一种多级评分模型及参数估计  

A Polychotomously- Scored Responses Model and Parameter Estimation

作　　者：余军[1] 周纪芗[1] 

机构地区：[1]华东师范大学统计系,上海200062

出　　处：《应用概率统计》2000年第3期318-324,共7页Chinese Journal of Applied Probability and Statistics

摘　　要：本文用文献［１］中所提供模型，采用非线性最小二乘方法对多级评分题的项目参数及被试的能力参数进行估计，以上海市１９９６年高考数学试卷的抽样数据为例，讨论了参数估计的合理性，探讨了该模型对二级评分的应用，并与线性化最小二乘估计等算法进行了比较．In this paper, we adopt non-linear least square method to estimate the polychotomouslyscored items and examinees' ability parameters of the polychotomously-scored responses model. We illustrate the rationality of the parameter estimation of this model. We apply the model to chotomously-scored items and compare the result of non-linear least square method to that of linear least square method.

关 键 词：项目反应理论 多级评分模型 参数估计 CTT 

分 类 号：O211.67[理学—概率论与数理统计] O212.1[理学—数学]