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Introduction to linear regression analysis / / Douglas C. Montgomery, Elizabeth A. Peck, G. Geoffrey Vining



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Autore: Montgomery Douglas C. Visualizza persona
Titolo: Introduction to linear regression analysis / / Douglas C. Montgomery, Elizabeth A. Peck, G. Geoffrey Vining Visualizza cluster
Pubblicazione: Hoboken, New Jersey : , : John Wiley & Sons Ltd, , 2012
©2012
Edizione: Fifth edition.
Descrizione fisica: 1 online resource
Disciplina: 519.5/36
Soggetto topico: Regression analysis
Soggetto genere / forma: Electronic books.
Persona (resp. second.): PeckElizabeth A.
ViningG. Geoffrey
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: Cover; Contents; Series; Title Page; Copyright; PREFACE; CHAPTER 1: INTRODUCTION; 1.1 REGRESSION AND MODEL BUILDING; 1.2 DATA COLLECTION; 1.3 USES OF REGRESSION; 1.4 ROLE OF THE COMPUTER; CHAPTER 2: SIMPLE LINEAR REGRESSION; 2.1 SIMPLE LINEAR REGRESSION MODEL; 2.2 LEAST - SQUARES ESTIMATION OF THE PARAMETERS; 2.3 HYPOTHESIS TESTING ON THE SLOPE AND INTERCEPT; 2.4 INTERVAL ESTIMATION IN SIMPLE LINEAR REGRESSION; 2.5 PREDICTION OF NEW OBSERVATIONS; 2.6 COEFFICIENT OF DETERMINATION; 2.7 A SERVICE INDUSTRY APPLICATION OF REGRESSION; 2.8 USING SAS® AND R FOR SIMPLE LINEAR REGRESSION
2.9 SOME CONSIDERATIONS IN THE USE OF REGRESSION2.10 REGRESSION THROUGH THE ORIGIN; 2.11 ESTIMATION BY MAXIMUM LIKELIHOOD; 2.12 CASE WHERE THE REGRESSOR X IS RANDOM; PROBLEMS; CHAPTER 3: MULTIPLE LINEAR REGRESSION; 3.1 MULTIPLE REGRESSION MODELS; 3.2 ESTIMATION OF THE MODEL PARAMETERS; 3.3 HYPOTHESIS TESTING IN MULTIPLE LINEAR REGRESSION; 3.4 CONFIDENCE INTERVALS IN MULTIPLE REGRESSION; 3.5 PREDICTION OF NEW OBSERVATIONS; 3.6 A MULTIPLE REGRESSION MODEL FOR THE PATIENT SATISFACTION DATA; 3.7 USING SAS AND R FOR BASIC MULTIPLE LINEAR REGRESSION; 3.8 HIDDEN EXTRAPOLATION IN MULTIPLE REGRESSION
3.9 STANDARDIZED REGRESSION COEFFLCIENTS3.10 MULTICOLLINEARITY; 3.11 WHY DO REGRESSION COEFFICIENTS HAVE THE WRONG SIGN?; PROBLEMS; CHAPTER 4: MODEL ADEQUACY CHECKING; 4.1 INTRODUCTION; 4.2 RESIDUAL ANALYSIS; 4.3 PRESS STATISTIC; 4.4 DETECTION AND TREATMENT OF OUTLIERS; 4.5 LACK OF FIT OF THE REGRESSION MODEL; PROBLEMS; CHAPTER 5: TRANSFORMATIONS AND WEIGHTING TO CORRECT MODEL INADEQUACIES; 5.1 INTRODUCTION; 5.2 VARIANCE - STABILIZING TRANSFORMATIONS; 5.3 TRANSFORMATIONS TO LINEARIZE THE MODEL; 5.4 ANALYTICAL METHODS FOR SELECTING A TRANSFORMATION; 5.5 GENERALIZED AND WEIGHTED LEAST SQUARES
5.6 REGRESSION MODELS WITH RANDOM EFFECTSPROBLEMS; CHAPTER 6: DIAGNOSTICS FOR LEVERAGE AND INFLUENCE; 6.1 IMPORTANCE OF DETECTING INFLUENTIAL OBSERVATIONS; 6.2 LEVERAGE; 6.3 MEASURES OF INFLUENCE: COOK'S D; 6.4 MEASURES OF INFLUENCE: DFFITS AND DFBETAS; 6.5 A MEASURE OF MODEL PERFORMANCE; 6.6 DETECTING GROUPS OF INFLUENTIAL OBSERVATIONS; 6.7 TREATMENT OF INFLUENTIAL OBSERVATIONS; PROBLEMS; CHAPTER 7: POLYNOMIAL REGRESSION MODELS; 7.1 INTRODUCTION; 7.2 POLYNOMIAL MODELS IN ONE VARIABLE; 7.3 NONPARAMETRIC REGRESSION; 7.4 POLYNOMIAL MODELS IN TWO OR MORE VARIABLES; 7.5 ORTHOGONAL POLYNOMIALS
PROBLEMSCHAPTER 8: INDICATOR VARIABLES; 8.1 GENERAL CONCEPT OF INDICATOR VARIABLES; 8.2 COMMENTS ON THE USE OF INDICATOR VARIABLES; 8.3 REGRESSION APPROACH TO ANALYSIS OF VARIANCE; PROBLEMS; CHAPTER 9: MULTICOLLINEARITY; 9.1 INTRODUCTION; 9.2 SOURCES OF MULTICOLLINEARITY; 9.3 EFFECTS OF MULTICOLLINEARITY; 9.4 MULTICOLLINEARITY DIAGNOSTICS; 9.5 METHODS FOR DEALING WITH MULTICOLLINEARITY; 9.6 USING SAS TO PERFORM RIDGE AND PRINCIPAL-COMPONENT REGRESSION; PROBLEMS; CHAPTER 10: VARIABLE SELECTION AND MODEL BUILDING; 10.1 INTRODUCTION; 10.2 COMPUTATIONAL TECHNIQUES FOR VARIABLE SELECTION
10.3 STRATEGY FOR VARIABLE SELECTION AND MODEL BUILDING
Sommario/riassunto: Praise for the Fourth Edition ""As with previous editions, the authors have produced a leading textbook on regression.""-Journal of the American Statistical Association A comprehensive and up-to-date introduction to the fundamentals of regression analysis Introduction to Linear Regression Analysis, Fifth Edition continues to present both the conventional and less common uses of linear regression in today's cutting-edge scientific research. The authors blend both theory and application to equip readers with an understanding of the ba
Titolo autorizzato: Introduction to linear regression analysis  Visualizza cluster
ISBN: 1-119-18017-1
1-118-62736-9
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910464198603321
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Serie: Wiley series in probability and statistics.