, this assumption does not apply to scores within subjects or pairs of subjects.
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