Chapter 11 Factorial ANOVA Three-Way ANOVA AWS

Chapter 11 Factorial ANOVA

Three-Way ANOVA

Experimental Design  2 X 2 X 4 Between-Between-Between design

 Independent variables: • Sex (2 levels) 0 = female, 1 = male • Ethnicity (2 levels) 0 = non-white, 5 = white • Age (4 levels) 1 = 11, 2 = 12, 3 = 13, 4 = 14

 Dependent variable: PACER laps • 12 unique subjects in each of the 16 cells

SPSS Directions Variable View Screen

SPSS Directions (Cont.) Partial View of Data View Screen

SPSS Results Check to see if data entered correctly

SPSS Results Significant Effects: Sex Age Non-significant Effects: Ethnicity None of the 4 interactions is significant

SPSS Results  Multiple comparisons? • Sex – No • There are only two means. Males > Females

• Age – Yes • There are 4 Age groups

• Ethnicity – No – Not significant • Interactions – No – Not significant

SNK Results

Interestingly, the mean for the 13 year olds is significantly higher than the mean for the 11 year olds but the means for the 11, 12, and 14 year olds do not differ nor do the means for the 12, 13, and 14 year olds.