一种求解假设检验拒绝域和计算p-值的系统化方法  被引量:1

A systematic method for solving rejection region and calculating p-value in hypothesis testing

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作  者:郭三刚[1] 张琳[1] GUO San-gang;ZHANG Lin(School of Mathematics and Computer Science, Shaanxi University of Technology, Hanzhong 723000,China)

机构地区:[1]陕西理工大学数学与计算机科学学院,陕西汉中723000

出  处:《陕西理工大学学报(自然科学版)》2018年第6期71-77,共7页Journal of Shaanxi University of Technology:Natural Science Edition

基  金:国家自然科学基金资助项目(11705113);陕西理工大学教改项目(SLGYJG1609)

摘  要:提出了假设检验中零假设拒绝域和检验的p-值的系统化求解方法,证明了该方法保证p-值检验的完备性,即当p-值大于给定显著性水平时,接受零假设;否则,拒绝零假设而接受备择假设。A systematic method was proposed for solving rejection region and p-value in hypothesis testing,the completion of p-value hypothesis testing method was also showed if p-value was calculated by the proposed method,i.e.,the null hypothesis is accepted if p-value is greater than the given significant level,oth-erwise the null hypothesis is rejected and the alternative hypothesis is accepted.

关 键 词:假设检验 零假设 备择假设 拒绝域 小概率事件推理原理 p-值 p-值检验 

分 类 号:O212.7[理学—概率论与数理统计]

 

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