| dc.contributor.advisor | 丁兆平 | zh_TW |
| dc.contributor.advisor | Ting, Chao-Ping | en_US |
| dc.contributor.author (Authors) | 朱佩玲 | zh_TW |
| dc.contributor.author (Authors) | Chu, Pei-Ling | en_US |
| dc.creator (作者) | 朱佩玲 | zh_TW |
| dc.creator (作者) | Chu, Pei-Ling | en_US |
| dc.date (日期) | 1996 | en_US |
| dc.date.accessioned | 28-Apr-2016 15:58:49 (UTC+8) | - |
| dc.date.available | 28-Apr-2016 15:58:49 (UTC+8) | - |
| dc.date.issued (上傳時間) | 28-Apr-2016 15:58:49 (UTC+8) | - |
| dc.identifier (Other Identifiers) | B2002002413 | en_US |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/87719 | - |
| dc.description (描述) | 碩士 | zh_TW |
| dc.description (描述) | 國立政治大學 | zh_TW |
| dc.description (描述) | 統計學系 | zh_TW |
| dc.description (描述) | 84354016 | zh_TW |
| dc.description.abstract (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。 | zh_TW |
| dc.description.abstract (摘要) | 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. | en_US |
| dc.description.tableofcontents | ACKNOWLEDGMENT-----iCONTENTS-----iiABSTRACT-----iii1. INTRODUCTION-----12. PRELIMINARIES-----53. OPTIMAL DESIGNS FOR FIXED ROW SIZES (n.j.) ANDCOLUMNSIZES(n..k)-----114. OPTIMAL DESIGNS FOR FIXED TOTAL NUMBER OFEXPERIMENTALUNITS(n)-----27REFERENCES-----iv | zh_TW |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#B2002002413 | en_US |
| dc.subject (關鍵詞) | Row-column design | en_US |
| dc.subject (關鍵詞) | Universally optimal designs | en_US |
| dc.subject (關鍵詞) | Uniformly optimal designs | en_US |
| dc.subject (關鍵詞) | A-efficiency | en_US |
| dc.subject (關鍵詞) | D-efficiency | en_US |
| dc.subject (關鍵詞) | E-efficiency | en_US |
| dc.title (題名) | 最適行比較與列比較之行列設計 | zh_TW |
| dc.title (題名) | Optimal row-column design for comparing row effects and column effects | en_US |
| dc.type (資料類型) | thesis | en_US |
