Studies of Psychology and Behavior ›› 2015, Vol. 13 ›› Issue (6): 794-798.

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Cross-distribution Comparison of Five linear Equating Methods Based on Mixed Model of Item Response Theory

Zhang Minqiang, Li Guangming, Wang Xiaoting, Huang Chunru, Wang Xingjun   

  1. School of Psychology Center for Studies of Psychological Application in South China Normal University, Guangzhou 510631
  • Received:2014-12-29 Online:2015-12-24 Published:2015-11-20

RT混合模型下五种线性等值方法跨分布比较

张敏强, 黎光明, 王小婷, 黄春汝, 王幸君   

  1. 华南师范大学心理学院,心理应用研究中心,广州 510631
  • 通讯作者: 张敏强,E-mail: 2640726401@qq.com; 黎光明,E-mail: Lgm2004100@sina.com。
  • 基金资助:
    全国教育科学“十二五”规划教育部重点课题(GFA111009)

Abstract: Based on Simulating some data of non-equivalent group for 3PLM and GRM mixed model of item response theory, this paper compared five linear equating methods such as Mean-Mean(MM), Mean-Sigma(MS), Robust Mean and Sigma(RMS), Haebara(HA)and Stocking-Lord(SL). The paper aimed at exploring whether the number of subjects and the ability distribution of target subjects have a significantly effect on equivalent accuracy. The result showed that: 1)when the target group and reference group subjects ability distribution were similar or their difference was small, the MM method was the best and had a highest equivalent accuracy; 2)when the difference of ability of distribution for the target group and reference group subjects increased, the MS method had a strong advantage.

Key words: IRT, mixed model, equating method, cross-distribution comparison.

摘要: 基于3PLM和GRM的混合模型下,采用非等组锚题设计,运用模拟方法比较平均数-平均数法,平均数-标准差法,稳健的平均数-标准差法,Haebara法和Stocking-Lord法五种线性等值方法,考虑被试数量和目标组被试能力分布对等值精度的影响。结果发现:(1)当目标组和基准组被试能力分布相似或差异较小时,平均数-平均数法胜出次数最多,等值精度最高;(2)当目标组和基准组被试能力分布差异增大时,平均数-标准差法逐渐占优。

关键词: IRT, 混合模型, 等值方法, 跨分布比较。