Books

Visualizing Linear Models (Springer, 2021) - This short textbook introduces the theory of linear models, emphasizing two important and complementary ways of visualizing the concepts: the observations picture and the variables picture. Accompanying flash cards help reinforce the material.

• all exercises: anki | printable document | printable cards
• red + blue only: anki | printable document | printable cards
• errata

Visualizing Random Variables - This will be a follow-up to Visualizing Linear Models that encourages the student to extend the two-pictures idea to random vectors more generally by understanding \(L^2\) spaces using intuition from Euclidean space.

Data Analysis with R: The Big Picture - A gentle and systematic introduction for complete beginners. (Unfinished.)

A Systematic Guide to Mathematical Statistics - This is a long-term project, but early drafts of some sections are posted below.

• 1-1 Topological spaces
• 1-4 Normed spaces
• 1-5 Inner product spaces
• 2-1 Measurable spaces
• 2-2 Measures
• 2-3 Integrals
• 2-4 Probability measures and expectations
• 2-5 Product spaces
• 2-6 Spaces of measurable functions
• 2-7 Metric spaces of measures
• 3-3 Information theory

© 2022 Quantitations LLC