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Copula-Based Redundancy Analysis

Ji Yeh Choi¹, Juwon Seo²

¹Department of Psychology, York University, Toronto, ON, Canada.

Multivariate Behavioral Research

|July 26, 2021

Abstract:

Extended Redundancy Analysis (ERA) has recently been developed and widely applied to investigate component regression models. In this paper, we propose Copula-based Redundancy Analysis (CRA) to improve the performance of regression-based ERA. Our simulation results indicate that CRA is significantly superior to the regression-based ERA. We also discuss how to modify CRA to accommodate models with discrete, censored, truncated outcome variables, or a combination thereof, where ERA cannot be employed. For applications, we provide two empirical analyses: one on academic achievement and one on drug use and health.

Keywords:

Component regression copula extended redundancy analysis

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