Deck 2: Factorial Anova: Fixed-Effects Model

Question 1

Questions are based on the following plots of cell means. Assume that the within-cell variation is very small.
(1) (2) (3) (4)
-Which plot indicates that both main effects are significant but the interaction effect is nonsignificant?

A) plot (1)
B) plot (2)
C) plot (3)
D) plot (4)

Answer 1

A
(The two lines are parallel; the mean of B₂ is higher than that of B₁ across levels of A; the mean of A₂ is higher than that of A₁ across levels of B.)

Question 2

Questions are based on the following plots of cell means. Assume that the within-cell variation is very small.
(1) (2) (3) (4)
-Which plot indicates that neither of the main effects are significant but the interaction effect is significant?

A) plot (1)
B) plot (2)
C) plot (3)
D) plot (4)

Answer 2

C
(The two lines are obviously not parallel; A₁ and A₂ have the same aggregated mean; B₁ and B₂ have the same aggregated mean.)

Question 3

Questions are based on the following plots of cell means. Assume that the within-cell variation is very small.
(1) (2) (3) (4)
-Which plot(s) indicate(s) significant interaction effects?

A) plot (1) and (2)
B) plot (2) and (3)
C) plot (1), (2), and (3)
D) plot (1) and (4)

Answer 3

B
(Nonparallel lines suggest that an interaction may exist. )

Question 4

The results of a two-factor ANOVA (J = 3, K = 2) show that both main effects are significant, but the interaction is not significant. We need to

A) conduct MCPs to examine the two main effects and the interaction
Effect.
B) conduct MCPs to examine the interaction effect only.
C) conduct MCPs to examine the two main effects.
D) conduct MCPs to examine one main effect only.

Question 5

Questions are based on the following ANOVA summary table (fixed effects):

-For which source of variation is the null hypothesis rejected at the .10 level of significance?

A) A
B) B
C) AB
D) All of the above.

Question 6

Questions are based on the following ANOVA summary table (fixed effects):

-How many cells are there in the design?

A) 6
B) 8
C) 9
D) None of the above

Question 7

Questions are based on the following ANOVA summary table (fixed effects):

-The total sample size for the design is which one of the following?

A) 131
B) 132
C) 134
D) None of the above

Question 8

Questions are based on the following ANOVA summary table (fixed effects):

-For which source of variation is the null hypothesis rejected at the .05 level of significance?

A) A
B) B
C) AB
D) All of the above.

Question 9

Questions are based on the following ANOVA summary table (fixed effects):

-How many cells are there in the design?

A) 6
B) 10
C) 12
D) None of the above

Question 10

Questions are based on the following ANOVA summary table (fixed effects):

-The total sample size for the design is which one of the following?

A) 72
B) 74
C) 77
D) None of the above