In: Statistics and Probability
Early in this chapter we described a study by Bartholow and Anderson (2002) examining how the experience of violence in video games influenced aggressive behavior for males and females.
|
Early in this chapter we described a study by Bartholow and Anderson (2002) examining how the experience of violence in video games influenced aggressive behavior for males and females. Their results suggest that increased violence increases aggressive behavior for males but has little or no effect for females. The following data are measures of aggressive behavior similar to the results obtained in the study.
Factor A: Gender
|
Factor B: Type of Game
|
|
Nonviolent |
violent |
|
3 |
9 |
|
6 |
4 |
Female |
2 |
5 |
|
2 |
8 |
|
4 |
4 |
|
7 |
6 |
|
9 |
12 |
|
9 |
16 |
Male |
4 |
13 |
|
8 |
17 |
|
10 |
13 |
|
8 |
13 |
Use a two-factor ANOVA with α = .05 to evaluate the significance of the main effects and the interaction.
Compute M, T, and SS for each of the four conditions.
Factor A:Gender
|
Factor B: Type of Game
|
|
Nonviolent |
violent |
Female |
M = |
M = |
|
T = |
T = |
|
SS = |
SS = |
Male |
M = |
M = |
|
T = |
T = |
|
SS = |
SS = |
|
∑X² = |
|
Fill in the missing values of the following ANOVA table. Note: Do not round the MS values, but round the F statistics to two decimal places.
Source
|
SS
|
df
|
MS
|
F
|
Between treatments |
|
|
|
|
Factor A (Gender) |
|
|
|
|
Factor B (Type of Game) |
|
|
|
|
A x B Interaction |
|
|
|
|
Within treatments |
|
|
|
|
Total |
|
|
|
|
What are the critical F values? (Use two decimal places.)
F Distribution
Numerator Degrees of Freedom = 6
Denominator Degrees of Freedom = 16
0.01.02.03.04.05.06.07.08.09.010.011.012.0F
F-criticalAA |
= |
|
F-criticalBB |
= |
|
F-criticalAxBAxB |
= |
Is there a main effect for factor A?
Is there a main effect for factor B?
Is there an interaction?
Calculate the effect size (η²) for the main effects and the interaction. (Use three decimal places.)
η2AA2 |
= |
|
η2BB2 |
= |
|
η2AxBAxB2 |
= |
Describe the effect of the violent game compared with a nonviolent game on the aggressive behavior for males and for females.
Overall, aggressive behavior in male subjects is in female subjects, and aggressive behavior after a violent game is after a nonviolent game. The violence of the game has on the female participants, and on the males.
|
|
|