A non-parametric conditional bivariate reference region with an application to height/weight measurements on normal girls

TY - JOUR

T1 - A non-parametric conditional bivariate reference region with an application to height/weight measurements on normal girls

AU - Petersen, Jørgen Holm

N1 - Keywords: Adolescent; Algorithms; Anthropometry; Biometry; Body Height; Body Weight; Data Interpretation, Statistical; Effect Modifiers (Epidemiology); Female; Humans; Reference Values

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

U2 - 10.1002/bimj.200800146

DO - 10.1002/bimj.200800146

M3 - Journal article

C2 - 19650052

SN - 0323-3847

VL - 51

SP - 697

EP - 709

JO - Biometrical Journal

JF - Biometrical Journal

IS - 4

ER -