华东师范大学学报(教育科学版)

华东师范大学学报(教育科学版) ›› 2014, Vol. 32 ›› Issue (3): 10-18.

• 教育招生与考试制度改革 • 上一篇    下一篇

高考数学中考试评价的研究
 ——基于CTT与IRT的实证比较

闫成海1,杜文久2,宋乃庆2,张健 3   

  1. 1. 西安文理学院数学与计算机工程学院， 西安 710065；2. 西南大学数学与统计学院， 重庆 400715；3.重庆市教育考试院，重庆 401147
  • 出版日期:2014-09-20 发布日期:2014-10-07
  • 通讯作者: 1闫成海,2杜文久,2宋乃庆,3张健
  • 作者简介:1闫成海,2杜文久,2宋乃庆,3张健
  • 基金资助:

    教育部哲学社会科学研究后期资助项目"中国基础教育改革与发展研究"（项目批准号：11JHQ001），重庆市教育科学规划项目"项目反应理论在普通高考中的应用"（项目编号：2011 KS035）。

Evaluation of Examination in Math in College Entrance Examination：A Empirical Comparative Study on CTT and IRT

YAN Chenghai1,DU Wenjiu2,SONG Naiqing2,ZHANG Jian3   

  1. 1. School of Mathematics and Computer engineering, Xi'an University, Xi'an 710065，China;2. School of Mathematics and Statistics, Southwest University, Chongqing 400715，China3. School of Chongqing Educational Examination, 401147, China
  • Online:2014-09-20 Published:2014-10-07
  • Contact: 1、YAN Chenghai,2、DU Wenjiu,2、SONG Naiqing,3、ZHANG Jian
  • About author:1、YAN Chenghai,2、DU Wenjiu,2、SONG Naiqing,3、ZHANG Jian

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摘要： 相关研究表明，IRT在教育考试评价中比CTT具有诸多优点。本文以某地区高考数学考试数据为基础，比较CTT与IRT在项目参数、评价方式、精度估计三个方面之间的差异。研究结果证明，在IRT下参数更容易反映观测各个项目的特征属性，IRT参数比CTT参数更具精确性，项目信息函数能更好的反映试题信息； CTT与IRT的评价方式不同，IRT下的能力分数优于CTT下的测验分数，更能反映学生能力水平； CTT与IRT精度估计不同，IRT测验信息函数和能力置信区间比CTT有更好的精度。实证展示出IRT在高考数学考试评价中的优越性，具有重要的价值和应用前景。

关键词: CTT, IRT, 考试评价

Abstract: The previous research shows that ITR has more merits than CTT in the evaluation of examination. Based on the data collected in math subject in National College Entrance Examination of one district, the paper compares the differences between CTT and IRT on project parameters, ways of evaluation and accuracy assessment. The research shows that the characteristics of each project properties are more easily reflected under the IRT parameters, and the IRT parameters are more accurate than the CTT. The function of the project information can reflect the information of the tests better. IRT and CTT have different evaluation ways and the scores under the evaluation of IRT, which represents students' abilities, are higher than those of CTT. CTT is different from IRT in precision estimation, but the test information function and confidence interval of IRT are more accurate than that of CTT. The Empirical study shows the advantages of IRT in evaluating the math subject in College Entrance Examination, which is valuable and has potential applications.

Key words: CTT, IRT, Evaluation of Examination