Two-Way Mixed ANOVA Flashcards
Two-Way Mixed ANOVA
An analysis of variance with 2 nominal IVs, one interval ratio DV, where one IV’s levels are unrelated (between-subjects) and the other IV’s levels are related (within-subjects).
Between-subjects IV
The IV where the levels are unrelated; participants are randomly assigned to different groups.
Within-subjects IV
The IV where the levels are related; participants are presented with all levels of the IV.
Main effect
Direct influence of IV on DV.
Interaction
Effect of IV1 in the presence of IV2.
IV(B) df formula
k(IVB) - 1
IV(B-e) df formula
N - k(IVB)
IV(W) df formula
k(IVW) - 1
IV(B) x IV(W) df formula (INT)
df(IVB) * df(IVW)
IV(W-e) df formula
df(Total) - df(IVB) - df(IVW) - df(INT) - df(IVB-e)
df(Total) formula
(k[IVB] * k[IVW] * n) - 1
MS formula
SS/df
F(IVB) formula
MS(IVB)/MS(IVB-e)
F(IVW) formula
MS(IVW)/MS(IVW-e)
F(IVBxIVW) formula
MS(IVBxIVW)/MS(IVW-e)
Two-way mixed ANOVA steps
- Compute F-ratios
- Set criteria for decisions
- Make decisions
- Interpret (w/ comparisons if needed)
Significant interaction
- Conduct simple effects
- k = 2 in simple effects ANOVAs: interpret significant mean differences in context of problem
- k = 3+ in simple effects ANOVAs: Run a Tukey or a priori comparison test, then interpret significant mean differences in context of problem
Significant main effect
- k = 2: Interpret significant mean differences in context of problem
- k = 3+: Run a Tukey or a priori comparison test, then interpret significant mean differences in context of problem
No significant result
Interpret in context of problem
