Identified and unidentified cases of the three- and four-parameter models in item response theory.
Identified and unidentified cases of the three- and four-parameter models in item response theory.
复制标题
项目反应理论中三参数和四参数模型的已识别和未识别案例。
DOI：
10.1007/s41237-017-0032-x
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
H.
中科院分区：
文献类型：
--
作者：
Ogasawara;H.
包含猜测参数的三参数逻辑斯蒂模型是项目反应理论中最常用的模型之一。虽然具有非随机能力的固定效应3PL模型中的猜测参数被认为具有识别性，但目前已有一些反例，并给出了一些新的反例。本文引入嵌套模型的退化概念。一些退化的情况下，在反例中示出的猜测参数的模型识别，这是进一步示出的更退化的模型中的模型不可识别。在固定效应4参数logistic模型中也得到了类似的结果。
The 3-parameter logistic (3PL) model including guessing parameters is one of the popular models in item response theory. While the guessing parameters in the fixed-effects 3PL model with non-stochastic abilities have been believed to have identification, some counter examples with new ones given in this paper are currently available. In this paper, the concept of degeneracy for nested models is introduced. Some degenerate cases in the counter examples are shown to have model identification for guessing parameters, which are further shown to have model unidentification in a more degenerate model. Similar results in the fixed-effects 4-parameter logistic model are also derived.