摘要: |
针对参数假设检验中的两类错误概率关系问题,以单正态总体均值以及方差假设检验为例,通过检验所得的接受域和拒绝域,具体分析了假设检验的两类错误“弃真”和“取伪”概率的关系.该方法有效地补充了教材中在样本容量固定和控制第一类错误概率情形下两类错误概率变化关系的原理. |
关键词: 假设检验 两类错误 概率关系 |
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Probability Relation Analysis of Two Types of Errors in Single NormalPopulation Hypothesis Test |
GAO Fa ling1,LIU Chun xia2,SUN Jianying3,GUO Ping4
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Abstract: |
In view of two types of errors probability relationship in parameter hypothesis test,taking single normal population mean and variance hypothesis test for example,through the accepted domain and the rejection region by the test,probability relation of two types of errors in hypothesis test “abandoned the true” and “accept the bad” is analyzed. The method is an effective supplement for the principle of probability relationship of two types of errors under the condition of fixed sample capacity and controlling first type of error probability. |
Key words: hypothesis test two types of errors probability relation. |