**Pure and Applied Undergraduate Texts**

Volume: 13;
2011;
615 pp;

MSC: Primary 62;
Secondary 60

**Electronic ISBN: 978-1-4704-1126-8
Product Code: AMSTEXT/13.E**

List Price: $90.00

AMS Member Price: $72.00

MAA Member Price: $81.00

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#### Supplemental Materials

# Foundations and Applications of Statistics: An Introduction Using \(\mathsf{R}\)

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*Randall Pruim*

Now available in Second Edition: AMSTEXT/28

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.

#### Table of Contents

# Table of Contents

## Foundations and Applications of Statistics: An Introduction Using $\mathsf{R}$

- Cover Cover11 free
- Title page iii4 free
- Contents v6 free
- Preface ix10 free
- What is statistics? xv16 free
- Summarizing data 120 free
- Probability and random variables 2746
- Continuous distributions 113132
- Parameter estimation and testing 175194
- Likelihood-based statistics 251270
- Introduction to linear models 323342
- More linear models 399418
- A brief introduction to R 507526
- Some mathematical preliminaries 549568
- Geometry and linear algebra review 559578
- Review of Chapters 1–4 579598
- Hints, answers, and solutions to selected exercises 587606
- Bibliography 599618
- Index to R functions, packages, and data sets 605624
- Index 609628 free
- Back Cover Back Cover1640