A non-parametric conditional bivariate reference region with an application to height/weight measurements on normal girls
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A non-parametric conditional bivariate reference region with an application to height/weight measurements on normal girls. / Petersen, Jørgen Holm.
In: Biometrical Journal, Vol. 51, No. 4, 2009, p. 697-709.Research output: Contribution to journal › Journal article › Research › peer-review
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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
VL - 51
SP - 697
EP - 709
JO - Biometrical Journal
JF - Biometrical Journal
SN - 0323-3847
IS - 4
ER -
ID: 20196113