Introduction to Statistical Modelling qualitative attributes – Assignment

Assignment Task 

Background Brief 

The data set is collected from an experiment using mice in a biological lab environment. The aim of the experiment is to assess the effect of medication in recovering the ability to learn in mice with chromosome abnormality.

In this assignment, we boil the question down to predicting the expression level of a certain protein, which produces detectable signals in the brain cortex of mice. Predictors include expression levels of several other proteins and some qualitative attributes.

Variable description 

1. Response Variable

Y: Expression level of the protein named pCASP9.

2. Quantitative Predictors

3. Qualitative Predictors

Instruction 

1. Explore Data

Perform exploratory analysis on the variables using the whole data set.

Describe the data and comment on your observations/findings.

2. Fit Model

Split the data set into training set and testing set in a (approximate) ratio 75:25.

Set random state/seed using the last 4 digits of your SP admission number.

Fit the full additive MLR model on the training set.

3. Evaluate Model

Conduct relevant diagnostics on the full MLR model fitted.

Evaluate the model from the perspectives of model fit, prediction accuracy, model/predictor significance, and checking of assumptions.

4. Improve Mode

Improve the model using at least 4 of the following techniques where appropriate:

• Removing outlier(s) (if any)
• Centering and/or standardizing variables
• Principal component analysis (PCA)
• Transformation of variables
• Interaction of variables
• Variable selection

Explain how the model is improved after applying each of the techniques.

5. Present Results

Present and explain your works for the above, including relevant graphs, figures, and/or tables which may support your analysis, in a report of no more than 12 pages.

The report is expected to be detailed but not redundant. Fantastic layout design is not necessary, but the report shall be clear and easy to read.

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