Shahid Chamran University of AhvazJournal of Advanced Mathematical Modeling2251-80887120170823Augmented Mixed Beta Regression and Modeling of Employed Proportions in HouseholdsAugmented Mixed Beta Regression and Modeling of Employed Proportions in Households19361310210.22055/jamm.2017.13102FAZohrehFallah MohsenkhaniDepartment of Statistics, Tarbiat Modares UniversityMohsenMohammadzadehDepartment of Statistics, Tarbiat Modares University, Tehran, Iran0000-0002-2361-6145Journal Article20151216The Beta regression model is usually used for modeling the rates or proportions confined in an open interval (0,1). In some studies, the data may also include zero and one. In this paper, an augmented Beta regression model that is a mixture of Beta distribution with two degenerated distributions at 0 and 1 is presented for rates or proportions confined in [0,1]. For the augmented mixed Beta model with reparametrization of Beta distribution, the mean and precision parameters were modeled including fixed and random effects. This is while taking into account that the random effects make these models applicable to correlated data. Here, the augmented mixed Beta model is presented. Then this model is evaluated in a simulation study. Next, the application of this model is shown for analyzing the proportions of employed persons in every household. Finally, conclusion and results are presented.The Beta regression model is usually used for modeling the rates or proportions confined in an open interval (0,1). In some studies, the data may also include zero and one. In this paper, an augmented Beta regression model that is a mixture of Beta distribution with two degenerated distributions at 0 and 1 is presented for rates or proportions confined in [0,1]. For the augmented mixed Beta model with reparametrization of Beta distribution, the mean and precision parameters were modeled including fixed and random effects. This is while taking into account that the random effects make these models applicable to correlated data. Here, the augmented mixed Beta model is presented. Then this model is evaluated in a simulation study. Next, the application of this model is shown for analyzing the proportions of employed persons in every household. Finally, conclusion and results are presented.https://jamm.scu.ac.ir/article_13102_ae9d185d573117753e9661309f2ede54.pdf