We discuss a practical and effective framework to estimate reference growth charts via regression quantiles. Inequality constraints are used to ensure both monotonicity and non-crossing of the estimated quantile curves and penalized splines are employed to model the nonlinear growth patterns with respect to age. A companion R package is presented and relevant code discussed to favour spreading and application of the proposed methods.
Muggeo, V., Sciandra, M., Tomasello, A., & Calvo, S. (2013). Estimating growth charts via nonparametric quantile regression: a practical framework with application in ecology. ENVIRONMENTAL AND ECOLOGICAL STATISTICS, 20, 519-531 [10.1007/s10651-012-0232-1].
Estimating growth charts via nonparametric quantile regression: a practical framework with application in ecology.
MUGGEO, Vito Michele Rosario;SCIANDRA, Mariangela;TOMASELLO, Agostino;CALVO, Sebastiano
2013
Abstract
We discuss a practical and effective framework to estimate reference growth charts via regression quantiles. Inequality constraints are used to ensure both monotonicity and non-crossing of the estimated quantile curves and penalized splines are employed to model the nonlinear growth patterns with respect to age. A companion R package is presented and relevant code discussed to favour spreading and application of the proposed methods.
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