| 正交平衡区组设计的替换构造 |
| |
| 引用本文： | 张明珠,吴亚桢,张建军,田萍,张应山.正交平衡区组设计的替换构造[J].山西大学学报(自然科学版),2012(3):472-477. |
| |
| 作者姓名： | 张明珠 吴亚桢 张建军 田萍 张应山 |
| |
| 作者单位： | 许昌学院数学与统计学院;华东师范大学金融与统计学院 |
| |
| 基金项目： | 教育部高等学校博士学科点专项基金(44k550500);河南省教育厅科学技术研究重点项目(12A110022);河南省科技厅项目(122300410269) |
| |
| 摘 要： | 在正交平衡区组具有正交性的基础上,利用正交表的构造方法,基于区组变换、交换和增列等构造技术,提出三种新的正交平衡区组替换构造方法.分析显示,新构造的区组具有组内正交性和平稳性,且区组设计是饱和的.算例表明,利用正交平衡区组的替换构造设计,可明显减小实验次数.
|
| 关 键 词： | 正交 平衡 区组设计 替换构造 穷举法 |
Replacement Construction of Orthogonal Balanced Block Designs |
| |
| ZHANG Ming-zhu,WU Ya-zhen,ZHANG Jian-jun,TIAN Ping,ZHANG Ying-shan.Replacement Construction of Orthogonal Balanced Block Designs[J].Journal of Shanxi University (Natural Science Edition),2012(3):472-477. |
| |
| Authors: | ZHANG Ming-zhu WU Ya-zhen ZHANG Jian-jun TIAN Ping ZHANG Ying-shan |
| |
| Institution: | 1.School of Mathematics and Statistics,Xuchang University,Xuchang 461000,China; 2.School of Finance and Statistics,East China Normal University,Shanghai 200241,China) |
| |
| Abstract: | Based on the orthogonal basis of orthogonal balanced block designs(OBBD),the three novel design procedures about replace construction of OBBD are introduced using the stucture method of orthogonal arrays.Some new OBBD are obtained through replace construction technologies,such as columns conversion,exchange and addition,application to block designs.The analysis shows that the new OBBD is orthogonal and balance,and block designs is saturated.The results of some examples show that the test frequency was obviously decreased through the replace construction designs of OBBD. |
| |
| Keywords: | orthogonality balance block designs replace construction method of exhaustion |
| 本文献已被 CNKI 等数据库收录！ |
|
