A collection of parametric modal regression models for bounded data

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 varia...

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Bibliographic Details
Published in:Journal of biopharmaceutical statistics 2021-07, Vol.31 (4), p.490-506
Main Authors: Menezes, André F. B., Mazucheli, Josmar, Chakraborty, Subrata
Format: Article
Language:English
Subjects:
Beta distribution
Kumaraswamy distribution
Parametric modal regression
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Summary: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.
ISSN:1054-3406
1520-5711
DOI:10.1080/10543406.2021.1918141