Quantile contours and allometric modelling with an application to anthropometric charts in preterm infants
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We develop an approach to risk classification based on quantile contours and allometric modelling of multivariate anthropometric measurements. We propose the definition of allometric direction tangent to the directional quantile envelope, which divides ratios of measurements into half-spaces. This in turn provides an operational definition of directional quantile that can be used as cutoff for risk assessment. Throughout the paper, we show the application of the proposed approach using a large dataset from the Vermont Oxford Network containing observations of birthweight and head circumference for more than 150,000 preterm infants.
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