一类单边假设检验问题原假设和备择假设的判别分析  

Discriminant Analysis of Null and Alternative Hypothesis ofOne-sided Hypothesis Test

作　　者：周刚 赵文飞 黄咏芳 ZHOU Gang;ZHAO Wenfei;HUANG Yongfang(School of Basic Sciences for Aviation,Naval Aviation University,YanTai Shandong 264001,China;Yantai Nanshan University,LongKou Shandong 265700,China)

机构地区：[1]海军航空大学航空基础学院,山东烟台264001 [2]烟台南山学院,山东龙口265700

出　　处：《大学数学》2023年第3期88-92,共5页College Mathematics

基　　金：海军飞行人才应用数学课程教学创新团队(2019397)。

摘　　要：在单边假设检验问题中,原假设和备择假设的地位一般是不对等的,将两者互换就有可能得到矛盾推断.文章既给出了现有的解析方法,也从描述性统计和推断性统计相结合,以及控制第II类错误发生概率的角度给出了进一步的思考,合理解析了单边假设检验出现矛盾推断的难题.Although the null hypothesis and alternative hypothesis are two opposites of a one-sided hypothesis testing problem,the status is not equal,which are exchanged will leads to many contradictions.This paper not only gives the existing analytical method,but also gives further thinking from the combination of descriptive statistics and inference statistics,and the perspective of controlling the occurrence probability of class II error occurrence,and reasonably analyzes the difficult problem of contradictory conclusion in one-sided hypothesis testing.

关 键 词：统计学 原假设 备择假设 描述性统计 推断性统计 

分 类 号：O177.5[理学—数学]