Applied Regression Analysis, Volume 1An 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. |
Contents
O Basic Prerequisite Knowledge | 1 |
Fitting a Straight Line by Least Squares | 15 |
Checking the Straight Line | 47 |
Special Topics | 79 |
Straight Line Case | 115 |
Extra Sums of Squares and Tests for Several Parameters | 149 |
Serial Correlation in the Residuals and the DurbinWatson Test | 179 |
More on Checking Fitted Models | 205 |
Mixture Ingredients as Predictor Variables | 409 |
Appendix 19A Transforming k Mixture Variables to k 1 Working | 422 |
More Geometry of Least Squares | 447 |
Orthogonal Polynomials and Summary Data | 461 |
Multiple Regression Applied to Analysis of Variance Problems | 473 |
243 | 476 |
An Introduction to Nonlinear Estimation | 505 |
Robust Regression | 567 |
Special Topics | 217 |
Bias in Regression Estimates and Expected Values of Mean | 235 |
On Worthwhile Regressions Big Fs and | 243 |
Models Containing Functions of the Predictors Including | 251 |
Transformation of the Response Variable | 277 |
Dummy Variables | 299 |
Selecting the Best Regression Equation | 327 |
IllConditioning in Regression Data | 369 |
277 | 380 |
Ridge Regression | 387 |
Generalized Linear Models GLIM | 401 |
461 | 574 |
Resampling Procedures Bootstrapping | 585 |
Additional Comments | 591 |
TrueFalse Questions | 605 |
299 | 645 |
327 | 684 |
473 | 686 |
Index of Authors Associated with Exercises | 695 |
369 | 698 |
Copyright | |