lecture notes Flashcards
continuous data
ANOVA
What type of inferential test analyzes the magnitude of difference between two means?
a) ANOVA
b) chis-square
c) ttest
d) factorial AONVA
C
another word for row means and column means
marginal means
Marginal means
the main effects of each factor (IV)
-seen in row and column totals
interaction means
cell data
What are the benefits of factorial ANOVA
- allows us to capture more complexity
- helpful in studying social and psychological phenomena b/c they are affected by more than one IV
- allows us to examine the interactions of variables
- it is economical- we can test multiple hypotheses simultaneously
omnibus test
Omnibus tests are statistical tests that are designed to detect any of a broad range of departures from a specific null hypothesis
partitioning variance in factorial ANOVA
SSgroups are partitioned even further than one way ANOVA- SSa, SSb, SSab (variance of each factor and then variance of interaction of factors)
the higher your f…
the smaller and more significant your p will be
factorial ANOVA
when your main effects and interaction effects are both significant which one do you interpret first?
YOUR INTERACTION
An interaction occurs when…
the effects of one IV depend on the level of the other IV
Tools to understand interaction effects
- cell mean plots (visual pattern of interaction, ordinal/disordinal)
- simple effects analysis (to determine the source of our significance- one way ANOVA)
- Tukey HSD test (all possible pairs of cell means are tested)
When do you use Tukey over simple effects analysis?
Simple effects analysis would be suitable when there are only two levels to each of the simple effects (if there were more than two levels then Tukey’s HSD would be preferable
ordinal interaction
have simple effects that are in the same direction
disordinal interaction
have simple effects that are in opposite directions