Modelling height in adolescence: a comparison of methods for estimating the age at peak height velocity

References

• Baxter-Jones AD, Faulkner RA, Forwood MR, Mirwald RL, Bailey DA. 2011. Bone mineral accrual from 8 to 30 years of age: an estimation of peak bone mass. J Bone Miner Res 26:1729–1739.
   PubMed Web of Science ®Google Scholar
• Bayley N, Pinneau SR. 1952. Tables for predicting adult height from skeletal age: revised for use with the greulich-pyle hand standards. J Pediatr 40:423–441.
   PubMed Web of Science ®Google Scholar
• Bergsten-Brucefors A. 1976. A note on the accuracy of recalled age at menarche. Ann Hum Biol 3:71–73.
   PubMed Web of Science ®Google Scholar
• Billewicz WZ, Fellowes HM, Thomson AM. 1981. Pubertal changes in boys and girls in newcastle upon tyne. Ann Hum Biol 8:211–219.
   PubMed Web of Science ®Google Scholar
• Bock RD, Wainer H, Petersen A, Thissen D, Murray J, Roche A. 1973. A parameterization for individual human growth curves. Hum Biol 45:63–80.
   PubMed Web of Science ®Google Scholar
• Cole TJ, Donaldson MD, Ben-Shlomo Y. 2010. SITAR-a useful instrument for growth curve analysis. Int J Epidemiol 39:1558–1566.
   PubMed Web of Science ®Google Scholar
• Count EW. 1943. growth patterns of the human physique: an approach to kinetic anthropometry: part I. Hum Biol 15:1–32.
   Google Scholar
• Damon A, Bajema CJ. 1974. Age at menarche: accuracy of recall after thirty-nine years. Hum Biol 46:381–384.
   PubMed Web of Science ®Google Scholar
• Damon A, Damon ST, Reed RB, Valadian I. 1969. Age at menarche of mothers and daughters, with a note on accuracy of recall. Hum Biol 41:160–175.
   PubMed Web of Science ®Google Scholar
• Darelid A, Ohlsson C, Nilsson M, Kindblom JM, Mellstrom D, Lorentzon M. 2012. Catch up in bone acquisition in young adult men with late normal puberty. J Bone Miner Res 27:2198–2207.
   PubMed Web of Science ®Google Scholar
• Deming J. 1957. Application of the gompertz curve to the observed pattern of growth in length of 48 individual boys and girls during the adolescent cycle of growth. Hum Biol 29:83.
   PubMedGoogle Scholar
• Demirjian A, Goldstein H. 1976. New systems for dental maturity based on seven and four teeth. Ann Hum Biol 3:411–421.
   PubMed Web of Science ®Google Scholar
• Didcock E, Davies HA, Didi M, Ogilvy Stuart AL, Wales JK, Shalet SM. 1995. Pubertal growth in young adult survivors of childhood leukemia. J Clin Oncol 13:2503–2507.
   PubMed Web of Science ®Google Scholar
• Forwood MR, Bailey DA, Beck TJ, Mirwald RL, Baxter-Jones AD, Uusi-Rasi K. 2004. Sexual dimorphism of the femoral neck during the adolescent growth spurt: a structural analysis. Bone 35:973–981.
   PubMed Web of Science ®Google Scholar
• Gastin PB, Bennett G, Cook J. 2013. Biological maturity influences running performance in junior Australian football. J Sci Med Sport 16:140–145.
   PubMed Web of Science ®Google Scholar
• Goldstein H. 1986. Efficient statistical modelling of longitudinal data. Ann Hum Biol 13:129–141.
   PubMed Web of Science ®Google Scholar
• Greenland S, Robins JM, Pearl J. 1999. Confounding and collapsibility in causal inference. Statis Sci 14:29–46.
   Web of Science ®Google Scholar
• Greulich WW, Pyle SI. 1959. Radiographic atlas of skeletal development of the hand and wrist. Stanford: Stanford University Press.
   Google Scholar
• Hagg U, Taranger J. 1980. Menarche and voice change as indicators of the pubertal growth spurt. Acta Odontol Scand 38:179–186.
   PubMed Web of Science ®Google Scholar
• Jenss RM, Bayley N. 1937. A mathematical method for studying the growth of a child. Hum Biol 9:556.
   Google Scholar
• Jolicoeur P, Pontier J, Pernin MO, Sempe M. 1988. A lifetime asymptotic growth curve for human height. Biometrics 44:995–1003.
   PubMed Web of Science ®Google Scholar
• Kanefuji K, Shohoji T. 1990. On a growth model of human height. Growth Dev Aging 54:155–165.
   PubMedGoogle Scholar
• Khamis HJ, Roche AF. 1994. Predicting adult stature without using skeletal age: the khamis-roche method. Pediatrics 94:504–507.
   PubMed Web of Science ®Google Scholar
• Krutchko RG. 1967. Classical and inverse regression methods of calibration. Technometrics 9:425.
   Web of Science ®Google Scholar
• Leckie G, Charlton C. 2011. Runmlwin: stata module for fitting multilevel models in the Mlwin software package. Centre for Multilevel Modelling, University of Bristol.
   Google Scholar
• Liu BT, Muller HG. 2009. Estimating derivatives for samples of sparsely observed functions, with application to online auction dynamics. J Am Statist Assoc 104:704–717.
   Web of Science ®Google Scholar
• Mao SH, Xu LL, Zhu ZZ, Qian BP, Qiao J, Yi L, Qiu Y. 2013. Association between genetic determinants of peak height velocity during puberty and predisposition to adolescent idiopathic scoliosis. Spine 38:1034–1039.
   PubMed Web of Science ®Google Scholar
• Marubini E, Resele L, Barghini G. 1971. A comparative fitting of the gompertz and logistic functions to longitudinal height data during adolescence in girls. Hum Biol 43:237–252.
   PubMed Web of Science ®Google Scholar
• Mason A, Malik S, Russell RK, Bishop J, Mcgrogan P, Ahmed SF. 2011. Impact of inflammatory bowel disease on pubertal growth. Horm Res Paediatr 76:293–299.
   PubMed Web of Science ®Google Scholar
• MATLAB. 2012. Version 7.14 (R2012a). The Mathworks Inc., Natick, Massachusetts.
   Google Scholar
• Muller HG, Yao F. 2010. Empirical dynamics for longitudinal data. Ann Statis 38:3458–3486.
   Web of Science ®Google Scholar
• Nielsen S. 1985. Evaluation of growth in anorexia nervosa from serial measurements. J Psychiatr Res 19:227–230.
   PubMed Web of Science ®Google Scholar
• Preece MA, Baines MJ. 1978. A new family of mathematical models describing the human growth curve. Ann Hum Biol 5:1–24.
   PubMed Web of Science ®Google Scholar
• Price DA, Shalet SM, Clayton PE. 1988. Management of idiopathic growth hormone deficient patients during puberty. Acta Paediatr Scand Suppl 347:44–51.
   PubMedGoogle Scholar
• R Development Core Team. 2012. R: A language and environment for statistical computing. R foundation for statistical computing, Vienna, Austria. Available online at: http://www.R-Project.Org/.
   Google Scholar
• Ramsay RO, Silverman BW. 2005. Functional data analysis. New York: Springer.
   Google Scholar
• Rasbash J, Charlton C, Browne WJ, Healey M, Cameron B. 2009. Mlwin version 2.24. Centre for multilevel modelling, University of Bristol.
   Google Scholar
• Reed RB, Berkey CS. 1989. Linear statistical model for gorwth in stature from birth to maturity. Am J Hum Biol 1:257–262.
   PubMedGoogle Scholar
• Roche AF. 1988. Assessing skeletal maturity of the hand-wrist: Fels method. Springfield: IL: Charles C Thomas.
   Google Scholar
• Roche AF, Wainer H, Thissen D. 1975. The Rwt method for the prediction of adult stature. Pediatrics 56:1027–1033.
   PubMed Web of Science ®Google Scholar
• Royston P, Altman DG. 1994. Regression using fractional polynomials of continuous covariates: parsimonious parametric modeling. Appl Statis J R Statis Soc Ser C 43:429–467.
   Web of Science ®Google Scholar
• Sandhu J, Ben-Shlomo Y, Cole TJ, Holly J, Smith GD. 2006. 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). Int J Obes 30:14–22.
   PubMed Web of Science ®Google Scholar
• Sayers A, Baines M, Tilling K. 2013. A new family of mathematical models describing the human growth curve-erratum: direct calculation of peak height velocity, age at take-off and associated quantities. Ann Hum Biol 40:298–299.
   PubMed Web of Science ®Google Scholar
• Sherar LB, Baxter-Jones AD, Faulkner RA, Russell KW. 2007. Do physical maturity and birth date predict talent in male youth ice hockey players? J Sports Sci 25:879–886.
   PubMed Web of Science ®Google Scholar
• Sherar LB, Baxter-Jones ADG, Mirwald RL. 2004. Limitations to the use of secondary sex characteristics for gender comparisons. Ann Hum Biol 31:586–593.
   PubMed Web of Science ®Google Scholar
• Shohoji T, Sasaki H. 1987. Individual growth of stature of japanese. Growth 51:432–450.
   PubMedGoogle Scholar
• StataCorp. 2009. Stata Statistical Software: Release 11, College Station, TX: Statacorp Lp.
   Google Scholar
• Tanner JM. 1962. Growth at adolescence. Oxford: Blackwell.
   Google Scholar
• Tanner JM, Whitehouse RH, Healy MJR. 1962. A new system for estimating skeletal maturity from hand and wrist, with standards derived from a study of 2600 health British children. Paris: International Children's Centre.
   Google Scholar
• Tanner JM, Whitehouse RH, Marshall WA, Healy MJR, Goldstein H. 1975. Assessment of skeletal maturity and prediction of adult height (Tw2 method). New York: Academic Press.
   Google Scholar
• Taranger J, Engstrom I, Lichtenstein H, Svennberg-Redegren I. 1976. Somatic pubertal development. Acta Paediatr 65(S258):121–135.
   Google Scholar
• Viner RM, Ross D, Hardy R, Kuh D, Power C, Johnson A, Wellings K, et al. 2015. Life course epidemiology: recognising the importance of adolescence. BMJ Publishing Group Ltd.
   Google Scholar
• Yao F, Muller HG, Wang JL. 2005. Functional data analysis for sparse longitudinal data. J Am Statis Assoc 100:577–590.
   Web of Science ®Google Scholar