Asymptotic null distribution of person fit statistics with estimated person parameter

Asymptotic null distribution of person fit statistics with estimated person parameter
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具有估计人员参数的人员拟合统计量的渐近零分布

DOI:
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发表时间:
2001
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影响因子:
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通讯作者:
T. Snijders
T. Snijders
中科院分区:
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文献类型:
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作者:
T. Snijders

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二分类项目反应模型考虑了人的拟合统计量。对于项目反应呈线性的统计量,导出了渐近零分布,其中能力参数由估计值代替。这允许用估计的能力参数对线性人拟合统计量进行渐近正确的标准化。能力参数的估计通常会减小渐近方差。
Person fit statistics are considered for dichotomous item response models. The asymptotic null distribution is derived for statistics which are linear in the item responses, and in which the ability parameter is replaced by an estimate. This allows the asymptotically correct standardization of linear person fit statistics with estimated ability parameter. The fact that the ability parameter is estimated usually decreases the asymptotic variance.