anova - repeated measures Flashcards
(8 cards)
what is a between-groups ANOVA based on?
the variance explained by the experiment (the effect) - variance between groups
the residual (remaining) variance that cannot be explained (noise) - variance within groups
what are the sources of variance in a repeated-measures ANOVA?
variance between conditions
variance between subjects (individual differences)
residual (unexplained) variance
what is a multi-factorial ANOVA?
similar in spirit to repeated-measures ANOVA
factors can all be within-subject, all between-group of a “mixed” design
can have a “main” effect of a variety of “interactions”
what is the main effect in a multi-factorial ANOVA?
one of the factors consistently affects the DV in the same way
what are interactions in a multi-factorial ANOVA?
the effect of one factor depends on the presence of another
what is a 2x2 ANOVA?
multifactorial ANOVA = single test
returns multiple F values (one for each main effect to be checked and one for interaction)
with only two levels, no need for post-hoc tetss
so 2x2 is single test (no family-wise error)
equivalent full comparisons using t-tests would be check all 6 combinations of the 4 conditions
why ANOVA seem to be a convenient way to take all factors into account at once?
yields an F-ratio and a significance value for any interactions you may be interested in
but interpreting a 4-way interaction with 3 levels in each factor is hard
what is ANOVA a trade-off between?
being realistic and being able to interpret data