The area between curves (ABC)--measure in nutritional anthropometry
| Autor: | Schelp Fp, Dankmar Böhning, Peter Schlattmann, Axel Hempfling |
|---|---|
| Rok vydání: | 1992 |
| Předmět: |
Statistics and Probability
Male Analysis of Variance Models Statistical Distribution (number theory) Anthropometry Epidemiology Generalization Nutritional Anthropometry Statistics as Topic Infant Nutritional Status Body Height Normal distribution Sampling distribution Reference Values Child Preschool Statistics Econometrics Statistical inference Humans Statistic Mathematics |
| Zdroj: | Statistics in medicine. 11(10) |
| ISSN: | 0277-6715 |
| Popis: | This paper considers a statistic — recently suggested by Mora — for the deviation of a sample distribution from a reference distribution which typically arises in anthropometry when using the nutritional indicators height/age, weight/age or weight/height. The statistic measures the area between curves (ABC) and stands for the mass of the sample distribution which is not covered by the reference distribution. The paper provides a statistical framework for the ABC and includes some minor corrections of Mora's original paper. For the normal distribution situation with common or different variances, formulae are derived which include a partition of ABC into parts corresponding to malnourished and well-nourished groups. However, the main result is a non-parametric generalization of the ABC, motivated by the fact that the nutritional indicators often have skewed distributions with heavier left tails. Non-parametric statistical inference is provided by linking the ABC to the Kolmogorov-Smirnov statistic. |
| Databáze: | OpenAIRE |
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