Applied Regression Analysis / Edition 3

by Norman R. Draper

Overview

A major goal of scientific exploration is the discovery of relationships among variables. Regression is the analysis or measure of the relationship between a dependent variable and one or more independent variables. This text covers a commonly used statistical tool in constructing mathematical models from experimental data.

Product Details

ISBN-13:	2900471170821
Publication date:	04/23/1998
Pages:	736
Product dimensions:	6.50(w) x 1.50(h) x 9.50(d)

About the Author

NORMAN R. DRAPER teaches in the Department of Statistics at the University of Wisconsin. HARRY SMITH is a former faculty member of the Mt. Sinai School of Medicine.

Table of Contents

Basic Prerequisite Knowledge.
Fitting a Straight Line by Least Squares.
Checking the Straight Line Fit.
Fitting Straight Lines: Special Topics.
Regression in Matrix Terms: Straight Line Case.
The General Regression Situation.
Extra Sums of Squares and Tests for Several Parameters Being Zero.
Serial Correlation in the Residuals and the Durbin--Watson Test.
More of Checking Fitted Models.
Multiple Regression: Special Topics.
Bias in Regression Estimates, and Expected Values of Mean Squares and Sums of Squares.
On Worthwhile Regressions, Big F's, and R2.
Models Containing Functions of the Predictors, Including Polynomial Models.
Transformation of the Response Variable.
"Dummy" Variables.
Selecting the "Best" Regression Equation.
Ill-Conditioning in Regression Data.
Ridge Regression.
Generalized Linear Models (GLIM).
Mixture Ingredients as Predictor Variables.
The Geometry of Least Squares.
More Geometry of Least Squares.
Orthogonal Polynomials and Summary Data.
Multiple Regression Applied to Analysis of Variance Problems.
An Introduction to Nonlinear Estimation.
Robust Regression.
Resampling Procedures (Bootstrapping).
Bibliography.
True/False Questions.
Answers to Exercises.
Tables.
Indexes.

Editorial Reviews

I would wholeheartedly recommend this book to any statistician. The third edition has many advantages over the second.

Statistical Methods in Medical Research

New edition of a text offering an accessilbe introduction to the fundamentals of regression analysis. Assuming only a basic knowledge of elementary statistics, it focuses on the fitting and checking of both linear and nonlinear regression models, using small and large data sets, with pocket calculators or computers. An included disk contains data files for the examples used in the chapters and for the exercises. Annotation c. by Book News, Inc., Portland, Or.

Booknews

"I would wholeheartedly recommend this book to any statistician. The third edition has many advantages over the second." (Statistical Methods in Medical Research, Vol. 9, 5)
"this is an excellently written book" (Statistics & Decisions, Vol. 19, No.3, 2001)

From the Publisher