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Smoothing reference centile curves: The lms method and penalized likelihood
Abstract
Reference centile curves show the distribution of a measurement as it changes according to some covariate, often age. The LMS method summarizes the changing distribution by three curves representing the median, coefficient of variation and skewness, the latter expressed as a Box‐Cox power. Using penalized likelihood the three curves can be fitted as cubic splines by non‐linear regression, and the extent of smoothing required can be expressed in terms of smoothing parameters or equivalent degrees of freedom. The method is illustrated with data on triceps skinfold in Gambian girls and women, and body weight in U.S.A. girls.
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Citations
Cites
Some aspects of the spline smoothing approach to non-parametric regression curve fitting
Silverman, B. W. (1985) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1985.tb01327.x · Cited by 1,117
Cited by
Development of a WHO growth reference for school-aged children and adolescents
de Onis, M. (2007) · Bulletin of the World Health Organization · doi:10.2471/blt.07.043497 · Cited by 8,826
Generalized additive models for location, scale and shape.
Rigby, R. A., & Stasinopoulos, D. M. (2005) · Journal of the Royal Statistical Society Series C: Applied Statistics · doi:10.1111/j.1467-9876.2005.00510.x · Cited by 3,228
Villar, J., Ismail, L. C., Victora, C. G., Ohuma, E. O., Bertino, E., Altman, D. G., Lambert, A., Papageorghiou, A. T., Carvalho, M., Jaffer, Y. A., et al. (2014) · The Lancet · doi:10.1016/s0140-6736(14)60932-6 · Cited by 2,281
The worldwide obesity epidemic
James, P. T., Leach, R., Kalamara, E., & Shayeghi, M. (2001) · Obesity Research · doi:10.1038/oby.2001.123 · Cited by 1,201
Norbury, C. F., Gooch, D., Wray, C., Baird, G., Charman, T., Simonoff, E., Vamvakas, G., & Pickles, A. (2016) · Journal of Child Psychology and Psychiatry · doi:10.1111/jcpp.12573 · Cited by 1,088
Metadata
- Authors
- Cole, T. J., & Green, P. J.
- Venue
- Statistics in Medicine
- Publisher
- Wiley
- Published
- 1992-01
- Volume
- 11
- Issue
- 10
- Pages
- 1305-1319
- ISSN
- 0277-6715 (ISSN-L)
- 1097-0258
- OpenAlex
- W2136326182
- Cited by
- 2,781
- References
- 1
- FWCI
- 8.72
- Type
- journal article
- Language
- en
- Open access
- closed
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- Cole, T. J., & Green, P. J. (1992). Smoothing reference centile curves: The lms method and penalized likelihood. Statistics in Medicine. https://doi.org/10.1002/sim.4780111005
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.