ISSN 0439-755X
CN 11-1911/B
主办:中国心理学会
   中国科学院心理研究所
出版:科学出版社

心理学报 ›› 1998, Vol. 30 ›› Issue (2): 197-203.

• • 上一篇    下一篇

项目难度与被试能力分布最优匹配的模拟研究

李金波;王权   

  1. 杭州大学教育系
  • 发布日期:1998-06-25 出版日期:1998-06-25
  • 通讯作者: 李金波

RESEARCH ON SIMULATE TRIAL FOR THE OPTIMALMATCH BETWEEN THE DISTRIBUTION OF ABILITY ANDTHE DISTRIBUTION OF ITEM DIFFICULTY

Li Jinbo Wang Quan (Dept Of Education,Hangzhou University,Hangzhou , 310028)   

  • Online:1998-06-25 Published:1998-06-25

摘要: 该文运用蒙特卡罗方法对被试能力分布与测验项目难度分布的匹配问题进行模拟分析,分析表明当能力分布为正态分布、正偏态分布和负偏态分布时,分别与测验项目难度分布也为正态分布、正偏态分布和负偏态分布匹配,比别的匹配有更高的测验期望信息值,测验最大信息值和测验信度系数。并且测验信息曲线最大值的能力点与能力分布的众数愈相一致,测验项目参数估计值与真实值的相关也更高。

关键词: 项目反应理论, 测验信息函数的期望值, 最大值, 最优匹配

Abstract: This research explored optimal match between distribution of the examinees ability and distribution of the items ' difficulty by Monte Carlo Simulate Approach. The results showed that when the distribution of the examinees ' ability were standard normal, positive skewness or negative skewness and the distribution of items ' difficulty were the same as ability distribution respectively, the indices of match, such as the expected information function value, maximum information function value and reliability were higher than the other match indices. The accuracy was also higher than the other match in estimating item difficulty, discrimination and examinees ' ability.

Key words: item response theory, expected value and maximum value of information function, optimal match