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An Introduction to Model-Based Survey Sampling with Applications$
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Ray Chambers and Robert Clark

Print publication date: 2012

Print ISBN-13: 9780198566625

Published to Oxford Scholarship Online: May 2012

DOI: 10.1093/acprof:oso/9780198566625.001.0001

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The General Linear Population Model

The General Linear Population Model

Chapter:
(p.72) 7 The General Linear Population Model
Source:
An Introduction to Model-Based Survey Sampling with Applications
Author(s):

Raymond L. Chambers

Robert G. Clark

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198566625.003.0007

All of the models discussed in chapters 3 through 6 are special cases of the correlated general linear population model. This chapter describes the general linear population model, and the correlated general linear population model. These models allow for very general relationships between the variable of interest and a set of auxiliary variables, where auxiliary variables can consist of an arbitrary number of continuous and categorical variables. Empirical best and best linear unbiased predictors are described, and the predictors from earlier chapters are shown to be special cases. Questions of model choice and efficient sample design are also considered.

Keywords:   general linear model, generalised regression estimator, model choice, sample design

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