Abstract
When the response variable is defined on the (0,1) interval, the beta and simplex regression models are commonly used by researchers. However, there is no software support for these models to make their implementation easy for researchers. In this study, we developed a web-tool, named SimBetaReg, to help researchers who are not familiar with programming to implement the beta and simplex regression models. The developed application is free and works independently from the operating systems. Additionally, we model the incidence ratios of COVID-19 with educational and civic engagement indicators of the OECD countries using the SimBetaReg web-tool. Empirical findings show that when the educational attainment, years in education, and voter turnout increase, the incidence ratios of the countries decrease.
Highlights
Based on the calculated Akaike Information Criteria (AIC) and Bayesian Information Criteria (BIC) values of the fitted regression model, we conclude that the beta regression model exhibits better modeling ability than the simplex regression model since it has the lowest values of these measures compared with those of the simplex regression model
We developed a cloud-based web-tool using the R Shiny platform
The parameter estimates, residual analysis, and likelihood ratio tests with pseudo-R-squared values of the beta and simplex regression models are obtained by the SimBetaReg web-tool
Summary
The second model is the simplex regression, introduced by Kieschnick and McCullough [14], which was extensively studied by Song and Tan [15], Song et al [16], and Qiu et al [17] These models have gained attention from researchers, and several generalizations and alternative models of the beta and simplex distributions have been proposed. In the light of the given explanations, the first goal of the presented study is to develop a cloud-based web-tool for the application of the beta and simplex regression models to increase their usage by researchers. Thanks to the developed application, researchers can use the beta and simplex regression models without requiring any software knowledge. In. Section 3, COVID-19 incidence ratio of the OECD countries is modeled with educational and civic engagement indicators by applying the beta and simplex regression models.
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