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About the equivalence of the latent D-scoring model and the two-parameter logistic item response model. / Robitzsch, Alexander.

in: Mathematics, Jahrgang 9, Nr. 13, 1465, 22.06.2021.

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Robitzsch, Alexander. / About the equivalence of the latent D-scoring model and the two-parameter logistic item response model. in: Mathematics. 2021 ; Jahrgang 9, Nr. 13.

BibTeX

@article{a93049f6dcad40c58c58b18fb4303c2c,
title = "About the equivalence of the latent D-scoring model and the two-parameter logistic item response model",
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.",
keywords = "latent D-scoring model, logistic item response model, identifiability, item parameter estimation, PISA, TRENDS",
author = "Alexander Robitzsch",
year = "2021",
month = jun,
day = "22",
doi = "10.3390/math9131465",
language = "English",
volume = "9",
journal = "Mathematics",
issn = "2227-7390",
publisher = "MDPI",
number = "13",

}

RIS

TY - JOUR

T1 - About the equivalence of the latent D-scoring model and the two-parameter logistic item response model

AU - Robitzsch, Alexander

PY - 2021/6/22

Y1 - 2021/6/22

N2 - 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.

AB - 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.

KW - latent D-scoring model

KW - logistic item response model

KW - identifiability

KW - item parameter estimation

KW - PISA

KW - TRENDS

U2 - 10.3390/math9131465

DO - 10.3390/math9131465

M3 - Journal article

VL - 9

JO - Mathematics

JF - Mathematics

SN - 2227-7390

IS - 13

M1 - 1465

ER -

ID: 1658317