A LINEAR COMPOSITE METHOD FOR TEST SCORES WITH MISSING VALUES

缺失值测试成绩的线性复合方法

• 批准号: 10680315
• 负责人: SHIBAYAMA Tadashi
• 金额: $ 1.22万
• 依托单位: NIIGATA UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1998
• 资助国家: 日本
• 起止时间: 1998 至 1999
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10680315/
• 关键词: INCOMPLETE DATA; MISSING VALUES; COMPOSITE SCORES; INDIVIDUAL DIFFERENCES; MANOVA; ENTRANCE EXAMINATION; CANANICAL ANALYSIS; 大学入試; 選択科目; 入試; 主成分分析; 難易度調整

Here I present a linear composite method for incomplete data. The method is based on the least squares criterion and can obtain solutions analytically in such a way that is individual differences are maximized allowing for differences between means of variables. If a data matrix is complete, the method is equivalent to ordinary PCA. A simulation study is given in order to demonstrate the efficacy of the method.

在这里，我提出了一种不完全数据的线性合成方法。该方法以最小二乘准则为基础，通过考虑变量均值之间的差异，最大化个体差异，以解析的方式获得解。如果一个数据矩阵是完备的，则该方法等价于普通的主成分分析。为了验证该方法的有效性，给出了一个仿真研究。