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测量误差与重复测量:使用放射立体分析描述从双次检查中计算迁移测量的偏倚和精度的两种方法的指南。

Measurement Error Versus Repeated Measurements: A Guide Describing Two Methods for Computing Bias and Precision of Migration Measurements From Double Examinations Using Radiostereometric Analysis.

机构信息

Department of Biomedical Engineering, University of California, Davis, One Shields Avenue, Davis, CA 95616.

Department of Biomedical Engineering, University of California, Davis, One Shields Avenue, Davis, CA 95616; Department of Mechanical Engineering, University of California, Davis, One Shields Avenue, Davis, CA 95616; Department of Orthopaedic Surgery, University of California Davis Medical Center, 4860 Y Street, Suite 3800, Sacramento, CA 95817.

出版信息

J Biomech Eng. 2022 Jun 1;144(6). doi: 10.1115/1.4054375.

Abstract

Radiostereometric analysis is a method to measure implant migration where an ISO standard recommends double examinations (i.e., acquisition of two independent sets of biplanar images on the same day) to compute bias (i.e., mean) and precision (i.e., standard deviation) of differences in repeated migration measurements (termed repeated measurement statistics). However, repeated measurement statistics do not provide information regarding trueness of the measurements. Double examinations also can be used to compute measurement error statistics (i.e., mean and standard deviation of migration measurements relative to trueness). Our objectives were to derive measurement error and repeated measurement population parameters in six degrees of freedom (6DOF) and in maximum total point motion (MTPM), demonstrate quantitative differences by computing measurement error and repeated measurement statistics from a clinical study for an example implant, and demonstrate the importance of determining mean measurement error in MTPM. Three key findings were: (1) in 6DOF, measurement error and repeated measurement statistics were nearly identical; (2) for MTPM, measurement error and repeated measurement statistics had different means of 0.21 mm and 0.00 mm, respectively, but similar standard deviations; and (3) mean measurement error in MTPM is important for drawing conclusions about early implant stability. Because measurement error statistics are the same as repeated measurement statistics in 6DOF but provide additional information in the form of mean measurement error in MTPM, researchers should report measurement error instead of repeated measurement statistics. Furthermore, the ISO standard should be revised to include measurement error statistics.

摘要

放射立体测量分析是一种测量植入物迁移的方法,其中 ISO 标准建议进行两次检查(即在同一天获取两组独立的双平面图像),以计算重复迁移测量(即重复测量统计)中差异的偏差(即平均值)和精度(即标准差)。然而,重复测量统计并不能提供测量准确性的信息。两次检查还可以用于计算测量误差统计(即相对于准确性的迁移测量的平均值和标准差)。我们的目的是推导出在六个自由度(6DOF)和最大总点运动(MTPM)中的测量误差和重复测量群体参数,通过计算示例植入物的临床研究中的测量误差和重复测量统计数据来展示定量差异,并证明确定 MTPM 中平均测量误差的重要性。三个主要发现是:(1)在 6DOF 中,测量误差和重复测量统计数据几乎相同;(2)对于 MTPM,测量误差和重复测量统计数据的平均值分别为 0.21mm 和 0.00mm,但标准差相似;(3)MTPM 中的平均测量误差对于得出关于早期植入物稳定性的结论很重要。由于在 6DOF 中测量误差统计数据与重复测量统计数据相同,但在 MTPM 中以平均测量误差的形式提供了额外的信息,因此研究人员应该报告测量误差而不是重复测量统计数据。此外,ISO 标准应进行修订,以包含测量误差统计数据。

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