Chapter 7- Analysis of Variance Flashcards
(14 cards)
Analysis of Variance (ANOVA) uses
draw inferences about population means when there are more than two means being compared
Assumptions for ANOVA
- Random sampling
- Normal distribution
- Equality of group variances
Same as with the t-test
What does ANOVA partition?
ANOVA involves the partitioning of variance of the dependent variable into the components that contribute to score variability
ANOVA formula
F ratio= MSB/MSW
One-way ANOVA use:
Compare means for three or more independent groups
Multifactor ANOVA use:
Used when there are two or more independent variables (called factors). Multifactor ANOVA tests for both main effects and interaction effects
“Main effects”
The effects of the independent variables on the dependent variable
“Interaction Effects”
The effects of the independent variables in combination
Repeated measures analysis of Variance (RM-ANOVA) use:
Used for within-subjects designs.
When means are computed for the same people three or more times.
Effect size statistic name:
Eta-squared (η^2)
Eta-squared (η^2)
indicates the proportion of variability in the dependent variable accounted for by the independent variable
Multifactor ANOVA formula
SS total = (SS factor 1) + (SS factor 2) + (SS interaction) + (SS error)
What makes up the “corrected model” section in the SPSS output
Corrected Model = The main effects (SS factor 1 + SS factor 2+…) and the interactions (SS of factor interactions)
Another name for Multifactor ANOVA
Factorial ANOVA