THE ASYMPTOTIC POSTERIOR NORMALITY OF THE LATENT TRAIT IN AN IRT MODEL

被引：85

作者：

CHANG, HH ^{[1
]}

STOUT, W ^{[1
]}

机构：

[1] UNIV ILLINOIS,DEPT STAT,CHAMPAIGN,IL 61820

来源：

PSYCHOMETRIKA | 1993年 / 58卷 / 01期

关键词：

ITEM RESPONSE THEORY; EMPIRICAL BAYES; POSTERIOR DISTRIBUTION; ABILITY ESTIMATION; CONFIDENCE INTERVAL; MANIFEST PROBABLY; DUTCH IDENTITY;

D O I：

10.1007/BF02294469

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It has long been part of the item response theory (IRT) folklore that under the usual empirical Bayes unidimensional IRT modeling approach, the posterior distribution of examinee ability given test response is approximately normal for a long test. Under very general and nonrestrictive nonparametric assumptions, we make this claim rigorous for a broad class of latent models.

引用

页码：37 / 52

页数：16

共 14 条

[1] ADAPTIVE EAP ESTIMATION OF ABILITY IN A MICROCOMPUTER ENVIRONMENT [J].