Foundations and Applications of Statistics: An Introduction Using (Pure and Applied Undergraduate Texts) (Pure and Applied Undergraduate Texts, 28) - Hardcover

Randall Pruim

Hardcover

ISBN 10: 1470428482 ISBN 13: 9781470428488

Publisher: American Mathematical Society, 2018

Synopsis

Foundations and Applications of Statistics 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. Pruim 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 $\mathsf{R}$ 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. In the second edition, the $\mathsf{R}$ code has been updated throughout to take advantage of new $\mathsf{R}$ packages and to illustrate better coding style. New sections have been added covering bootstrap methods, multinomial and multivariate normal distributions, the delta method, numerical methods for Bayesian inference, and nonlinear least squares. Also, the use of matrix algebra has been expanded, but remains optional, providing instructors with more options regarding the amount of linear algebra required.

About this title

About the Author

Randall Pruim, Calvin College, Grand Rapids, MI.

Review

This is an excellent text for the target audience, and at over 800 pages, as a bonus, students using it will increase their muscle mass by carrying it around, as well as their knowledge of statistics by working through it. --Peter Rabinovitch, MAA Reviews

It is recommended to undergraduate students with a wide-range of backgrounds and career goals. --Rózsa Horváth-Bokor, Zentralblatt MATH

Edition details

• Publisher: American Mathematical Society
• Publication date: 2018
• ISBN 10: 1470428482
• ISBN 13: 9781470428488
• Binding: Hardcover
• Language: English
• Edition number: 2
• Number of pages: 820