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Two-Way Between Groups ANOVA

Two-Way Between Groups ANOVA. Chapter 14. Two-Way ANOVAs. Are used to evaluate effects of more than one IV on a DV Can determine individual and combined effects of the IVs. Testing for Interactions.

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Two-Way Between Groups ANOVA

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  1. Two-Way Between Groups ANOVA Chapter 14

  2. Two-Way ANOVAs • Are used to evaluate effects of more than one IV on a DV • Can determine individual and combined effects of the IVs

  3. Testing for Interactions • An interaction occurs when two IVs have an effect in combination that we do not see when looking at each IV individually • Two-Way ANOVAs include to nominal IVs and a scale DV • Factorial ANOVA uses one scale DV and at least two nominal IVs (factors) • Factor: IV in a study with more than one IV

  4. Why Use Two-Way ANOVAs • To evaluate effects of two IVs, it is more efficient to do a single study than two studies with one IV each. • Can explore interactions between variables

  5. More ANOVA Vocabulary • Cell: box depicting a unique combination of levels of IVs in a factorial design • Main effect: When one IV influences the DV

  6. Two Types of Interactions in ANOVA • Quantitative: interaction in which one IV exhibits strengthening or weakening of its effects at one or more levels of the other IV, but the direction of the effect does not change • Qualitative: interaction of two or more IVs in which one IV reverses its effect depending on the level of the other IV

  7. What if both IVs influence the DV? • This is an interaction

  8. Six Steps for Two-Way Between-Groups ANOVA • Step 1. Identify the populations, distribution, and assumptions. • Step 2. State the null and research hypotheses. • Step 3. Determine the characteristics of the comparison distribution. • Step 4. Determine critical values, or cutoffs. • Step 5. Calculate the test statistic. • Step 6. Make a decision.

  9. df Formulae for ANOVAs

  10. Determining the Cutoff Point

  11. Effect Size for Two-Way ANOVA

  12. Variations on ANOVA

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