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

Research output: Contribution to journalJournal articleResearchpeer-review

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.
Original languageEnglish
JournalBiometrical Journal
Volume51
Issue number4
Pages (from-to)697-709
Number of pages12
ISSN0323-3847
DOIs
Publication statusPublished - 2009

Bibliographical note

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

ID: 20196113