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Question: I. If you had a significant interaction effect, follow this up with a simple effects analysis. Organize your results in the following table. SS

Question:

I. If you had a significant interaction effect, follow this up with a simple effects analysis. Organize your results in the following table.

SS df MS F
Rows at Column 1
Rows at Column 2
Columns at Row 1
Columns at Row 2
Within-groups

Context may needed for the question:

Part I: Studies have shown how drinking alcohol can increase aggression. However, a psychologist is interested in whether the relationship between alcohol and aggression depends on the environment that the person is in. The psychologist recruits a sample of participants and randomly assigns them to either drink alcohol (drunk condition) or drink juice (sober condition). They also manipulate the context that the person is in by having half of each group watch either a boxing match or an opera show. Treatenvironment (boxing vs. opera) as your row factor andalcohol (drunk vs. sober) as your column factor. The data from this study are provided in the table below.

Boxing Opera
Sober Drunk Sober Drunk
5 10 3 5
6 11 2 5
3 10 1 6
5 13 3 5
6 11 6 4
  1. State all of the null and alternative hypotheses for this study.

H0: Thereis no interaction effect between the environment (boxing vs. opera) and alcohol consumption (drunk vs. sober) on aggression.

H1:Thereis an interaction effect between the environment (boxing vs. opera) and alcohol consumption (drunk vs. sober) on aggression.

  1. Find each of the cell means, the row marginal means (environment), the column marginal means (alcohol), and the grand mean (GM). Use the following table to organize your answers.
Sober Drunk Means
Boxing 5 11 8
Opera 3 5 4
Means 4 8 6

D. Now you will calculate your three F-ratios for each of your hypothesis tests. Complete the following two-way ANOVA table to organize your answers.

SS df MS F
Between-groups 180 3 X X
Rows 80 1 80 45.7
Columns 80 1 80 45.7
R x C 20 1 20 11.4
Within-groups 28 16 1.75
Total 208 19 X X

E. Identify the criticalF-value using theF-distribution table and specify the degrees of freedom used to determine this value.

The criticalF-value is 4.494, using the degrees of freedom (1, 16)

F. Make a decision as to whether or not to reject each of the null hypotheses.

We would reject the null hypotheses.

G. Using words, explain your results. Specifically, describe what can be concluded for any significant main effects and/or interaction effects that you found.

Since we found ourF-values to be significant, this means there are significant findings in the study. This significance could come from a main effect of alcohol consumption on aggression, a main effect of the environment on aggression, or an interaction effect, meaning that the relationship between alcohol and aggression is influenced by the boxing or opera environment.

H. Provide partial eta squared (p2) as a measure of effect size for each hypothesis test.

p2 row = 0.741 (large effect)

p2 collum = 0.741 (large effect)

p2 interaction = 0.417 (medium effect)

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