Linear Models: The Theory and Application of Analysis of Variance
Brenton R. Clarke
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 ... Read more
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Vector space theory
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The theory of least squares estimation
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Gauss-Markov theorem
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Kronecker products
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Diagnostic and robust methods for linear models
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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.
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About Brenton R. Clarke
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