Foundations and Applications of Statistics:
An Introduction using R

by Randall Pruim

[AMS Site for FASt] [The R Project] [fastR on CRAN]


Foundations and Applications of Statistics, published by the American Mathematical Society in 2011, simultaneously emphasizes both the foundational and the computational aspects of modern statistics. Engaging and accessible, this book is useful to undergraduate students with a wide range of backgrounds and career goals.

The exposition immediately begins with statistics, presenting concepts and results from probability along the way. Hypothesis testing is introduced very early, and the motivation for several probability distributions comes from p-value computations. The book develops the students' practical statistical reasoning through explicit examples and through numerical and graphical summaries of data that allow intuitive inferences before introducing the formal machinery. The topics have been selected to reflect the current practice in statistics, where computation is an indispensible tool. In this vein, the statistical computing environment R is used throughout the text and is integral to the exposition. Attention is paid to developing students' mathematical and computational skills as well as their statistical reasoning. Linear models, such as regression and ANOVA, are treated with explicit reference to the underlying linear algebra, which is motivated geometrically.

Foundations and Applications of Statistics discusses both the mathematical theory underlying statistics and practical applications that make it a powerful tool across disciplines. The book contains ample material for a two-semester course in undergraduate probability and statistics. A one-semester course based on the book will cover hypothesis testing and confidence intervals for the most common situations.

Table of Contents

Obtaining a Copy

You can buy the book from the AMS Bookstore, at your local university bookstore, or from online book sellers like Amazon.

Instructors can request an examination copy, by visiting the AMS Site for the book.

Supplemental Information

Errata List

An errata list will be available soon and updated as needed. Please contact me if you find errors not already on the errata list.

R Reference Materials

Tables A, B, and C

Tables A, B, and C (from the back end leaf pages) are available in PDF format.

Additional Content and Problems

Over time, I hope to add some additional online content and problems. This material will likely appear shortly after the end of each semester and over the summer. If you have a suggested topic or want to contribute some additional problems, feel free to contact me at rpruim at calvin dot edu.

Solutions to Exercises

Instructors, to obtain copies of solutions for the problems, please email rpruim at calvin dot edu and provide the URL to your department's faculty listing where your name occurs.

Last Modified: Wednesday, 28-Sep-2011 15:38:01 EDT