列联表的数据还原算法  

Data restoration algorithm of contingency table

作　　者：李光辉[1,2] 滕凯敏 赵海清 LI Guang-hui;TENG Kai-min;ZHAO Hai-qing(School of Sciences,Kaili University,Guizhou 556011,China;Kaili Statistics Bureau,Guizhou 556001,China;Lingnan Normal University,Zhanjiang 524048,China)

机构地区：[1]凯里学院理学院,贵州凯里556011 [2]凯里市统计局,贵州凯里556001 [3]岭南师范学院,广东湛江524048

出　　处：《青海师范大学学报（自然科学版）》2022年第3期45-53,96,共10页Journal of Qinghai Normal University(Natural Science Edition)

基　　金：国家自然科学基金青年项目(11901260);贵州省科学技术基金项目(黔科合基础[2020]1Y010)

摘　　要：很多情形下,我们获得的数据都是经过整理与加工的统计报表,列联表就是其中最重要的一类.如何通过现有的列联表资料推断出总体的信息,还原出原始数据并由此得到新的结论,这是一项十分有意义的工作.本研究通过构造列联表矩阵以及列联表集,使用广义逆来构造原始数据的还原算法,经过实例分析,显示效果良好.In many cases,the data we get are statistical reports after sorting and processing,and contingency table is the most important one.How to infer the overall information from the existing contingency table data,restore the original data and get a new conclusion is a very meaningful work.In this paper,by constructing contingency table matrix and contingency table set,and using generalized inverse to construct the restoration algorithm of original data,the example analysis shows that the effect is good.

关 键 词：列联表 广义逆矩阵 因子 处理 

分 类 号：O212.1[理学—概率论与数理统计]