多维项目反应理论模型中潜在特征变量的估计

发布时间：2018-03-09 15:01

本文选题：项目反应理论　切入点：三参数Logistic模型　出处：《东北师范大学》2017年硕士论文　论文类型：学位论文

【摘要】：本文主要探讨的是在多维的三参数Logistic(three-parameter logistic)模型中,对于潜在特征变量分组再基于精度进行加权的估计方法。对于在多维模型中其他的估计方法也进行了推导和效能研究。在最后的模拟研究中将基于精度加权的估计方法与其他的估计方法的平均偏差,绝对平均偏差,均方误差进行了比较。得出了相应的结论,这个基于精度加权的估计方法与其他的估计方法相比有着一定的优势。将它与最大似然估计,最大后验概率估计和加权最大似然估计作比较,得到了比较令人满意的结果。
[Abstract]:In this paper, we mainly discuss the multi-dimensional three-parameter Logistic(three-parameter logistic model. The estimation method for grouping potential feature variables is weighted based on precision. The other estimation methods in multidimensional model are also derived and the effectiveness is studied. In the final simulation study, the estimation based on precision weighting will be carried out. The average deviation between the calculation method and other estimation methods, The absolute mean deviation and mean square error are compared. The corresponding conclusion is drawn that this method based on precision weighting has some advantages over other estimation methods. The maximum posterior probability estimation and the weighted maximum likelihood estimation are compared and the results are satisfactory.
【学位授予单位】：东北师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：C815

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