Factorial ANOVA

Question 1

When do you use Between subjects 2 way ANOVA?

Answer 1

Wish to compare samples based on multiple categories with 2+ levels in each category

Question 2

Qualities of 2 way ANOVA:

Answer 2

Two or more categorical IVs with 2+ levels. There is also one continuous variable

Question 3

Fully crossed:

Answer 3

All possible combinations of factors represented

Question 4

Between Subjects:

Answer 4

Different students in each possible combination

Question 5

Within subjects:

Answer 5

Every person is in each possible combination

Question 6

Mixed factorial ANOVA:

Answer 6

has a combination of between and within subjects. At least one IV has to be between and one has to be within

Question 7

Name different design types:

Answer 7

• Between subjects (Independent)
  Within subjects (repeated measures)
  Mixed (split plot)

Question 8

Pros of Factorial ANOVA:

Answer 8

Greater generalizability, more powerful, answers different research questions, can investigate interactions

Question 9

Which is more powerful, one way or factorial ANOVA?

Answer 9

Factorial

Question 10

What is an example of research questions in factorial ANOVA?

Answer 10

Is the mean of a DV significantly different among the levels of A averaged across levels of B? (main effect of A)

Question 11

What are interactions?

Answer 11

Occur when the effect of one factor on the DV depends on the level of the second factor

Question 12

What is the variance formula for factorial ANOVA?

Answer 12

Total = Factor A + Factor B + A*B + Within

Question 13

Sources of Between Group variability?

Answer 13

1 for each factor(the main effect) and 1 for each interaction

Question 14

What is the formula for df in Factors A and B?

Answer 14

(A) df: J-1 (J is the # of levels)
(B) df: K -1 )K is the # of levels)

Question 15

What is the df formula for the interaction between A and B?

Answer 15

dfa*b: (K-1)(J-1)

Question 16

What is the formula for dfw?

Answer 16

N - (J*K)

Question 17

What is the df for the total sample?

Answer 17

Dft: N-1

Question 18

How do you calculate the MS for factorial ANOVA?

Answer 18

SS/df

Question 19

How do you calculate the f for factorial ANOVA?

Answer 19

MS/MSwithin

Question 20

How many unique cells are in 3x4 factorial ANOVA?

Answer 20

12

Question 21

What is the formula for calculating SS in a 2 way factorial ANOVA?

Answer 21

SStotal = SSa + SSb + SSab + SSwithin

Question 22

What is the SStotal?

Answer 22

Variability of Y ignoring group membership

Question 23

What is SSa?

Answer 23

Variability of Y explained by factor A

Question 24

What is SSb?

Answer 24

The variability of Y explained by factor B

Question 25

What is SSab?

Answer 25

Variability of Y explained by the interaction of AxB

Question 26

What is SSwithin?

Answer 26

Variability of Y within each cell

Question 27

When does a main effect occur?

Answer 27

When there is a difference between levels for one factor

Question 28

When does an interaction occur?

Answer 28

When the effect of one factor on Y depends on the particular level of the other factor. AKA if the difference between levels of one factor is difference, depending on the other factor

Question 29

What is eta-squared?

Answer 29

the amount of variance explained out of the total variance

Question 30

What is partial eta squared?

Answer 30

The amount of variance explained out of only the variance attributed to that effect and the error variance

Question 31

Can you have significant main effects if the interaction is non significant?

Answer 31

Yes

Question 32

Can you have significant interaction if the two main effects are non-significant?

Answer 32

Yes