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Part IV Significantly Different: Using Inferential Statistics

Learn how to use Factorial Analysis of Variance (ANOVA) to examine the impact of high/low impact exercise and gender on weight loss. Explore main effects, interaction effects, hypotheses, and SPSS output interpretation.

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Part IV Significantly Different: Using Inferential Statistics

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  1. Part IVSignificantly Different:Using Inferential Statistics Chapter 14  Two Too Many Factors: Factorial Analysis of Variance

  2. Path to Wisdom & Knowledge • When to use a Factorial ANOVA…

  3. Factorial ANOVA • Factor 1 (Independent Variable) • Treatment (high/low impact exercise) • Factor 2 (Independent Variable) • Gender • Outcome (Dependent Variable) • Weight Loss • Questions to be answered… • Main effect of exercise? (does exercise affect weight loss?) • Main effect of gender? (does gender affect weight loss?) • Interaction between exercise & gender (does the interaction between exercise and gender affect weight loss?)

  4. Main Effects • Analysis of data reveals a difference between levels of a factor for GENDER but not IMPACT. Also, no interaction.

  5. Plotting the Main Effects

  6. Interaction Effects • Analysis of data reveals that levels of one factor differ across the levels of another factor

  7. Plotting Interaction Effects

  8. Hypotheses… • Null hypotheses • Research hypotheses

  9. Computing the F statistics Using SPSS…

  10. SPSS Output • What does it all mean?

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