关于假设检验的几点注记

关于假设检验的几点注记
 
摘要

 本文对假设检验的基本概念、原理和思想作了深入浅出的综述，在此基础上对假设检验的相关知识作了几点注记．主要讨论了原假设和备择假设的不同选取对假设检验结果的影响，提出了如何正确选取原假设和备择假设的1般原则．另外，对假设检验中经常出现的两类错误（第1类错误和第2类错误）也作了深入的探讨，其中涉及到了两类错误之间的关系，两类错误对假设检验结果的影响以及如何有效的控制两类错误使之达到令人满意的程度等．
关键词：假设检验; 原假设; 备择假设; 第1类错误; 第2类错误

Some Notes on Hypothesis Testing 
 
ABSTRACT

In this article we have made a survey of the basic concept and principle and thoughts of hypothesis testing , on which made some notes .We have mainly discussed  the different selection of the original hypothesis and the alternative hypothesis which affected the result of hypothesis testing , and put forward a general principle how to select correctly the original hypothesis and the alternative hypothesis. Besides, we have studied deeply error of two kinds which appeared frequently in the hypothesis testing  (error of the first kind and error of the second kind), including the relations to error of two kinds and its effect to the result of hypothesis testing and the effective control of error of two kinds so as to be satisfying and etc.
Key words: Hypothesis testing ; Original hypothesis; Alternative hypothesis; Error of the first kind ; Error of the second kind