Multiple Discriminant Analysis and Multiple Binary Logistic Regression Analysis The Data Set For this
Multiple Discriminant Analysis and Multiple Binary Logistic Regression Analysis
The Data Set
For this assignment, you will look at a real data file, condensed from a study that was conducted by a Graduate Diploma in Educational Psychology students. The study was designed to explore the factors that impact on respondents’ psychological adjustment and wellbeing. The survey contained a variety of validated scales measuring constructs that the extensive literature on stress and coping suggest influence people’s experience of stress. The scales measured self-esteem, optimism, perceptions of control, perceived stress, positive and negative affect, and life satisfaction. A scale was also included that measured people’s tendency to present themselves in a favorable or socially desirable manner. The survey was distributed to members of the general public in Melbourne, Australia and surrounding districts. The final sample size was 439, consisting of 42 per cent males and 58 per cent females.
Part 1: Multiple Discriminant Analysi s
Use the data set QOLm.sav to answer the following questions:
- Run the multiple discriminant analysis, using the categorized Total Optimism Scale (TOPTIMC) as the dependent variable, and Total Mastery, Total positive affect, Total life satisfaction, Total perceived stress, Total Self esteem, Age 3, Sex and Smoking as independent variables (predictors). Use the ‘Enter’ method.
- Check all assumptions.
- Discuss the implication of any violations of assumptions.
- State the null and alternative hypotheses.
- Write and discuss the discriminant functions. Which one should be used?
- How much variance was explained by each of the two discriminant functions?
- Discuss the overall model fit.
- Discuss the group membership prediction accuracy.
- Write up the results with appropriate tables.
Part 2: Multiple Binary Logistic Regression Analysis
- Run the multiple binary logistic regression analysis, using the categorized Total Optimism Scale (TOPTIMC2) as the dependent variable, and Total Mastery, Total positive affect, Total life satisfaction, Total perceived stress, Total Self esteem, Age 3, Sex and Smoking as the independent variables (predictors). Use the ‘Enter’ method.
- State the null and alternative hypotheses.
- How much variance did this model explain?
- Does the model adequately fit the data?
- How successfully is the dependent variable predicted?
- Which predictors successfully predicted the dependent variable?
- Describe the odds ratios for each of the significant predictors.
- Describe if the assumption of collinearity was met.
- What is the standard error of each significant predictor?
- Write up the results with appropriate tables.
Deliverable: Word Document
