确定假设检验拒绝域的证据原理  被引量:4

Evidence Principle for Determine Rejection Region of Hypothesis Testing

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作  者:魏立力 张定强[2] WEI Li-li;ZHANG Ding-qiang(School of Mathematics and Statistics,Ningxia University,Yinchuan 750021,China;Research Center for the Education Development of Minorities,Northwest Normal University,Lanzhou 730070,China)

机构地区:[1]宁夏大学数学统计学院,宁夏银川750021 [2]西北师范大学西北少数民族教育发展研究中心,甘肃兰州730070

出  处:《数学的实践与认识》2018年第16期196-200,共5页Mathematics in Practice and Theory

基  金:宁夏研究生教育创新计划示范课程建设项目“数理统计引论”(YKC201603)

摘  要:基于假设检验的证伪逻辑,阐述了确定拒绝域的证据原理.假设检验的核心思想是考察样本提供的信息与原假设之间的不一致性,也即考察样本对备择假设成立是否提供有力证据.基于小概率原理的显著性水平只是证据不符程度的一个阈值而已,强调“反证法”的思想有可能会误入歧途.Based on the falsified logic of hypothesis testing, termining rejection region of hypothesis testing is expounded the evidence principle for de- The core idea of statistical hypothesis testing is to investigate the inconsistency between the information provided by the sample and the null hypothesis, which is to examine whether the sample provides strong evidence for the alternative hypothesis. The significance level based on the principle of small probability is only a threshold of the degree of inconsistency of the evidence, and the idea of "proof by contradiction" is emphasized can go astray.

关 键 词:假设检验 拒绝域 证据原理 

分 类 号:O212[理学—概率论与数理统计]

 

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