Statistical Procedures

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Topics

• estimating population parameters using random samples
• null hypothesis significance testing (NHST)
• Maximum Likelihood Estimation (MLE)

Notes

• Statistics I: Parametric Statistical Tests
• Statistics II: Resampling, Bootstrapping, & Cross-Validation
• Statistics III: Maximum likelihood estimation (MLE)

Notebooks

• stats_demo1.ipynb (right-click to download)
• stats_demo2.ipynb (right-click to download)

Additional Resources

• the Tutorials listed here are good, in particular “Review of Basic Statistics”: https://designingexperiments.com/supplements/
• Designing Experiments and Analyzing Data: A Model Comparison Perspective] by Maxwell, Delaney, and Kelley
• chapter 1 Using p-values to test a hypothesis from the book Improving Your Statistical Inferences by Daniel Lakens
• Answering questions with data book by Matthew Crump, Danielle Navarro, and Jeffrey Suzuki
• Learning Statistics with R by Danielle Navarro (and an adaptation for Python: Learning Statistics with Python)
• Dance of the p-values (YouTube) by Geoff Cumming
• Improving Your Statistical Inferences by Daniel Lakens

Bayesian Approaches

• Introduction to Applied Bayesian Statistics and Estimation for Social Scientists by Scott Lynch (2007)
• Doing Bayesian Data Analysis by John Kruschke (2015)
• Frequentism and Baysianism: A Practical Introduction by Jake VanderPlas