Department of Statistics, Federal University of Vicosa, Viçosa, State of Minas Gerais, Brazil.
Department of General Biology, Universidade Federal de Vicosa, Viçosa, State of Minas Gerais, Brazil.
F1000Res. 2024 Jul 12;13:459. doi: 10.12688/f1000research.144805.2. eCollection 2024.
In statistical analyses, a common practice for enhancing the validity of variance analysis is the application of data transformation to convert measurements into a different mathematical scale. This technique was first employed in 1898 by Edgeworth and remains relevant in current scientific publications despite the proliferation of more modern and advanced techniques that obviate the need for certain assumptions. Data transformations, when appropriately used, can make the model error terms approximate a normal distribution. It is also possible to use the technique to correct the heterogeneity of variances or to render an additive model, ensuring the validity of the analysis of variances. Given that this technique can be hastily applied, potentially leading to erroneous or invalid results, we conducted a systematic literature review of studies in the field of agrarian sciences that utilized data transformations for the validation of analysis of variances. The aim was to check the transformations employed by the scientific community, the motivation behind their use, and to identify possible errors and inconsistencies in applying the technique in publications. In this study, we identified shortcomings and misconceptions associated with using this method, and we observed incomplete and inadequate utilization of the technique in of the analysed sample, resulting in misguided and erroneous conclusions in scientific research outcomes.
在统计分析中,增强方差分析有效性的常用方法是应用数据转换,将测量值转换为不同的数学尺度。这一技术最早由 Edgeworth 于 1898 年提出,尽管目前有更多现代和先进的技术可以避免某些假设,但它在当前的科学出版物中仍然具有重要意义。适当使用数据转换可以使模型误差项近似正态分布。也可以使用该技术来纠正方差的异质性或使加性模型生效,从而确保方差分析的有效性。由于该技术可能被仓促应用,从而导致错误或无效的结果,因此我们对农业科学领域中利用数据转换验证方差分析的研究进行了系统的文献回顾。目的是检查科学界使用的转换方法、使用它们的动机,并确定在出版物中应用该技术可能存在的错误和不一致之处。在这项研究中,我们发现了与使用该方法相关的缺点和误解,并观察到分析样本中存在数据转换方法使用不完整和不充分的情况,导致科学研究结果产生误导性和错误性的结论。