Higher order factorial designs

Question 1

How many main effects are considered in a three way ANOVA?

Answer 1

Three. One for every factor. (Averaged over other factors)

Question 2

What is a simple interaction? (When do you examine it?)

Answer 2

The effect of AB at a particular level of C (2 way intx within a level of the the third variable). (The follow up test for a 3 way interaction.)

Question 3

What is a “graph moderator”?

Answer 3

The variable split into different graphs for each level, in a 3 way interaction.

Question 4

How do you know there is a 3 way interaction?

Answer 4

The two way interaction is not identical between all levels of the third variable

Question 5

What is necessary for examining a two way interaction in a 3 way design?

Answer 5

Averaging over levels of the third variable to look at just two variables of interest.

Question 6

What are two things error variance contains/describes?

Answer 6

Variance due to chance and variance due to effects of unmeasured factors.

Question 7

How many two way interactions are in a 3 way factorial model? How many 3 way interactions?

Answer 7

3 two ways

1 three way

Question 8

When there are no main effects but a significant interaction, there is a high chance of a _______ interaction?

Answer 8

disordinal/cross-over

Question 9

Why does analysis of a 3 way interaction give a more appropriate statistical test than two 2way interactions, conducted serially as separate studies?

Answer 9

The pooled error term of the 3 way incorporates variance from the entire set of data.