Question

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, male cologne, and a floral perfume 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 Cologne Floral 4.2 3.3 5.1 3.9 5.1 1.8 4.9 4.3 4.8 3.0 3.2 3.5 6.2 3.2 4.0 3.7 3.1 2.3 3.8 2.1 4.5 2.9 4.7 2.3 4.8 3.5 3.8 1.0 3.7 4.7 4.1 2.8 2.8 3.1 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)

Answer 1

Null Hypothesis: The total amount of money spent is not influenced by the fragrance

Alternative Hypothesis: The total amount of money spent is influenced by the fragrance

From the ANOVA table, the P-value is 0.008 which is less than 0.05. Hence there is no evidence to accept the null hypothesis. Hence we can conclude that the total amount of money spent is influenced by fragrance.

For the given data Means Plot is given below

Hence the null hypothesis is rejected to find out the significant difference between the groups Tukey's Multiple comparisons test is used and the results are given below

From the above table, we can conclude the following results

There is a significant difference between Peppermint with Lavender and Floral groups.