Week 9 Flashcards
If Levene’s p>.05
one way anova
if p<.05
post hoc bonferroni or Tukey HSD
If Levene’s p<.05
Robust Welch ANOVA
if p<.05
Post hoc Games-Howell
Factorial ANOVA
Examining impact of 2 or more factors
factors can be independent, repeated or mixed models
interaction effect can be significant
even when the main effect is not
main effects
mean differences across levels of one factor, collapsing/averaging/marginalising the other factors
when choosing contrasts (planned comparisons(
use CG as reference point
each contrast should compare only 2 pieces
contrasts must not interfere with each other (unique hypotheses, independence)
orthogonal
all contrasts are independent of one another
planned and have a reason
no. orthogonal contrasts=
k-1
Guidelines for contrasts
- choose sensible comparisons (only 2 chunks, if a group is singled out in one comparison, that group should be excluded from subsequent contrasts so the contrasts are orthogonal/independent)
- groups coded with positive weights will be compared against those of negative
sum of weight for a comparison should be - Sum of weight for a comparison should be 0
- if a group is not involved in a comparison, automatically assign weight of 0
- for a given contrast, the weights assigned to the group in one chunk of variation should be equal to the number of groups in the opposite chunk of variation
for k groups, there are ? possible orthogonal contrasts
k-1
k-1 contrasts are required to filly separate the variance explained by the model (SSM)