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orange-trees

Orange trees

Filed under: Growth models

Simple growth curve example with individual effects (random effects) from Pinheiro & Bates (2000)

A growth curve model fitted to the "orange tree" data by Pinheiro & Bates (2000, Ch.8.2) as an illustration of the R (S-Plus) routine nlme(). The logistic growth curve is given as

Xt = σX exp(h2) εt

 

where y is the response and t is the age of the tree. The regression parameters to be estimated are: f1, f2 and f3, and e is the residual error term. A random effect u is added to the parameter f1.

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Extension of the model

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