Abstract

This work presents a formulation of the hierarchical general linear model with two levels for growth curve modelling. This formulation considers a Kth degree polynomial equation for each individual growth curve like a one-level regression equation. In the second level the regression coefficients are modelled considering q explanatory variables at the individual level, this procedure permits an explication of variability between growth curves. The second level of the model is expressed as a multivariate linear regression model, obtaining a multivariate residuals matrix for the second level. The biplot is proposed as a graphical tool that permits to do diagnostics using this residual matrix. An example of yield growth curves of an orthogonal centered design matrix on a randomized blocks experimental design is used for presenting an illustration of these proposals.

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