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Harrell F.E.J. Regression Modeling Strategies: With Applications to Linear Models, Logistic Regression, and Survival Analysis

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Harrell F.E.J. Regression Modeling Strategies: With Applications to Linear Models, Logistic Regression, and Survival Analysis
2nd ed. — Springer, 2015. — 597 p. — (Springer Series in Statistics). — ISBN: 9783319194240, 9783319194257
This highly anticipated second edition features new chapters and sections, 225 new references, and comprehensive R software. In keeping with the previous edition, this book is about the art and science of data analysis and predictive modeling, which entails choosing and using multiple tools. Instead of presenting isolated techniques, this text emphasizes problem solving strategies that address the many issues arising when developing multivariable models using real data and not standard textbook examples. It includes imputation methods for dealing with missing data effectively, methods for fitting nonlinear relationships and for making the estimation of transformations a formal part of the modeling process, methods for dealing with "too many variables to analyze and not enough observations," and powerful model validation techniques based on the bootstrap. The reader will gain a keen understanding of predictive accuracy and the harm of categorizing continuous predictors or outcomes. This text realistically deals with model uncertainty and its effects on inference, to achieve "safe data mining." It also presents many graphical methods for communicating complex regression models to non-statisticians.
Regression Modeling Strategies presents full-scale case studies of non-trivial datasets instead of over-simplified illustrations of each method. These case studies use freely available R functions that make the multiple imputation, model building, validation and interpretation tasks described in the book relatively easy to do. Most of the methods in this text apply to all regression models, but special emphasis is given to multiple regression using generalized least squares for longitudinal data, the binary logistic model, models for ordinal responses, parametric survival regression models and the Cox semi parametric survival model. A new emphasis is given to the robust analysis of continuous dependent variables using ordinal regression.
As in the first edition, this text is intended for Masters' or Ph.D. level graduate students who have had a general introductory probability and statistics course and who are well versed in ordinary multiple regression and intermediate algebra. The book will also serve as a reference for data analysts and statistical methodologists, as it contains an up-to-date survey and bibliography of modern statistical modeling techniques. Examples used in the text mostly come from biomedical research, but the methods are applicable anywhere predictive models ("analytics") are useful, including economics, epidemiology, sociology, psychology, engineering and marketing.
General Aspects of Fitting Regression Models
Missing Data
Multivariable Modeling Strategies
Describing, Resampling, Validating, and Simplifying the Model
Modeling Longitudinal Responses using Generalized Least Squares
Case Study in Data Reduction
Overview of Maximum Likelihood Estimation
Binary Logistic Regression
Case Study in Binary Logistic Regression, Model Selection and Approximation: Predicting Cause of Death
Logistic Model Case Study 2: Survival of Titanic Passengers
Ordinal Logistic Regression
Case Study in Ordinal Regression, Data Reduction, and Penalization
Regression Models for Continuous Y and Case Study in Ordinal Regression
Transform-Both-Sides Regression
Introduction to Survival Analysis
Parametric Survival Models
Case Study in Parametric Survival Modeling and Model Approximation
Cox Proportional Hazards Regression Model
Case Study in Cox Regression.
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