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Two Way ANOVAs

Two Way ANOVAs. Factorial Designs. Factors. Same thing as Independent variables. Referred to as factors when there are more than one in a study.

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Two Way ANOVAs

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  1. Two Way ANOVAs Factorial Designs

  2. Factors Same thing as Independent variables. Referred to as factors when there are more than one in a study. Factorial Design – a study in which there are more than two independent variables. In the design each level of each factor is represented at each level of each other factor.

  3. Are there significant differences in Happiness among single, married and divorced respondents. This is the same as a One-way ANOVA. Main Effect of Marital Status

  4. Do the males and the females differ on their Happiness Scores. Main Effect of Sex

  5. Interaction between Marital Status and Sex Is the Pattern of differences in Happiness Ratings the same for males as for females?

  6. Descriptive Statistics Dependent Variable: Happiness rating

  7. Two Way ANOVA Table Main effect of Marital Status. Is it Significant? If yes – interpret Multiple Comparisons.

  8. Multiple Comparisons Table (LSDs) Dependent* Variable: Happiness rating

  9. Two Way ANOVA Table Main effect of Sex. Is it Significant? If yes – look at means to see who is happier.

  10. Two Way ANOVA Table Interaction Between Marital Status and Sex. Is it Significant? If yes – Do separate one-way ANOVAs, one for Males and One for Females.

  11. Dependent Variable: Happiness rating One Way ANOVA - Males Multiple Comparisons Table (LSD) Dependent Variable: Happiness rating

  12. Females. Tests of Between-Subjects Effects Dependent Variable: Happiness rating Multiple Comparisons Dependent Variable: Happiness rating LSD

  13. When you have a significant Interaction it means the effect of one factor Depends on the level of the second factor.

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