Topic 8/9: Between subject Factorial Anova_Repeated Measure ANOVA

Question 1

Factorial design

Answer 1

More than 1 IV each with 2 or more levels

Question 2

Between- subjects factorial ANOVA assumptions: (3)

Answer 2

1. All groups are independent of eachother
2. Populations are normally distributed
3. Populations have equal variances

Question 3

The Factorial ANOVA for a two factor design answers each of the following questions:
It does it by ….

Answer 3

1. Is there a main effect of the first IV
2. Is there a main effect of the second IV
3. Is there an interaction effect between the two IVs?
   By giving us an F-ratio for each of the questions that are asked

Question 4

When you have alot of diff conitions

Answer 4

we get a smaller and smaller critical F to account for that

Question 5

Null hypothesis/ alternative hypothesis for main effects and interactions

Answer 5

Question 6

Assumption of repeated Measures ANOVA (3)

Answer 6

1. Normally distributed data
2. Homogenity of variance (Variance between Ps)
3. Sphericity (variance between levels)
   - Refers to the variances of the differences between all combinations of levels of the within-subjects factor
   - Assumes that these differences are roughly equal

Question 7

Repeated Measures ANOVA is robust to …. but not….

Answer 7

• violations of normality and homogenity
• sphericity

Question 8

Sphericity example

Answer 8

• Marginal mean of treatment time are all roughly the same

Question 9

Mauchly’s test of sphericity

Answer 9

• If p> 0.05 assume sphericity assumption met
• If p<0.05 sphericity assumption is violated

Question 10

Hypothesis for repeated Measure ANOVA

Answer 10

Same as one way independent anova

Question 11

Rejecting null for repeated measure ANOVA what is it phrased like?

Answer 11

At least one mean is different from another