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題 名 | 當某些對照處理之觀測值漏失時集區設計之穩健性之探討=Robustness of Block Designs When Some Observations of the Control Treatment Are Missing |
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作 者 | 丁兆平; 郎冰瑩; 蔡風順; | 書刊名 | 中國統計學報 |
卷 期 | 34:1 1996.03[民85.03] |
頁 次 | 頁66-78 |
分類號 | 319.71 |
關鍵詞 | 集區設計; 殘留設計; 穩健設計; A效率值; Block designs; Residual designs; BTBD; Criteria of robustness; A-efficiency; |
語 文 | 中文(Chinese) |
中文摘要 | 本文主要是在探討集區設計對觀測值漏失時之穩健性。文中求出任一集區設計,當某一集區內漏失t個對照處理之觀測值時,該設計仍維持穩健之充要條件;一個計算上較簡單之充份條件亦在文中給出。殘留設計之A效率值之上下限也在文中求出。一些特殊形式之BTBD之A效率值可準確算出,實例亦在最後一節中列出。 |
英文摘要 | Robustness of block designs with missing data is investigated. A necessary and sufficient condition for the robustness of an arbitrary block design is derived when t observations of the control treatment in a block are missing. A simpler sufficient condition is also provided. A lower bound and an upper bound to the efficiency of the residual designs are obtained as well The robustness of some special BTBD’s is also discussed. |
本系統中英文摘要資訊取自各篇刊載內容。