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Two-Way Between Groups ANOVA

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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. The basic 2 WayANOVA situation. 2 or more Nominal Independent Variable with two or more levels

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two way anovas
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
the basic 2 wayanova situation
The basic 2 WayANOVA situation
  • 2 or more Nominal Independent Variable with two or more levels
  • 1 Scale Dependent Variable
  • Effects of Drug and Age on recovery time
  • Effects of Exercise and Diet on number of friends
  • Effects of Toy Color and Gender on toy popularity
one way anova is limited
One Way ANOVA is Limited
  • Previous data, hour of exercise by relationship status. If I want to look at sex differences for hours of exercise, I have to do a second one-way ANOVA, and it will not tell me if there is a connection between sex and relationship status on hours of exercise.
testing for interactions
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
why use two way anovas
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
more anova vocabulary
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
two types of interactions in anova
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
understanding graphs
Understanding Graphs
  • Main Effects: distance between lines
  • Quantitative
understanding graphs1
Understanding Graphs
  • Interactions: slopes of lines
  • Qualitative
six steps for two way between groups anova
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.