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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.20 No.1

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THE DEVELOPMENT OF A ZERO-INFLATED RASCH MODEL

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2013, v.20 no.1, pp.59-70
https://doi.org/10.7468/jksmeb.2013.20.1.59
Kim, Sungyeun
Lee, Guemin
Kim,, S. , & Lee,, G. (2013). THE DEVELOPMENT OF A ZERO-INFLATED RASCH MODEL. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 20(1), 59-70, https://doi.org/10.7468/jksmeb.2013.20.1.59

Abstract

The purpose of this study was to develop a zero-inflated Rasch (ZI-Rasch) model, a combination of the Rasch model and the ZIP model. The ZI-Rasch model was considered in this study as an appropriate alternative to the Rasch model for zero-inflated data. To investigate the relative appropriateness of the ZI-Rasch model, several analyses were conducted using PROC NLMIXED procedures in SAS under various simulation conditions. Sets of criteria for model evaluations (-2LL, AIC, AICC, and BIC) and parameter estimations (RMSE, and <TEX>$r$</TEX>) from the ZI-Rasch model were compared with those from the Rasch model. In the data-model fit indices, regardless of the simulation conditions, the ZI-Rasch model produced better fit statistics than did the Rasch model, even when the response data were generated from the Rasch model. In terms of item parameter <TEX>${\lambda}$</TEX> estimations, the ZI-Rasch model produced estimates similar to those of the Rasch model.

keywords
Rasch model, zero-inflated data, zero-inflated Poisson model, zero-inflated Rasch model

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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