A trivariate distribution for the height, weight, and fat of adult men

Risk Analysis

Volumn 18, Issue 4, 1998, Pages 385-389

  Burmaster, David E ^a   Murray, Donald M ^b  

^a Alceon Corporation   (United States)

^b Energy and Environmental Research   (United States)

Author keywords

Body fat; Body weight; Height; PBPK models; Trivariate Normal distribution

Indexed keywords

COMPUTER SIMULATION; DATA REDUCTION; HEALTH RISKS; NORMAL DISTRIBUTION; PHYSIOLOGY;

PHYSIOLOGICALLY-BASED PHARMACOKINETIC (PBPK) MODELS; TRIVARIATE NORMAL DISTRIBUTION;

RISK ASSESSMENT;

ADULT; AGED; AGING; ARTICLE; BODY FAT; BODY HEIGHT; BODY WEIGHT; COMPUTER SIMULATION; CONTROLLED STUDY; HUMAN; MALE; NORMAL HUMAN; NORMAL VALUE; TISSUE DISTRIBUTION;

ADIPOSE TISSUE; AGED; AGED, 80 AND OVER; AGING; BODY HEIGHT; BODY WEIGHT; COMPUTER SIMULATION; DATA INTERPRETATION, STATISTICAL; HUMANS; MALE; MIDDLE AGED; MODELS, BIOLOGICAL; MODELS, CHEMICAL; NORMAL DISTRIBUTION; PHARMACOKINETICS; PROBABILITY; REGRESSION ANALYSIS; REPRODUCIBILITY OF RESULTS;

EID: 0032143765     PISSN: 02724332     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1539-6924.1998.tb00352.x     Document Type: Article

References (26)

1. National Research Council, Pharmacokinetics in Risk Assessment (National Academy Press, Washington, D.C., 1987).
2. D. Krewski, D. J. Murdoch, and J. R. Withey, The Application of Pharmacokinetic Data in Carcinogenic Risk Assessment, in Pharmacokinetics in Risk Assessment, Vol. 8, Drinking Water and Health (National Academy Press, Washington, D.C., 1987), pp. 441-468.
3. W. S. Snyder, M. J. Cook, E. S. Nasset, L. R. Karhausen, and G. P. Howells, Report of the Task Group on Reference Man, International Commission on Radiological Protection Number 23 (Pergamon Press, Oxford, U.K., 1975).
4. C. Lentner (ed.), Geigy Scientific Tables, Vol. 1, 8th Ed. (CibaGeigy, Basle, CH, 1981).
5. J. W. Tukey, Exploratory Data Analysis (Addison-Wesley, Reading, MA, 1977).
6. J. Brainard and D. E. Burmaster, "Bivariate Distributions for Height and Weight of Men and Women in the United States," Risk Anal, 12(2), 267-275 (1992).
7. D. E. Burmaster and E. A. C. Crouch, "Lognormal Distributions for Body Weight as a Function of Age for Males and Females in the United States, 1976-1980," Risk Anal. 17(4), 499-506 (1997).
8. W. S. Cleveland, Visualizing Data (AT&T Bell Laboratories, Hobart Press, Summit, NJ, 1993).
9. W. S. Cleveland, The Elements of Graphing Data (AT&T Bell Laboratories, Hobart Press, Summit, NJ, 1994).
10. Systat, Inc. (Users Manual, Evanston, IL, 1992).
11. R. B. D'Agostino and M. A. Stephens, Goodness-of-Fit Techniques (Marcel Dekker, New York, NY, 1986).
12. D. E. Burmaster and D. A. Hull, "Using LogNormal Distributions and LogNormal Probability Plots in Probabilistic Risk Assessment." Human Ecol Risk Assess. V 3(4), 235-255 (1997).
13. E. S. Keeping, Introduction to Statistical Inference (Dover, New York, NY, 1995).
14. T. P. Hutchinson and C. D. Lai, Continuous Bivariate Distributions, Emphasizing Applications (Rumsby Scientific Publishing, Adelaide, South Australia, 1990).
15. S. Wolfram, Mathematica®. A System for Doing Mathematics by Computer, 2nd Ed. (Addison-Wesley, Redwood City, CA, 1991).
16. T. Wickham-Jones, Mathematica Graphics, Techniques & Appli-cations (Springer-Verlag, Telos, Santa Clara, CA, 1994).
17. C. A. Pickover and S. K. Tewksbury, Frontiers of Scientific Visualization (Wiley & Sons, New York, NY, 1994).
18. E. R. Tufte, Envisioning Information (Graphics Press, Cheshire, CT, 1990).
19. E. R. Tufte, The Visual Display of Quantitative Information (Graphics Press, Cheshire, CT, 1983).
20. R. S. Wolff and L. Yaeger, Visualization of Natural Phenomena (Telos: Springer Verlag, Santa Clara, CA, 1993).
21. T. W. Anderson, An Introduction to Multivariate Statistical Analysis (Wiley, New York, 1958).
22. M. Evans, N. Hastings, and B. Peacock, Statistical Distributions, 2nd Ed. (John Wiley & Sons, New York, NY, 1993).
23. C. Rose and M. D. Smith. "The Multivariate Normal Distribution," Mathematica J. 6, 32-37 (Winter 1996).
24. A. E. Smith, P. B. Ryan, and J. S. Evans, "The Effect of Neglecting Correlations When Propagating Uncertainty and Estimating Population Distribution of Risk." Risk Anal. 12(4), 467-474 (December 1992).
25. H. C. Lukaski et al. Am. J. Clin. Nutr 41, 810-817 (1985).
26. H. C. Lukaski et al, J. Appl Physiol 60, 1327-1332 (1986).