An Exploration of Link Functions Used in Ordinal Regression
Thomas J. Smith, David A. Walker, Cornelius M. McKenna
Abstract
The purpose of this study is to examine issues involved with choice of a link function in generalized linear models with ordinal outcomes, including distributional appropriateness, link specificity, and palindromic invariance are discussed and an exemplar analysis provided using the Pew Research Center 25th anniversary of the Web Omnibus Survey data. Simulated data are used to compare the relative palindromic invariance of four distinct indices of determination/discrimination, including a newly proposed index by Smith et al. (2017).
Topics & Concepts
MathematicsOrdinal dataOrdinal regressionStatisticsLink (geometry)EconometricsIndex (typography)CombinatoricsComputer scienceWorld Wide WebStatistical Methods and Bayesian InferenceAdvanced Causal Inference TechniquesAdvanced Statistical Methods and Models