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關(guān)于假設(shè)檢驗(yàn)的幾點(diǎn)注記
關(guān)于假設(shè)檢驗(yàn)的幾點(diǎn)注記
摘要
本文對(duì)假設(shè)檢驗(yàn)的基本概念、原理和思想作了深入淺出的綜述，在此基礎(chǔ)上對(duì)假設(shè)檢驗(yàn)的相關(guān)知識(shí)作了幾點(diǎn)注記．主要討論了原假設(shè)和備擇假設(shè)的不同選取對(duì)假設(shè)檢驗(yàn)結(jié)果的影響，提出了如何正確選取原假設(shè)和備擇假設(shè)的1般原則．另外，對(duì)假設(shè)檢驗(yàn)中經(jīng)常出現(xiàn)的兩類錯(cuò)誤（第1類錯(cuò)誤和第2類錯(cuò)誤）也作了深入的探討，其中涉及到了兩類錯(cuò)誤之間的關(guān)系，兩類錯(cuò)誤對(duì)假設(shè)檢驗(yàn)結(jié)果的影響以及如何有效的控制兩類錯(cuò)誤使之達(dá)到令人滿意的程度等．
關(guān)鍵詞：假設(shè)檢驗(yàn); 原假設(shè); 備擇假設(shè); 第1類錯(cuò)誤; 第2類錯(cuò)誤
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
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