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二、三水平正交试验广义方差分析的探讨及应用
引用本文:陈凤英.二、三水平正交试验广义方差分析的探讨及应用[J].天津师范大学学报(自然科学版),2013,33(3):12-16.
作者姓名:陈凤英
作者单位:天津电子信息职业技术学院,天津,300350
摘    要:应用多元线性模型理论和最小二乘法推导出二、三水平多指标正交表的列效应矩阵公式及其概率分布,从而得到二、三水平正交试验的广义方差分析的检验统计量,进而对因子效应进行显著性检验,作定量分析.

关 键 词:多指标正交表  多元线性模型  效应矩阵  误差矩阵  广义方差分析

Discussion and application of analysis of general variance for two and three level orthogonal experiments
CHEN Fengying.Discussion and application of analysis of general variance for two and three level orthogonal experiments[J].Journal of Tianjin Normal University(Natural Science Edition),2013,33(3):12-16.
Authors:CHEN Fengying
Institution:CHEN Fengying(Tianjin Electronic Information and Vocational Technology College,Tianjin 300350,China)
Abstract:The effect matrix of column of two and three level multi index orthogonal array and its probability distribution are deduced by using multivariate linear model and least square method.And the test statistics for the analysis of general variance is obtained,to carry out significance testing and quantitative analysis for the factor.
Keywords:multi index orthogonal array  multivariate linear model  effect matrix  error matrix  analysis of general variance
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