COMPARISON OF MULTIDIMENSIONAL ITEM RESPONSE MODELS: MULTIVARIATE NORMAL ABILITY DISTRIBUTIONS VERSUS MULTIVARIATE POLYTOMOUS ABILITY DISTRIBUTIONS
COMPARISON OF MULTIDIMENSIONAL ITEM RESPONSE MODELS: MULTIVARIATE NORMAL ABILITY DISTRIBUTIONS VERSUS MULTIVARIATE POLYTOMOUS ABILITY DISTRIBUTIONS
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多维项目反应模型的比较：多元正态能力分布与多元多分能力分布
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
Yi
中科院分区：
文献类型：
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作者：
S. Haberman;M. Davier;Yi
多维项目响应模型可以基于多元正态能力分布或多变量多分能力分布。对于简单结构的情况，其中每个项目对应于能力向量的唯一维度，采用双参数逻辑模型对经验数据的一些应用来说明至少对于正在研究的示例，如何使用任一方法获得可比较的结果。可比性涉及模型拟合的质量以及参数估计和所需计算时间方面的相似性。在这两种情况下，数值工作都可以非常有效地进行。在多元正态能力分布的情况下，可以采用多元自适应Gauss-Hermite求积来大大减少计算量。在多分能力分布的情况下，使用对数线性模型可以进行有效的计算。
Multidimensional item response models can be based on multivariate normal ability distributions or on multivariate polytomous ability distributions. For the case of simple structure in which each item corresponds to a unique dimension of the ability vector, some applications of the two-parameter logistic model to empirical data are employed to illustrate how, at least for the example under study, comparable results can be achieved with either approach. Comparability involves quality of model fit as well as similarity in terms of parameter estimates and computational time required. In both cases, numerical work can be performed quite efficiently. In the case of the multivariate normal ability distribution, multivariate adaptive Gauss-Hermite quadrature can be employed to greatly reduce computational labor. In the case of a polytomous ability distribution, use of log-linear models permits efficient computations.