Data Analysis in Polytomous Item Response Theory Using R
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Abstract
Item Response Theory (IRT) can be divided into two distinct categories based on the result of the response—Dichotomous IRT and Polytomous IRT. In educational testing contexts, polytomous scoring methods such as rating scales, rubrics, and partial credit scoring are used. This article then focuses on how to analyze data with the Partial Credit Model (PCM) and the Graded Response Model (GRM), which are models that cover quality examination of polytomous scoring tools generally used in the educational context through R. R is a well-known open-source program and is accepted by the public. It could be downloaded for use and for further development for free. In addition, it can be used in various operating systems. In the paper, we discuss the basics of the IRT, polytomous IRT models, R functions, and the analysis for PCM and GRM in educational measurement, psychological assessment, and so on.
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