PSY 870: Module 4 Problem Set
2 Ã— 3 Between-Subjects Factorial ANOVA: Study Environments by Gender
This study investigates whether study environment affects academic performance. In addition, this study investigates whether sex of student moderates the effect of study environment on academic performance (that is, do males and females differ in how much benefit they get from studying in certain environments).
During the first half of the spring semester, 120 male students and 120 female students in grade 10 at a public high school in a large metropolitan area in the southwestern region of the United States were randomly assigned to one of three study environment: study in front of the TV, at the library, or in the food court. The students could ONLY study in the environment to which they were assigned during the research period. At the end of the 7-week research period, mid-term GPA was computed for each student. A change score was computed for each student: each student’s spring midterm GPA was subtracted from his or her GPA for the preceding fall semester. The difference was each student’s GPA Improvement score. The GPA improvement score was used to measure academic performance.
Using the SPSS 2 Ã— 3 ANOVA data file for Module 4 (located in Topic Materials), answer the following questions.NOTE: Helpful hints are provided here for you to use while answering these questions. There is no separate answer sheet/guide to use while doing this assignment.
Report eta squared, h2; ignore partial eta squared that SPSS can provide. You have to calculate eta squared yourself. It is not given to you by SPSS, but you can use what SPSS provides to calculate it. Eta squared is calculated by using the values in the column headed Type III Sum of Squares from the table with the results for Tests of Between-Subjects Effects. To compute eta squared, which would be notated as h2, take that source’s Type III Sum of Squares and divide it by the value for Corrected Total in the same column. For example, if the Type III Sum of Squares for Environment had been 4.5 rather than 4.696, you would divide 4.5 by 14.677 to get the effect size for Environment. If the Type III Sum of Squares for Sex had been 2.0, you also would divide that by 14.677, etc. Interpret these eta squared results for effect size using the following guidelines from Cohen (1988):
6. Citing the results of your statistical analyses, what is the conclusion you can draw (and support) regarding research question that was posed in this research (see problem statement)? Write a results section for this study that expresses and supports this conclusion.
Use the sample write-up of the results for the Two-Way Between-Subjects ANOVA example that is in the textbook to see what you should report and how to say it. Just substitute the correct language and values for the analyses you have done for this problem.
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