Two-Way Mixed ANOVA

Question 1

Two-Way Mixed ANOVA

Answer 1

An analysis of variance with 2 nominal IVs, one interval ratio DV, where one IV’s levels are unrelated (between-subjects) and the other IV’s levels are related (within-subjects).

Question 2

Between-subjects IV

Answer 2

The IV where the levels are unrelated; participants are randomly assigned to different groups.

Question 3

Within-subjects IV

Answer 3

The IV where the levels are related; participants are presented with all levels of the IV.

Question 4

Main effect

Answer 4

Direct influence of IV on DV.

Question 5

Interaction

Answer 5

Effect of IV1 in the presence of IV2.

Question 6

IV(B) df formula

Answer 6

k(IVB) - 1

Question 7

IV(B-e) df formula

Answer 7

N - k(IVB)

Question 8

IV(W) df formula

Answer 8

k(IVW) - 1

Question 9

IV(B) x IV(W) df formula (INT)

Answer 9

df(IVB) * df(IVW)

Question 10

IV(W-e) df formula

Answer 10

df(Total) - df(IVB) - df(IVW) - df(INT) - df(IVB-e)

Question 11

df(Total) formula

Answer 11

(k[IVB] * k[IVW] * n) - 1

Question 12

MS formula

Answer 12

SS/df

Question 13

F(IVB) formula

Answer 13

MS(IVB)/MS(IVB-e)

Question 14

F(IVW) formula

Answer 14

MS(IVW)/MS(IVW-e)

Question 15

F(IVBxIVW) formula

Answer 15

MS(IVBxIVW)/MS(IVW-e)

Question 16

Two-way mixed ANOVA steps

Answer 16

1. Compute F-ratios
2. Set criteria for decisions
3. Make decisions
4. Interpret (w/ comparisons if needed)

Question 17

Significant interaction

Answer 17

1. Conduct simple effects
2. k = 2 in simple effects ANOVAs: interpret significant mean differences in context of problem
3. k = 3+ in simple effects ANOVAs: Run a Tukey or a priori comparison test, then interpret significant mean differences in context of problem

Question 18

Significant main effect

Answer 18

1. k = 2: Interpret significant mean differences in context of problem
2. k = 3+: Run a Tukey or a priori comparison test, then interpret significant mean differences in context of problem

Question 19

No significant result

Answer 19

Interpret in context of problem