再论检验矛盾及应对

假设检验对分布未知参数进行单边检验过程中,仅仅依靠常规形式检验容易产生“检验矛盾”,将以相当大的概率导致错误的判断,特别在工程、经济、科学研究等项目中作出类似错误的判断,将产生严重的危害。这里分析了当前检验理论的缺陷,针对检验矛盾,建构了相容性判别法,对检验理论作了重要补充,籍以提高假设检验的可靠度。

The Contradiction of Hypothesis Test and it's Resolution

In this paper we discuss the test contradiction in hypothesis test and point out that it will result in wrong judgment with quite large probability if we neglect it when testing unilaterally parameter of distribution function only by conventional test.Especially in engineering,economic and scientific research,the wrong judgment will lead to serious consequence.To overcome the shortcoming,we propose the compatibility judgment criteria to improve the reliability of hypothesis test,which can be considered as important supplement of the hypothesis test.