A Note on Equivalent and Nonequivalent Parametrizations of the Two-Parameter Logistic Item Response Model
The two-parameter logistic (2PL) item response model is typically estimated using an unbounded distribution for the trait <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>θ</mi></semantics></ma...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2024-10-01
|
| Series: | Information |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2078-2489/15/11/668 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | The two-parameter logistic (2PL) item response model is typically estimated using an unbounded distribution for the trait <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>θ</mi></semantics></math></inline-formula>. In this article, alternative specifications of the 2PL models are investigated that consider a bounded or a positively valued <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>θ</mi></semantics></math></inline-formula> 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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>θ</mi></semantics></math></inline-formula> distribution can be successfully applied. Different 2PL specifications were additionally compared for six publicly available datasets. |
|---|---|
| ISSN: | 2078-2489 |