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  • Title: A non-parametric conditional bivariate reference region with an application to height/weight measurements on normal girls.
    Author: Petersen JH.
    Journal: Biom J; 2009 Aug; 51(4):697-709. PubMed ID: 19650052.
    Abstract:
    A conceptually simple two-dimensional conditional reference curve is described. The curve gives a decision basis for determining whether a bivariate response from an individual is "normal" or "abnormal" when taking into account that a third (conditioning) variable may influence the bivariate response. The reference curve is not only characterized analytically but also by geometric properties that are easily communicated to medical doctors - the users of such curves. The reference curve estimator is completely non-parametric, so no distributional assumptions are needed about the two-dimensional response. An example that will serve to motivate and illustrate the reference is the study of the height/weight distribution of 7-8-year-old Danish school girls born in 1930, 1950, or 1970.
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