ISSN 1671-3710
CN 11-4766/R
主办:中国科学院心理研究所
出版:科学出版社

心理科学进展 ›› 2014, Vol. 22 ›› Issue (3): 540-548.doi: 10.3724/SP.J.1042.2014.00540

• 研究方法 • 上一篇    下一篇

混合IRT潜在模型及其应用轨迹

王霞;谭国华;王旭;张敏强;骆聪   

  1. (1华南师范大学心理学院/心理应用研究中心, 广州 510631) (2广州市教育局教学研究室, 广州 510030) (3广州市教育信息中心, 广州 510030)
  • 收稿日期:2013-05-25 出版日期:2014-03-15 发布日期:2014-03-15
  • 通讯作者: 张敏强
  • 基金资助:

    全国教育科学“十二五”规划教育部重点课题(GFA111009)、广州卓越教育项目:学生学业水平认知诊断评价、2012年度教育部人文社会科学研究青年基金项目(12YJC190016)、广州市基础教育学业质量监测系统项目(GZIT2012-ZB0292)。

The Mixture Item Response Theory Models and Its Application Traces

WANG Xia;TAN Guohua;WANG Xu;ZHANG Minqiang;LUO Cong   

  1. (1 Center for studies of Psychological Application, School of Psychology, South China Normal University, Guangzhou 510631, China) (2 Teaching Research Office of Guangzhou Education Bureau, Guangzhou 510030, China) (3 Guangzhou Municipal Education Information Center, Guangzhou 510030, China)
  • Received:2013-05-25 Online:2014-03-15 Published:2014-03-15
  • Contact: ZHANG Minqiang

摘要:

项目反应理论是测量被试潜在特质的现代测量理论, 潜在类别分析是基于模型的潜在特质分类技术。混合项目反应理论将项目反应理论与潜在类别分析相结合, 能够同时对被试分类并量化其潜在特质。在阐述混合项目反应理论概念、原理的基础上, 介绍了MRM、mNRM和mPCM等几种常见混合模型及其参数估计方法, 并从心理与行为特征分类、项目功能差异检测、测验效度评价等方面评述了其在心理测验中的应用发展轨迹。

关键词: 项目反应理论(IRT), 潜在类别分析(LCA), 混合IRT, 潜在结构

Abstract:

Item response theory (IRT) is a modern measurement theory for accurately estimating individuals’ ability, and latent class analysis (LCA) is a statistical technique used to identify subtypes of individuals, which is based on statistic models. Mixture item response theory (Mixture IRT) combining LCA and IRT is able to classify the subjects as well as quantifying their traits. The concept and principle of Mixture IRT is elaborated in this paper. Besides, several common mixed models are introduced here, such as the mixed Rasch model (MRM), a mixture version of the nominal response model (mNRM) and a mixture version of the partial credit model (mPCM). Furthermore, different parameter estimation methods are described and the application traces in psychological test of Mixture IRT is evaluated from the perspectives of classifying psychological or behavioral traits, detecting differential item functioning and estimating test validity.

Key words: item response theory (IRT), latent class analysis (LCA), Mixture IRT, latent structure