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Linear Models

The Theory and Application of Analysis of Variance

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Éditeur :

Wiley-Interscience


Collection :

Wiley Series in Probability and Statistics

Paru le : 2008-09-19



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Description
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.
Pages
272 pages
Collection
Wiley Series in Probability and Statistics
Parution
2008-09-19
Marque
Wiley-Interscience
EAN papier
9780470025666
EAN PDF
9780470377970
Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
272
Taille du fichier
8786 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
140,26 €

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