On the Finiteness of the Weighted Likelihood Estimator of Ability
| Autor: | Norman D. Verhelst, David Magis |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Class (set theory)
Bayes estimator Psychometrics Applied Mathematics 05 social sciences 050401 social sciences methods Estimator Polytomous Rasch model Context (language use) 01 natural sciences 010104 statistics & probability Weighted likelihood 0504 sociology Item response theory Statistics Econometrics 0101 mathematics General Psychology Mathematics |
| Zdroj: | Psychometrika. 82:637-647 |
| ISSN: | 1860-0980 0033-3123 |
| Popis: | The purpose of this note is to focus on the finiteness of the weighted likelihood estimator (WLE) of ability in the context of dichotomous and polytomous item response theory (IRT) models. It is established that the WLE always returns finite ability estimates. This general result is valid for dichotomous (one-, two-, three- and four-parameter logistic) IRT models, the class of polytomous difference models and divide-by-total models, independently of the number of items, the item parameters and the response patterns. Further implications of this result are outlined. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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