Modeling Prostate-Specific Antigen Levels in Cancer Patients
This scenario-based project was given to us as an assignment in my linear regression model class. A university medical center had data on several variables of interest relating to prostate cancer patients. The general assignment was to develop a model that uses the variables (or an appropriate subset thereof) in the data set provided to us in order to describe and predict the main variable of interest— prostate-specific antigen levels. There were needs for analysis in the following areas:
- Univariate analysis of the variables of interests in the data set.
- Thorough assessment of how well the multiple regression model fits the data and provide justifications for why a model is selected over another.
- Provide interval estimates for important model coefficients, and interpret them. Need a family confidence of 95%.
- Perform appropriate diagnostics such as residual analysis, assumptions validation, etc.