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平衡区组正交表与正交表的比较及应用
引用本文:田金亭,张应山,张晓琴,潘长缘,甘媛源.平衡区组正交表与正交表的比较及应用[J].数学的实践与认识,2009,39(22).
作者姓名:田金亭  张应山  张晓琴  潘长缘  甘媛源
作者单位:1. 南京师范大学教育科学学院,江苏,南京,210097
2. 华东师范大学统计系,上海,200062
3. 山西大学数学科学学院,山西,太原,030006
摘    要:对平衡区组正交表和正交表进行的数据分析作了比较,表现出平衡区组正交表的优良性.给出了平衡区组正交表的应用实例,且对试验结果进行了分析.同时得出,分别用平衡区组正交表GL6(3221)和正交表L9(34)处理同一个问题时,所得试验结果一致.

关 键 词:区组设计  平衡区组正交表  正交表  统计模型  参数

The Comparison and Application of Balanced Block Orthogonal Arrays and Orthogonal Arrays
TIAN Jin-ting,ZHANG Ying-shan,ZHANG Xiao-qin,PAN Chang-yuan,GAN Yuan-yuan.The Comparison and Application of Balanced Block Orthogonal Arrays and Orthogonal Arrays[J].Mathematics in Practice and Theory,2009,39(22).
Authors:TIAN Jin-ting  ZHANG Ying-shan  ZHANG Xiao-qin  PAN Chang-yuan  GAN Yuan-yuan
Abstract:This paper deals with comparisons on the data analysis between balanced block orthogonal arrays and orthogonal arrays, and find the excellent property of balanced block orthogonal arrays. Subsequently, The application of balanced block orthogonal arrays is also referred, we do some analysis on its experiment results. At the same time, we get that the experiment results of balanced block orthogonal arrays and orthogonal arrays is consistent.
Keywords:block designs  balanced block orthogonal arrays  orthogonal arrays  statistical models  parameter
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