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对从左右肢体收集的数据进行分析:在肌肉骨骼研究中考虑相关性并提高统计效率。

Analysis of data collected from right and left limbs: Accounting for dependence and improving statistical efficiency in musculoskeletal research.

作者信息

Stewart Sarah, Pearson Janet, Rome Keith, Dalbeth Nicola, Vandal Alain C

机构信息

Department of Podiatry, Health & Rehabilitation Research Institute, Auckland University of Technology, Private Bag 92006, Auckland 1142, New Zealand.

Department of Biostatistics & Epidemiology, Faculty of Health and Environmental Sciences, Auckland University of Technology, Private Bag 92006, Auckland 1142, New Zealand.

出版信息

Gait Posture. 2018 Jan;59:182-187. doi: 10.1016/j.gaitpost.2017.10.018. Epub 2017 Oct 16.

Abstract

OBJECTIVES

Statistical techniques currently used in musculoskeletal research often inefficiently account for paired-limb measurements or the relationship between measurements taken from multiple regions within limbs. This study compared three commonly used analysis methods with a mixed-models approach that appropriately accounted for the association between limbs, regions, and trials and that utilised all information available from repeated trials.

METHOD

Four analysis were applied to an existing data set containing plantar pressure data, which was collected for seven masked regions on right and left feet, over three trials, across three participant groups. Methods 1-3 averaged data over trials and analysed right foot data (Method 1), data from a randomly selected foot (Method 2), and averaged right and left foot data (Method 3). Method 4 used all available data in a mixed-effects regression that accounted for repeated measures taken for each foot, foot region and trial. Confidence interval widths for the mean differences between groups for each foot region were used as a criterion for comparison of statistical efficiency.

RESULTS

Mean differences in pressure between groups were similar across methods for each foot region, while the confidence interval widths were consistently smaller for Method 4. Method 4 also revealed significant between-group differences that were not detected by Methods 1-3.

CONCLUSION

A mixed effects linear model approach generates improved efficiency and power by producing more precise estimates compared to alternative approaches that discard information in the process of accounting for paired-limb measurements. This approach is recommended in generating more clinically sound and statistically efficient research outputs.

摘要

目的

目前在肌肉骨骼研究中使用的统计技术常常无法有效地处理成对肢体测量数据,或者无法处理从肢体多个区域获取的测量数据之间的关系。本研究将三种常用分析方法与一种混合模型方法进行了比较,该混合模型方法能恰当地考虑肢体、区域和试验之间的关联,并利用重复试验中所有可用的信息。

方法

对一个现有的包含足底压力数据的数据集应用了四种分析方法,该数据集是在三个试验中针对三个参与者组的左右脚的七个隐蔽区域收集的。方法1 - 3对试验数据求平均值,并分析右脚数据(方法1)、随机选择的一只脚的数据(方法2)以及左右脚数据的平均值(方法3)。方法4在混合效应回归中使用所有可用数据,该回归考虑了每只脚、脚部区域和试验的重复测量。每个脚部区域组间平均差异的置信区间宽度被用作统计效率比较的标准。

结果

对于每个脚部区域,各方法之间组间压力的平均差异相似,而方法4的置信区间宽度始终较小。方法4还揭示了方法1 - 3未检测到的显著组间差异。

结论

与在处理成对肢体测量过程中丢弃信息的替代方法相比,混合效应线性模型方法通过产生更精确的估计值提高了效率和效能。建议采用这种方法来产生更具临床合理性和统计效率的研究成果。

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