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政大典藏 > College of Commerce > Department of Statistics > Periodical Articles > Item 140.119/66647

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Title:	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
Other Titles:	Robustness of Block Designs When Some Observations of the Control Treatment Are Missing
Authors:	丁兆平; 郎冰瑩 ; 蔡風順 Ting, Chao-Ping;Lin, Bing-Ying;Chai, Feng-Shun
Contributors:	統計系;應數系
Keywords:	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
Date:	1996.03
Issue Date:	2014-06-10 17:57:11 (UTC+8)
Abstract:	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。 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.
Relation:	中國統計學報, 34(1), 66-78
Data Type:	article
Appears in Collections:	[Department of Statistics] Periodical Articles

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