Focu s: Factorial Analysis of Variance goals, assumptions, analyses, post-hoc comparisons, interpretations
Focu s:
Factorial Analysis of Variance
goals, assumptions, analyses, post-hoc comparisons, interpretations
SPSS Windows
Exercise:
Setup: You are conducting an investigation of the amount of ‘fun’ people have on vacation, and think that relaxation techniques may have a direct effect on this enjoyment.
Factor B reflects that subjects were assigned to either a control or intervention group. Factor A reflects that subjects were assigned to take a particular length vacation (1, 2, or 3 weeks).
The intervention you devised included training in relaxation, Zen philosophy, and yoga. You instructed the intervention group that, when on vacation, to practice these techniques daily. The response measure (DV) is a measurement of vacation enjoyment scored on a scale of 0 to 9, with 0 indicating "little fun/amusement" and 9 indicating "great fun/amusement."
The following data were obtained (in cell format below).
Vacation Length (A)
| Group | 1 | 2 | 3 |
| Control | 0, 1, 0 | 4, 7, 6 | 5, 8, 6 |
| Intervention | 5, 7, 6 | 5, 6, 7 | 9, 8, 8 |
Mean A 1 B 1 = 0.33 Mean A 2 B 1 = 5.66 Mean A 3 B 1 = 6.33
Mean A 1 B 2 = 6.00 Mean A 2 B 2 = 6.00 Mean A 3 B 2 = 8.33
Tasks:
- Enter your data in SPSS. Check your assumptions for ANOVA using SPSS. Run GLM in SPSS to get your factorial ANOVA results. To double-check your mean values for the cells vs. those presented above, request main effect means and interaction means. Use a .05 cut-off for your alpha level for your main effects and interaction term. Also, provide an eta-square by hand for proportion of variance accounted for by the effects.
- Perform a multiple comparison Tukey test if the Vacation Length main effect variable is significant.
- Plot your cell means either in Excel (main effects and interaction effects) or in SPSS as part of the GLM option.
Outcome –
- include a brief 1-paragraph overview of the intended study with some possible hypotheses.
- Interpret ANOVA assumptions in a second paragraph.
- Provide an ANOVA summary table with findings (with eta-square and effect sizes) in a third paragraph.
- Interpret the Tukey test, and talk about your interaction effect (technically we are NOT going to do follow-up tests for the interaction effect, but I want you to talk about the effect if its significant and what it means based on the graph you create).
- A fifth/final paragraph will be a Discussion (what can you conclude from all of this?). Include a graph of the main effects and interaction mean values. Append your computer output.
Deliverable: Word Document
