Mixed-influence nonlinear growth model

Nonlinear mixed-influence growth model, obtained by combining well-known logistic and monomolecular models, is thoroughly studied. As an, illustration proportion of area under high yielding varieties of wheat in the country during post-Green revolution era is modelled through this model. Employing n...

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Bibliographic Details
Published in:Journal of the Indian Society of Agricultural Statistics 2003-04, Vol.56 (1)
Main Authors: Prajneshu, Kandala, V.M. (Indian Agricultural Statistics Research Institute, New Delhi (India))
Format: Article
Language:English
Subjects:
MODELOS
MODÈLE
MÉTHODE STATISTIQUE
MÉTODOS ESTADÍSTICOS
STATISTICAL METHODS
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Summary:Nonlinear mixed-influence growth model, obtained by combining well-known logistic and monomolecular models, is thoroughly studied. As an, illustration proportion of area under high yielding varieties of wheat in the country during post-Green revolution era is modelled through this model. Employing nonlinear estimation procedures, it is found that some parameter estimates did not converge to biologically meaningful values. Subsiquently, one parameter of the model is reparamaterized by using the concept of `Expected-value parameter'. Consequently, the resultant form is successfully fixed to the data. Another advantage is that, by computing Bates and Watts measures of nonlinearity, it is shown that the model-data set combination depicted close-to-linear behaviour. Finally, Wald's test is applied to test the hypothesis of equality of some parameters.
ISSN:0019-6363