统计假设检验中的三个决策准则

Three Decision Criteria in Statistical Hypothesis Test

假设检验和区间估计是推断统计的两个主要组成部分。探索用区间估计方法进行假设检验,不但能够用较为简单的估计方法完成较为复杂的假设检验,还能深化对两种推断统计方法的本质和联系的认识。文章在比较临界值准则和p值准则的基础上,探讨了区间估计准则的内容,证明了其和临界值准则、p值准则一样,是假设检验中的三个等价的决策准则。

Hypothesis test and interval estimation are two main components of inferential statistics.The exploration of using interval estimation methods for hypothesis testing can not only complete the complex hypothesis testing with relatively simple estimation methods,but also deepen the understandings of the nature and connection of the two inferential statistical methods.This paper is based onthe comparison of critical value criterion and p-value criterion to discuss the content of interval estimation criterion,and then proves that it is the same as the critical value criterion and the p-value criterion,which are the three equivalent decision criteria in hypothesis test.