摘要翻译:
针对二分评分项目,提出了复杂结构多维项目反应理论(MIRT)的无坐标系定义。所采取的观点强调了理解MIRT作为“经典”一维项目反应理论模型的多维扩展的可能性和微妙之处。本文的主要定理是:每个单调MIRT模型看起来都是一样的;它们都是单变量项目反应理论的微不足道的扩展。
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英文标题:
《On multidimensional item response theory -- a coordinate free approach》
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作者:
Tam\'as Antal
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最新提交年份:
2007
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分类信息:
一级分类:Mathematics 数学
二级分类:Statistics Theory 统计理论
分类描述:Applied, computational and theoretical statistics: e.g. statistical inference, regression, time series, multivariate analysis, data analysis, Markov chain Monte Carlo, design of experiments, case studies
应用统计、计算统计和理论统计:例如统计推断、回归、时间序列、多元分析、数据分析、马尔可夫链蒙特卡罗、实验设计、案例研究
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一级分类:Statistics 统计学
二级分类:Statistics Theory 统计理论
分类描述:stat.TH is an alias for math.ST. Asymptotics, Bayesian Inference, Decision Theory, Estimation, Foundations, Inference, Testing.
Stat.Th是Math.St的别名。渐近,贝叶斯推论,决策理论,估计,基础,推论,检验。
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英文摘要:
A coordinate system free definition of complex structure multidimensional item response theory (MIRT) for dichotomously scored items is presented. The point of view taken emphasizes the possibilities and subtleties of understanding MIRT as a multidimensional extension of the ``classical'' unidimensional item response theory models. The main theorem of the paper is that every monotonic MIRT model looks the same; they are all trivial extensions of univariate item response theory.
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PDF链接:
https://arxiv.org/pdf/707.2884