小样本是否会使力量与跳跃成绩之间的相关性产生偏差?力量饱和状态下年龄和性别的多变量洞察:对1544名来自不同运动项目参与者的分析。

Do small samples bias the correlation between strength and jump performance? Multivariate insights into age and sex amidst strength saturation: an analysis of 1,544 participants from different sports.

作者信息

Keiner Michael, Warneke Konstantin, Sander Andre, Hartmann Hagen, Wagner Carl-Maximilian, Kadlubowski Björn, Wittke Andreas, Brauner Torsten, Konrad Andreas, Behm David G, Wirth Klaus

机构信息

Department of Training and Exercise Science, German University of Health & Sport, Ismaning, Germany.

Department of Movement Sciences, University of Klagenfurt, Klagenfurt am Wörthersee, Austria.

出版信息

Biol Sport. 2025 Apr;42(2):3-11. doi: 10.5114/biolsport.2025.139858. Epub 2024 Aug 30.

Abstract

Maximal strength is considered a fundamental aspect of athletic performance across a wide range of sports and is also needed for a range of activities of daily life. Yet, compared to males there are fewer publications examining females, with most showing similar coefficients of correlation between dynamic strength and different athletic performances. In both, males and females, results are biased by mostly small sample sizes (sample bias) leading to a fluctuation around the true correlation coefficient of the entire population. This crosssectional analysis involving 1544 participants employed multivariate and correlative analyses to clarify the importance of maximum strength in the parallel back squats on the jump performance controlling for variables such as type of sport, sex, age, and performance level. The analysis revealed two principal components that reflect distinct types of variability within the dataset: the first, primarily associated with performance capabilities, accounts for 58.45% of the variance, while the second, emphasizing demographic differences, accounts for a considerably lower variance of 25.08%. The correlation analyses in this study identified maximal strength as a significant factor influencing jumping performance, accounting for 48-53% of the variance in jump height. The analysis presents a saturation curve, with potential diminishing returns at higher strength levels. Age and sex had little to no effect on overall correlation coefficients. The overall correlation coefficients and the analyses for the subgroups (by sport and performance level) can differ considerably, which can be explained (mathematically) by the artificial formation of clusters, homogeneous subject groups, or small sample sizes.

摘要

最大力量被认为是广泛体育运动中运动表现的一个基本方面,也是一系列日常生活活动所必需的。然而,与男性相比,研究女性的出版物较少,大多数研究表明动态力量与不同运动表现之间的相关系数相似。在男性和女性中,结果大多受到小样本量(样本偏差)的影响,导致围绕整个人口的真实相关系数波动。这项涉及1544名参与者的横断面分析采用多变量和相关分析,以阐明在控制运动类型、性别、年龄和表现水平等变量的情况下,平行背蹲中的最大力量对跳跃表现的重要性。分析揭示了两个主要成分,它们反映了数据集中不同类型的变异性:第一个主要与表现能力相关,占方差的58.45%,而第二个强调人口统计学差异,占方差的比例要低得多,为25.08%。本研究中的相关分析确定最大力量是影响跳跃表现的一个重要因素,占跳跃高度方差的48 - 53%。分析呈现出一条饱和曲线,在较高力量水平下可能存在收益递减。年龄和性别对总体相关系数几乎没有影响。总体相关系数以及亚组(按运动和表现水平划分)的分析可能会有很大差异,这可以(从数学上)通过人工形成的聚类、同质受试者组或小样本量来解释。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b765/11963136/bbbfd0d87744/JBS-42-54171-g001.jpg

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