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Chapter

An outline of generalized linear models

Chapter

An outline of generalized linear models

DOI link for An outline of generalized linear models

An outline of generalized linear models book

An outline of generalized linear models

DOI link for An outline of generalized linear models

An outline of generalized linear models book

ByP. McCullagh, J.A. Nelder
BookGeneralized Linear Models

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Edition 2nd Edition
First Published 1983
Imprint Routledge
Pages 27
eBook ISBN 9780203753736

ABSTRACT

An important characteristic of generalized linear models is that they assume independent observations. The simplest instance of a model excluded by this criterion is the standard linear model for the splitplot design, which has two error terms, one for between-whole-plot variance and one for within-whole-plot variance. For instance autoregressive models can easily be fitted using programmes designed expressly for ordinary linear models. In generalized linear models, additivity is, correctly, postulated as a property of the expected responses. Having selected a particular model, it is required to estimate the parameters and to assess the precision of the estimates. In the case of generalized linear models, estimation proceeds by defining a measure of goodness of fit between the observed data and the fitted values generated by the model. Residuals can be used to explore the adequacy of fit of a model, in respect of choice of variance function, link function and terms in the linear predictor.

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