假設檢驗的幾點注記

時間：2024-11-01 04:08:34 數學畢業論文我要投稿

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關于假設檢驗的幾點注記

關于假設檢驗的幾點注記

摘要

本文對假設檢驗的基本概念、原理和思想作了深入淺出的綜述，在此基礎上對假設檢驗的相關知識作了幾點注記．主要討論了原假設和備擇假設的不同選取對假設檢驗結果的影響，提出了如何正確選取原假設和備擇假設的1般原則．另外，對假設檢驗中經常出現的兩類錯誤（第1類錯誤和第2類錯誤）也作了深入的探討，其中涉及到了兩類錯誤之間的關系，兩類錯誤對假設檢驗結果的影響以及如何有效的控制兩類錯誤使之達到令人滿意的程度等．
關鍵詞：假設檢驗; 原假設; 備擇假設; 第1類錯誤; 第2類錯誤

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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