Logistic Regression Analysis To develop your project memo do the following: Create an introductory "scenario"
Logistic Regression Analysis
To develop your project memo do the following:
Create an introductory "scenario" of just two to three sentences that describes the data file for your project and why you (the ?????? Corporation/Group) are performing a logistic regression analysis that will enable you to predict the probability of "success" based on the set of possible independent variables \[{{X}_{1}},{{X}_{2,}}...,{{X}_{k}}\]
- As you learned in class in Week 7, first develop the logistic regression equation for the natural log of the estimated odds ratio using all numerical predictor variables.
- Assess collinearity and remove predictors, one at a time, based on highest VIF greater than 5.
- Assess overall significance of the logistical regression model.
- Assess significance of contribution of individual predictor variables by removing remaining predictors, one at a time, based on highest P-value above 0.05 or by using the stepwise regression approach.
- Paste into the appendix of your memo the Minitab printout for your "final" refitted logistic regression model.
- Developing the memo:
- In the body of the memo write the sample logistic regression equation.
- In the body of the memo interpret the meaning of the intercept and slopes for your fitted model.
- In the body of the memo interpret the meaning of the Deviance statistic, the Pearson statistic, and the Hosmer-Lemeshow statistic, and then determine if the model is a good fit.
- In the body of the memo comment on the overall statistical significance of your fitted model.
- In the body of the memo interpret the meaning of each Wald Statistic Z for the various predictor variables in your fitted model. Comment on the statistical significance of each predictor variable in your fitted model.
- In the body of the memo select a value for each of your independent variables in their relevant range:
- Predict the natural log of the estimated odds ratio.
- Obtain the estimated odds ratio of "event of interest" to "event not of interest."
- Obtain the estimated probability of the "event of interest."
Writing the Team Memo
Each team memo begins with a centered heading with the word "MEMO" followed by left margin headings of
Date:
To:
From:
Subject:
Memos are formal and the wording and language are often terse. The Memo starts with an Introduction section describing the study "scenario" and mentioning the possible predictor variables and the dependent variable. A section titled The Study follows. This section includes the "final" refitted logistic regression model analysis with discussion of goodness-of-fit, overall model significance, and the various Wald statistics (Z). The next section is titled Interpreting the Predictions from the Logistic Regression Equation. The final section of the Memo is a very short Discussion section highlighting the key points of the study findings. All Minitab printouts should be "cut and pasted" into the Appendix of the Memo and referred to in the narrative of the aforementioned Memo sections.
Deliverable: Word Document
