论文标题

查找二进制问卷的原型模式

Finding archetypal patterns for binary questionnaires

论文作者

Cabero, Ismael, Epifanio, Irene

论文摘要

原型分析是一种探索性工具,将一组观测值解释为纯(极端)模式的混合物。如果模式是样本的实际观察结果,我们将其称为小型。我们首次提议将原型分析用于二元观测。如多元案例,该工具可以有助于理解二进制数据集。我们在仿真研究和两个应用中说明了所提出的方法的优势,一个探索对象(行)和其他探索项目(列)。一个与确定学生技能集合有关,而另一个与描述项目响应功能有关。

Archetypal analysis is an exploratory tool that explains a set of observations as mixtures of pure (extreme) patterns. If the patterns are actual observations of the sample, we refer to them as archetypoids. For the first time, we propose to use archetypoid analysis for binary observations. This tool can contribute to the understanding of a binary data set, as in the multivariate case. We illustrate the advantages of the proposed methodology in a simulation study and two applications, one exploring objects (rows) and the other exploring items (columns). One is related to determining student skill set profiles and the other to describing item response functions.

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