Saarland University, Institute of Sports and Preventive Medicine, Saarbruecken, Germany.
Saarland University, Chair for Quantitative Methods and Statistics, Saarbruecken, Germany.
Sci Med Footb. 2022 Aug;6(3):389-397. doi: 10.1080/24733938.2021.1978106. Epub 2021 Sep 14.
In football research, 'small' trials with low statistical power are common. On the elite level, the inherently low number of participants obviously conflicts with the relevance of even tiny effects. However, general characteristics of football also contribute (e.g. multifactorially influenced and/or complex outcomes). Importantly, small sample sizes are problematic regardless of the study outcome with issues ranging from inconclusive results and low precision to unrepeatable 'discoveries' and overestimation of effect sizes. Therefore, meeting the calculated, target sample size is the first priority. If a suboptimal sample size must be accepted, a range of tools can improve insights. To begin with, some general aspects of data collection and analysis become more important and should be optimally implemented (e.g. reliability of measures). Building on this foundation, specific amendments are available on the levels of data collection (e.g. aggregated single-subject designs) and data analysis (e.g. Bayesian methods). The present commentary aims to give an overview of selected, practical tools for dealing with small sample sizes in football research and provide recommendations for their application in scenarios typical for the field. Importantly, versatility and adaptability are mirrored by the need for utmost transparency including a predetermined (ideally preregistered) study plan. Collaboration or counselling with an expert statistician is strongly encouraged.
在足球研究中,“小型”试验且统计效能低的情况很常见。在精英层面,参与者数量本身较低,显然与即使是微小效应的相关性相冲突。然而,足球的一般特征也有影响(例如,多因素影响和/或复杂的结果)。重要的是,无论研究结果如何,小样本量都是有问题的,其问题范围从结果不确定、精度低到不可重复的“发现”和对效应大小的高估。因此,满足计算得出的目标样本量是首要任务。如果必须接受不理想的样本量,则可以使用一系列工具来提高见解。首先,数据收集和分析的一些一般方面变得更加重要,应进行优化实施(例如,措施的可靠性)。在此基础上,在数据收集(例如聚合单个人体设计)和数据分析(例如贝叶斯方法)层面上,可以进行具体的修正。本评论旨在概述足球研究中处理小样本量的一些实用工具,并为在该领域典型情况下应用这些工具提供建议。重要的是,多功能性和适应性反映了需要最大程度的透明度,包括预定的(理想情况下预先注册的)研究计划。强烈鼓励与统计专家进行合作或咨询。