H a: μ diff ≠ 0 Paired Samples T-test Assumptions The alternative hypothesis is that the mean treatment difference is not equal to zero. The two-sided null hypothesis is that mean treatment differences are equal to zero. Thus, the treatment groups have overlapping membership and are considered dependent. Since the same study subject is measured with both treatment conditions in two locations, this would be considered a repeated measurement over space.Ī paired samples t-test is performed when each experimental unit (study subject), receives both available treatment conditions. For example, you may want to check for differences in blood pressure between measurements taken on the right arm and left arm. Repeated measures over space can be a little more difficult to understand. Since the same student is measured at two separate time points, the measurements are considered repeated over time. For example, you may want to see if students improved their knowledge over the course of a term by checking for differences between mid-term and final exam scores. Repeated measures can occur over time or space. A paired sample t-test is the simplest version of “within -subject” analysis or “repeated measures” analysis. If the same experimental unit (subject) is measured multiple times, and you would like to test for differences, then you may need to perform a repeated measures analysis such as a paired t-test. A paired samples t-test is performed when an analyst would like to test for mean differences between two related treatments or conditions.
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