Asymptotic null distribution of person fit statistics with estimated person parameter

被引:0
|
作者
Tom A. B. Snijders
机构
[1] University of Groningen,Department of Statistics, Measurement Theory, and Information Technology
[2] Grote,undefined
来源
Psychometrika | 2001年 / 66卷
关键词
item response theory; person fit; asymptotic approximations;
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学科分类号
摘要
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.
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页码:331 / 342
页数:11
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