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Part IV Significantly Different: Using Inferential Statistics. Chapter 14 Two Too Many Factors: Factorial Analysis of Variance. Path to Wisdom & Knowledge . When to use a Factorial ANOVA…. Factorial ANOVA. Factor 1 (Independent Variable) Treatment (high/low impact exercise)
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Part IVSignificantly Different:Using Inferential Statistics Chapter 14 Two Too Many Factors: Factorial Analysis of Variance
Path to Wisdom & Knowledge • When to use a Factorial ANOVA…
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?)
Main Effects • Analysis of data reveals a difference between levels of a factor for GENDER but not IMPACT. Also, no interaction.
Interaction Effects • Analysis of data reveals that levels of one factor differ across the levels of another factor
Hypotheses… • Null hypotheses • Research hypotheses
Computing the F statistics Using SPSS…
SPSS Output • What does it all mean?