应用于感官分析的贝塔回归混合模型

João César Reis Alves, Gabriel Rodrigues Palma, Idemauro Antonio Rodrigues de Lara
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引用次数: 0

摘要

感官分析是食品行业用于创新和改进产品的一个重要领域。本研究涉及的样本是经过培训或未经过培训的个人,他们可以使用享乐量表或笔记对产品进行评估,实验设计为平衡不完全区组设计。在这种情况下,将感官分析与考虑响应变量性质的有效统计方法相结合,对于实现实验研究的目标至关重要。目前已有一些分析感官数据的技术,如响应面模型或分类模型。本文建议使用贝塔回归作为比例概率模型的替代方法,以解决一些收敛问题,尤其是参数数量方面的问题。此外,贝塔分布对于异方差和不对称数据具有灵活性。为此,我们进行了模拟研究,显示了使用这两种模型进行产品选择时的一致率。此外,我们还介绍了一项动机研究,该研究旨在选择基于腰果添加到葡萄汁中的益生菌饮料。在这一应用中,贝塔回归混合模型的结果与使用比例混合模型选出的配方相吻合。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Beta regression mixed model applied to sensory analysis
Sensory analysis is an important area that the food industry can use to innovate and improve its products. This study involves a sample of individuals who can be trained or not to assess a product using a hedonic scale or notes, where the experimental design is a balanced incomplete block design. In this context, integrating sensory analysis with effective statistical methods, which consider the nature of the response variables, is essential to answer the aim of the experimental study. Some techniques are available to analyse sensory data, such as response surface models or categorical models. This article proposes using beta regression as an alternative to the proportional odds model, addressing some convergence problems, especially regarding the number of parameters. Moreover, the beta distribution is flexible for heteroscedasticity and asymmetry data. To this end, we conducted simulation studies that showed agreement rates in product selection using both models. Also, we presented a motivational study that was developed to select prebiotic drinks based on cashew nuts added to grape juice. In this application, the beta regression mixed model results corroborated with the selected formulations using the proportional mixed model.
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