Synthesizing the Ability in Multidimensional Item Response Theory Models

被引:0
|
作者
Montenegro Diaz, Alvaro Mauricio [1 ]
Cepeda, Edilberto [1 ]
机构
[1] Univ Nacl Colombia, Dept Estadist, Fac Ciencias, Bogota, Colombia
来源
REVISTA COLOMBIANA DE ESTADISTICA | 2010年 / 33卷 / 01期
关键词
Binary response; Item response theory; Index; Multidimensional data; Synthetic estimator; Latent trait; IRT; PARAMETERS;
D O I
暂无
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
A central problem associated with Multidimensional Item Response. Theory (MIRT) Models is the impossibility of ordering the examinees. In this paper, we obtain two unidimensional synthetic indices that are optimal linear combinations of the ability vector. These synthetic indices are similar to the reference composite commonly used in MIRT models, but they are easier to calculate and interpret. The synthetic indices are compared with the unidimensional ability obtained when a multidimensional data is fitted with an unidimensional IRT (UIRT) model.
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页码:127 / 147
页数:21
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