Abstract

Background

Estimates pertaining to the timing of the adolescent growth spurt (e.g. peak height velocity; PHV), including age at peak height velocity (aPHV), play a critical role in the diagnosis, treatment, and management of skeletal growth and/or developmental disorders. Yet, distinct statistical methodologies often result in large estimate discrepancies.

Aim

The aim of the present study was to assess the advantages and disadvantages of three modelling methodologies for height as well as to determine how estimates derived from these methodologies may differ, particularly those that may be useful in paediatric clinical practice.

Subjects and methods

Height data from 686 individuals of the Fels Longitudinal Study were modelled using 5th order polynomials, natural cubic splines, and SuperImposition by Translation and Rotation (SITAR) to determine aPHV and PHV for all individuals together (i.e. population average) by sex and separately for each individual. Estimates within and between methodologies were calculated and compared.

Results

In general, mean aPHV was earlier, and PHV was greater for individuals when compared to estimates from population average models. Significant differences between mean aPHV and PHV for individuals were observed in all three methodologies, with SITAR exhibiting the latest aPHV and largest PHV estimates.

Conclusion

Each statistical methodology has a number of advantages when used for specific purposes. For modelling growth in individuals, as one would in paediatric clinical practice, we recommend the use of the 5th order polynomial methodology due to its parameter flexibility.

中文翻译：

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估计个体的峰值高度速度：统计方法的比较。

摘要

背景

有关青少年生长突增时间的估计（例如身高峰值速度；PHV），包括峰值身高速度年龄（aPHV），在骨骼生长和/或发育障碍的诊断、治疗和管理中发挥着关键作用。然而，不同的统计方法常常会导致巨大的估计差异。

目的

本研究的目的是评估三种身高建模方法的优缺点，并确定这些方法得出的估计值有何不同，特别是那些可能在儿科临床实践中有用的方法。

主题和方法

Fels 纵向研究的 686 名个体的身高数据使用五阶多项式、自然三次样条以及平移和旋转叠加 (SITAR) 进行建模，以确定所有个体按性别共同确定的 aPHV 和 PHV（即总体平均值），以及单独确定每个个体的 aPHV 和 PHV。个人。计算并比较了方法内部和方法之间的估计值。

结果

一般来说，与人口平均模型的估计值相比，个体的平均 aPHV 更早，并且 PHV 更大。在所有三种方法中都观察到个体平均 aPHV 和 PHV 之间存在显着差异，SITAR 展示了最新的 aPHV 和最大 PHV 估计值。

结论

每种统计方法在用于特定目的时都有许多优点。为了模拟个体的生长，就像在儿科临床实践中一样，我们建议使用五阶多项式方法，因为它的参数灵活性。