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Two Way ANOVA

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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  1. Two Way ANOVA A way to look at the effects of two independent variables and their interactions.

  2. 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)

  3. 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

  4. 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?

  5. 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?

  6. 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)

  7. A main effect of situation. No main effect of trait. Bar Graphs

  8. Bar Graphs A main effect of situation. No main effect of trait. A main effect of trait. No main effect of situation

  9. Bar Graphs Two main effects

  10. Bar Graphs Two main effects

  11. No interaction Bar Graphs Two main effects

  12. Bar Graphs Two Main Effects and an Interaction “The effect of trait is more pronounced in public”

  13. Bar Graphs Two Main Effects and an Interaction Same data! “The effect of situation is more pronounced in people who have trait A2”

  14. Bar Graphs No Main Effects and an Interaction

  15. A main effect of situation. No main effect of trait. Line Graphs

  16. Line Graphs A main effect of situation. No main effect of trait. A main effect of trait. No main effect of situation

  17. Line Graphs Two main effects

  18. Line Graphs Two Main Effects and an Interaction “The effect of trait is more pronounced in public”

  19. Line Graphs Two Main Effects and an Interaction Same data! “The effect of situation is more pronounced in people who have trait B”

  20. Line Graphs No Main Effects and an Interaction

  21. Graphing Same Data Different Ways How you graph it influences what you see

  22. Graphing Same Data Different Ways

  23. Graphing Same Data Different Ways

  24. Graphing Same Data Different Ways

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