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Modified z-scores in the CDC growth charts

The CDC growth charts contain ten smoothed percentile (between the 3 and 97) of BMI for 24 to 240 month-old children and adolescents [3]. These smoothed estimates were then used to derive lambda (L, the power transformation to achieve normality), mu (M, mean or median), and sigma (S, coefficient of variation) parameters for Cole's LMS method [4,5]. Estimates of these 3 parameters allow the BMI of any children to be expressed as a z-score (BMIz) and percentile relative to children of the same sex and age in the CDC growth charts.