Plane Answers to Complex Questions

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Beschreibung

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: ANOVA, estimation including Bayesian estimation, hypothesis testing, 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: balanced incomplete block designs, testing for lack of fit, testing for independence, models with singular covariance matrices, variance component estimation, best linear and best linear unbiased prediction, collinearity, and variable selection. This new edition includes a more extensive discussion of best prediction and associated ideas of R2, as well as new sections on inner products and perpendicular projections for more general spaces and Milliken and Graybill¿s generalization of Tukey¿s one degree of freedom for nonadditivity test.

Über den Autor

Ronald Christensen is Professor of Statistics at the University of New Mexico, Fellow of the American Statistical Association (ASA) and the Institute of Mathematical Statistics, and former Chair of the ASA Section on Bayesian Statistical Science.

Zusammenfassung

Updated version of a classic textbook in Statistics

Focus on Fisherian inference, rather than the previous blend of Fisherian and Neyman-Pearson inference

Illustrates the practical application of the projective approach to linear models

Includes supplementary material: [...]

Inhaltsverzeichnis

Introduction.- Estimation.- Testing.- One-Way ANOVA.- Multiple Comparison Techniques.- Regression Analysis.- Multifactor Analysis of Variance.- Experimental Design Models.- Analysis of Covariance.- General Gauss-Markov Models.- Split Plot Models.- Mixed Models and Variance Components.- Model Diagnostics.- Variable Selection.- Collinearity and Alternative Estimates.-

Details

Erscheinungsjahr:	2013
Fachbereich:	Wahrscheinlichkeitstheorie
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Springer Texts in Statistics
ISBN-13:	9781461428855
ISBN-10:	1461428858
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Christensen, Ronald
Auflage:	Softcover reprint of hardcover 4th ed. 2011
Hersteller:	Springer New York Springer US, New York, N.Y. Springer Texts in Statistics
Maße:	235 x 155 x 28 mm
Von/Mit:	Ronald Christensen
Erscheinungsdatum:	15.07.2013
Gewicht:	0,774 kg

Artikel-ID: 105735431