Mixed-Design ANOVA This assignment requires students to use SPSS to input and analyze a data set. Students
Mixed-Design ANOVA
This assignment requires students to use SPSS to input and analyze a data set. Students should compose their answers to the assignment in a doc file, which should be uploaded along with the sav (data set) and spv (output) files.
1. Enter the data from the following table into SPSS. All fields in the "Variable View" window should be completed for each variable.
[Note: Pre-test and post-test scores can range from 0 to 100 and represent the number of statistics multiple choice questions answered correctly.]
| Participant | Caffeine | Pre-test | Post-test |
| 1 | Caffeine | 75 | 85 |
| 2 | Caffeine | 77 | 88 |
| 3 | Caffeine | 69 | 89 |
| 4 | Caffeine | 75 | 92 |
| 5 | Caffeine | 73 | 86 |
| 6 | Caffeine | 80 | 94 |
| 7 | Caffeine | 74 | 81 |
| 8 | Caffeine | 78 | 87 |
| 9 | Caffeine | 77 | 96 |
| 10 | Caffeine | 70 | 80 |
| 11 | Placebo | 75 | 79 |
| 12 | Placebo | 72 | 75 |
| 13 | Placebo | 70 | 71 |
| 14 | Placebo | 73 | 75 |
| 15 | Placebo | 71 | 73 |
| 16 | Placebo | 74 | 76 |
| 17 | Placebo | 78 | 80 |
| 18 | Placebo | 75 | 76 |
| 19 | Placebo | 73 | 74 |
| 20 | Placebo | 78 | 81 |
2. Create frequency tables and obtain the mean, median, mode, standard deviation, and variance for the pre-test and post-test variables.
3. Run a two-way ANOVA, conducting any appropriate post-hoc tests and graphing any interactions.
4. Save the data set as a sav file, and save the output with the tables and data as a spv file. Upload both of these SPSS files with the doc file when submitting the assignment for grading.
5. Answer the following questions in a doc file, based on the results you obtained:
- List the variables and explain their scale of measurement (nominal, ordinal, interval, or ratio).
- You are told that this data set represented the following study: "Participants were assigned to either the caffeine condition or placebo condition, where they were either given a pill containing 100mg of caffeine or a sugar pill (the placebo). Equal numbers of students were assigned to each condition. Before and after taking the pill, each participant was given a basic statistics test (possible scores range from 0 to 100). It was expected that the caffeine group would experience a greater increase in test scores than those in the placebo group." What are the independent and dependent variables in this study?
- What is the mean, median, mode, range, standard deviation, and variance for pre-test and post-test scores?
- What are the null and alternative hypotheses for the study? Provide the statistical notation and written explanation for each.
- Complete the following ANOVA table based on the results obtained from SPSS (not all cells require a number):
Summary of mixed-design ANOVA of pre-test and post-test scores
| Source | SS | df | MS | F | p |
- Why did we run a mixed-design ANOVA on this data set?
- What are the main effects and are they statistically significant? How do you know?
- What is the interaction and is it statistically significant? Describe the graph of the interaction.
- Should you conduct a post-hoc test on the means for either main effect or the interaction? Why or why not? If so, after conducting the test, which means are significantly different from each other for the tested main effect(s) and/or interaction? How do you know?
- What conclusion might you draw from all of these results? Do we retain or reject our null hypotheses? Explain. (Please see George and Mallery (2011), bottom of page 159, for examples of how to present results for ANOVA tests in sentence format, including the necessary statistics.)
Deliverable: Word Document
