多总体方差检验之探讨

Research on Check for Multi-Population Variance

本文对几个总体的方差假设 H_0:σ_1~2=σ_2~2=…σ_n^2(σ_0已知)的检验进行了探讨.在其均值μ_j(j=2,2…,n)已知或未知的条件下,分别构造了统计量χ_n 及χ′_n.给 H_0的快速检验提供了可行性方法.

In the article,the check for the n population variance,assuming H_0:σ_n^3=σ_2~2= …=σ_n^2(σ_0 is known),is discussed in detail.When its mean value μ_j(j=1,2,…,n) is known or unknown,statistic X_n and X_n are created separatedly.At the same time,the feasibility method is also provided for rapid checking H_0.