Estimating peak height velocity in individuals: a comparison of statistical methods

References

• Beath K. 2007. Infant growth modelling using a shape invariant model with random effects. Stat Med 26(12):2547–2564.
   PubMed Web of Science ®Google Scholar
• Berkey CS. 1982. Comparison of two longitudinal growth models for preschool children. Biometrics 38(1):221–234.
   PubMed Web of Science ®Google Scholar
• Blackwell AD, Urlacher SS, Beheim B, von Rueden C, Jaeggi A, Stieglitz J, Trumble BC, et al. 2017. Growth references for Tsimane forager-horticulturalists of the Bolivian Amazon. Am J Phys Anthropol 162(3):441–461.
   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(1):63–80.
   PubMed Web of Science ®Google Scholar
• Bogin B. 1988. Patterns of human growth, 1st ed. New York, NY: University of Cambridge.
   Google Scholar
• Bogin B, Varea C, Hermanussen M, Scheffler C. 2018. Human life course biology: a centennial perspective of scholarship on the human pattern of physical growth and its place in human biocultural evolution. Am J Phys Anthropol 165(4):834–854.
   PubMed Web of Science ®Google Scholar
• Borghi E, de Onis M, Garza C, Van den Broeck J, Frongillo EA, Grummer-Strawn L, Van Buuren S, Pan H, et al. 2006. Construction of the World Health Organization child growth standards: selection of methods for attained growth curves. Stat Med 25(2):247–265.
   PubMed Web of Science ®Google Scholar
• Busscher I, Kingma I, de Bruin R, Wapstra F, Verkerke G, Veldhuizen A. 2012. Predicting the peak growth velocity in the individual child: validation of a new growth model. Eur Spine J 21(1):71–76.
   PubMed Web of Science ®Google Scholar
• Byard PJ, Guo S, Roche AF. 1991. Model fitting to early childhood length and weight data from the Fels Longitudinal Study of growth. Am J Hum Biol 3(1):33–40.
   PubMed Web of Science ®Google Scholar
• Byard PJ, Guo S, Roche AF. 1993. Family resemblance for Preece-Baines growth curve parameters in the Fels Longitudinal Growth study. Am J Hum Biol 5(2):151–157.
   PubMed Web of Science ®Google Scholar
• Cao ZQ, Hui LL, Wong MY. 2018b. Package “IAPVBS” – individual age at peak height velocity [Internet]. Available online at: https://github.com/Zhiqiangcao/iapvbs/blob/master/iapvbs-manual.pdf
   Google Scholar
• Cao ZQ, Hui LL, Wong MY. 2018a. New approaches to obtaining individual peak height velocity and age at peak height velocity from the SITAR model. Comput Methods Prog Biomed 163:79–85.
   PubMed Web of Science ®Google Scholar
• Chazono M, Tanaka T, Marumo K, Kono K, Suzuki N. 2015. Significance of peak height velocity as a predictive factor for curve progression in patients with idiopathic scoliosis. Scoliosis 10(Suppl. 2):S5.
   PubMedGoogle Scholar
• Chirwa ED, Griffiths PL, Maleta K, Norris SA, Cameron N. 2014. Multi-level modelling of longitudinal child growth data from the Birth-to-Twenty Cohort: a comparison of growth models. Ann Hum Biol 41(2):168–179.
   PubMed Web of Science ®Google Scholar
• Cole T, Green P. 1992. Smoothing reference centile curves: the LMS method and penalized likelihood. Stat Med 11(10):1305–1319.
   PubMed Web of Science ®Google Scholar
• Cole T. 2017. Package “SITAR” – SuperImposition by translation and rotation [Internet]. 1.0.10. Available online at: https://cran.r-project.org/web/packages/sitar/sitar.pdf
   Google Scholar
• Cole TJ, Cortina-Borja M, Sandhu J, Kelly FP, Pan H. 2008. Nonlinear growth generates age changes in the moments of the frequency distribution: the example of height in puberty. Biostatistics 9(1):159–171.
   PubMed Web of Science ®Google Scholar
• Cole TJ, Donaldson MDC, Ben-Shlomo Y. 2010. SITAR—a useful instrument for growth curve analysis. Int J Epidemiol 39(6):1558–1566.
   PubMed Web of Science ®Google Scholar
• Cole TJ, Kuh D, Johnson W, Ward KA, Howe LD, Adams JE, Hardy R, Ong KK. 2016. Using SITAR to relate pubertal growth to bone health in later life: the MRC National Survey of Health and Development. Int J Epidemiol 45:1–25.
   PubMed Web of Science ®Google Scholar
• Cole TJ, Mori H. 2018. Fifty years of child height and weight in Japan and South Korea: contrasting secular trend patterns analyzed by SITAR. Am J Hum Biol 30(1):e23054.
   PubMed Web of Science ®Google Scholar
• Cole TJ. 2012. The development of growth references and growth charts. Ann Hum Biol 39(5):382–394.
   PubMed Web of Science ®Google Scholar
• Cole TJ. 2015. Too many digits: the presentation of numerical data. Arch Dis Child 100(7):608–609.
   PubMed Web of Science ®Google Scholar
• Cole TJ. 2018. Optimal design for longitudinal studies to estimate pubertal height growth in individuals. Ann Hum Biol 45(4):314–320.
   PubMed Web of Science ®Google Scholar
• Epperson JF. 1987. On the Runge example. Math Month 94(4):329–341.
   Web of Science ®Google Scholar
• Eveleth PB, Tanner JM. 1990. Worldwide variation in human growth, 2nd ed. New York, NY: Cambridge University Press.
   Google Scholar
• Flegal KM, Cole TJ. 2013. Construction of LMS parameters for the Centers for Disease Control and Prevention 2000 Growth Charts (no. 63). US Department of Health and Human Services, Centers for Disease Control and Prevention, National Health Statistics Reports. 63. p 4.
   Google Scholar
• Goldstein H. 1986. Efficient statistical modelling of longitudinal data. Ann Hum Biol 13(2):129–141.
   PubMed Web of Science ®Google Scholar
• Goldstein H. 1989. Models for multilevel response variables with an application to growth curves. In: Bock RD, editor. Multilevel analysis of educational data. San Diego: Academic Press. p 107–125.
   Google Scholar
• Green W, Anderson M. 1960. Skeletal age and the control of bone growth. Instr Course Lect 17:199–217.
   PubMedGoogle Scholar
• Guo S, Siervogel RM, Roche AF, Chumlea WC. 1992. Mathematical modelling of human growth: a comparative study. Am J Hum Biol 4(1):93–104.
   PubMed Web of Science ®Google Scholar
• Hamill PVV, editor. 1977. NCHS growth curves for children: birth-18 years in the United States. Washington, DC: U. S. Dept. of Health, Education, and Welfare, Public Health Service, National Center for Health Statistics.
   Google Scholar
• Hardin AM, Valiathan M, Oh H, Knigge RP, McNulty KP, Leary EV, Duren DL, Sherwood RJ. 2020. Clinical implications of age-related change of the mandibular plane angle. Orthod Craniofac Res 23(1):50–58.
   PubMed Web of Science ®Google Scholar
• Hauspie R, Molinari L. 2004. Parametric models for postnatal growth. In: Hauspie R, Cameron N, Molinari L, editors. Methods in human growth research. Cambridge: Cambridge University Press. p 205–233.
   Google Scholar
• Howe LD, Tilling K, Matijasevich A, Petherick ES, Santos AC, Fairley L, Wright J, et al. 2016. Linear spline multilevel models for summarising childhood growth trajectories: a guide to their application using examples from five birth cohorts. Stat Methods Med Res 25(5):1854–1874.
   PubMed Web of Science ®Google Scholar
• Iuliano‐Burns S, Mirwald RL, Bailey DA. 2001. Timing and magnitude of peak height velocity and peak tissue velocities for early, average, and late maturing boys and girls. Am J Hum Biol 13(1):1–8.
   PubMed Web of Science ®Google Scholar
• Johnson W, Choh AC, Soloway LE, Czerwinski SA, Towne B, Demerath EW. 2012. Eighty-year trends in infant weight and length growth: the Fels Longitudinal Study. J Pediatr 160(5):762–768.
   PubMed Web of Science ®Google Scholar
• Kuczmarski RJ. 2000. CDC growth charts. United States. 314. p 28. https://stacks.cdc.gov/view/cdc/11267
   Google Scholar
• Kuh D, Muthuri SG, Moore A, Cole TJ, Adams JE, Cooper C, Hardy R, Ward KA. 2016. Pubertal timing and bone phenotype in early old age: findings from a British birth cohort study. Int J Epidemiol 45(4):1113–1124.
   PubMed Web of Science ®Google Scholar
• Largo RH, Gasser T, Prader A, Stuetzle W, Huber PJ. 1978. Analysis of the adolescent growth spurt using smoothing spline functions. Ann Hum Biol 5(5):421–434.
   PubMed Web of Science ®Google Scholar
• Leung S, Lam P, Zhang X, Chen X, Wang SL. 1999. Height and weight percentile curves of Beijing children and adolescents 0–18 years, 1995. Ann Hum Biol 26(5):457–471.
   PubMed Web of Science ®Google Scholar
• Little DG, Song KM, Katz D, Herring JA. 2000. Relationship of peak height velocity to other maturity indicators in idiopathic scoliosis in girls. J Bone Joint Surg Am 82(5):685–693.
   PubMed Web of Science ®Google Scholar
• Lohman T, Roche A, Martorell R. 1988. Anthropometric standardization reference manual. Champaign, IL: Human Kinetics Books.
   Google Scholar
• Lozy ME. 1978. A critical analysis of the double and triple logistic growth curves. Ann Hum Biol 5(4):389–394.
   PubMed Web of Science ®Google Scholar
• Mahmoud O, Granell R, Tilling K, Minelli C, Garcia-Aymerich J, Holloway JW, Custovic A, et al. 2018. Association of height growth in puberty with lung function: a longitudinal study. Am J Respir Crit Care Med 198(12):1539–1548.
   PubMed Web of Science ®Google Scholar
• Malina RM, Choh AC, Czerwinski SA, Chumlea WC. 2016. Validation of maturity offset in the Fels Longitudinal Study. Pediatr Exerc Sci 28(3):439–455.
   PubMed Web of Science ®Google Scholar
• Martin MA, Valeggia C. 2018. Timing of pubertal growth and menarche in indigenous Qom girls of Argentina. Ann Hum Biol 45(4):321–329.
   PubMed Web of Science ®Google Scholar
• Merrell M. 1931. The relationship of individual growth to average growth. Hum Biol 3(1):37.
   Google Scholar
• Moseley C. 1977. A straight-line graph for leg-length discrepancies. J Bone Joint Surg 59-A(2):174–179.
   Web of Science ®Google Scholar
• Moseley C. 1987. Leg length discrepancy. Orthopaed Clin N Am 18(4):529–535.
   PubMed Web of Science ®Google Scholar
• Nahhas RW, Valiathan M, Sherwood RJ. 2014. Variation in timing, duration, intensity, and direction of adolescent growth in the mandible, maxilla, and cranial base: the Fels Longitudinal Study. Anat Rec (Hoboken) 297(7):1195–1207.
   PubMedGoogle Scholar
• Pan H, Goldstein H. 1998. Multi-level repeated measures growth modelling using extended spline functions. Stat Med 17(23):2755–2770.
   PubMed Web of Science ®Google Scholar
• Portella DL, Arruda M, Gómez-Campos R, Portella GC, Andruske CL, Cossio-Bolaños MA. 2017. Physical growth and biological maturation of children and adolescents: proposed reference curves. Ann Nutr Metab 70(4):329–337.
   PubMed Web of Science ®Google Scholar
• Poyrazoğlu S, Günöz H, Darendeliler F, Saka N, Bundak R, Baş F. 2005. Constitutional delay of growth and puberty: from presentation to final height. J Pediatr Endocrinol Metab 18(2):171–179.
   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):1–24.
   PubMed Web of Science ®Google Scholar
• Roche AF. 1992. Growth, maturation, and body composition: the Fels Longitudinal Study 1929–1991. New York, NY: Cambridge University Press.
   Google Scholar
• Roche AW, Sun SS. 2005. Human growth: assessment and interpretation. New York, NY: Cambridge University Press.
   Google Scholar
• Royston P, Altman DG. 1994. Regression using fractional polynomials of continuous covariates: parsimonious parametric modelling. J R Stat Soc C (Appl Stat) 43(3):429–467.
   Web of Science ®Google Scholar
• Sanders J, Qiu X, Lu X, Duren D, Liu RW, Dang D, Menendez M, et al. 2017. The uniform pattern of growth and skeletal maturation during the human adolescent growth spurt. Sci Rep 7(1):16705.
   PubMed Web of Science ®Google Scholar
• Schwarz G. 1978. Estimating the dimension of a model. Ann Stat 6(2):461–464.
   Web of Science ®Google Scholar
• Siervogel RM, Roche AF, Guo SM, Mukherjee D, Chumlea WC. 1991. Patterns of change in weight/stature2 from 2 to 18 years: findings from long-term serial data for children in the Fels longitudinal growth study. Int J Obes 15(7):479–485.
   PubMed Web of Science ®Google Scholar
• Simpkin A, Sayers A, Goldstein H, Gilthorpe MS, Heron J, Tilling K. 2017. Modelling height in adolescence: a comparison of methods for estimating the age at peak height velocity. Ann Hum Biol 44(8):715–722.
   PubMed Web of Science ®Google Scholar
• Smith SL, Buschang PH. 2005. Longitudinal models of long bone growth during adolescence. Am J Hum Biol 17(6):731–745.
   PubMed Web of Science ®Google Scholar
• Spencer PR, Sanders KA, Judge DS. 2018. Growth curves and the international standard: how children’s growth reflects challenging conditions in rural Timor-Leste. Am J Phys Anthropol 165(2):286–298.
   PubMed Web of Science ®Google Scholar
• Tanner JM. 1981. Growth and maturation during adolescence. Nutr Rev 39(2):43–55.
   PubMed Web of Science ®Google Scholar
• Tilling K, Macdonald-Wallis C, Lawlor DA, Hughes RA, Howe LD. 2014. Modelling childhood growth using fractional polynomials and linear splines. Ann Nutr Metab 65(2–3):129–138.
   PubMed Web of Science ®Google Scholar
• WHO Multicentre Growth Reference Study Group, de Onis M. 2007. WHO Child Growth Standards based on length/height, weight and age: WHO Child Growth Standards. Acta Paediatr 95:76–85.
   Web of Science ®Google Scholar