Statistical Modeling Examples

All we need is just

Case Studies

• Diabetes dataset: Dataset info, Markdown.

Examples

PyStan examples includes these methods:

• Linear Regression Model, Script.
• Multiple Linear Regression Model, Script.
• Robust Regression Model, Script.
• Logistic Regression Model, Script.
• Multinomial Logistic Regression Model, Script.
• Ordered Logistic Regression Model, Script.
• One-way ANOVA Model, Script.
• Two-way ANOVA Model, Script.

• Factor analysis Markdown.
• Correlation analysis Markdown.
• Multiple Linear Regression with interaction terms Markdown.
• Poisson Regression Markdown.
• Bayes Factors Markdown.

Useful Resources

General

• Glossary of statistical terms Link.
• Statistical tests with Python Link.
• Michael Betancourt: “A Conceptual Introduction to Hamiltonian Monte Carlo”, 2017; arXiv:1701.02434.
• Hamiltonian Monte Carlo explained, Link.

Stan

• Stan Reference Manual Link.
• PyStan Getting Started Link.
• Stan example models Link.
• Prior choices Link.

R

• R-bloggers Link.
• Quick-R Link.

Datasets

• R datasets Link.
• Datasets for teaching Link.

Books

• Korner-Nievergelt, F., Korner-Nievergelt, P., Roth, T., Almasi, B., Felten, S. V., & Guélat, J. (2016). Bayesian data analysis in ecology using linear models with R, BUGS and Stan. Amsterdam: Elsevier/Academic Press.