方差分析中的几个问题

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翻新时间：2022-08-11

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方差分析中的几个问题

摘要

本文首先简单介绍了方差分析的3种情形，分别是单因素方差分析，无交互作用的双因素方差分析和有交互作用的双因素方差分析，并重点讨论了方差分析的3个使用条件即正态分布，方差齐性和试验独立.然后讨论了方差齐性的假设检验，相关样本的假设检验，以及方差分析中试验误差的影响问题.最后发现在进行方差分析中，要减少犯第2类错误的概率，必须减少试验误差.

关键词:方差分析；方差齐性；试验误差

Some Problems in Variance Analysis

ABSTRACT

In this article, we first simply introduce three kinds of situations of the variance analysis. They are one factor variance analysis, two factor variance analyses which don’t have and have the correlation. We emphatically discuss three exploitation conditions of the variance analysis which are the normal distribution, the variance homogeneity and the independent experiment. Latter we discuss the test of the homogeneity of variance, the hypothesis testing of correlated samples, and the influence of experiments erroneous in the variance analysis. Finally we find that in carries on the variance analysis, want to reduce violates the second kind of wrong probability, must reduce the experimental error.

Keywords: variance analysis; homogeneity of variance; experimental error