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首页> 外文期刊>Educational and Psychological Measurement >An Expanded Derivation of the Threshold Structure of the Polytomous Rasch Model That Dispels Any 'Threshold Disorder Controversy'
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An Expanded Derivation of the Threshold Structure of the Polytomous Rasch Model That Dispels Any 'Threshold Disorder Controversy'

机译：消除任何“阈值障碍争议”的多模型Rasch模型的阈值结构的扩展推导

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摘要

Responses to items with formats in more than two ordered categories are ubiquitous in education and the social sciences. Because the putative ordering of the categories reflects an understanding of what it means to have more of the variable, it seems mandatory that the ordering of the categories is an empirical property of the assessments and not merely a property of the model used to analyze them. To provide an unequivocal interpretation of category ordering in rating formats, this article expands the original derivation of the polytomous Rasch model for ordered categories. To do so, it integrates a complex of mathematical relationships among response spaces from which a space of experimentally independent Bernoulli variables, characterized by Rasch's simple logistic model, can be inferred. From this inference, the article establishes the necessary and sufficient evidence to test the hypothesis that the required ordering of the categories is an empirical property of the assessments. This expanded derivation, which exposes how Adams, Wu, and Wilson (2012) misconstrue the model and its implications, is intended to dispel the so-called disordered threshold controversy they claim exists.
机译：在教育和社会科学中，对格式超过两个有序类别的项目的响应是普遍存在的。由于类别的推定顺序反映了对具有更多变量的含义的理解，因此似乎强制性的是，类别的顺序是评估的经验性质，而不仅仅是用于分析评估的模型的性质。为了提供评级格式中类别排序的明确解释，本文扩展了有序类别的多重Rasch模型的原始推导。为此，它整合了响应空间之间的复杂数学关系，从中可以推断出以拉施简单逻辑模型为特征的实验独立伯努利变量空间。根据这一推论，本文建立了必要和充分的证据，以检验以下假设：类别的必需排序是评估的经验性质。这种扩展的推论揭示了Adams，Wu和Wilson（2012）如何误解该模型及其含义，旨在消除他们声称存在的所谓的无序阈值争议。

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