非参数项目反应理论模型及其在教育考试中的应用

Nonparametric Item Response Theory and Its Application to Educational Assessment

非参数项目反应理论模型包括单调均匀性模型和双单调模型。用单调均匀性模型对某英语听力考试结果研究发现,按照顺序选择法,可从16道听力试题中选出11道满足要求的试题,组成单维量表。用考生在这11道试题上的总得分对考生进行排序与按照潜质排序等效。利用双单调模型对11道听力试题组成的单维量表进行试题功能偏差研究发现,有5道试题在女生子群体中的排序与在男生子群体以及整个群体排序不同,显示女生子群体作出正确应答的概率明显高于男生子群体作出正确应答的概率。这种差异至少部分是由两个子群体听力能力上的差异引起的。

Nonparametric item response theory models includ the monotone homogeneity model and the double monotone model. The scores of an English listening set of 16 items are studied under the monotone homogeneity model. A sequential item clustering procedure is utilized to select 11 items which constitute a unidimensional scale from the set. To order the subjects on 0 by the simple sum score of the unidimensional scale may be more accurate. Under the double monotone model, it is found that the ordering for 5 items of the unidimensional scale is different across the male and female subgroups from the population of interest, which means that there are ft for which the possibility of giving the correct answer for female subgroup is higher than that for male subgroup. This fact results at least partly from the difference in listening ability between the two subgroups. As for whether item differential functioning occurs, further research is needed.