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Subset Selection in Regression

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Originally published in 1990, the first edition of Subset Selection in Regression filled a significant gap in the literature, and its critical and popular success has continued for more than a decade. Thoroughly revised to reflect progress in theory, methods, and computing power, the second edition promises to continue that tradition. The author has thoroughly updated each chapter, incorporated new material on recent developments, and included more examples and references.

New in the Second Edition:
A separate chapter on Bayesian methods

Complete revision of the chapter on estimation

A major example from the field of near infrared spectroscopy

More emphasis on cross-validation

Greater focus on bootstrapping

Stochastic algorithms for finding good subsets from large numbers of predictors when an exhaustive search is not feasible

Software available on the Internet for implementing many of the algorithms presented

More examples

Subset Selection in Regression, Second Edition remains dedicated to the techniques for fitting and choosing models that are linear in their parameters and to understanding and correcting the bias introduced by selecting a model that fits only slightly better than others. The presentation is clear, concise, and belongs on the shelf of anyone researching, using, or teaching subset selecting techniques.

256 pages, Paperback

First published April 15, 2002

About the author

Alan Miller

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115 reviews13 followers
September 17, 2017
Technical book on regression with lots of math, for those wanting to understand the nitty-gritty. The book is divided into eight chapters:

1. Objectives
2. Least-squartes computations
3. Finding subsets which fit well
4. Hypothesis testing
5. When to stop?
6. Estimation of regression coefficients
7. Bayesian methods
8. Conclusions and some recommendations

Chapter 8 is a particularly good summary. I would buy this book if it wasn't so expensive; I secured my copy via interlibrary loan through my public library.
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