异常反应模式的识别和分类

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

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。

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.