Nonlinear growth generates age changes in the moments of the frequency distribution: The example of height in puberty

Biostatistics

Volumn 9, Issue 1, 2008, Pages 159-171

  Cole, Tim J ^a   Cortina Borja, Mario ^a   Sandhu, Jat ^b   Kelly, Frank P ^c   Pan, Huiqi ^a  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

^b UNIVERSITY OF BRISTOL   (United Kingdom)

^c UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Growth; Height; Kurtosis; Random effects; Skewness

Indexed keywords

ADOLESCENT; ADULT; AGE; ARTICLE; BODY HEIGHT; CHILD; CROSS-SECTIONAL STUDY; GROWTH; HUMAN; LONGITUDINAL STUDY; MALE; NONLINEAR SYSTEM; PHYSIOLOGY; PUBERTY; STATISTICAL ANALYSIS;

ADOLESCENT; ADULT; AGE FACTORS; BODY HEIGHT; CHILD; CROSS-SECTIONAL STUDIES; DATA INTERPRETATION, STATISTICAL; GROWTH; HUMANS; LONGITUDINAL STUDIES; MALE; NONLINEAR DYNAMICS; PUBERTY;

PROSPECT HILL VIRUS;

EID: 37249060419     PISSN: 14654644     EISSN: 14684357     Source Type: Journal    
DOI: 10.1093/biostatistics/kxm020     Document Type: Article

References (20)

1. BEATH, K. J. (2007). Infant growth modelling using a shape invariant model with random effects. Statistics in Medicine 26, 2547-2564.
2. BOAS, F. (1892a). The growth of children. Science 19, 256-257.
3. BOAS, F. (1892b). The growth of children. Science 19, 281-282.
4. BOWDITCH, H. P. (1891). The growth of children studied by Galton's percentile grades. 22nd Annual Report of the State Board of Health of Massachusetts. Boston, MA: Wright and Potter.
5. COLE, T. J., FREEMAN, J. V. AND PREECE, M. A. (1998). British 1990 growth reference centiles for weight, height, body mass index and head circumference fitted by maximum penalized likelihood. Statistics in Medicine 17, 407-429.
6. COLE, T. J. AND GREEN, P. J. (1992). Smoothing reference centile curves: the LMS method and penalized likelihood. Statistics in Medicine 11, 1305-1319.
7. FREDRIKS, A. M., VAN BUUREN, S., BURGMEIJER, R. J., MEULMEESTER, J. F., BEUKER, R. J., BRUGMAN, E., ROEDE, M. J., VERLOOVE-V ANHORICK, S. P. AND WIT, J. M. (2000). Continuing positive secular growth change in The Netherlands 1955-1997. Pediatric Research 47, 316-323.
8. FREEMAN, J. V., COLE, T. J., CHINN, S., JONES, P. R. M., WHITE, E. M. AND PREECE, M. A. (1995). Cross-sectional stature and weight reference curves for the UK, 1990. Archives of Disease in Childhood 73, 17-24.
9. FRIEND, G. E. (1935). The Schoolboy: A Study of His Nutrition, Physical Development and Health. Cambridge, UK: Heffer.
10. KUCZMARSKI, R. J., OGDEN, C. L., GRUMMER- STRAWN, L. M., FLEGAL, K. M., GUO, S. S., WEI, R., MEI, Z., CURTIN, L. R., ROCHE, A. F. AND JOHNSON, C. L. (2000). CDC Growth Charts: United States. Hyattsville, MD: National Center for Health Statistics.
11. MERRELL, M. (1931). The relationship of individual growth, to average growth. Human Biology 3, 37-70.
12. PAN, H. AND COLE, T. J. (2004). A comparison of goodness of fit tests for age-related, reference ranges. Statistics in Medicine 23, 1749-1765.
13. PINHEIRO, J. C. AND BATES, D. M. (2000). Mixed-Effects Models in S andS-PLUS. New York: Springer.
14. RIGBY, R. A. AND STASINOPOULOS, D. M. (2005). Generalized additive models for location, scale and shape (with discussion). Applied Statistics 54, 507-544.
15. SANDHU, J., BEN-SHLOMO, Y., COLE, T. J., HOLLY, J. AND DAVEY SMITH, G. (2006a). The impact of childhood, body mass index on timing of puberty, adult stature and obesity: a follow-up study based on adolescent anthropometry recorded at Christ's Hospital (1936-1964). International Journal of Obesity 30, 14-22.
16. SANDHU, J., DAVEY SMITH, G., HOLLY, J., COLE, T. J. AND BEN-SHLOMO, Y (2006b). Timing of puberty determines serum insulin-like growth factor-1 in late adulthood. Journal of Clinical Endocrinology and Metabolism 91,3150-3157.
17. TANNER, J. M. (1962). Growth at Adolescence. Oxford: Blackwell.
18. TANNER, J. M. (1978). Foetus into Man: Physical Growth from Conception to Maturity. London: Open Books.
19. TANNER, J. M. (1981). A History of the Study of Human Growth. Cambridge, UK: Cambridge University Press.
20. TANNER, J. M., WHITEHOUSE, R. H. AND TAKAISHI, M. (1966). Standards from birth to maturity for height, weight, height velocity, and weight velocity: British children, 1965 parts I and II. Archives of Disease in Childhood 41, 454-471, 613-635.