Paired samples t & Wilcoxon signed ranks tests
PAIRED SAMPLES t &
WILCOXON SIGNED RANKS TESTS
Frances Chumney, PhD
CONTENT OUTLINE
Within-Subjects Research Designs Paired Samples t Test Wilcoxon Signed Ranks Test
PAIRED SAMPLES T & WILCOXON SIGNED RANKS TESTS
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research design plays a major role in determining correct statistical approach
WITHIN-SUBJECTS DESIGNS
PAIRED SAMPLES T & WILCOXON SIGNED RANKS TESTS
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WITHIN-SUBJECTS DESIGN
research design in which a single sample is measured more than once on the same dependent variable
Two sets of data from a single population/sample
Example: Comparison of heart rate before & after running a marathon
A.K.A. Dependent-Measures, Paired Samples, Repeated-Measures
PAIRED SAMPLES T & WILCOXON SIGNED RANKS TESTS
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WITHIN-SUBJECTS DESIGN
Hypotheses
Null
o H0: X1 ? X2 = 0 There is no change in scores from time 1 to time 2 o H0: X1 = X2 Scores at time 1 are equal to scores at time 2 o H0:?D = 0 The difference in scores from time 1 to time 2 is equal to 0
Alternative
o HA:X1 ? X2 0 There is a change in scores from time 1 to time 2 o HA:X1 X2 Scores at time 1 are not equal to scores at time 2 o HA:?D 0 The difference in scores from time 1 to time 2 is not equal to 0
PAIRED SAMPLES T & WILCOXON SIGNED RANKS TESTS
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