方差未知的多总体均值检验的一种可行方法

摘要

本文对n个相互独立、服从正态分布总体的X1，X2，…，Xn的均值统计假设H0：μ1=μ2=…=μn的检验，进行了探讨.在方差σj2(j=1,2,…，n)未知，且σ12＝σ22＝…＝σn2的条件下，构造了Tn,T′n 统计量，给假设H0以快速检验提供了切实可行的方法.%In this paper,the mean check of the statistical hypothesis H0:μ1=μ2=…=μn is discussed.Here,sample population X1，X2,…,Xn are irrelevant each other and satisfy the normal distribution.Under the condition of σ12＝σ22＝…＝σn2 and σj2(j=1,2,…，n) is unknown,the statistic Tn and T′n are constructed,with which the quick check of the suppose H0 can be calculated.