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arXiv 2106.12784stat.ME
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项目反应保留模型

Item Response Thresholds Models

Gerhard Tutz

摘要:

提出了一个全面的一类模型,可用于连续的,二进制的,有序的分类和计数型响应。项目的难度由难度函数来描述,它取代了项目反应模型中通常使用的项目难度参数。它们决定了响应分布,并使模型在覆盖的分布范围方面非常灵活。模型类包含几个广泛使用的模型,如二进制Rasch模型和分级响应模型作为特例,允许简化,并提供了一个免费的分布替代计数类型的项目。模型的一个主要优点是,当不同类型的项目被组合起来衡量能力或态度时,它们可以用于混合项目格式。这是综合建模方法的直接结果,该方法允许难度函数自动适应响应分布。显示了模型类的基本属性。几个真实的数据集被用来说明模型的灵活性。

英文摘要:

A comprehensive class of models is proposed that can be used for continuous, binary, ordered categorical and count type responses. The difficulty of items is described by difficulty functions, which replace the item difficulty parameters that are typically used in item response models. They crucially determine the response distribution and make the models very flexible with regard to the range of distributions that are covered. The model class contains several widely used models as the binary Rasch model and the graded response model as special cases, allows for simplifications, and offers a distribution free alternative to count type items. A major strength of the models is that they can be used for mixed item formats, when different types of items are combined to measure abilities or attitudes. It is an immediate consequence of the comprehensive modeling approach that allows that difficulty functions automatically adapt to the response distribution. Basic properties of the model class are shown. Several real data sets are used to illustrate the flexibility of the models.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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