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Factorial ANOVA

In this study, you are interested in studying life satisfaction as the
dependent variable. In a factorial ANOVA, you will ask questions related
to differences among fixed groups. In this dataset, the variables (factors)
of interest are life satisfaction, current family income, and sex. Based on
experience and knowledge of the literature, you want to measure the
effects of sex and different income levels on life satisfaction. In all of the
analyses conducted in this assignment, be sure to select the option
providing a measure of effect size (Eta) and the homogeneity test
(Levene’s test).

  1. What are the assumptions of the factorial ANOVA?
  2. What is the effect size measure in ANOVA’s?
  3. Using general linear model/univariate, conduct the analysis used
    to assess the differences between sex and income levels on life
    satisfaction.
  4. Then, conduct the Tukey HSD post hoc comparison test.
    a. As you can see from the post hoc window, there is a large
    array of post hoc tests available; as you read the literature in
    your specialization, see if there is a preferred post hoc test.
    b. If in your research you need to conduct a post hoc test, the
    selected test might be influenced by the literature in your
    area. Tukey is used here to make it consistent among the
    students.
  5. What are the null and alternative hypotheses? Remember to
    include the hypothesis related to the interaction effect.
  6. Present a table that shows the results of a two-way ANOVA based
    on both current family income and sex, including Eta.
  7. Provide the results of the analysis in APA style (don’t discuss the
    results here, only write them using the APA guidelines).
  8. Discuss the results, in your discussion please discuss the
    Levene’s test assumption and if the assumption was met or
    violated. In addition, include a discussion of the effect size
    measure

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