研究生: |
林晶璟 Lin, Ching-Ching |
---|---|
論文名稱: |
常態平均數與變異數均齊性檢定之多重決策程序 Some Multiple Decision Procedures For Testing Homogeneity of |
指導教授: |
黃登源
Huang, Deng-Yuan |
學位類別: |
博士 Doctor |
系所名稱: |
數學系 Department of Mathematics |
畢業學年度: | 84 |
語文別: | 中文 |
論文頁數: | 81 |
中文關鍵詞: | 多重決策 、珈瑪分配 、無心卡方分配 、無心F分配 |
英文關鍵詞: | multiple decision, gamma distribution, noncentral chi-square distribution, noncentral F distribution |
論文種類: | 學術論文 |
相關次數: | 點閱:194 下載:4 |
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本文主要討論下列三種檢定的問題:k組常態母體平均數均齊性檢定,變異
數均齊性檢定及常態母體分配一致性檢定.對此三種檢定問題,均分別定義
統計量,討論統計量的分配,利用近似分配找出臨界值的解析解,並對近似
分配的誤差利用SAS機率函數或用模擬的方法來做比較,討論其誤差的範
圍.每種檢定均提出決策準則並計算正確決策之機率.
In this paper, three testing problems have been studied: Testing
homogeneity of normal means, testing homogeneity of normal
variances and testing the consistence of two normal populations.
In each testing problem, we propose a multiple decision
procedure, solve the critical value analytically and find the
probability of correct decision.
In this paper, three testing problems have been studied: Testing