曲阜师范大学学报（自然科学版）2024，Vol.50Issue(3)：34-40,7.DOI:10.3969/j.issn.1001-5337.2024.3.034
重复正交试验中因子效应的假设检验
Hypothesis testing for factorial effects in replicated orthogonal experiment
摘要
Abstract
This paper studies the testing method for data from orthogonal experiments with heteroge-neous variances.In the data analysis of orthogonal experiments,the F test is one of the most used methods to test the significance of the effects of the factors.In the Ftest,it is usually assumed that the variances of the errors under different treatments are equal to each other.However,it is not always so in practice.This paper proposes a new testing method for the occasions that the variances of the errors under different treat-ments are unequal to each other.Simulation studies show that,under such occasions,the new method can control the probability of type one error more accurately than the F test.关键词
正交表/正交试验/F检验Key words
orthogonal array/orthogonal experiment/F test分类
数理科学引用本文复制引用
刘艳丽,赵胜利..重复正交试验中因子效应的假设检验[J].曲阜师范大学学报（自然科学版）,2024,50(3):34-40,7.基金项目
国家自然科学基金(12171277). （12171277）
