The State of the Art in Flexible Regression Models for Univariate Bounded Responses

Modeling bounded continuous responses, such as proportions and rates, is a relevant problem in methodological and applied statistics. This chapter provides a comprehensive review of these models and to briefly describe the FlexReg package, a newly available tool on Comprehensive R Archive Network that offers an efficient and easy to use implementation of regression models for bounded responses. Two real data applications are performed to show the relevance of correctly modeling the bounded response and to make comparisons between models. The chapter reviews the state of the art in flexible regression models for univariate bounded responses. Proportions, rates, or, more generally, phenomena defined on a restricted support often play the role of dependent variable in a regression framework. The "Stress" dataset, available from the FlexReg package, concerns a sample of non clinical women.