ESMA 3102 - Introduction to Statistics II

Resma3.RData (Ver 3.0)

All these pages are also available as pdfs here.

For a nice introduction to Statistics watch the PBS-NOVA episode Prediction by the Numbers

1 General Information

1.1. Syllabus

4 Is there a relationship?

Method Predictor Response
4.1. Categorical Data Analysis Categorical Categorical
4.2. ANOVA Categorical Quantitative
4.3. Correlation Quantitative Quantitative

4.4. Correlation vs Causation

4.5. Non-Normal Residuals, No Equal Variance - Transformation

4.6. Non-Normal Residuals, No Equal Variance - Non-Parametric

4.7. Exercises

5 If so, what is there a relationship?

Method Predictor Response
5.1. ANOVA - Multiple Comparison Categorical Quantitative
5.2. Simple Regression Quantitative Quantitative

5.3. Assumptions of SLR

5.4. Hypothesis Tests in SLR

5.5. Prediction

5.6. Non-Normal Residuals, No Equal Variance

5.7. Non-Linear Models: Transformations and Polynomials

5.8. Coefficient of Determination and Over-fitting

5.9. Exercises

6 More Than One Predictor

Method Predictors Response
6.1. Categorical Data - Simpson’s Paradox All Categorical Categorical
6.2. ANOVA All Categorical Quantitative
6.3. Mulitple Regression Quantitative Quantitative
6.4. Regression with Dummy Variables Quantitative/Categorical Quantitative

6.5. Exercises