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Linear Models - The Theory and Application of Analysis of Variance

Автор: Brenton R. Clarke

Език:

Корици: С твърди корици

Издател: John Wiley & Sons Inc

Наличност: Външен склад

Изпращаме след 14-20 дни

140.70 € 275.19 лв

An insightful approach to the analysis of variance in the study of linear models Linear Models explo...

Информация за книгата

Автор

Brenton R. Clarke

Език

Английски език

Корици

Книга - С твърди корици

Издадена

2008

страници

272

EAN

9780470025666

ISBN

0470025662

Enbook ID

04878709

Издател

John Wiley & Sons Inc

Теглоt

504

Размери

165 x 242 x 21

Пълно описание

An insightful approach to the analysis of variance in the study of linear models Linear Models explores the theory of linear models and the dynamic relationships that these models have with Analysis of Variance (ANOVA), experimental design, and random and mixed-model effects. This one-of-a-kind book emphasizes an approach that clearly explains the distribution theory of linear models and experimental design starting from basic mathematical concepts in linear algebra. The author begins with a presentation of the classic fixed-effects linear model and goes on to illustrate eight common linear models, along with the value of their use in statistics. From this foundation, subsequent chapters introduce concepts pertaining to the linear model, starting with vector space theory and the theory of least-squares estimation. An outline of the Helmert matrix is also presented, along with a thorough explanation of how the ANOVA is created in both typical two-way and higher layout designs, ultimately revealing the distribution theory. Other important topics covered include: Vector space theory The theory of least squares estimation Gauss-Markov theorem Kronecker products Diagnostic and robust methods for linear models Likelihood approaches to estimation A discussion of Bayesian theory is also included for purposes of comparison and contrast, and numerous illustrative exercises assist the reader with uncovering the nature of the models, using both classic and new data sets. Requiring only a working knowledge of basic probability and statistical inference, Linear Models is a valuable book for courses on linear models at the upper-undergraduate and graduate levels. It is also an excellent reference for practitioners who use linear models to conduct research in the fields of econometrics, psychology, sociology, biology, and agriculture.