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### 1. Applied linear regression[2014]

Book
xvii, 340 pages : illustrations ; 24 cm.
• 1 Scatterplots 1 1.1 Scatterplots 2 1.2 Mean Functions 9 1.3 Variance Functions 12 1.4 Summary Graph 12 1.5 Tools for Looking at Scatterplots 13 1.6 Scatterplot Matrices 15 1.7 Problems 17 2 Simple Linear Regression 21 2.1 Ordinary Least Squares Estimation 22 2.2 Least Squares Criterion 24 2.3 Estimating the Variance 2 26 2.4 Properties of Least Squares Estimates 27 2.5 Estimated Variances 28 2.6 Confidence Intervals and -Tests 29 2.7 The Coefficient of Determination, 2 33 2.8 The Residuals 35 2.9 Problems 37 3 Multiple Regression 49 3.1 Adding a Regressor to a Simple Linear Regression Model49 3.2 The Multiple Linear Regression Model 53 3.3 Predictors and Regressors 53 3.4 Ordinary Least Squares 57 3.5 Predictions, Fitted Values and Linear Combinations 65 3.6 Problems 66 4 Interpretation of Main Effects 71 4.1 Understanding Parameter Estimates 71 4.2 Dropping Regressors 81 4.3 Experimentation Versus Observation 84 4.4 Sampling from a Normal Population 86 4.5 More on 2 88 4.6 Problems 90 5 Complex Regressors 95 5.1 Factors 95 5.2 Many Factors 105 5.3 Polynomial Regression 106 5.4 Splines 109 5.5 Principal Components 112 5.6 Missing Data 115 5.7 Problems 118 6 Testing and Analysis of Variance 129 6.1 -tests 130 6.2 The Analysis of Variance 134 6.3 Comparisons of Means 138 6.4 Power and Non-null Distributions 138 6.5 Wald Tests 140 6.6 Interpreting Tests 142 6.7 Problems 145 7 Variances 151 7.1 Weighted Least Squares 151 7.2 Misspecified Variances 157 7.3 General Correlation Structures 162 7.4 Mixed Models 163 7.5 Variance Stabilizing Transformations 165 7.6 The Delta Method 166 7.7 The Bootstrap 168 7.8 Problems 173 8 Transformations 179 8.1 Transformation Basics 179 8.2 A General Approach to Transformations 185 8.3 Transforming the Response 190 8.4 Transformations of Nonpositive Variables 192 8.5 Additive Models 192 8.6 Problems 193 9 Regression Diagnostics 199 9.1 The Residuals 199 9.2 Testing for Curvature 206 9.3 Nonconstant Variance 208 9.4 Outliers 208 9.5 Influence of Cases 212 9.6 Normality Assumption 218 9.7 Problems 220 10 Variable Selection 227 10.1 Variable Selection and Parameter Assessment 228 10.2 Variable Selection for Discovery 230 10.3 Model Selection for Prediction 238 10.4 Problems 241 11 Nonlinear Regression 245 11.1 Estimation for Nonlinear Mean Functions 246 11.2 Inference Assuming Large Samples 249 11.3 Starting Values 249 11.4 Bootstrap Inference 255 11.5 Further Reading 257 11.6 Problems 258 12 Binomial and Poisson Regression 263 12.1 Distributions for Counted Data 263 12.2 Regression Models For Counts 265 12.3 Poisson Regression 271 12.4 Transferring What You Know about Linear Models 276 12.5 Generalized Linear Models 278 12.6 Problems 278 A Appendix 283 A.1 Website 283 A.2 Means, Variances, Covariances and Correlations 283 A.3 Least Squares for Simple Regression 286 A.4 Means and Variances of Least Squares Estimates 286 A.5 Estimating E(
• (source: Nielsen Book Data)9781118386088 20160616
Praise for the Third Edition "...this is an excellent book which could easily be used as acourse text..." International Statistical Institute The Fourth Edition of Applied LinearRegression provides a thorough update of the basic theoryand methodology of linear regression modeling. Demonstrating thepractical applications of linear regression analysis techniques, the Fourth Edition uses interesting, real-worldexercises and examples. Stressing central concepts such as model building, understandingparameters, assessing fit and reliability, and drawing conclusions, the new edition illustrates how to develop estimation, confidence, and testing procedures primarily through the use of least squaresregression. While maintaining the accessible appeal of eachprevious edition, Applied Linear Regression, FourthEdition features: * Graphical methods stressed in the initial exploratory phase, analysis phase, and summarization phase of an analysis * In-depth coverage of parameter estimates in both simple andcomplex models, transformations, and regression diagnostics * Newly added material on topics including testing, ANOVA, andvariance assumptions * Updated methodology, such as bootstrapping, cross-validationbinomial and Poisson regression, and modern model selectionmethods Applied Linear Regression, Fourth Edition is anexcellent textbook for upper-undergraduate and graduate-levelstudents, as well as an appropriate reference guide forpractitioners and applied statisticians in engineering, businessadministration, economics, and the social sciences.
(source: Nielsen Book Data)9781118386088 20160616
Science Library (Li and Ma)
STATS-305A-01

### 2. Introductory statistics with R[2008]

Book
xvi, 363 p. : ill. ; 24 cm.
• Basics. - The R environment. - Probability and statistics. - Descriptive statistics and graphics. - One and two sample tests. - Regression and correlation. - ANOVA and Kruskal-Wallis. - Tabular data. - Power and the computation of sample size. - Advanced data handling. - Multiple regression. - Linear models. - Logistic regression. - Survival analysis. - Rates and Poisson regression. - Nonlinear curve-fitting. - Obtaining and installing R and the ISwR package. - Data sets in the ISwR package. - Compendium. - Answers to exercises. - Index.
• (source: Nielsen Book Data)9780387790534 20160528
R is an Open Source implementation of the well-known S language. It works on multiple computing platforms and can be freely downloaded. R is thus ideally suited for teaching at many levels as well as for practical data analysis and methodological development. This book provides an elementary-level introduction to R, targeting both non-statistician scientists in various fields and students of statistics. The main mode of presentation is via code examples with liberal commenting of the code and the output, from the computational as well as the statistical viewpoint.Brief sections introduce the statistical methods before they are used. A supplementary R package can be downloaded and contains the data sets. All examples are directly runnable and all graphics in the text are generated from the examples. The statistical methodology covered includes statistical standard distributions, one- and two-sample tests with continuous data, regression analysis, one and two-way analysis of variance, regression analysis, analysis of tabular data, and sample size calculations. In addition, the last four chapters contain introductions to multiple linear regression analysis, linear models in general, logistic regression, and survival analysis.
(source: Nielsen Book Data)9780387790534 20160528
Science Library (Li and Ma)
STATS-305A-01