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9 - Model selection and averaging schemes in action

Published online by Cambridge University Press:  05 September 2012

Gerda Claeskens
Affiliation:
Katholieke Universiteit Leuven, Belgium
Nils Lid Hjort
Affiliation:
Universitetet i Oslo
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Summary

In this chapter model selection and averaging methods are applied in some usual regression set-ups, like those of generalised linear models and the Cox proportional hazards regression model, along with some less straightforward models for multivariate data. Answers are suggested to several of the specific model selection questions posed about the data sets of Chapter 1. In the process we explain in detail what the necessary key quantities are, for different strategies, and how these are estimated from data. A concrete application of methods for statistical model selection and averaging is often a nontrivial task. It involves a careful listing of all candidate models as well as specification of focus parameters, and there might be different possibilities for estimating some of the key quantities involved in a given selection criterion. Some of these issues are illustrated in this chapter, which is concerned with data analysis and discussion only; for the methodology we refer to earlier chapters.

AIC and BIC selection for Egyptian skull development data

We perform model selection for the data set consisting of measurements on skulls of male Egyptians, living in different time eras; see Section 1.2 for more details. Our interest lies in studying a possible trend in the measurements over time and in the correlation structure between measurements.

Assuming the normal approximation at work, we construct for each time period, and for each of the four measurements, pointwise 95% confidence intervals for the expected average measurement of that variable and in that time period.

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Publisher: Cambridge University Press
Print publication year: 2008

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