A Non-parametric Conditional Bivariate Reference Region with an Application to Height/Weight Measurements on Normal Girls
✍ Scribed by Jorgen Holm Petersen
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 457 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0323-3847
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✦ Synopsis
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.