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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

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

朱佩玲, Chu, Pei-Ling Unknown Date (has links)
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.

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