Parametric mode regression for bounded responses. Issue 7 (22nd June 2020)

• Record Type: Journal Article
• Authors: Zhou, Haiming; Huang, Xianzheng
• Is Part Of: Biometrical journal. Volume 62:Issue 7(2020:Nov.)
• Page Start: 1791
• Page End: 1809
• Publication Date: 2020-06-22
• Subjects: beta distribution -- generalized biparabolic distribution -- linear predictor -- link function -- maximum likelihood; Biometry -- Periodicals; Medical statistics -- Periodicals; 570.15195
• DOI: 10.1002/bimj.202000039
• Languages: English
• ISSNs: 0323-3847

Abstract

Abstract: We propose new parametric frameworks of regression analysis with the conditional mode of a bounded response as the focal point of interest. Covariate effects estimation and prediction based on the maximum likelihood method under two new classes of regression models are demonstrated. We also develop graphical and numerical diagnostic tools to detect various sources of model misspecification. Predictions based on different central tendency measures inferred using various regression models are compared using synthetic data in simulations. Finally, we conduct regression analysis for data from the Alzheimer's Disease Neuroimaging Initiative to demonstrate practical implementation of the proposed methods. Supporting Information that contain technical details and additional simulation and data analysis results are available online.