PSYC 355 SPSS HOMEWORK 8 INSTRUCTIONS NONPARAMETRIC TESTS Part One: Problem Set 1: The Mann-Whitney U test File: Open \"Module 8 Exercise File 1\" found in Blackboard Course content (Course Guides and Assignment Instructions Assignment InstructionsSPSS HomeworkSPSS Homework 8 Files). Research Scenario: A university assessment department collects data to determine whether university rankings differ based on their regional location. Some rankings are missing because the universities ranked at that level were in different regions than those of interest to the department. Based on eight universities in each of two different regions, is there a difference between university rankings based on their regional locations? Perform a Mann-Whitney U test to determine the answer. 1. Paste SPSS output. (3 pts) Ranks Region Ranking N Mean Rank Sum of Ranks East Coast 8 9.38 75.00 West Coast 8 7.63 61.00 Total 16 Test Statisticsa Ranking Mann-Whitney U 25.000 Wilcoxon W 61.000 Z Asymp. Sig. (2-tailed) Exact Sig. [2*(1-tailed Sig.)] -.735 .462 .505b a. Grouping Variable: Region b. Not corrected for ties. Page 1 of 8 PSYC 355 2. What is the mean rank for east coast universities? (3 pts) 9.38 3. Create a boxplot using the data. (3 pts) 4. Write a current APA-style Results section based on your analysis. All homework \"Results sections\" should follow the example given in the SPSS tutorials and the Course Content document \"Writing Results of Statistical Tests in APA Format.\" Remember to include a decision about the null hypothesis. (3 pts) A Mann-Whitney U analysis was performed in order to determine the rankings of Universities according to their region. The results show that the East coast Universities have a higher mean score than those of the West coast Universities. The p value is greater than .05 which means that there is not a significant different between the ranking of the Universities on the East and West coast. The null hypothesis is true which tells us that there is not a significant difference between the rankings. Page 2 of 8 PSYC 355 Problem Set 2: Spearman's Rho Data File: Open \"Module 8 Exercise File 2\" found in Blackboard Course content (Course Guides and Assignment InstructionsAssignment InstructionsSPSS Homework SPSS Homework 8 Files). Research Scenario: An educational administrator wants to examine the relationship between class rankings in math and chemistry for students in a 10th grade class consisting of 10 students. The ranks are provided in the exercise file. Perform a Spearman's rho analysis to determine whether rankings in math and chemistry are correlated in this sample. a) Paste SPSS output. (3 pts) Correlations Chem_Rank Spearman's rho Chem_Rank 1.000 .673* . .033 10 10 Correlation Coefficient * .673 1.000 Sig. (2-tailed) .033 . 10 10 Correlation Coefficient Sig. (2-tailed) N Math_Rank Math_Rank N *. Correlation is significant at the 0.05 level (2-tailed). b) Create a simple scatterplot to demonstrate the relationship in this data set. (3 pts) Page 3 of 8 PSYC 355 c) Write an APA-style Results section based on your analyses. All homework \"Results sections\" should follow the example given in the SPSS tutorials and the Course Content document \"Writing Results of Statistical Tests in APA Format\" (note: you do not have to refer to a figure). Remember to include a decision about the null hypothesis. (3 pts) A Spearman's rank-order was performed in order to determine the relationship between math and chemistry exams. The results show that there is a strong, positive correlation between both the math and the chemistry exam marks, which means it is statistically significant (r(10)=.673, p=.033). We reject the null hypothesis. Page 4 of 8 PSYC 355 Part Two: Problem Set 1: Spearman's rho Research Scenario: A consumer psychologist is asked to determine the relationship between Consumer Reports rankings of truck safety and consumer satisfaction for 15 different brands of trucks. The psychologist transformed satisfaction ratings to ranks in order to be able to compare two ranked variables. Some ranks are missing because the trucks at that rank were not included in the study. Is there a relationship between CR truck safety and consumer satisfaction rankings? Perform a Spearman's rho correlation analysis, being sure to label the variables as \"Ordinal\" in \"Variable View\" when you set up your file. Truck Safety Rankings Consumer Satisfaction Ratings (Ranked) 2 1 6 5 8 3 7 4 10 9 11 12 14 13 15 1 2 5 6 7 8 10 11 12 13 15 17 18 19 20 a. Paste SPSS output. (3 pts) b. Correlations Truck_Safety_ra Consumer_Satis nkings Spearman's rho Truck_Safety_rankings Correlation Coefficient Sig. (2-tailed) N faction_Ratings 1.000 .911** . .000 15 15 Page 5 of 8 PSYC 355 Consumer_Satisfaction_Rati Correlation Coefficient ngs Sig. (2-tailed) N .911** 1.000 .000 . 15 15 **. Correlation is significant at the 0.01 level (2-tailed). c. Create a scatterplot depicting the results. (3 pts) d. Write an APA-style Results section describing the outcome. All homework \"Results sections\" must follow the example given in the Course Content document \"Writing Results of Statistical Tests in Current APA Format.\" (3 pts) A Spearman's rank-order analysis was performed in order to determine the relationship between the truck safety rankings and the consumer safety rankings. The results show that there is a strong, positive correlation between both the truck safety rankings and the consumer safety rankings, which means that there is a statistically significant correlation (r(15)=.911, p=.000). We reject the null hypothesis. Page 6 of 8 PSYC 355 Page 7 of 8 PSYC 355 Part 3: Cumulative Homework Problem Set 1: Choose the correct method from tests learned in previous modules. Research Scenario: A social psychologist is studying how people consume news in her area. In particular, she is interested in news consumption among Americans with different political ideologies. She surveys 90 adults and asks about their political ideology (consistently conservative (n = 30), consistently liberal (n = 30), or mixed (n = 30)) and their main source of news. (For the purposes of this exercise, only two are included here: CNN and Fox News). The data are presented in the table below (note: data are based on research conducted by the Pew Research Center: http://www.journalism.org/2014/10/21/section-1-mediasources-distinct-favorites-emerge-on-the-left-and-right/). Are the proportions of news sources independent of political ideology? Choose the correct test to analyze this question, set up the SPSS file, and run the analysis. Follow the directions under the table below. Consistently Conservativ e Mixed Consistentl y Liberal CNN 5 18 23 Fox News 25 12 7 a. Paste appropriate SPSS output. (3 pts) b. Paste appropriate SPSS graph. (3 pts) c. Write an APA-style Results section based on your analyses. All homework \"Results sections\" should follow the example given in the SPSS tutorials and the Course Content document \"Writing Results of Statistical Tests in APA Format\" (note: you do not have to refer to a figure). Remember to include a decision about the null hypothesis. (3 pts) Submit this assignment by 11:59 p.m. (ET) on Friday of Module/Week 8. Page 8 of 8