摘要
提出一种异方差分析方法,包括异均值方差分析和异均值异方差分析。前者在方差齐性的条件下,能够检验多个正态母体是否具有某种不同的均值,并对未知参数进行估计;后者则可以在方差不满足齐性的条件下,对多个正态母体是否具有某种不同的均值进行检验。文中还给出一种多母体异方差检验方法,能够检验多个正态母体是否具有某种不同的方差。它们在功能上已与传统的方差分析完全不同,异方差分析方法可以对工程中使用越来越广泛的仿真和数字化设计的结果进行小样本检验,并对其进行修正。
A method for heteroscedastic analysis is presented, which includes the homoscedastic and the heteroscedastic analysis of different means. It can test whether the multiple populations have a certain kind of different means, and estimate their parameters. A method for testing whether the multiple populations have a certain kind of different variances is also given. They are entirely different from the traditional analysis of variance and Bartlett method in function. Then the presented methods can be used to test and modify results of the simulation and the digital design with small sample, and have been used in the reliability assessment of aircraft and satellites successfully.
出处
《机械强度》
EI
CAS
CSCD
北大核心
2005年第2期196-201,共6页
Journal of Mechanical Strength
基金
国防科技预研项目(413200204)资助~~
关键词
方差分析
小样本
检验
仿真
数字化设计
Variance analysis
Small sample
Test
Simulation
Digital design
