Abstract
Lambda-Mu-Sigma and Box-Cox Power Exponential are popular methods for constructing centile curves but are difficult to understand for medical professionals. As a result, the methods are used by experts only. Non-experts use software as a blackbox that can lead to wrong curves. This article explains these methods in a simple non-mathematical language so that medical professionals can use them correctly and confidently.
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References
Cole TJ, Green PJ. Smoothing reference centile curves: the LMS method and penalized likelihood. Stat Med. 1992;11:1305–1319.
Rigby RA, Stasinopoulos DM. Smooth centile curves for skew and kurtotic data modelled using the Box-Cox power exponential distribution. Stat Med. 2004;23:3053–3076.
WHO Multicentre Growth Reference Study Group. WHO Child Growth Standards based on length/height, weight and age. Acta Paediatr Suppl. 2006;450:76–85.
de Onis M, Onyango AW, Borghi E, Siyam A, Nishida C, Siekmann J. Development of a WHO growth reference for school-aged children and adolescents. Bull World Health Organ. 2007;85:660–667.
Zhang SY, Liu LJ, Han YS, Liu G, Ma ZG, Shen XZ, et al. [Reference values of differences between TW3-C RUS and TW3-C Carpal bone ages of children from five cities of China]. Zhonghua Er Ke Za Zhi. 2008;46:851–855.
Wallace JM, Bhattacharya S, Horgan GW. Gestational age, gender and parity specific centile charts for placental weight for singleton deliveries in Aberdeen, UK. Placenta. 2013;34:269–274.
Voges I, Jerosch-Herold M, Hedderich J, Pardun E, Hart C, Gabbert DD, et al. Normal values of aortic dimensions, distensibility, and pulse wave velocity in children and young adults: a cross-sectional study. J Cardiovasc Magn Reson. 2012;14:77.
WHO Child Growth Standards: Methods and Development: Head circumference-for-age, Arm circumference-for-age, Triceps skinfold-for-age and Subscapular skinfold-for-age. World Health Organization, 2007 Available from: http://www.who.int/childgrowth/standards/second_set/technical_report_2/en/. Accessed November 11, 2013.
Indrayan A. Medical Biostatistics, Third Edition. CRC Press, 2012.
Borghi E, de Onis M, Garza C, Van den Broeck J, Frongillo EA, Grummer-Strawn L, et al. WHO Multicentre Growth Reference Study Group. Construction of the World Health Organization child growth standards: selection of methods for attained growth curves. Stat Med. 2006;25:247–265.
Nepal: Demographic and Health Survey 2011. Population Division, Ministry of Health and Population, Government of Nepal, Kathmandu, Nepal, March 2012. Available from: http://www.measuredhs.com/publications/publication-FR257-DHS-Final-Reports.cfm. Accessed November 11, 2013.
Cole TJ. The LMS method for constructing normalized growth standards. Eur J Clin Nutr. 1990;44:45–60.
Stasinopoulos DM, Rigby RA. Generalized additive models for location, scale and shape (GAMLSS) in R. J Statistical Software. 2007:23:1–46.
Royston P, Wright EM. Goodness-of-fit statistics for agespecific reference intervals. Stat Med. 2000;19:2943–2962.
Pan H, Cole TJ. A comparison of goodness of fit tests for age-related reference ranges. Stat Med. 2004;23:1749–1765.
van Buuren S, Fredriks M. Worm plot: a simple diagnostic device for modelling growth reference curves. Stat Med. 2001;20:1259–1277.
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Indrayan, A. Demystifying LMS and BCPE methods of centile estimation for growth and other health parameters. Indian Pediatr 51, 37–43 (2014). https://doi.org/10.1007/s13312-014-0310-6
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DOI: https://doi.org/10.1007/s13312-014-0310-6