Departamento De Estatística, Universidade Estadual De Campinas, Campinas, Brasil.
Departamento De Estatística, Universidade Estadual De Maringá, Maringá, Brasil.
J Biopharm Stat. 2021 Jul 4;31(4):490-506. doi: 10.1080/10543406.2021.1918141. Epub 2021 May 29.
Modal regression is an alternative approach for investigating the relationship between the most likely response and covariates and can hence reveal important structure missed by usual regression methods. This paper provides a collection of parametric mode regression models for bounded response variable by considering some recently introduced probability distributions with bounded support along with the well-established Beta and Kumaraswamy distribution. The main properties of the distributions are highlighted and compared. An empirical comparison between the considered modal regression is demonstrated through the analysis of three data sets from health and social science. For reproducible research, the proposed models are freely available to users as an R package unitModalReg.
模态回归是一种用于研究最可能的响应和协变量之间关系的替代方法，因此可以揭示通常回归方法错过的重要结构。本文通过考虑一些最近引入的具有有界支撑的概率分布以及成熟的 Beta 和 Kumaraswamy 分布，为有界响应变量提供了一系列参数模态回归模型。本文突出并比较了分布的主要性质。通过对来自健康和社会科学的三个数据集的分析，展示了所考虑的模态回归之间的实证比较。为了可重复的研究，所提出的模型作为 R 包 unitModalReg 免费提供给用户。
