Plane Answers to Complex Questions: The Theory of Linear Models (Springer Texts in Statistics) - Tapa dura

Libro 92 de 103: Springer Texts in Statistics

Christensen, Ronald

 
9783030320966: Plane Answers to Complex Questions: The Theory of Linear Models (Springer Texts in Statistics)
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ISBN 10: 3030320960 ISBN 13: 9783030320966
Editorial: Springer, 2020

Sinopsis

This textbook provides a wide-ranging introduction to the use and theory of linear models for analyzing data. The author’s emphasis is on providing a unified treatment of linear models, including analysis of variance models and regression models, based on projections, orthogonality, and other vector space ideas. Every chapter comes with numerous exercises and examples that make it ideal for a graduate-level course. All of the standard topics are covered in depth: estimation including biased and Bayesian estimation, significance testing, ANOVA, multiple comparisons, regression analysis, and experimental design models.  In addition, the book covers topics that are not usually treated at this level, but which are important in their own right: best linear and best linear unbiased prediction, split plot models, balanced incomplete block designs, testing for lack of fit, testing for independence, models with singular covariance matrices, diagnostics, collinearity, and variable selection. This new edition includes new sections on alternatives to least squares estimation and the variance-bias tradeoff, expanded discussion of variable selection, new material on characterizing the interaction space in an unbalanced two-way ANOVA, Freedman’s critique of the sandwich estimator, and much more.

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Acerca del autor

Ronald Christensen is a Professor of Statistics at the University of New Mexico, Fellow of the American Statistical Association (ASA) and the Institute of Mathematical Statistics, former Chair of the ASA Section on Bayesian Statistical Science and former Editor of The American Statistician. His book publications include Advanced Linear Modeling (Springer, new edition forthcoming), Log-Linear Models and Logistic Regression (Springer 1997), Analysis of Variance, Design, and Regression (1996, 2016), and  Bayesian Ideas and Data Analysis (2010, with Johnson, Branscum and Hanson).

De la contraportada

This textbook provides a wide-ranging introduction to the use and theory of linear models for analyzing data. The author's emphasis is on providing a unified treatment of linear models, including analysis of variance models and regression models, based on projections, orthogonality, and other vector space ideas. Every chapter comes with numerous exercises and examples that make it ideal for a graduate-level course. All of the standard topics are covered in depth: estimation including biased and Bayesian estimation, significance testing, ANOVA, multiple comparisons, regression analysis, and experimental design models.  In addition, the book covers topics that are not usually treated at this level, but which are important in their own right: best linear and best linear unbiased prediction, split plot models, balanced incomplete block designs, testing for lack of fit, testing for independence, models with singular covariance matrices, diagnostics, collinearity, and variable selection. This new edition includes new sections on alternatives to least squares estimation and the variance-bias tradeoff, expanded discussion of variable selection, new material on characterizing the interaction space in an unbalanced two-way ANOVA, Freedman's critique of the sandwich estimator, and much more.

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Editorial
Springer
Año de publicación
2020
Idioma
Inglés
ISBN 10 
3030320960
ISBN 13 
9783030320966
Encuadernación
Tapa dura
Número de edición
5
Número de páginas
552
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9783030320997: Plane Answers to Complex Questions: The Theory of Linear Models (Springer Texts in Statistics)

Edición Destacada

ISBN 10:  3030320995 ISBN 13:  9783030320997
Editorial: Springer, 2021
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