CA 2 - Worksheet Revised beth

CA # 2 Summer 2023 ANOVA and Correlation and Regression The emotion, frustration, is most often associated with the public display of aggression. Moreover, frustration and disappointment are often experienced when applying for acceptance to Colleges and Universities. The Socioeconomic Disadvantage (S.E.D) scale, developed at the University of California, Davis, School of Medicine, was designed to evaluate applicants based on their life circumstances, including family income and parents’ education. The aim of this scale is to increase the levels of diversity at institutions such as UC Davis’s School of Medicine. The scale is used in the Admissions process. During, and after, the admission process, in addition to dealing with feelings of Frustration/Aggression, applicants also experience feelings of Personal Relative Deprivation (P.R.D), which is conceptualized as being prevented from achieving a goal. The following fictional data, presented below, should be used to answer the following questions. 1.What role did Feedback (0 = Rejection; 1 = Acceptance; 3 = Pending) play in feelings of Frustration/Aggression during the admission process? Use a One-Way ANOVA to analyze the data. Include ANOVA Summary Table in your submission. Descriptive Statistics Descriptive Statistics Aggression   0 1 2 Valid 12 13 11 Missing 0 0 0 Mean 38.667 34.769 36.000 Std. Deviation 5.852 11.330 8.258 Minimum 29.000 13.000 20.000 Maximum 46.000 48.000 45.000 ANOVA ANOVA - Aggression Cases Sum of Squares df Mean Square F p Feedback 97.915 2 48.957 0.622 0.543 Residuals 2598.974 33 78.757   1

ANOVA - Aggression Cases Sum of Squares df Mean Square F p Note.  Type III Sum of Squares According to the results, there was no statistically significant relationship between aggressive feedback. Hence, emotions of Aggression throughout the Admissions Process are Not Significantly Influenced by Feedback. 2. What happens when your parents’ highest level of education (1= H.S.; 2 = College; 3 = Graduate) is as an additional factor in your Frustration/Aggression at the admission process? There were no statistically significant differences between the main effects of education and aggressive behavior. Furthermore, there was no statistically significant association between education and aggressive behavior. As a result, the highest level of education attained by parents has little bearing on Frustration/Aggression throughout the Admissions Process. 3.Use a Two-Way ANOVA to analyze the data. Include ANOVA Summary Table in your submission. a. How are S.E.D, Personal Perception of Deprivation, Family Income, and Aggression (inter)related to/with the Admission Process? Correlation Pearson's Correlations Variable   S. E. D Per.Rel. Dep. Incom e Aggression 1. S. E. D Pearson's r — p-value —       2. Per. Rel. Dep. Pearson's r -0.174 — p-value 0.309 —     3. Income Pearson's r -0.548 0.383 — p-value < .001 0.021 —   4. Aggression Pearson's r -0.030 0.109 0.045 — p-value 0.861 0.526 0.795 — S.E.D, Personal Perception of Deprivation, Family Income, and Aggression (inter)related to/with the Admission Process 2

Coefficients Mode l   UnstandardizedStandard Error Standardize d t p H ₀ (Intercept) 55.889 3.997 13.983 < .001 H ₁ (Intercept) 94.263 10.606 8.888 < .001   Income -0.382 0.100 -0.548 -3.819 < .001 Linear Regression Model Summary - Per. Rel. Dep. Model R R² Adjusted R² RMSE H ₀ 0.000 0.000 0.000 7.983 H ₁ 0.383 0.147 0.122 7.481   ANOVA Model   Sum of Squares df Mean Square F p H ₁ Regression 327.406 1 327.406 5.850 0.021   Residual 1902.817 34 55.965     Total 2230.222 35   Note.  The intercept model is omitted, as no meaningful information can be shown.   Coefficients Mode l   Unstandardized Standard Error Standardized t p H ₀ (Intercept) 36.778 1.330 27.64 4 < .001 H ₁ (Intercept) 27.845 3.898 7.144 < .001   Income 0.089 0.037 0.383 2.419 0.021 c. Is Income a significant predictor of S.E.D, or P.R.D? Which of the two does Income better predict? Regression analysis revealed that none of the independent variables (S.E.D, personal deprivation, household income) were significant predictors of aggression . ID # Incom e Ed. level Aggressio n Per. Rel. Dep. Feedbac k S. E. D 1 58 3 29 25 0 56 2 134 1 38 39 2 43 3 90 1 45 50 1 73 4 54 2 33 45 2 80 4

5 132 1 42 37 1 88 6 92 2 39 27 2 98 7 141 1 46 47 0 45 8 95 3 42 40 0 52 9 90 3 45 34 0 56 10 90 3 30 30 0 75 11 145 1 35 41 0 34 12 56 1 19 45 1 89 13 84 2 37 28 1 67 14 92 1 46 39 1 53 15 80 1 43 43 2 45 16 98 2 48 28 1 78 17 93 2 45 31 2 34 18 200 2 20 33 2 21 19 81 2 40 34 0 50 20 62 3 13 37 1 98 21 79 3 44 29 2 57 22 131 1 41 55 1 20 23 118 3 43 31 0 35 24 114 1 42 44 0 46 25 94 3 22 32 1 30 26 101 1 45 53 1 67 27 95 2 43 29 0 55 28 151 1 34 44 1 80 29 85 2 45 37 2 67 30 84 3 29 29 2 45 31 72 2 31 26 1 67 32 173 3 33 48 0 12 33 56 2 36 32 0 95 34 80 2 28 33 2 64 35 150 1 29 58 1 12 36 71 3 32 27 2 25 SUMMARY What are your overall conclusions on the process? Use APA to report significant findings ANOVAs, (include Post hoc results; if appropriate), Correlations and Regressions . Feelings of aggression were not significantly affected by feedback given during the admissions process. The Highest educational attainment of parents has little bearing on aggression/frustration during the admissions process. S.E.D., personal deprivation, family income, and aggression do not significantly correlate with one another. Both S.E.D. and P.R.D. are significantly predicted by income, with a greater impact on S.E.D. 5