一类Behrens-Fisher检验问题的解法

A Method of Solving One Sort of Behrens-Fisher Problems

对于在两个正态总体样本容量成整数倍时的Behrens-Fisher问题,利用配对试验的t检验法和随机检验的原理,给出了一种新的小样本检验方法,并说明该检验是一致最优势检验(UMPT).

In this paper, a new small sample testing method is presented for the Behrens-Fisher problem when the sample size of the first normal distribution is an integer multiple of the sample size of the second normal distribution. The principles of matching t-tests and random test are utilized in the new method. It is shown that the new t-test method is consistent with the most advantage test （UMPT）.