Statistics and data analysis : from elementary to intermediate

This book provides a one-year calculus-based coverage of statistics and data analysis
that spans from the very beginnings of the subject to intermediate level topics in mathematical statistics. We wrote this book with two main goals in mind. The first goal is to
introduce the basic concepts and commonly used methods of statistics in a unified manner with sound explanations of when and how to use the methods and why they work
(including mathematical derivations given in separate sections marked with asterisks).
The second goal is to demonstrate diverse applications of the methods to a wide range
of disciplines.
The book is primarily intended for junior and senior level undergraduates. Some of
the more advanced topics in the book, especially the final chapter on the likelihood,
Bayesian, and decision theory methods, can f onn a one-semester survey course for
graduate students with good mathematical backgrounds. We have used the preliminary
drafts of the book for both such undergraduate and graduate courses at Northwestern
University.