1. In response to media reports of violence on college campuses, a psychologist who works at a local community college decides to study students' perceptions of campus safety. He hopes to use these results to help develop an on-campus violence prevention program. The administration has asked him additionally to look at whether perceptions of safety differ depending on students' year in school and gender. The psychologist administers a questionnaire with possible scores ranging from 1 to 70, with higher scores indicating higher perceptions of safety on campus, and lower scores indicating perceptions that the campus is less safe. Run a two-way ANOVA to determine whether year in school and/or gender have an effect on perceptions of campus safety.
|
Male
|
Freshmen
|
Sophomore
|
Junior
|
Senior
|
|
39
66
54
66
60
|
44
32
62
59
29
|
63
67
46
51
41
|
45
53
68
57
60
|
|
Female
|
51
46
45
57
32
|
32
21
30
49
53
|
56
52
60
47
59
|
61
55
42
58
61
|
a) Paste the SPSS output
b) Write a current APA-style Results section based on your analyses. All homework Results sectionsmust follow the example given in the SPSS tutorials and the Course Content document "Writing Results of Statistical Tests in Current APA Format" (note: you do not have to refer to a figure). Remember to include a decision about the null hypothesis.For the two-way ANOVA, be sure to include statistical statements concerning the F ratios and p values for both main effects and the interaction, and interpretation statements about all 3 of these effects.
c) Based on group means, which class has the lowest perceptions of campus safety, regardless of gender?
d) Is there a significant interaction effect?