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关于假设检验的一种合理推导
引用本文:娄银霞.关于假设检验的一种合理推导[J].电子设计工程,2012,20(20):33-35.
作者姓名:娄银霞
作者单位:商丘师范学院计算机与信息技术学院,河南商丘,476000
摘    要:鉴于假设检验在统计推断中的重要地位和学习它的困难度,通过讨论两类错误的产生与控制,结合概率论中的"小概率原理"和逻辑方法中的"反证法",给出了一种清晰简便的假设检验推导和推理方法。该方法适用于一个总体下总体均值、总体比例、总体方差的检验,也适用于两个个总体下总体均值、总体比例、总体方差的检验。检验结果表明,该推理方法简便、自然、适宜推广。

关 键 词:假设检验  均值  正态分布  χ2分布

A reasonable derivation to hypothesis testing
LOU Yin-xia.A reasonable derivation to hypothesis testing[J].Electronic Design Engineering,2012,20(20):33-35.
Authors:LOU Yin-xia
Affiliation:LOU Yin-xia(College of Computer and IT,Shangqiu Normal University,Shangqiu 476000,China)
Abstract:In view of hypothesis testing plays an important role in statistical inference and learning hypothesis testing extremely difficult,By discussing two types of errors to produce and control two types of errors,combined with probability theory of the"small probability theory" and logic approach of the "reductio ad absurdum",given a clear and simple method of hypothesis testing Deduction and reasoning.The method is suitable for the inspection of an overall population mean,the overall proportion of the population variance,also applies to the next two months the overall population mean,the overall proportion of the overall variance of the test.The test results show that the reasoning method is simple,natural,suitable for promotion.
Keywords:hypothesis test  mean  normal distribution  chi-distribution
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