用EQQ图评估高考作文试卷评分质量

北京大学学报（自然科学版）

用EQQ图评估高考作文试卷评分质量

张道奎, 孙山泽

北京大学概率统计系，北京，100871

收稿日期:1995-09-11 出版日期:1996-01-20 发布日期:1996-01-20

Evaluation on Justice in Grading Compositions of Enrollment Exams with EQQ Chart

ZHANG Daokui, SUN Shanze

Department of Probability and Statistics, Peking University, Beijing, 100871

Received:1995-09-11 Online:1996-01-20 Published:1996-01-20

摘要/Abstract

摘要： 讨论了对高考作文评分进行监控的一种有效方法，建立了相应的统计模型。高考语文卷的作文分和知识题分具有群体相关，分布的分位数之间有线性关系，由样本得出此线性关系的参数的最小二乘估计。讨论了所得估计的大样本性质。证明估计量是渐近正态的。由此构造出对作文评分进行监控的EQQ控制图。

关键词: 误差控制, 群体相关, EQQ图, 控制带

Abstract: It present a method for evaluation on justice in grading compositions of enrollment exams and discuss its statistical model. We discovered the distributions of grades of compositions and grades of other questions are similar in Chinese exams. There is a linear correlation between qauntiles of two distribution fuctions. The MLE's of parameters of the linear correlation are asymptotic normal. Finally we presented the EQQ Chart for evaluati on on justice in grading compositions.

Key words: error control, cluster correlation, EQQ chart, control range

中图分类号:

O212.2

张道奎, 孙山泽. 用EQQ图评估高考作文试卷评分质量[J]. 北京大学学报（自然科学版）.

ZHANG Daokui,SUN Shanze. Evaluation on Justice in Grading Compositions of Enrollment Exams with EQQ Chart[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.

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https://xbna.pku.edu.cn/CN/Y1996/V32/I1/1