Statistical Modelling 1 (2001), 3–16
Modelling and Analysing Correlated Non-normal Data
Youngjo Lee
Seoul National University, Korea
John A Nelder
Department of Mathematics,
Imperial College
London SW7 2BZ UK
eMail: j.nelder@ic.ac.uk
Abstract:
We introduce a model
class that includes many types of correlation structures for
non-Gaussian models. We then show how to check the underlying assumptions to
discriminate between different correlation patterns and demonstrate how to
select suitable models. Strawberry data are used to discuss the choice
between fixed- and random-effect models for the fertility effect in
agricultural experiments. Prostate cancer data are used to demonstrate
the method applied to the analysis of longitudinal studies and Scottish
lip-cancer data to illstrate an application to spatial statistics.
Keywords:
hierarchical generalized
linear model; correlation; longitudinal study; state-space
model; spatial statistics; model checking
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Software uses the K system in GenStat which can be obtained from
http://www.nag.co.uk/stats/TT/k2.html
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