Factoral ANOVA

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Homework 7 Due Sunday Midnight (34 points in total) 1.Identify Main effects and interaction from the following graphs (12 points) a) IV 2 Level 1 . Level 2 Main effect of IV1 Yes No OHNWAUTO Main effect of IV2 Yes No Interaction Yes No Level 1 Level 2 IV 1 b) IV 2 Level 1 . Level 2 10 Main effect of IV1 Yes No Main effect of IV2 Yes No ON Interaction Yes No Level 1 Level 2 IV 1 c) IV 2 Level 1 . Level 2 Main effect of IV1 Yes No Main effect of IV2 Yes No OH N W D UT Interaction Yes No Level 1 Level 2 IV 1 d) IV 2 Level 1 Level 2 Main effect of IV1 Yes No OHNWAUON Main effect of IV2 Yes No Interaction Yes No Level 1 Level 2 IV 1l Level 1 I Level 2 5 4 Main effect of 1V1 Yes Ni 3 Main effect of 1V2 Yes Ni 2 Interaction Yes N: 1 0 Level 1 Level 2 IV 1 d) IV 2 7 l Level 1 l Level 2 6 5 Main effect of 1V1 Yes No 4 3 Main effect of IVE Yes No 2 I Interaction Yes No 1 O Level 1 Level 2 IV 1 2. The following table summarizes the results of a two-factor ANOVA evaluating an independent-measures experiment with two levels of factor A, three levels of factor B, and n = 8 participants in each treatment condition. (22 points) a. Fill in all missing values in the table. (Hint: Start with the (if column.) Source SS df MS Between Treatments 124 Factor A _ _ FA = L Factor B FB = A X B A _ _ PM]; = _ Within Treatments _ _ A Total b. Evaluate main e'ects and the interaction with (1=0.05. (Hint: follow the 4 steps of hypothesis testing to answer this question.) (9 points) c. Compute 112 (the percentage of variance accounted for) for each of the main effects and for the interaction. (6 points)