set 1: Use the following data to answer questions 1-5 (30 points): A researcher is interested in whether there is a significant difference between the mean age of marriage across three racial groups. Based on the data below, answer these questions. Race N Mean Black 113 25.39 White 904 22.99 Other 144 23.87 All Groups 1,161 23.33 1. Calculate the value of the between group sum of squares (SSB, 10 pts). Race Black White Other Y bar for each group Total mean 25.39 22.99 23.87 Group mean - Total mean Square of the difference The number of cases Nk*Square of the difference 23.33 23.33 23.33 Sum up= 2. Calculate the degrees of freedom for the between group sum of squares. Then, use this quantity to calculate the mean square between (6 pts). 3. If the F statistic calculated for these data is 8.49, what is the value of the mean square within (4 pts)? 4. Following answer of #3, calculate the within group sum of squares and the number of degrees of freedom for the within group sum of squares (6 pts). 5. Imagine you are interested in whether there is a significant difference between the mean age of marriage across educational groups. If the critical value for an F statistic of 8.49 is 2.99, are these results statistically significant or not (4 pts)? 1 Problem set 2: Use the following data to answer questions 6-10 (30 points): We take another look at health based on the practice question on Page 408, this time examining the relationship between educational attainment and perceived quality of health care. Data for three groups are presented based on the HINTS2012 data set. Present the five-step model for these data, using alpha = .01. QUALITYCARE is measured on a five-point scale: 1excellenet, 2very good, 3good, 4fair, and 5poor. Note how a lower score indicates a higher quality of care. Less Than High School Some College College Graduate 1 2 1 4 3 1 2 2 1 2 2 2 3 4 1 3 2 2 6. Find the answers for the worksheet (10 pts). Less Than High School Some College College Graduate 1 2 1 4 3 1 2 2 1 2 2 2 3 4 1 3 2 2 Sum Y1= Sum Y2= Sum Y3= Mean Y1= Mean Y2= Mean Y3= Sum up square of Y1= Sum up square of Y2= Sum up square of Y3= K1= K2= K3= Total mean = N= 7. Calculate the degrees of freedom for SSB and SSW (6 pts). 8. Calculate Mean Square within and Mean Square between (6 pts). 9. What's the F statistic in this data (4 pts)? 10. Make decision if alpha was set up at .05, and please use Appendix E (Page to discuss your decision making (4 pts). 2 Problem set 3: Use the following data to answer questions 11-15 (20 points): Imagine you are interested in whether there is a significant difference between the mean age of marriage across educational groups. Use the data in the accompanying table to calculate question 11 to 15. Highest Degree N Mean Less than high school 195 22.47 High school 590 22.87 Junior college 86 23.71 Bachelor's degree 185 24.58 Graduate degree 104 25.10 All Groups 1,161 23.33 11. Answer the blanks in the worksheet (8 pts). Y bar for Total mean Group Square of Highest each group mean - the Degree Total mean Less than high school High school Junior college Bachelor's degree Graduate degree 22.47 23.33 23.71 23.33 24.58 23.33 25.10 Nk*Square of the difference 23.33 22.87 difference The number of cases 23.33 Sum up= 12. Calculate the value of the between group sum of squares (2 pts). 13. Calculate the degrees of freedom for the between group sum of squares. Then, use this quantity to calculate the mean square between (4 pts). 14. If the F statistic is 6.10, use the data below to determine the value of the mean square within (2 pts). 15. If the value of the mean square within for these data is 36.87, calculate the within group sum of squares and the number of degrees of freedom for the within group sum of squares (4 pts). 3 Problem set 4: Use the following data to answer questions 16-17 (20 points): We examine the relationship between educational attainment and agreement to the statement, \"Immigrants take jobs away from people who were born in America\" as measured in the GSS 2010. Responses to IMMJOBS are measured according to the same five-point scale (as FINDEPDN in practice question #4 on Page 409; see details in Figure 12.8 on page 410). 16. Set alpha at .05 and test the null hypothesis of equal means (15 pts). 17. I f alpha were set at .01, would your decision remain the same (5 pts)? 4