Week 5 ANOVA Exercises Research Question: Is there a difference in the overall satisfaction of women based on the number of housing problems (no problems, 1 problem, 2 or more problems)? Using Polit2SetA data set, run an ANOVA using Overall Satisfaction, Material WellBeing (satovrl) as the dependent variable and Housing Problems (hprobgrp) (this is the last variable in the data set) as the independent variable. Follow these steps when using SPSS: 1. Open Polit2SetA data set. 2. Click on Analyze, then click on Compare Means, then One-way ANOVA. 3. Move the Dependent Variable (Overall Satisfaction \"satovrl\") in the box labeled \"Dependent List\" by clicking the arrow button. The dependent variable is a continuous variable. 4. Move the Independent Variable (Housing Problems \"hprobgrp\") into the box labeled \"Factor.\" The hprobgrp is a categorical variable coded as (1= no hoursing problem, 2=one housing problem, 3=two or more housing problems). 5. Click on the Options button (right side of box) and click on Descriptives and Homogeneity of Variance and then click on Continue. 6. Click on Post Hoc (right side of box). Click on Tukey and then click on Continue. 7. Click on OK. Oneway [DataSet1] /Users/arnoldresto/Downloads/Polit2SetA (12).sav Descriptives Overall satisfaction, material well-being N No Housing Problem One Housing Problem Two or More Housing Problems Total Std. Mean Deviation Std. Error 95% Confidence Interval for Mean Lower Upper Bound Bound Minimum Maximum 367 12.71 2.353 .123 12.47 12.95 4 16 264 11.97 2.588 .159 11.66 12.28 4 16 304 10.57 2.594 .149 10.28 10.86 4 16 935 11.80 2.658 .087 11.63 11.97 4 16 Test of Homogeneity of Variances Overall satisfaction, material well-being Levene Statistic df1 df2 Sig. 2.109 2 932 .122 Post Hoc Tests Multiple Comparisons Dependent Variable: Overall satisfaction, material well-being Tukey HSD (I) Housing Problems No Housing Problem Mean Difference (I-J) (J) Housing Problems Std. Error One Housing .739* .202 Problem Two or More Housing 2.139* .194 Problems One Housing No Housing -.739* .202 Problem Problem Two or More Housing 1.401* .210 Problems Two or More No Housing -2.139* .194 Housing Problem Problems One Housing -1.401* .210 Problem *. The mean difference is significant at the 0.05 level. Homogeneous Subsets Sig. 95% Confidence Interval Lower Upper Bound Bound .001 .27 1.21 .000 1.68 2.59 .001 -1.21 -.27 .000 .91 1.89 .000 -2.59 -1.68 .000 -1.89 -.91 Overall satisfaction, material well-being Tukey HSDa,b Subset for alpha = 0.05 Housing Problems N 1 2 3 Two or More Housing 304 10.57 Problems One Housing 264 11.97 Problem No Housing 367 12.71 Problem Sig. 1.000 1.000 1.000 Means for groups in homogeneous subsets are displayed. a. Uses Harmonic Mean Sample Size = 306.055. b. The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed. Assignment: Through analysis of the data and use of the questions below, write one to two paragraphs summarizing your findings from this ANOVA. 1. What is the total sample size? Answer: 935 2. How many women were in each of the different hprobgrp groups? 3. What are the mean (SD) overall satisfaction scores for each group? 4. Interpret the Levene's statistic. (Hint: Is the assumption of homogeneity of variance met? Are equal variances assumed or not assumed?) 5. What is the value of the F statistic, number of degrees of freedom, and the p value? 6. Is there a significant difference in the overall satisfaction level of women in each of the hprobgrp groups? 7. Interpret the post hoc test. When interpreting the post hoc test indicate the mean and standard deviation for each group and indicate which group was signifantly higher or lower from the other. If there is no difference between two groups, indicate that as well. Week 5 ANOVA Exercises Research Question: Is there a difference in the overall satisfaction of women based on the number of housing problems (no problems, 1 problem, 2 or more problems)? Using Polit2SetA data set, run an ANOVA using Overall Satisfaction, Material WellBeing (satovrl) as the dependent variable and Housing Problems (hprobgrp) (this is the last variable in the data set) as the independent variable. Follow these steps when using SPSS: 1. Open Polit2SetA data set. 2. Click on Analyze, then click on Compare Means, then One-way ANOVA. 3. Move the Dependent Variable (Overall Satisfaction \"satovrl\") in the box labeled \"Dependent List\" by clicking the arrow button. The dependent variable is a continuous variable. 4. Move the Independent Variable (Housing Problems \"hprobgrp\") into the box labeled \"Factor.\" The hprobgrp is a categorical variable coded as (1= no hoursing problem, 2=one housing problem, 3=two or more housing problems). 5. Click on the Options button (right side of box) and click on Descriptives and Homogeneity of Variance and then click on Continue. 6. Click on Post Hoc (right side of box). Click on Tukey and then click on Continue. 7. Click on OK. Oneway Test of Homogeneity of Variances Overall satisfaction, material well-being Levene Statistic df1 df2 Sig. 2.109 2 932 .122 Post Hoc Tests Multiple Comparisons Dependent Variable: Overall satisfaction, material well-being Tukey HSD (I) Housing Problems No Housing Problem Mean Difference (I- Std. J) Error Sig. (J) Housing Problems One Housing .739* .202 Problem Two or More Housing 2.139* .194 Problems One Housing No Housing -.739* .202 Problem Problem Two or More Housing 1.401* .210 Problems Two or More No Housing -2.139* .194 Housing Problem Problems One Housing -1.401* .210 Problem *. The mean difference is significant at the 0.05 level. Homogeneous Subsets Overall satisfaction, material well-being Tukey HSDa,b Subset for alpha = 0.05 Housing Problems N 1 2 3 Two or More Housing 304 10.57 Problems One Housing 264 11.97 Problem No Housing 367 12.71 Problem Sig. 1.000 1.000 1.000 95% Confidence Interval Lower Upper Bound Bound .001 .27 1.21 .000 1.68 2.59 .001 -1.21 -.27 .000 .91 1.89 .000 -2.59 -1.68 .000 -1.89 -.91 Week 5 ANOVA Exercises Research Question: Is there a difference in the overall satisfaction of women based on the number of housing problems (no problems, 1 problem, 2 or more problems)? Using Polit2SetA data set, run an ANOVA using Overall Satisfaction, Material WellBeing (satovrl) as the dependent variable and Housing Problems (hprobgrp) (this is the last variable in the data set) as the independent variable. Follow these steps when using SPSS: 1. Open Polit2SetA data set. 2. Click on Analyze, then click on Compare Means, then One-way ANOVA. 3. Move the Dependent Variable (Overall Satisfaction \"satovrl\") in the box labeled \"Dependent List\" by clicking the arrow button. The dependent variable is a continuous variable. 4. Move the Independent Variable (Housing Problems \"hprobgrp\") into the box labeled \"Factor.\" The hprobgrp is a categorical variable coded as (1= no hoursing problem, 2=one housing problem, 3=two or more housing problems). 5. Click on the Options button (right side of box) and click on Descriptives and Homogeneity of Variance and then click on Continue. 6. Click on Post Hoc (right side of box). Click on Tukey and then click on Continue. 7. Click on OK. Oneway Test of Homogeneity of Variances Overall satisfaction, material well-being Levene Statistic df1 df2 Sig. 2.109 2 932 .122 Post Hoc Tests Multiple Comparisons Dependent Variable: Overall satisfaction, material well-being Tukey HSD (I) Housing Problems No Housing Problem Mean Difference (I- Std. J) Error Sig. (J) Housing Problems One Housing .739* .202 Problem Two or More Housing 2.139* .194 Problems One Housing No Housing -.739* .202 Problem Problem Two or More Housing 1.401* .210 Problems Two or More No Housing -2.139* .194 Housing Problem Problems One Housing -1.401* .210 Problem *. The mean difference is significant at the 0.05 level. Homogeneous Subsets Overall satisfaction, material well-being Tukey HSDa,b Subset for alpha = 0.05 Housing Problems N 1 2 3 Two or More Housing 304 10.57 Problems One Housing 264 11.97 Problem No Housing 367 12.71 Problem Sig. 1.000 1.000 1.000 95% Confidence Interval Lower Upper Bound Bound .001 .27 1.21 .000 1.68 2.59 .001 -1.21 -.27 .000 .91 1.89 .000 -2.59 -1.68 .000 -1.89 -.91