[[alternative]]Some Multiple Decision Procedures For Testing Homogeneity of

[[abstract]]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