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Difference Score
In a dependent-samples -test, the initial analysis step involves reducing the two paired scores recorded for each participant into a single value known as a difference score. This is achieved by subtracting one score from the other. It does not matter whether the first set of scores is subtracted from the second or vice versa, provided the order of subtraction is applied consistently across all participants. Often, researchers choose the direction of subtraction so that positive or negative difference scores intuitively align with the expected outcome (e.g., subtracting pretest scores from posttest scores so that a positive difference indicates an increase). Once these difference scores are calculated, the dependent-samples -test functions exactly as a one-sample -test performed directly on these new values.
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Research Methods in Psychology - 4th American Edition @ KPU
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Null and Alternative Hypotheses for the Dependent-Samples t-Test
Conceptualizing the Dependent-Samples t-Test as a One-Sample t-Test
How is a difference score calculated in the initial step of a dependent-samples t-test?
A researcher conducts a study measuring participants' stress levels before and after a mindfulness workshop. When computing a difference score for each participant, the researcher subtracts the pretest score from the posttest score for the first 15 participants but then switches to subtracting the posttest score from the pretest score for the remaining 15 participants. This approach is acceptable because both subtraction directions are valid ways to compute difference scores.