| 约束统计方法在学生成绩分析中的应用 |
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| 引用本文： | 王思洋,王瑞庭,尚婵娟,王德辉.约束统计方法在学生成绩分析中的应用[J].东北师大学报(自然科学版),2009,41(2). |
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| 作者姓名： | 王思洋 王瑞庭 尚婵娟 王德辉 |
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| 作者单位： | 吉林大学数学学院,吉林,长春,130012 |
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| 基金项目： | 国家自然科学基金，高等学校博士学科点专项科研基金 |
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| 摘 要： | 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.
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| 关 键 词： | 极大似然估计 保序回归 PAVA算法 |
The application of order restricted statistical methods in the analysis of the students' marks |
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| WANG Si-yang,WANG Rui-ting,SHANG Chan-juan,WANG De-hui.The application of order restricted statistical methods in the analysis of the students' marks[J].Journal of Northeast Normal University (Natural Science Edition),2009,41(2). |
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| Authors: | WANG Si-yang WANG Rui-ting SHANG Chan-juan WANG De-hui |
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| Institution: | WANG Si-yang,WANG Rui-ting,SHANG Chan-juan,WANG De-hui(College of Mathematics,Jilin University,Changchun 130012,China) |
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| Abstract: | 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 likelihood 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 achievements. |
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| Keywords: | maximum likelihood estimation isotonic regression PAVA algorithm |
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