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
y = f1 /(1 + exp[-(t-f2)/f3]) ] + e,
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.
Extension of the model
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