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    政大機構典藏 > 商學院 > 統計學系 > 學位論文 >  Item 140.119/87719


    请使用永久网址来引用或连结此文件: https://nccur.lib.nccu.edu.tw/handle/140.119/87719


    题名: 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
    作者: 朱佩玲
    Chu, Pei-Ling
    贡献者: 丁兆平
    Ting, Chao-Ping
    朱佩玲
    Chu, Pei-Ling
    关键词: Row-column design
    Universally optimal designs
    Uniformly optimal designs
    A-efficiency
    D-efficiency
    E-efficiency
    日期: 1996
    上传时间: 2016-04-28 15:58:49 (UTC+8)
    摘要: 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.
    描述: 碩士
    國立政治大學
    統計學系
    84354016
    資料來源: http://thesis.lib.nccu.edu.tw/record/#B2002002413
    数据类型: thesis
    显示于类别:[統計學系] 學位論文

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