An Extension of the MIRID Model for Polytomous Responses

Lee, Yongsang

doi:10.29221/jce.2012.15.1.321

J. Curric. Eval. 2012; 15(1):321-345

pISSN: 1229-1544

DOI: https://doi.org/10.29221/jce.2012.15.1.321

Article

An Extension of the MIRID Model for Polytomous Responses

Yongsang Lee ¹ ^, ^†

Author Information & Copyright ▼

¹Associate Research Fellow, Korea Institute for Curriculum and Evaluation

^†Corresponding Author : Yongsang Lee

ⓒ Copyright 2012, Korea Institute for Curriculum and Evaluation. This is an Open-Access article distributed under the terms of the Creative Commons Attribution NonCommercial-ShareAlike License (http://creativecommons.org/licenses/by-nc-sa/4.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Received: Jan 01, 2012 ; Revised: Feb 07, 2012 ; Accepted: Feb 22, 2012

Published Online: Mar 31, 2012

ABSTRACT

The purpose of this paper is to demonstrate how to extend the MIRID (Model with Internal Restrictions on Item Difficulty) model to polytomous situations. The original MIRID model is designed to explore the underlying relationship between the complex cognitive task and its basic components with binary response data. If polytomous response data is treated in a dichotomous way, however, then much information about examinees might be lost. This phenomenon is explained in both empirical and simulation studies. The interpretation of the models is illustrated in an example with data from a study of verbal aggression. In order to verify the accuracy and stability of the estimates for the Partial Credit MIRID (PC-MIRID), a simulation study was conducted under 16 conditions using SAS NLMIXED. The simulation study in this paper confirms that the PC-MIRID provides accurate and stable parameter estimates under appropriate conditions.

Keywords: the partial credit MIRID model; the partial credit model; the Rasch model