test 4 Flashcards
When do you use one-way between subjects ANOVA?
- 2 variables
- independent groups design
- IV has more than 2 variables
- DV is interval level
Why not do pairwise tests?
- would increase probability of making Type I error
- ANOVA f- ratio provides a single omnibus (overall) test of null hypothesis
One-way between-subjects ANOVA hypotheses
Ho: σ2μj= 0
H1: σ2μj > 0
One-way between-subjects ANOVA assumptions
- normative
- homogeneity of variance
F ratio for one-way between-subjects ANOVA - conceptual
F = variance between groups / variance within groups
One-way between-subjects ANOVA partition of sums of squares
SS total = SS between + SS within
One-way between-subjects ANOVA degrees of freedom
df (BG) = k - 1
df (E) = N - k
df (total) = N - 1
One-way between-subjects ANOVA critical value
Look up in table C.3
Numerator: df (BG)
Denominator: df (E)
F ratio
F = MS (between) / MS (within)
Tukeys HSD Test
in one-way between-subjects ANOVA
- tells us which pairwise comparisons are significantly different from one another
1. calculate differences between all the pairs of means
2. use Tukey’s CD
3. q is in table C. 4
Any difference in pairwise comparisons of means that meets or exceeds the CD (in abs val) is significant
When is one-way repeated measures ANOVA used?
- 2 variables
- IV has more than 2 levels
- DV is interval level
one-way repeated measures ANOVA key assumptions
- normality
- sphericity (equal variances for all treatments and each participants’ scores are related across treatments
one-way repeated measures ANOVA hypotheses
Ho: σ2μj = 0
H1: σ2μj > 0
F- ratio one-way repeated measures ANOVA- conceptual
F = variance between treatment means/ error variance
one-way repeated measures ANOVA partitioning 2 sources of error
SS (BP): overall individual differences on the DV (controlled by design)
SS (E): individual differences in the way that IV influences scores on DV