Limits on log odds ratios for unidimensional item response theory models

被引：1

作者：

Haberman, Shelby J. ^{[1
]}

Holland, Paul W. ^{[1
]}

Sinharay, Sandip ^{[1
]}

机构：

[1] Educ Testing Serv, Ctr Stat & Psychometr Theory & Practice, Princeton, NJ 08541 USA

来源：

PSYCHOMETRIKA | 2007年 / 72卷 / 04期

关键词：

Rasch model; 2PL model; normal ogive model; cumulant generating function;

D O I：

10.1007/s11336-007-9009-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：551 / 561

页数：11

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