Abstract
In medical diagnostics age-specific reference values are needed for assessing the health status of children. However, for many clinical parameters such as blood cholesterol or insulin reference curves are still missing for children. To fill this gap, the IDEFICS study provides an excellent data base with 18,745 children aged 2.0–10.9 years. The generalised additive model for location, scale and shape (GAMLSS) was used to derive such reference curves while controlling for the influence of various covariates on the parameters of interest. GAMLSS, an extension of the LMS method, is able to model the influence of more than one covariate. It is also able to model the kurtosis using different distributions. The Bayesian information criterion (BIC), Q-Q plots and wormplots were applied to assess the goodness of fit of alternative models. GAMLSS has proven to be a useful tool to model the influence of more than one covariate when deriving age- and sex-specific percentile curves for clinical parameters in children. This will be demonstrated exemplarily for the bone stiffness index (SI) where age- and height-specific percentile curves were calculated for boys and girls based on the model which showed the best goodness of fit.
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References
Ahrens, W., Bammann, K., Siani, A., Buchecker, K., De Henauw, S., Iacoviello, L., et al. (2011). The IDEFICS cohort: Design, characteristics and participation in the baseline survey. International Journal of Obesity, 35(Suppl 1), S3–S15.
Ahrens, W., Moreno, L., & Pigeot, I. (2014). Filling the gap: International reference values for health care in children. International Journal of Obesity, 38, S2–S3.
Borghi, E., De Onis, M., Garza, C., Van Den Broeck, J., Frongillo, E.A., Grummer-Strawn, L., et al. (2006). Construction of the World Health Organization child growth standards: Selection of methods for attained growth curves. Statistics in Medicine, 25, 247–265.
Cole, T. J., & Green, P. J. (1992). Smoothing reference centile curves: The LMS method and penalized likelihood. Statistics in Medicine, 11, 1305–1319.
Cole, T. J., & Lobstein, T. (2012). Extended international (IOTF) body mass index cut-offs for thinness, overweight and obesity. Pediatric Obesity, 7, 284–294.
Cole, T. J., Stanojevic, S., Stocks, J., Coates, A.L., Hankinson, J. L., & Wade, A. M. (2009). Age- and size-related reference ranges: A case study of spirometry through childhood and adulthood. Statistics in Medicine, 28, 880–898.
Herrmann, D., Intemann, T., Lauria, F., Mårild, S., Molnár, D., Moreno, L. A., et al. (2014). Reference values of bone stiffness index and C-terminal telopeptide in healthy European children. International Journal of Obesity, 38, S76–S85.
Jaworski, M., Lebiedowski, M., Lorenc, R. S., & Trempe, J. (1995). Ultrasound bone measurement in pediatric subjects. Calcified Tissue International, 56, 368–371.
Krieg, M. A., Cornuz, J., Ruffieux C., Van Melle, G., Büche, D., Dambacher, M. A., et al. (2006). Prediction of hip fracture risk by quantitative ultrasound in more than 7000 Swiss women ≥ 70 years of age: Comparison of three technologically different bone ultrasound devices in the SEMOF study. Journal of Bone and Mineral Research, 21, 1457–1463.
Maggi, S., Noale, M., Giannini, S., Adami, S., Defeo, D., Isaia, G., et al. (2006). Quantitative heel ultrasound in a population-based study in Italy and its relationship with fracture history: The ESOPO study. Osteoporosis International, 17, 237–244.
R Core Team. (2013). R: A language and environment for statistical computing. Vienna: R Foundation for Statistical Computing. http://www.R-project.org/
Rigby, R. A., & Stasinopoulos, D. M. (2004). Smooth centile curves for skew and kurtotic data modelled using the Box-Cox power exponential distribution. Statistics in Medicine, 23, 3053–3076.
Rigby, R. A., & Stasinopoulos, D. M. (2005). Generalized additive models for location scale and shape. Journal of the Royal Statistical Society: Series C (Applied Statistics), 54, 507–554.
van Buuren, S., & Fredriks, M. (2001). Worm plot: A simple diagnostic device for modelling growth reference curves. Statistics in Medicine, 20, 1259–1277.
Acknowledgements
This work was done as part of the IDEFICS study (www.idefics.eu). We gratefully acknowledge the financial support of the European community within the Sixth RTD Framework Programme Contract No. 016181 (FOOD).
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Intemann, T., Pohlabeln, H., Ahrens, D.H.W., Pigeot, I. (2016). Estimating Age- and Height-Specific Percentile Curves for Children Using GAMLSS in the IDEFICS Study. In: Wilhelm, A., Kestler, H. (eds) Analysis of Large and Complex Data. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Cham. https://doi.org/10.1007/978-3-319-25226-1_33
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DOI: https://doi.org/10.1007/978-3-319-25226-1_33
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