Two way anova- assignment

The Two-factor ANOVA for Independent Measures and Cumulative Knowledge Question Student Name Institution Professor Name Course Date The Two-factor ANOVA for Independent Measures and Cumulative Knowledge Question Problem Set 1: The Two-Factor ANOVA for Independent MeasuresResearch Scenario: 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 1-70, with higher scores indicating higher perceptions of safety on campus, and lower scores indicating perceptions that the campus is less safe. The data are displayed in the table below.Conduct a two-way ANOVA to determine the effect of gender and year in school on perceptions of campus safety. Remember to put your initials within any and all variable names. Create a multiple line graph to display the differences between the groups. Follow the directions below the table to complete the homework.Problem Set 1: The Two-Factor ANOVA for Independent MeasuresResearch Scenario: 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 1-70, with higher scores indicating higher perceptions of safety on campus, and lower scores indicating perceptions that the campus is less safe. The data are displayed in the table below.Conduct a two-way ANOVA to determine the effect of gender and year in school on perceptions of campus safety. Remember to put your initials within any and all variable names. Create a multiple line graph to display the differences between the groups. Follow the directions below the table to complete the homework. 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 1 Paste SPSS output. (10 pts) Tests of Between-Subjects Effects Dependent Variable:TJP_perceptions of safety on campus score Source Type III Sum of Squares df Mean Square F Sig. Partial Eta Squared Corrected Model 1799.975a 7 257.139 2.266 .054 .331 Intercept 102921.025 1 102921.025 906.793 .000 .966 SYiS 1333.075 3 444.358 3.915 .017 .268 Gender 225.625 1 225.625 1.988 .168 .058 SYiS * Gender 241.275 3 80.425 .709 .554 .062 Error 3632.000 32 113.500 Total 108353.000 40 Corrected Total 5431.975 39 a. R Squared = .331 (Adjusted R Squared = .185) Pairwise Comparisons Dependent Variable:TJP_perceptions of safety on campus score (I) TJP_students’ year in school (J) TJP_students’ year in school Mean Difference (I-J) Std. Error Sig.a 95% Confidence Interval for Differencea Lower Bound Upper Bound Freshmen Sophomore 10.500* 4.764 .035 .795 20.205 Junior -2.600 4.764 .589 -12.305 7.105 Senior -4.400 4.764 .363 -14.105 5.305 Sophomore Freshmen -10.500* 4.764 .035 -20.205 -.795 Junior -13.100* 4.764 .010 -22.805 -3.395 Senior -14.900* 4.764 .004 -24.605 -5.195 Junior Freshmen 2.600 4.764 .589 -7.105 12.305 Sophomore 13.100* 4.764 .010 3.395 22.805 Senior -1.800 4.764 .708 -11.505 7.905 Senior Freshmen 4.400 4.764 .363 -5.305 14.105 Sophomore 14.900* 4.764 .004 5.195 24.605 Junior 1.800 4.764 .708 -7.905 11.505 Based on estimated marginal means *. The mean difference is significant at the .05 level. a. Adjustment for multiple comparisons: Least Significant Difference (equivalent to no adjustments). Descriptive Statistics Dependent Variable:TJP_perceptions of safety on campus score TJP_students’ year in school TJP_students’ gender Mean Std. Deviation N Freshmen Male 57.00 11.225 5 Female 46.20 9.257 5 Total 51.60 11.247 10 Sophomore Male 45.20 15.090 5 Female 37.00 13.509 5 Total 41.10 14.177 10 Junior Male 53.60 11.082 5 Female 54.80 5.357 5 Total 54.20 8.230 10 Senior Male 56.60 8.503 5 Female 55.40 7.893 5 Total 56.00 7.760 10 Total Male 53.10 11.801 20 Female 48.35 11.609 20 Total 50.73 11.802 40 2 Write an APA-style Results section based on your analysis. Include your multiple line graph as an APA-style Figure, with figure number and title, as demonstrated in the Results Section presentation. (Results = 12 pts; Figure = 8 pts) Results The Effect of Gender and Year in School on Perceptions of Campus Safety From the two-way ANOVA tests of between-subjects effects’ table above, p = 0.554. This value is more than 0.05 significance level, suggesting no significant interaction exists between the impact of gender and students’ year in school on perceptions of campus safety. From the descriptive statistics table, males have higher perceptions of safety on campus than females w...