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政大典藏 > College of Commerce > Department of Statistics > Theses > Item 140.119/87719

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/87719

Title:	最適行比較與列比較之行列設計 Optimal row-column design for comparing row effects and column effects
Authors:	朱佩玲 Chu, Pei-Ling
Contributors:	丁兆平 Ting, Chao-Ping 朱佩玲 Chu, Pei-Ling
Keywords:	Row-column design Universally optimal designs Uniformly optimal designs A-efficiency D-efficiency E-efficiency
Date:	1996
Issue Date:	2016-04-28 15:58:49 (UTC+8)
Abstract:	在行列設計(row-column design)的架構下，當行總和與列總和皆為總試驗處理數的倍數時，我們考慮行效果與列效果的相互比較之最適性。延續Shah和Sinha(1993)的結果，在給定行總和及列總和的情況下，我們導出達成齊一最適設計(uniformly optimal design)的充分條件。此外，當總實驗單位固定時，達成全域最適設計(universally optimal design)的充分條件亦被求出。我們同時列舉許多相關的設計排列法。 We consider the problem of comparing row effects and column effects in the row-column design setup when the row sizes and column sizes are all multiples of the number of treatments. Following the work of Shah and Sinha (1993), we derive a sufficient condition for uniformly optimal designs for given values of the row sizes and column sizes. We also derive a sufficient condition for universally optimal designs when the total number of experimental units is fixed. Several examples of designs with high efficiencies are provided.
Description:	碩士國立政治大學統計學系 84354016
Source URI:	http://thesis.lib.nccu.edu.tw/record/#B2002002413
Data Type:	thesis
Appears in Collections:	[Department of Statistics] Theses

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