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第 15 章直交表之應用 Application of Orthogonal Array

第 15 章直交表之應用 Application of Orthogonal Array. ‧ 把簡單弄複雜是找事,把複雜變簡單是本事。 ‧ 減少試驗因子組合之試驗方法 : 如 6 因子,每因子 2 變級,則有 2x2x2x2x2x2=64 處理組合,試驗因子組合多時 , 試驗不易執行 , 而將處理組合有條件的僅作 1/2 ,或 1/4 ,或 1/8 ,甚至更少組合之試驗。. 直交表之構成. 型. 直交表之構成. 複因子直交表之構成. 直交表之構成. A B AB C AC BC ABC

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第 15 章直交表之應用 Application of Orthogonal Array

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  1. 第15章直交表之應用Application of Orthogonal Array ‧把簡單弄複雜是找事,把複雜變簡單是本事。 ‧減少試驗因子組合之試驗方法: 如6因子,每因子2變級,則有2x2x2x2x2x2=64處理組合,試驗因子組合多時,試驗不易執行,而將處理組合有條件的僅作1/2,或1/4,或1/8,甚至更少組合之試驗。

  2. 直交表之構成 • 型

  3. 直交表之構成

  4. 複因子直交表之構成

  5. 直交表之構成 • A B AB C AC BC ABC • 1 2 3 4 5 6 7 • __________________________________________________________________________________________________________ • (1) 1 1 1 1 1 1 1 • c 1 1 1 2 2 2 2 • b 1 2 2 1 1 2 2 • bc 1 2 2 2 2 1 1 • a 2 1 2 1 2 1 2 • ac 2 1 2 2 1 2 1 • ab 2 2 1 1 2 2 1 • abc 2 2 1 2 1 1 2 • ______________________________________________________________________________________

  6. 直交表之構成

  7. 試驗資料統計分析

  8. 點線圖

  9. 試驗資料統計分析

  10. 各效應平方和求法

  11. 各效應平方和求 • 作畦平方和 • 品種與氮肥交感平方和 • 機差平方和

  12. 變方分析表 • 變因 自由度 平方和 均方 F值 F(0.05) • ________________________________________________________________________________________________________________________________ • A 1 0.125 0.125 <1 18.51 • B 1 55.125 55.125 88.20 • C 1 36.125 36.125 57.80 • D 1 6.125 6.125 9.80 • AxC 1 1.125 1.125 1.80 • Error 2 1.250 0.625 • _______________________________________________________________________________________________________________________________ • T 7 99.875

  13. 各因子變級平均值

  14. 最佳組合條件及推定值

  15. 最佳組合推定值95%信賴區間 • 19.375 2.0832 • 17.2918 21.4582

  16. THE END

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