Forward and Backward Continuation Ratio Models for Ordinal Response Variables

• In Event: 53.067 - Statistical Research in the Contexts of Parametric Assumption Violations, Simulation, Structural Equation Modeling, and Ordinal or Nominal Data Analyses

Abstract

Although different types of continuation ratio (CR) models for ordinal response variables exist in the literature, they are all called CR models. Applied researchers and practitioners are easily confused with the different model equations, corresponding parameterizations, and nonequivalent results. However, there are no publications specifically to address this issue. The purpose of this paper is to meet the needs of using the forward and backward CR models to estimate educational data by introducing how to implement the essential models through Stata programming, compare the results of these models, and therefore to help researchers to familiarize with different types of the CR models.

Authors

• Xing Liu, Eastern Connecticut State University

• Haiyan Bai, University of Central Florida

• Hari P. Koirala, Eastern Connecticut State University