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In many applications, items have more than two response categories with categories being ordered. Let polytomouslyPolytomously scored items scored items have values \(Y_{pi} \in \{0,1,\dots,k\}\) , \(p=1,\dots,P\) , \(i=1,\dots,I\) , with \(\{0,1,\dots,k\}\) representing the ordering of categories. For simplicity we use a fixed number of response categories when defining the models. In general, the number of response categories can vary across items with the response categories of item i given by \(\{0,1,\dots,k_i\}\) .

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Ordinal Models

  • 章节

  • 发表日期：

    2025年

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  • Gerhard Tutz

摘要

In many applications, items have more than two response categories with categories being ordered. Let polytomouslyPolytomously scored items scored items have values \(Y_{pi} \in \{0,1,\dots,k\}\) , \(p=1,\dots,P\) , \(i=1,\dots,I\) , with \(\{0,1,\dots,k\}\) representing the ordering of categories. For simplicity we use a fixed number of response categories when defining the models. In general, the number of response categories can vary across items with the response categories of item i given by \(\{0,1,\dots,k_i\}\) .