14_Lecture14_ANOVA_Repeated-Measures_0413_Spring11

14_Lecture14_ANOVA_Repeated-Measures_0413_Spring11 - ANOVA...

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1 PSY207 B Spring 2011 Psychological Statistics ANOVA Repeated-measures and more…. Coffee Juice Espresso subj 5 subj 4 subj 3 subj 2 subj 1 70 70 60 70 80 subj 10 subj 9 subj 8 subj 7 subj 6 50 subj 11 50 70 subj 12 30 40 subj 13 30 40 subj 14 40 60 subj 15 40 One-way Independent-measures ANOVA Group 1 Group 2 Group 3 Example: One-Way ANOVA (Independent Measures) Coffee Juice Espresso 80 50 50 70 70 30 60 40 30 70 40 40 70 60 40 Between-group variability = treatment effect + random error Variability among subjects receiving different treatment Example: One-Way ANOVA (Independent Measures) Coffee Juice Espresso 80 50 50 70 70 30 60 40 30 70 40 40 70 60 40 Within-group variability = random error Variability among subjects receiving the same treatment Independent-measures ANOVA Total variability Between- treatments variance Within-treatments variance
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2 3 4 5 6 7 Drug C 1 1 1 3 4 Drug A 4 3 4 3 6 Drug B Person Placebo A 3 B 0 C 2 D 0 E 0 One-way Repeated-measures ANOVA Single group; multiple treatments Treatment1 Treatment4 Treatment3 Treatment2 3 4 5 6 7 Drug C 1 1 1 3 4 Drug A 4 3 4 3 6 Drug B Person Placebo A 3 B 0 C 2 D 0 E 0 One-way Repeated-measures ANOVA Treatment1 Treatment4 Treatment3 Treatment2 Between-treatments variability = treatment effect 3 4 5 6 7 Drug C 1 1 1 3 4 Drug A 4 3 4 3 6 Drug B Person Placebo A 3 B 0 C 2 D 0 E 0
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