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Bivariate Distributions for Height and Weight of Men and Women in the United States

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  • Jennifer Brainard
  • David E. Burmaster

Abstract

For the U.S. population, we fit bivariate distributions to estimated numbers of men and women aged 18‐74 years in cells representing 1 in. intervals in height and 10 lb intervals in weight. For each sex separately, the marginal histogram of height is well fit by a normal distribution. For men and women, respectively, the marginal histogram of weight is well fit and satisfactorily fit by a lognormal distribution. For men, the bivariate histogram is satisfactorily fit by a normal distribution between the height and the natural logarithm of weight. For women, the bivariate histogram is satisfactorily fit by two superposed normal distributions between the height and the natural logarithm of weight. The resulting distributions are suitable for use in public health risk assessments.

Suggested Citation

  • Jennifer Brainard & David E. Burmaster, 1992. "Bivariate Distributions for Height and Weight of Men and Women in the United States," Risk Analysis, John Wiley & Sons, vol. 12(2), pages 267-275, June.
    • Handle: RePEc:wly:riskan:v:12:y:1992:i:2:p:267-275
    DOI: 10.1111/j.1539-6924.1992.tb00674.x
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    Citations

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    Cited by:

    1. David E. Burmaster, 1998. "Lognormal Distributions for Skin Area as a Function of Body Weight," Risk Analysis, John Wiley & Sons, vol. 18(1), pages 27-32, February.
    2. Maged M. Hamed & Philip B. Bedient, 1997. "On the Effect of Probability Distributions of Input Variables in Public Health Risk Assessment," Risk Analysis, John Wiley & Sons, vol. 17(1), pages 97-105, February.
    3. David E. Burmaster & Kimberly M. Thompson, 1999. "Using Animated Probability Plots to Explore the Suitability of Mixture Models with Two Component Distributions," Risk Analysis, John Wiley & Sons, vol. 19(6), pages 1185-1192, December.
    4. Kenneth Portier & J. Keith Tolson & Stephen M. Roberts, 2007. "Body Weight Distributions for Risk Assessment," Risk Analysis, John Wiley & Sons, vol. 27(1), pages 11-26, February.
    5. David E. Burmaster & Donald M. Murray, 1998. "A Trivariate Distribution for the Height, Weight, and Fat of Adult Men," Risk Analysis, John Wiley & Sons, vol. 18(4), pages 385-389, August.
    6. Lisa M. Funk & Richard Sedman & Jill A. J. Beals & Robert Fountain, 1998. "Quantifying the Distribution of Inhalation Exposure in Human Populations: 2. Distributions of Time Spent by Adults, Adolescents, and Children at Home, at Work, and at School," Risk Analysis, John Wiley & Sons, vol. 18(1), pages 47-56, February.
    7. Guido Sassi & Bernardo Ruggeri, 2008. "Uncertainty Evaluation of Human Risk Analysis (HRA) of Chemicals by Multiple Exposure Routes," Risk Analysis, John Wiley & Sons, vol. 28(5), pages 1343-1356, October.
    8. Cheng, Yuanyuan, 2023. "A method of 3R to evaluate the correlation and predictive value of variables," OSF Preprints c79tu, Center for Open Science.
    9. David E. Burmaster, 1998. "Lognormal Distributions for Total Water Intake and Tap Water Intake by Pregnant and Lactating Women in the United States," Risk Analysis, John Wiley & Sons, vol. 18(2), pages 215-219, April.
    10. Judy S. LaKind & Michael E. Ginevan & Daniel Q. Naiman & Anthony C. James & Roger A. Jenkins & Michael L. Dourson & Susan P. Felter & Carol G. Graves & Robert G. Tardiff, 1999. "Distribution of Exposure Concentrations and Doses for Constituents of Environmental Tobacco Smoke," Risk Analysis, John Wiley & Sons, vol. 19(3), pages 375-390, June.
    11. Charles N. Haas, 1999. "On Modeling Correlated Random Variables in Risk Assessment," Risk Analysis, John Wiley & Sons, vol. 19(6), pages 1205-1214, December.

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