An outstanding introduction to the fundamentals of regression analysis-updated and expanded The methods of regression analysis are the most widely used statistical tools for discovering the relationships among variables. This classic text, with its emphasis on clear, thorough presentation of concepts and applications, offers a complete, easily accessible introduction to the fundamentals of regression analysis. Assuming only a basic knowledge of elementary statistics, Applied Regression Analysis, Third Edition focuses on the fitting and checking of both linear and nonlinear regression models, using small and large data sets, with pocket calculators or computers. This Third Edition features separate chapters on multicollinearity, generalized linear models, mixture ingredients, geometry of regression, robust regression, and resampling procedures. Extensive support materials include sets of carefully designed exercises with full or partial solutions and a series of true/false questions with answers. All data sets used in both the text and the exercises can be found on the companion disk at the back of the book. For analysts, researchers, and students in university, industrial, and government courses on regression, this text is an excellent introduction to the subject and an efficient means of learning how to use a valuable analytical tool. It will also prove an invaluable reference resource for applied scientists and statisticians.
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 R¯2.
Models Containing Functions of the Predictors, Including Polynomial Models.
Transformation of the Response Variable.
Selecting the "Best" Regression Equation.
Ill-Conditioning in Regression Data.
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.
Resampling Procedures (Bootstrapping).
Answers to Exercises.