Linear.Models.with.R(Texts.in.Statistical.Science).pdf

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Book Cover

Title

Contents

Preface

Chapter 1 Introduction

Chapter 2 Estimation

Chapter 3 Inference

Chapter 4 Diagnostics

Chapter 5 Problems with the Predictors

Chapter 6 Problems with the Error

Chapter 7 Transformation

Chapter 8 Variable Selection

Chapter 9 Shrinkage Methods

Chapter 10 Statistical Strategy and Model Uncertainty

Chapter 11 Insurance Redlining—A Complete Example

Chapter 12 Missing Data

Chapter 13 Analysis of Covariance

Chapter 14 One-Way Analysis of Variance

Chapter 15 Factorial Designs

Chapter 16 Block Designs

Appendix A: R Installation, Functions and Data

Appendix B: Quick Introduction to R

Bibliography

Index

CHAPMAN & HALL/CRC Texts in Statistical Science Series Series Editors Chris Chatfield, University of Bath, UK Martin Tanner, Northwestern University, USA Jim Zidek, University of British Columbia, Canada Analysis of Failure and Survival Data Peter J.Smith The Analysis and Interpretation of Multivariate Data for Social Scientists David J.Bartholomew, Fiona Steele, Irini Moustaki, and Jane Galbraith The Analysis of Time Series—An Introduction, Sixth Edition Chris Chatfield Applied Bayesian Forecasting and Time Series Analysis A.Pole, M.West and J.Harrison Applied Nonparametric Statistical Methods, Third Edition P.Sprent and N.C.Smeeton Applied Statistics—Handbook of GENSTAT Analysis E.J.Snell and H.Simpson Applied Statistics—Principles and Examples D.R.Cox and E.J.Snell Bayes and Empirical Bayes Methods for Data Analysis, Second Edition Bradley P.Carlin and Thomas A.Louis Bayesian Data Analysis, Second Edition Andrew Gelman, John B.Carlin, Hal S.Stern, and Donald B.Rubin Beyond ANOVA—Basics of Applied Statistics R.G.Miller, Jr. Computer-Aided Multivariate Analysis, Third Edition A.A.Afifi and V.A.Clark

A Course in Categorical Data Analysis T.Leonard A Course in Large Sample Theory T.S.Ferguson Data Driven Statistical Methods P.Sprent Decision Analysis—A Bayesian Approach J.Q.Smith Elementary Applications of Probability Theory, Second Edition H.C.Tuckwell Elements of Simulation B.J.T.Morgan Epidemiology—Study Design and Data Analysis M.Woodward Essential Statistics, Fourth Edition D.A.G.Rees A First Course in Linear Model Theory Nalini Ravishanker and Dipak K.Dey Interpreting Data—A First Course in Statistics A.J.B.Anderson An Introduction to Generalized Linear Models, Second Edition A.J.Dobson Introduction to Multivariate Analysis C.Chatfield and A.J.Collins Introduction to Optimization Methods and their Applications in Statistics B.S.Everitt Large Sample Methods in Statistics P.K.Sen and J.da Motta Singer Markov Chain Monte Carlo—Stochastic Simulation for Bayesian Inference D.Gamerman Mathematical Statistics K.Knight

Modeling and Analysis of Stochastic Systems V.Kulkarni Modelling Binary Data, Second Edition D.Collett Modelling Survival Data in Medical Research, Second Edition D.Collett Multivariate Analysis of Variance andRepeated Measures—A Practical Approach for Behavioural Scientists D.J.Hand and C.C.Taylor Multivariate Statistics—A Practical Approach B.Flury and H.Riedwyl Practical Data Analysis for Designed Experiments B.S.Yandell Practical Longitudinal Data Analysis D.J.Hand and M.Crowder Practical Statistics for Medical Research D.G.Altman Probability—Methods and Measurement A.O’Hagan Problem Solving—A Statistician’s Guide, Second Edition C.Chatfield Randomization, Bootstrap and Monte Carlo Methods in Biology, Second Edition B.F.J.Manly Readings in Decision Analysis S.French Sampling Methodologies with Applications Poduri S.R.S.Rao Statistical Analysis of Reliability Data M.J.Crowder, A.C.Kimber, T.J.Sweeting, and R.L.Smith Statistical Methods for SPC and TQM D.Bissell

Statistical Methods in Agriculture and Experimental Biology, Second Edition R.Mead, R.N.Curnow, and A.M.Hasted Statistical Process Control—Theory and Practice, Third Edition G.B.Wetherill and D.W.Brown Statistical Theory, Fourth Edition B.W.Lindgren Statistics for Accountants S.Letchford Statistics for Epidemiology Nicholas P.Jewell Statistics for Technology—A Course in Applied Statistics, Third Edition C.Chatfield Statistics in Engineering—A Practical Approach A.V.Metcalfe Statistics in Research and Development, Second Edition R.Caulcutt Survival Analysis Using S—Analysis of Time-to-Event Data Mara Tableman and Jong Sung Kim The Theory of Linear Models B.Jørgensen Linear Models with R Julian J.Faraway

Texts in Statistical Science Linear Models with R Julian J.Faraway CHAPMAN & HALL/CRC A CRC Press Company Boca Raton London NewYork Washington, D.C.

This edition published in the Taylor & Francis e-Library, 2009. To purchase your own copy of this or any of Taylor & Francis or Routledge’s collection of thousands of eBooks please go to www.eBookstore.tandf.co.uk. Library of Congress Cataloging-in-Publication Data Faraway, Julian James. Linear models with R/Julian J.Faraway. p. cm.—(Chapman & Hall/CRC texts in statistical science series; v. 63) Includes bibliographical references and index. ISBN 1-58488-425-8 (alk. paper) 1. Analysis of variance. 2. Regression analysis. I. Title. II. Texts in statistical science; v. 63. QA279.F37 2004 519.5'38–dc22 2004051916 This book contains information obtained from authentic and highly regarded sources. Reprinted material is quoted with permission, and sources are indicated. A wide variety of references are listed. Reasonable efforts have been made to publish reliable data and information, but the author and the publisher cannot assume responsibility for the validity of all materials or for the consequences of their use. Neither this book nor any part may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, microfilming, and recording, or by any information storage or retrieval system, without prior permission in writing from the publisher. The consent of CRC Press LLC does not extend to copying for general distribution, for promotion, for creating new works, or for resale. Specific permission must be obtained in writing from CRC Press LLC for such copying. Direct all inquiries to CRC Press LLC, 2000 N.W. Corporate Blvd., Boca Raton, Florida 33431. Trademark Notice: Product or corporate names may be trademarks or registered trademarks, and are used only for identification and explanation, without intent to infringe. Visit the CRC Press Web site at www.crcpress.com © 2005 by Chapman & Hall/CRC No claim to original U.S. Government works ISBN 0-203-50727-4 Master e-book ISBN ISBN 0-203-59454-1 (Adobe ebook Reader Format) International Standard Book Number 1-58488-425-8 Library of Congress Card Number 2004051916

Preface Contents xi 1.1 Before You Start 1.2 Initial Data Analysis 1.3 When to Use Regression Analysis 1.4 History 1 Introduction 2 Estimation 3 Inference 4 Diagnostics 2.1 Linear Model 2.2 Matrix Representation 2.3 Estimating ! 2.4 Least Squares Estimation 2.5 Examples of Calculating 2.6 Gauss—Markov Theorem 2.7 Goodness of Fit 2.8 Example 2.9 Identifiability 3.1 Hypothesis Tests to Compare Models 3.2 Testing Examples 3.3 Permutation Tests 3.4 Confidence Intervals for ! 3.5 Confidence Intervals for Predictions 3.6 Designed Experiments 3.7 Observational Data 3.8 Practical Difficulties 4.1 Checking Error Assumptions 4.2 Finding Unusual Observations 4.3 Checking the Structure of the Model 2 7 1 1 7 12 12 13 13 14 16 17 18 20 23 28 28 30 36 38 41 44 48 53 58 58 69 78

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