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(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)

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

Accepted Answer

(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(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)

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

Accepted Answer

(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)

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

Accepted Answer

(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&#10;A) conduct MCPs to examine the two main effects and the interaction&#10;Effect.&#10;B) conduct MCPs to examine the interaction effect only.&#10;C) conduct MCPs to examine the two main effects.&#10;D) conduct MCPs to examine one main effect only.

Accepted Answer

(We only need to conduct MCPs to examine significant effect
(s) with more than one degree of freedom.)

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.

Accepted Answer

(_.1₀F_{2, 120} = 2.35, _.₁₀F_{3, 120} = 2.13, _.1₀F_{6, 120} = 1.82. Only F_A is larger than its critical value.)

Question 6

Questions are based on the following ANOVA summary table (fixed effects):&#10;  &#10;-How many cells are there in the design?&#10;A) 6&#10;B) 8&#10;C) 9&#10;D) None of the above

Accepted Answer

(df_A = 2, df_B = 3, so J = 3, K = 4. There are 12 cells.)

Question 7

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.

Accepted Answer

(N = df_total + 1 = df_A + df_B + df_AB + df_with + 1 = 132.)

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 .10 level of significance?

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

Accepted Answer

(_.₀₅F₅_,₆₀ = 2.37, _.₀₅F₁_,₆₀ = 4. All F values are larger than their respective critical value.)

Question 9

Questions are based on the following ANOVA summary table (fixed effects):&#10;  &#10;-How many cells are there in the design?&#10;A) 6&#10;B) 10&#10;C) 12&#10;D) None of the above

Accepted Answer

(df_A = 5, df_B = 1, so J = 6, K = 2. There are 12 cells.)

Question 10

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.

Accepted Answer

(N = df_total + 1 = df_A + df_B + df_AB + df_with + 1 = 72.)

Deck 2: Factorial Anova: Fixed-Effects Model