6) Two-Way Mixed Anova - Lecture notes 6 PDF

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Two-Way Mixed Anova...

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Two-Way Mixed (Within and Between) ANOVA

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Factor 1: Type of test o 3 levels: Maths, language, art o Type: Within-subjects Factor 2: Gender o 2 levels: Men, women o Type: Between-subjects Dependent variable: Score

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6 cells in the contingency table (2x3) so 6 conditions in the experiment 3 data points per cell of the contingency table, so 3 participants per group. Two groups, so 6 participants altogether

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Mauchly’s test result not significant for either variable (0.111) – we can assume sphericity

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Significant effect of type Significant interaction – the interaction is within-subjects Non-significant effect of gender

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Have two factors and an interaction between them The first factor, type, is a within-subjects factor and so has its own associated error – F statistics are calculated by MS treatment/MS error (treatment The second factor, gender, is a between-subjects factor and uses the general error – F statistics are calculated by MS treatment/MS error The interaction, Type*Gender, has its own associated error because it includes a within-subjects factor Df for the within-subjects error is given by b(a-1)(n-1) = 2(3-1)(3-1) = 8 Df for the general (between-subjects) error is given by b(n-1) = 2(3-1) = 4

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