Article
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A Comparison of Estimation Methods for the Rasch Model
Version 1
: Received: 27 February 2021 / Approved: 1 March 2021 / Online: 1 March 2021 (13:16:08 CET)
How to cite: Robitzsch, A. A Comparison of Estimation Methods for the Rasch Model. Preprints 2021, 2021030011. https://doi.org/10.20944/preprints202103.0011.v1 Robitzsch, A. A Comparison of Estimation Methods for the Rasch Model. Preprints 2021, 2021030011. https://doi.org/10.20944/preprints202103.0011.v1
Abstract
The Rasch model is one of the most prominent item response models. In this article, different item parameter estimation methods for the Rasch model are compared through a simulation study. The type of ability distribution, the number of items, and sample sizes were varied. It is shown that variants of joint maximum likelihood estimation and conditional likelihood estimation are competitive to marginal maximum likelihood estimation. However, efficiency losses of limited-information estimation methods are only modest. It can be concluded that in empirical studies using the Rasch model, the impact of the choice of an estimation method with respect to item parameters is almost negligible for most estimation methods. Interestingly, this sheds a somewhat more positive light on old-fashioned joint maximum likelihood and limited information estimation methods.
Keywords
Rasch model; item parameter estimation; maximum likelihood estimation; item response model
Subject
Business, Economics and Management, Accounting and Taxation
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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