Deck 12: One-Way Between-Subjects Analysis of Variance Anova

Question 1

The formula for calculating SS_Total is:

Answer 1

A

Question 2

The formula for calculating SS_Between is:

Answer 2

C

Question 3

The formula for calculating SS_Within is:

Answer 3

B

Question 4

The formula for calculating df_Total is:

A) N - 1.
B) N - k.
C) k - 1.
D) N - (k - 1).

Question 5

The formula for calculating df_Between is:

A) N - 1.
B) N F- k.
C) k - 1.
D) N - (k -1).

Question 6

The formula for calculating df_Within is:

A) N - 1.
B) N - k.
C) k -1.
D) N - (k - 1).

Question 7

To calculate MS_Between, we divide _____ by _____.

A) SS_Total; df_Total
B) SS_Between; df_Between
C) SS_Within; df_Within
D) SS_Between; df_Within

Question 8

To calculate MS_Within, we divide _____ by _____.

A) SS_Total; df_Total
B) SS_Between; df_Between
C) SS_Within; df_Within
D) SS_Between; df_Within

Question 9

The final F-ratio is determined by dividing _____ by _____.

A) MS_Within; MS_Between
B) MS_Between; MS_Within
C) MS_Between; df_Between
D) MS_Within; df_Within

Question 10

For an F-ratio with df = 2, 26, the F_cv for $\alpha$ = .05 would be:

A) 2.36.
B) 3.37.
C) 4.23.
D) 5.53.

Question 11

For an F-ratio with df = 3, 30, the F_cv for $\alpha$ = .05 would be:

A) 2.36.
B) 2.92.
C) 4.23.
D) 5.53.

Question 12

For an F-ratio with df = 4, 24, the F_cv for $\alpha$ = .05 would be:

A) 2.78.
B) 3.37.
C) 4.23.
D) 5.53.

Question 13

For an F-ratio with df = 2, 20, the F_cv for $\alpha$ = .05 would be:

A) 2.36.
B) 3.37.
C) 3.49.
D) 5.85.

Question 14

If a researcher reported an F-ratio with df = 3, 32 for a between-subjects ANOVA, then there were _____ conditions in the experiment and _____ total subjects.

A) 4; 36
B) 4; 40
C) 3; 36
D) 3; 32

Question 15

If a researcher reported an F-ratio with df = 2, 24 for a between-subjects ANOVA, then there were _____ conditions in the experiment and _____ total subjects.

A) 4; 25
B) 4; 27
C) 3; 27
D) 3; 25

Question 16

If a between-subjects ANOVA produced MS_between = 35 and MS_within = 15, then the F-ratio would be computed as:

A) 35/15 = 2.33.
B) 15/35 = .43.
C) 35/50 = .70.
D) 50/15 = 3.33.

Question 17

If a between-subjects ANOVA produced MS_between = 20 and MS_within = 5, then the F-ratio would be computed as:

A) 20/5 = 4.00.
B) 5/20 = .025.
C) 20/25 = 0.80.
D) 25/5 = 5.00.

Question 18

If a between-subjects ANOVA produced SS_between = 35 and SS_within = 15, then would be _____.

A) 35/50 × 100 = 70
B) 50/35 × 100 = 143
C) 15/50 × 100 = 30
D) none of the above

Question 19

Which of the following is NOT an assumption of the one-way between-subjects ANOVA?

A) The data are interval or ratio.
B) The underlying distribution is skewed.
C) The variances among the populations being compared are homogeneous.
D) All of the above.

Question 20

Calculate Tukey's HSD and eta-squared for the following ANOVA.

Question 21

The following ANOVA table corresponds to an experiment on pizza preference (0-10) based on the topping (plain, sausage, pepperoni, or everything). The mean preference by groups is as follows:
Plain: 8.5
Sausage: 6.8
Pepperoni: 6.5
Everything: 2.7
Fill in the table for a between-subjects design with a total of 6 subjects per condition, draw the graph representing the data, calculate eta-squared and Tukey's HSD, and draw conclusions based on the ANOVA table and the means provided.