臺灣博碩士論文加值系統

當有下面兩種情況之一時，我們會採用裂區設計來進行實驗；第一是：實驗中有些因子需要利用較大的實驗個體(experimental units)，而其他因子利用較小的實驗個體時。第二是：有些實驗因子由於成本或時間等耗費因素，導致水準值難以變換。
而過去的研究中，多是利用搜尋法的方式來找到最小偏誤裂區設計，並將找到的結果記錄在表格中，以提供實驗者依照自身情況來選擇適當的設計。本研究則是希望可以提供一個簡單且快速的方法，讓實驗者可以迅速地找到符合需求的實驗，以節省實驗者的時間。所以本研究針對最常使用之16及32條實驗徑的裂區設計提供一個重排直交表及重排順序，並按照重排順序依序去指派實驗的因子，以取得最小偏誤部分因子裂區設計。

There are two possible scenarios for using split-plot designs. First, in some experiments, several factors must be applied in larger experimental units while other factors are applied in comparatively smaller experimental units. Second, when the levels of some factors are easy to change, while the alteration of levels of other factors are costly, or time- consuming.
The usefulness of such designs is obvious. To find good designs for split-plot experiments previous researchers created algorithm to search. As general fractional factorial design, researchers used minimum aberration rule to obtain good designs.
In this research, we created two sequences for assignment to obtain minimum aberration split-plot designs: one for 16 runs and the other for 32 runs. Assigning factors to these sequences with some rules, we can easily obtain minimum aberration split-plot designs.

目錄:
長庚大學博碩士論文著作授權書 -iii-
誌謝 -iv-
中 文 摘 要 -v-
Abstract -vi-
目 錄 -vii-
表 目 錄 -viii-
第一章 緒 論 - 1 -
第二章 文 獻 探 討 - 8 -
2.1 部分因子設計 - 10 -
2.1.1 衍生設計法 - 12 -
2.1.2 直交設計法 - 13 -
2.2 偏誤準則 - 15 -
2.3 裂區設計 - 16 -
2.4 Wang (2010)法 - 17 -
2.5 高雨夢(2011)法 - 19 -
2.5.1 2^((n_1+n_2)-(0+1))設計 - 19 -
2.5.2 實驗徑為8的最小偏誤裂區設計 - 20 -
2.5.3 實驗徑為16的最小偏誤裂區設計 - 21 -
2.5.4 實驗徑為32的最小偏誤裂區設計 - 23 -
第三章 最小偏誤部分因子裂區設計 - 26 -
3.1 實驗徑16的最小偏誤部分因子裂區設計 - 27 -
3.2 實驗徑32的最小偏誤部分因子裂區設計 - 36 -
第四章 結 論 - 50 -
參 考 文 獻 - 52 -

表目錄:
表2- 1 26-2部分因子設計(加增因子為D、F) - 13 -
表2- 2 直交表OA8(27) - 14 -
表3- 1 OA16(215)重排直交表 - 27 -
表3- 2 6~8個因子且實驗徑16的裂區設計 - 29 -
表3- 3 9~11個因子且實驗徑16的裂區設計 - 30 -
表3- 4 12~15個因子且實驗徑16的裂區設計 - 31 -
表3- 5 6~8個因子且實驗徑16之裂區設計的字長類型 - 34 -
表3- 6 9~11個因子且實驗徑16之裂區設計的字長類型 - 35 -
表3- 7 12~15個因子且實驗徑16之裂區設計的字長類型 - 36 -
表3- 8 OA32(221)重排直交表 - 38 -
表3- 9 7~9個因子且實驗徑32的裂區設計 - 41 -
表3- 10 10~12個因子且實驗徑32的裂區設計 - 42 -
表3- 11 13~15個因子且實驗徑32的裂區設計 - 43 -
表3- 12 7~9個因子且實驗徑32之裂區設計的字長類型 - 45 -
表3- 13 10~12個因子且實驗徑32之裂區設計的字長類型 - 46 -
表3- 14 13~15個因子且實驗徑32之裂區設計的字長類型 - 47 -
表3- 15 10個因子且實驗徑32的裂區設計 - 49 -
表3- 16 10個因子且實驗徑32之裂區設計的字長類型 - 49 -

高雨夢 (2011)，〈裂區實驗的最小偏誤設計〉，長庚大學，碩士論文。
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