Abstract
In Chapter 8 we learned about the concept of hierarchical modeling, a data analysis approach that is appropriate when we have multiple measurements within each of several groups. In that chapter, variation in the data was represented with a between-group sampling model for group-specific means, in addition to a within-group sampling model to represent heterogeneity of observations within a group. In this chapter we extend the hierarchical model to describe how relationships between variables may differ between groups. This can be done with a regression model to describe within-group variation, and a multivariate normal model to describe heterogeneity among regression coefficients across the groups. We also cover estimation for hierarchical generalized linear models, which are hierarchical models that have a generalized linear regression model representing within-group heterogeneity.
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© 2009 Springer Science+Business Media, LLC
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Hoff, P.D. (2009). Linear and generalized linear mixed effects models. In: A First Course in Bayesian Statistical Methods. Springer Texts in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-92407-6_11
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DOI: https://doi.org/10.1007/978-0-387-92407-6_11
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Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-92299-7
Online ISBN: 978-0-387-92407-6
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