Robitzsch, A. About the Equivalence of the Latent D-Scoring Model and the Two-Parameter Logistic Item Response Model. Mathematics 2021, 9, 1465, doi:10.3390/math9131465.
Robitzsch, A. About the Equivalence of the Latent D-Scoring Model and the Two-Parameter Logistic Item Response Model. Mathematics 2021, 9, 1465, doi:10.3390/math9131465.
Robitzsch, A. About the Equivalence of the Latent D-Scoring Model and the Two-Parameter Logistic Item Response Model. Mathematics 2021, 9, 1465, doi:10.3390/math9131465.
Robitzsch, A. About the Equivalence of the Latent D-Scoring Model and the Two-Parameter Logistic Item Response Model. Mathematics 2021, 9, 1465, doi:10.3390/math9131465.
Abstract
This article shows that the recently proposed latent D-scoring model of Dimitrov is statistically equivalent to the two-parameter logistic item response model. An analytical derivation and a numerical illustration are employed for demonstrating this finding. Hence, estimation techniques for the two-parameter logistic model can be used for estimating the latent D-scoring model. In an empirical example using PISA data, differences of country ranks are investigated when using different metrics for the latent trait. In the example, the choice of the latent trait metric matters for the ranking of countries. Finally, it is argued that an item response model with bounded latent trait values like the latent D-scoring model might have advantages for reporting results in terms of interpretation.
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.
