Smoothing reference centile curves: The lms method and penalized likelihood

1992/01/01 by Tim Cole, T. J. Cole, P. J. Green · 15 citations
Mathematics · Medicine · Decision Sciences · #Advanced Statistical Methods and Models #Body Composition Measurement Techniques #Reliability and Agreement in Measurement

paper · doi:10.1002/sim.4780111005

Abstract

Refence 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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