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 ›› 2001, Vol. 33 ›› Issue (6): 79-84.

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异常反应模式的识别和分类

曹亦薇   

  1. 深圳大学师范学院 深圳518060
  • 出版日期:2001-12-25 发布日期:2001-12-25
  • 通讯作者: 曹亦薇

DETECTION AND CLASSIFICATION OF ABERRANT ITEM RESPONSE PATTERNSUSING PERSON FIT INDEX AND MULTIDIMENSIONAL SCALING

Cao Yiwei(Shenzhen University Normal College, Shenzhen 518060)   

  • Published:2001-12-25 Online:2001-12-25

摘要: 通过对Drasgow等人的个人适合指标lz 公式的再分解 ,发现该指标也属于残差型类的指标。特别是和Tat suoka的广义个人适合指标 ζ指标具有类似的数学结构 ,除符号相反外 ,不同之处仅是公式中加权项。其次 ,该研究定义了任意两个异常反应对象的类似度 ,在此基础上试用多维标度法对异常反应模式进行再分类。结果说明分类是有效、实用的。

关键词: 项目反应理论, 个人适合指标, 类似度, 多维标度法

Abstract: There were two main features of this paper: 1) the likelihood based p e rson fit index l z and the residual based caution index, Tatsuoka's ζ ha ve similar mathematical structure except the difference of weight. The wei ght of l z index is a logit of an item response function (IRF), while the weigh t of ζ is residual IRF and true score; 2) a degree of coincidence between any t wo aberrant subjects is defined as a similarity for multidimensional scaling (MD S):S j?k=∑gr=1p j?rp k?r+(1 p j?r)(1 p k?r) 1/2, where g is the number of item groups, p j?r is the proportion of subject j who answer correctl y in the item group r. The larger value of the S j?k, the more similar ity will be between the subject j and k. A dataset of Chinese vocabulary test wa s investigated using the l z index and MDS. The 3.5% of the abe rrant subjects were detected, and classified into 5 types. The result of MDS indicated that it is a useful and effective method for classification of aberra nt item response patterns. Suggestions for future research are provided.

Key words: IRT, person fit index, similarity, multidimensional scaling