Question

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 2: Two-way mixed design ANOVA (8 pts) Research Scenario: A researcher is attempting to determine the effects of age and sleep deprivation on a reaction time task. Participants (5 “old”; 5 “young”) in an experiment are given a computerized search task. They search a computer screen of various characters and attempt to find a particular character on each trial. When they find the designated character, they press a button to stop a timer. Their reaction time (in ms) on each trial is recorded (note, so the lower the number, the faster the time). Participants each underwent all three sleep conditions across three days - after having 0, 4, or 8 hours of sleep (times were counterbalanced). The reaction time data for the 10 participants appear below. Using this table, enter the data into a new SPSS data file and run the appropriate test to assess whether sleep deprivation and/or age affect performance on reaction time. Remember that between subjects variables such as “Age” will be represented using a single column in SPSS. Within subjects variables such as sleep would be represented in multiple columns – one per level. Hint: for this data entry, you will end up for a total of four columns in SPSS. Young Old 0 hours 12 11 13 12 12 10 11 12 11 11 4 hours 10 11 10 12 10 10 8 10 7 9 8 hours 7 10 5 9 7 12 6 12 7 11

12. Paste the relevant SPSS output, including post hocs if necessary. (2 pts)

13. Create the most appropriate graph for this data given the results. (2 pts)

14. 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. (4 pts)

Answer 1

Above analysis done in R.

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