Mod. 13, Between Subjects ANOVA Flashcards
Conditions for Between Subjects ANOVA
Populations have equal variances (robust if this is violated)
Populations normally distributed
All groups are independent
3 questions answered by between subjects ANOVA
ANSWERS these questions: main effect of first IV? Main effect of second IV? Interaction between two IVS? (focus is on the interaction effect)
Variability due to error, between subjects design
any variability not due to an IV
For within subjects ANOVA, why do we not need to calculate F observed for between groups variation?
We know individuals already vary from each other naturally, we are only interested in sources of variation from our manipulation
Conditions for Repeated Measures
Normally distributed data
Homogeneity of variance
Sphericity: homogeneity of variance between levels (refers to the variances of the differences between all combos of all levels of the within-subjects factor:
Robust to violations of normality and homogeneity, but NOT SPHERICITY
Spurious correlations
If you run 20 correlations, its likely that a correlation is due to chance: SPURIOUS CORRELATIONS (when find a correlation but doesn’t actually indicate a true association)
Outcome should always be on y axis
4 possible outcomes of correlations
If there is a significant correlation between two variables, each of these possibilities considered: it might be a cause and effect relationship where x causes y, or might be that y causes x, or might be that there’s a third variable =, or relationship might be entirely due to chance
Correlations and generalizations
WE CANNOT MAKE GENERALIZATIONS BEYOND OUR DATA THAT THE RELATIONSHIP WILL CONTINUE IN A LINEAR WAY BEYOND OUR DATA
We’re describing the data rather than making generalizations
Correlation is NOT significance: we need to determine whether two variables are significantly correlated at a specified level of significance
USE T TEST
Within subjects null and alternative
null?: all means are same
alternative: at least 2 means are different
Chi square null and alternative
null: expected and observed frequencies are the same
alternative: expected and observed are different
between subjects null and alternative
null: no main effects and no interaction
alternative: significant main effects and significant interaction