单边检验在方差检验中的局限性

On the Limitation of One-Tailed Test in Variance Test

论证了方差的原假设H0∶(σ2≤σ20)或(σ2≥σ02)只进行单边检验的局限性——只给出一个拒绝域是不够完善的;首次提出H0∶(σ2≤σ20)或(σ2≥σ02)进行双边检验的方法及双边拒绝域.

The article demonstrates the limitation of one-tailed test of variance with original hypothesis H0：（σ^2≤σ0^2）or（σ^2≥σ0^2） i.e. that variance test has only a rejection region, is inappropriate. The method of two-tailed test on Ho ： H0：（σ^2≤σ0^2） or σ^2≥σ0^2） and two-tailed rejection region were first advanced. The research result is important on application of variance test.