Statistical Rethinking: A Bayesian Course with Examples in R and Stan


Richard McElreath - 2015
    Reflecting the need for even minor programming in today's model-based statistics, the book pushes readers to perform step-by-step calculations that are usually automated. This unique computational approach ensures that readers understand enough of the details to make reasonable choices and interpretations in their own modeling work.The text presents generalized linear multilevel models from a Bayesian perspective, relying on a simple logical interpretation of Bayesian probability and maximum entropy. It covers from the basics of regression to multilevel models. The author also discusses measurement error, missing data, and Gaussian process models for spatial and network autocorrelation.By using complete R code examples throughout, this book provides a practical foundation for performing statistical inference. Designed for both PhD students and seasoned professionals in the natural and social sciences, it prepares them for more advanced or specialized statistical modeling.Web ResourceThe book is accompanied by an R package (rethinking) that is available on the author's website and GitHub. The two core functions (map and map2stan) of this package allow a variety of statistical models to be constructed from standard model formulas.

CK-12 Trigonometry


CK-12 Foundation - 2010
    Topics include: Trigonometric Identities & Equations, Circular Functions, and Polar Equations & Complex Numbers.

Counting: How We Use Numbers to Decide What Matters


Deborah Stone - 2020
    With help from Dr. Seuss and Cookie Monster, she explains why numbers can’t be objective: in order to count, one must first decide what counts. Every number is the ending to a story built on cultural assumptions, social conventions, and personal judgments.And yet, in this age of big data and metric mania, numbers shape almost every facet of our lives: whether we get hired, fired, or promoted; whether we get into college or out of prison; how our opinions are gathered and portrayed to politicians; or how government designs health and safety regulations. In warm and playful prose, Counting explores what happens when we measure nebulous notions like merit, race, poverty, pain, or productivity.When so much rides on numbers, they can become instruments of social welfare, justice, and democracy—or not. The citizens of Flint, Michigan, for instance, used numbers to prove how their household water got contaminated and to force their government to take remedial action. In stark contrast, the Founding Fathers finessed an intractable conflict by counting each slave as three-fifths of a person in the national census. They set a terrible precedent for today’s politicians who claim to solve moral and political dilemmas with arithmetic.Suffused with moral reflection and ending with a powerful epilogue on COVID-19’s dizzying statistics, Counting will forever change our relationship with numbers.

Extra Innings: More Baseball Between the Numbers from the Team at Baseball Prospectus


Baseball Prospectus - 2012
    Sixteen years later, the Baseball Prospectus annual regularly hits best-seller lists and has become an indispensable guide for the serious fan. In Extra Innings, the team at Baseball Prospectus integrates statistics, interviews, and analysis to deliver twenty arguments about today’s game. In the tradition of their seminal book, Baseball Between the Numbers, they take on everything from steroids to the amateur draft. They probe the impact of managers on the game. They explain the critical art of building a bullpen. In an era when statistics matter more than ever, Extra Innings is an essential volume for every baseball fan.