A Note on Equivalent and Nonequivalent Parametrizations of the Two-Parameter Logistic Item Response Model

被引：1
作者：
Robitzsch, Alexander [1 ,2 ]
机构：
[1] IPN Leibniz Inst Sci & Math Educ, Olshausenstr 62, D-24118 Kiel, Germany
[2] Ctr Int Student Assessment ZIB, Olshausenstr 62, D-24118 Kiel, Germany
来源：
INFORMATION | 2024年 / 15卷 / 11期
关键词：
item response theory; 2PL model; AIC; unipolar IRT model; rational function model; Ramsay quotient model; partial membership; MAXIMUM-LIKELIHOOD-ESTIMATION; PARAMETER RECOVERY; RASCH; SIMULATION; MEMBERSHIP; BINARY; GRADE;
D O I：
10.3390/info15110668
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The two-parameter logistic (2PL) item response model is typically estimated using an unbounded distribution for the trait theta. In this article, alternative specifications of the 2PL models are investigated that consider a bounded or a positively valued theta distribution. It is highlighted that these 2PL specifications correspond to the partial membership mastery model and the Ramsay quotient model, respectively. A simulation study revealed that model selection regarding alternative ranges of the theta distribution can be successfully applied. Different 2PL specifications were additionally compared for six publicly available datasets.
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页数：15
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