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FELS骨骼成熟度评估方法所依据的统计方法的更新

An update of the statistical methods underlying the FELS method of skeletal maturity assessment.

作者信息

Nahhas Ramzi W, Sherwood Richard J, Chumlea Wm Cameron, Duren Dana L

机构信息

Division of Morphological Sciences and Biostatistics, Lifespan Health Research Center, Department of Community Health and.

出版信息

Ann Hum Biol. 2013 Nov-Dec;40(6):505-14. doi: 10.3109/03014460.2013.806591. Epub 2013 Sep 2.

Abstract

BACKGROUND

Evaluation of skeletal maturity provides clinicians and researchers a window into the developmental progress of the skeleton. The FELS method for maturity assessment provides a point estimate and standard error based on 98 skeletal indicators.

AIM

This paper outlines the statistical methodology used by the original FELS method and evaluates improvements that address the following: serial correlation in the calibration sample is now considered, a Bayesian estimation method is now employed to improve estimation near ages 0 and 18 years and uncertainty in the calibration due to sampling is now accounted for when computing confidence limits.

SUBJECTS AND METHODS

The original FELS method was calibrated using 677 Fels Longitudinal Study participants. In the improved method, serial correlation is accounted for using GEE, a Bayesian analysis with a prior centred on chronological age is used and the bootstrap is used to account for all sources of variation.

RESULTS

Accounting for serial correlation resulted in larger slopes for ordinal indicators. The Bayesian paradigm led to narrower confidence limits and a natural interpretation of skeletal age. Sampling variability in the calibration parameters was negligible.

CONCLUSION

Improvements to the statistical basis of the FELS method provide a more effective method of estimating skeletal maturity.

摘要

背景

骨骼成熟度评估为临床医生和研究人员提供了一扇了解骨骼发育进程的窗口。用于成熟度评估的FELS方法基于98个骨骼指标提供一个点估计值和标准误差。

目的

本文概述了原始FELS方法所使用的统计方法,并评估了针对以下方面的改进:现在考虑了校准样本中的序列相关性,现在采用贝叶斯估计方法来改进0岁和18岁附近的估计,并且在计算置信限时考虑了由于抽样导致的校准不确定性。

对象和方法

原始FELS方法使用677名费尔斯纵向研究参与者进行校准。在改进方法中,使用广义估计方程(GEE)来考虑序列相关性,采用以实足年龄为中心的先验进行贝叶斯分析,并使用自助法来考虑所有变异来源。

结果

考虑序列相关性导致有序指标的斜率更大。贝叶斯范式导致置信限更窄,并对骨骼年龄有自然的解释。校准参数中的抽样变异性可忽略不计。

结论

FELS方法统计基础的改进提供了一种更有效的估计骨骼成熟度的方法。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/1ca3/4013782/4d1fb122d0a8/nihms-565304-f0001.jpg

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