Limits on Log Odds Ratios for Unidimensional Item Response Theory Models

被引:0
|
作者
Shelby J. Haberman
Paul W. Holland
Sandip Sinharay
机构
[1] Educational Testing Service,Center for Statistical and Psychometrical Theory and Practice
来源
Psychometrika | 2007年 / 72卷
关键词
Rasch model; 2PL model; normal ogive model; cumulant generating function;
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学科分类号
摘要
Bounds are established for log odds ratios (log cross-product ratios) involving pairs of items for item response models. First, expressions for bounds on log odds ratios are provided for one-dimensional item response models in general. Then, explicit bounds are obtained for the Rasch model and the two-parameter logistic (2PL) model. Results are also illustrated through an example from a study of model-checking procedures. The bounds obtained can provide an elementary basis for assessment of goodness of fit of these models.
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页码:551 / 561
页数:10
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