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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.18351 |
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| _version_ | 1866917850360315904 |
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| author | Noventa, Stefano Faleh, Roberto Kelava, Augustin |
| author_facet | Noventa, Stefano Faleh, Roberto Kelava, Augustin |
| contents | It is a well-known issue that in Item Response Theory models there is no closed-form for the maximum likelihood estimators of the item parameters. Parameter estimation is therefore typically achieved by means of numerical methods like gradient search. The present work has a two-fold aim: On the one hand, we revise the fundamental notions associated to the item parameter estimation in 2 parameter Item Response Theory models from the perspective of the complete-data likelihood. On the other hand, we argue that, within an Expectation-Maximization approach, a closed-form for discrimination and difficulty parameters can actually be obtained that simply corresponds to the Ordinary Least Square solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_18351 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On an EM-based closed-form solution for 2 parameter IRT models Noventa, Stefano Faleh, Roberto Kelava, Augustin Methodology Computation It is a well-known issue that in Item Response Theory models there is no closed-form for the maximum likelihood estimators of the item parameters. Parameter estimation is therefore typically achieved by means of numerical methods like gradient search. The present work has a two-fold aim: On the one hand, we revise the fundamental notions associated to the item parameter estimation in 2 parameter Item Response Theory models from the perspective of the complete-data likelihood. On the other hand, we argue that, within an Expectation-Maximization approach, a closed-form for discrimination and difficulty parameters can actually be obtained that simply corresponds to the Ordinary Least Square solution. |
| title | On an EM-based closed-form solution for 2 parameter IRT models |
| topic | Methodology Computation |
| url | https://arxiv.org/abs/2411.18351 |