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An eigenvector method for estimating item parameters of the dichotomous and polytomous Rasch models.
J Appl Meas. 2002; 3(2):107-28.JA

Abstract

The purpose of this paper is to describe a technique for obtaining item parameters of the Rasch model, a technique in which the item parameters are extracted from the eigenvector of a matrix derived from comparisons between pairs of items. The technique can be applied to both dichotomous and polytomous data. In application to a previously published data set, it is shown that the technique provides item parameter estimates comparable to those produced by joint maximum likelihood estimation, and for the most difficult items, the technique appears to produce superior estimates. This method has several advantages. It easily accommodates missing data, and makes transparent the basis for item parameter estimation in the presence of missing data. Furthermore, the method provides a link to other methods in the social sciences and, in particular, provides the framework for application of graph theory to the analysis of assessment networks. Finally, it exploits several characteristics that are unique to the Rasch model.

Authors+Show Affiliations

Kennesaw State University, Department of Mathematics, 1000 Chastain Roads, Kennesaw, GA 30144, USA. mgarner@kennesaw.edu

Pub Type(s)

Comparative Study
Journal Article

Language

eng

PubMed ID

12011497

Citation

Garner, Mary. "An Eigenvector Method for Estimating Item Parameters of the Dichotomous and Polytomous Rasch Models." Journal of Applied Measurement, vol. 3, no. 2, 2002, pp. 107-28.
Garner M. An eigenvector method for estimating item parameters of the dichotomous and polytomous Rasch models. J Appl Meas. 2002;3(2):107-28.
Garner, M. (2002). An eigenvector method for estimating item parameters of the dichotomous and polytomous Rasch models. Journal of Applied Measurement, 3(2), 107-28.
Garner M. An Eigenvector Method for Estimating Item Parameters of the Dichotomous and Polytomous Rasch Models. J Appl Meas. 2002;3(2):107-28. PubMed PMID: 12011497.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - An eigenvector method for estimating item parameters of the dichotomous and polytomous Rasch models. A1 - Garner,Mary,Jr PY - 2002/5/16/pubmed PY - 2002/6/20/medline PY - 2002/5/16/entrez SP - 107 EP - 28 JF - Journal of applied measurement JO - J Appl Meas VL - 3 IS - 2 N2 - The purpose of this paper is to describe a technique for obtaining item parameters of the Rasch model, a technique in which the item parameters are extracted from the eigenvector of a matrix derived from comparisons between pairs of items. The technique can be applied to both dichotomous and polytomous data. In application to a previously published data set, it is shown that the technique provides item parameter estimates comparable to those produced by joint maximum likelihood estimation, and for the most difficult items, the technique appears to produce superior estimates. This method has several advantages. It easily accommodates missing data, and makes transparent the basis for item parameter estimation in the presence of missing data. Furthermore, the method provides a link to other methods in the social sciences and, in particular, provides the framework for application of graph theory to the analysis of assessment networks. Finally, it exploits several characteristics that are unique to the Rasch model. SN - 1529-7713 UR - https://www.unboundmedicine.com/medline/citation/12011497/An_eigenvector_method_for_estimating_item_parameters_of_the_dichotomous_and_polytomous_Rasch_models_ DB - PRIME DP - Unbound Medicine ER -
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