约束统计方法在学生成绩分析中的应用

The application of order restricted statistical methods in the analysis of the students' marks

在序约束下对大学生的学习成绩进行统计分析、建模,利用PAVA算法,给出了模型参数的约束极大似然估计;针对学生在校学习的实际情况,从学生成绩出发,给出了模型参数序关系的似然比检验方法,揭示了大学生学习成绩的变化趋势.

This paper studies college students＇ learning achievements under the order restriction by statistical analysising and modeling. With using PAVA algorithm,it gives the restricted maximum likeli- hood estimation of parameters of the model. According to the actual situation of students~ learning in school,it gives the likelihood ratio tests of the order of the model＇s parameters from the practical achievements of students and reveals the trend of college students＇ learning a-hievements.