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
刘艳丽 1赵胜利2
作者信息
- 1. 曲阜师范大学期刊中心
- 2. 曲阜师范大学统计与数据科学学院,273165,山东省曲阜市
- 折叠
摘要
研究了具有非齐次方差的正交试验数据的假设检验方法.在正交试验的数据分析中,F检验是判断因子效应显著性的常用方法之一.在F检验中,通常假设各个处理下误差方差是相等的,然而,实际情况并非总是如此.该文针对各个处理下误差方差不相等的情形提出新的检验方法.模拟结果表明,在这种情形下新检验方法比F检验能更精准地控制出现第一类错误的概率.
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引用本文复制引用
出版年
2024
国家科技期刊平台
NSTL
万方数据