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 form 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. ...