In: Statistics and Probability
Please note that for all problems in this course, the standard
cut-off (alpha) for a test...
Please note that for all problems in this course, the standard
cut-off (alpha) for a test of significance will be .05, and you
always report the exact power unless SPSS output states p=.000
(you’d report p<.001). Also, remember that we divide the p value
in half when reporting one-tailed tests with 1 – 2 groups.
Problem Set 4: One-Way Repeated Measures ANOVA (7
pts)
Research Scenario: A savvy business owner
wanted to assess whether the type of fragrance influenced the
amount of money spent. He tried peppermint, lavender, lemon, and
bergamot essential oils in his four stores. Amount of money spent
(in hundreds) is reported for each type of fragrance.
Conduct a one-way repeated measures ANOVA to determine
whether fragrance influences total amount of money
spent.
Peppermint
|
Lavender
|
Lemon
|
Bergamot
|
5.2
|
5.3
|
5.1
|
3.9
|
5.1
|
4.8
|
4.9
|
4.3
|
4.8
|
5.0
|
2.2
|
3.5
|
6.2
|
3.2
|
4.0
|
3.7
|
3.1
|
2.3
|
3.8
|
2.1
|
4.5
|
4.9
|
4.7
|
2.3
|
4.8
|
3.5
|
3.8
|
1.0
|
3.7
|
4.7
|
4.1
|
2.8
|
2.8
|
5.1
|
3.5
|
4.2
|
|
- Paste the relevant SPSS
output. (2 pt)
- Create an appropriate graph to display
this data (make sure you have labels on both x and y axes). (2
pts)
- Write an APA-style
Results section based on your analysis. All homework “Results
sections” should follow the examples provided in the presentations
and textbooks. They should include the statistical statement within
a complete sentence that mentions the type of test conducted,
whether the test was significant, and if relevant, effect size
and/or post hoc analyses. Don’t forget to include a decision about
the null hypothesis. (3 pts)