João César Reis Alves, Gabriel Rodrigues Palma, Idemauro Antonio Rodrigues de Lara
{"title":"应用于感官分析的贝塔回归混合模型","authors":"João César Reis Alves, Gabriel Rodrigues Palma, Idemauro Antonio Rodrigues de Lara","doi":"arxiv-2408.03240","DOIUrl":null,"url":null,"abstract":"Sensory analysis is an important area that the food industry can use to\ninnovate and improve its products. This study involves a sample of individuals\nwho can be trained or not to assess a product using a hedonic scale or notes,\nwhere the experimental design is a balanced incomplete block design. In this\ncontext, integrating sensory analysis with effective statistical methods, which\nconsider the nature of the response variables, is essential to answer the aim\nof the experimental study. Some techniques are available to analyse sensory\ndata, such as response surface models or categorical models. This article\nproposes using beta regression as an alternative to the proportional odds\nmodel, addressing some convergence problems, especially regarding the number of\nparameters. Moreover, the beta distribution is flexible for heteroscedasticity\nand asymmetry data. To this end, we conducted simulation studies that showed\nagreement rates in product selection using both models. Also, we presented a\nmotivational study that was developed to select prebiotic drinks based on\ncashew nuts added to grape juice. In this application, the beta regression\nmixed model results corroborated with the selected formulations using the\nproportional mixed model.","PeriodicalId":501266,"journal":{"name":"arXiv - QuanBio - Quantitative Methods","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Beta regression mixed model applied to sensory analysis\",\"authors\":\"João César Reis Alves, Gabriel Rodrigues Palma, Idemauro Antonio Rodrigues de Lara\",\"doi\":\"arxiv-2408.03240\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Sensory analysis is an important area that the food industry can use to\\ninnovate and improve its products. This study involves a sample of individuals\\nwho can be trained or not to assess a product using a hedonic scale or notes,\\nwhere the experimental design is a balanced incomplete block design. In this\\ncontext, integrating sensory analysis with effective statistical methods, which\\nconsider the nature of the response variables, is essential to answer the aim\\nof the experimental study. Some techniques are available to analyse sensory\\ndata, such as response surface models or categorical models. This article\\nproposes using beta regression as an alternative to the proportional odds\\nmodel, addressing some convergence problems, especially regarding the number of\\nparameters. Moreover, the beta distribution is flexible for heteroscedasticity\\nand asymmetry data. To this end, we conducted simulation studies that showed\\nagreement rates in product selection using both models. Also, we presented a\\nmotivational study that was developed to select prebiotic drinks based on\\ncashew nuts added to grape juice. In this application, the beta regression\\nmixed model results corroborated with the selected formulations using the\\nproportional mixed model.\",\"PeriodicalId\":501266,\"journal\":{\"name\":\"arXiv - QuanBio - Quantitative Methods\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - QuanBio - Quantitative Methods\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.03240\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - QuanBio - Quantitative Methods","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.03240","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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.