I took AP Stat in HS and then College Stats in college unnecessarily. In HS it was TI-83 calculators, and in college it was excel with optional minitab. R was new then
I remember ANOVA being the pinnacle of AP Stat. There are newer ANOVA-like statistical procedures like CANOVA;
"Efficient test for nonlinear dependence of two continuous variables" (2015) https://pmc.ncbi.nlm.nih.gov/articles/PMC4539721/
Estimators:
Yellowbrick implements the scikit-learn Estimator API: https://www.scikit-yb.org/en/latest/
"Developing scikit-learn estimators" https://scikit-learn.org/stable/developers/develop.html#esti... :
> All estimators implement the fit method:
estimator.fit(X, y)
> Out of all the methods that an estimator implements, fit is usually the one you want to implement yourself. Other methods such as set_params, get_params, etc. are implemented in BaseEstimator, which you should inherit from. You might need to inherit from more mixins, which we will explain later.https://scikit-learn.org/stable/modules/generated/sklearn.pi...
Sklearn Glossary > estimator: https://scikit-learn.org/stable/glossary.html#term-estimator
https://news.ycombinator.com/item?id=41311052
https://news.ycombinator.com/item?id=28523442
What is GridSearchCV and what are ways to find optimal faster than brute force grid search?
IRL case studies with applied stats and ML and AI:
- "ML and LLM system design: 500 case studies to learn from" https://news.ycombinator.com/item?id=43629360
Additional stats resources:
- "Seeing Theory" Brown https://seeing-theory.brown.edu/
- "AP®/College Statistics" Khan Academy https://www.khanacademy.org/math/ap-statistics
- "Think Stats: 3rd Edition" notebooks https://github.com/AllenDowney/ThinkStats/tree/v3
And physics and information theory in relation to stats as a field with many applications:
- "Information Theory: A Tutorial Introduction" (2019) https://arxiv.org/abs/1802.05968 .. https://g.co/kgs/sPha7qR
- Entropy > Statistical mechanics: https://en.wikipedia.org/wiki/Entropy#Statistical_mechanics
- Statistical mechanics: https://en.wikipedia.org/wiki/Statistical_mechanics
- Quantum Statistical mechanics: https://en.wikipedia.org/wiki/Quantum_statistical_mechanics
Statistical procedures are inferential procedures.
There are inductive, deductive, and abductive methods of inference.
Statistical inference: https://en.wikipedia.org/wiki/Statistical_inference
Statistical literacy: https://en.wikipedia.org/wiki/Statistical_literacy
Also, the ROC curve Wikipedia sidebar: https://en.wikipedia.org/wiki/Receiver_operating_characteris...
What is the difference between accuracy, precision, specificity, and sensitivity?
Khan Academy has curriculum alignment codes on their OER content, but not yet Schema.org/about and or :educationalAlignment for their https://schema.org/LearningResource (s)