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Two Way ANOVA. A way to look at the effects of two independent variables and their interactions. Research Designs. The study has two independent variables, factor 1 (e.g. personality) and factor 2 (e.g. situation).

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## Two Way ANOVA

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**Two Way ANOVA**A way to look at the effects of two independent variables and their interactions.**Research Designs**The study has two independent variables, factor 1 (e.g. personality) and factor 2 (e.g. situation) Each factor has a certain number of levels (e.g. 2 personality traits and 2 situations). They are completely crossed to create the appropriate number of conditions (e.g. 2 traits X 2 situations = 4 cells)**Research Designs**Factor 1: Half the participants have personality trait A and half the participants have trait B Factor 2: Half the participants were observed in private and half were observed in public Dependent variable: amount of food consumed**µpublic**µprivate H0: µpublic= µprivate HA: µpublic≠ µprivate Testing the “Main Effect” of Situation Research Designs Trait A Trait B In public In private This allows us to ask three important research questions: 1. On average, is there a difference between the two situations?**µpublic**µprivate µtraitA µtraitB H0: µtraitB=µtraitB HA: µtraitB≠µtraitB Testing the “Main Effect” of Trait Research Designs Trait A Trait B In public In private This allows us to ask three important research questions: 2. On average, is there a difference between the two personality types?**µpublic**µprivate µtraitA µtraitB H0: no interaction HA: interaction Testing the Interaction Effect Research Designs Trait A Trait B In public In private This allows us to ask three important research questions: 3. Does the effect of situation depend on personality? (or vice versa)**A main effect of situation.**No main effect of trait. Bar Graphs**Bar Graphs**A main effect of situation. No main effect of trait. A main effect of trait. No main effect of situation**Bar Graphs**Two main effects**Bar Graphs**Two main effects**No interaction**Bar Graphs Two main effects**Bar Graphs**Two Main Effects and an Interaction “The effect of trait is more pronounced in public”**Bar Graphs**Two Main Effects and an Interaction Same data! “The effect of situation is more pronounced in people who have trait A2”**Bar Graphs**No Main Effects and an Interaction**A main effect of situation.**No main effect of trait. Line Graphs**Line Graphs**A main effect of situation. No main effect of trait. A main effect of trait. No main effect of situation**Line Graphs**Two main effects**Line Graphs**Two Main Effects and an Interaction “The effect of trait is more pronounced in public”**Line Graphs**Two Main Effects and an Interaction Same data! “The effect of situation is more pronounced in people who have trait B”**Line Graphs**No Main Effects and an Interaction**Graphing Same Data Different Ways**How you graph it influences what you see

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