【正文】
3) The following is are conditions for a DOE: 下列是一個 DOE的條件: Account Manager 客戶經(jīng)理 Joe, Sue, Kelly, amp。 You are put in charge of this improvement project. 你 將 負責(zé)該項目 How would you approach this problem? 你將 怎樣 來 解決 這 個 問題 呢 ? 35 The Standard Design 直升機的標準設(shè)置 別針處 Factor因子 Standard標準 () Paper Clip 別針 無 Wing Width 機翼寬度 寬 Body Length機身長度 長 Wing Length機翼長度 長 可變化方式 (+) 裁開 折線 (1/3 處 ) 裁開 折線 1CM 有 窄一半 短 3CM 短 1CM 別針 機翼寬度 機身長度 機翼長度飛行時間 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 標準順序 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 全因子實驗結(jié)果記錄 36 Reducing the Size of Experiments 減少試驗次數(shù) 37 38 部分因子 DOE學(xué)習(xí)目的 Recognize the need of DOE design to reduce number of experimental runs 認識減少 DOE設(shè)計的試驗次數(shù)的必要性 Define factional factorial DOE 定義部分因子 DOE Describe the generation of a half fractional factorial DOE design. 描述半因子 DOE設(shè)計的產(chǎn)生 Define and explain “Confounding” 定義和解釋“混淆”的概念 需要運行多少次實驗 ... 對于有 k個因素的 2 水平全因子試驗試驗次數(shù) =2k Number of Factors 1 2 3 4 5 6 7 8 9 10 ? ? ? 15 ? ? ? 20 2 4 8 16 32 64 128 256 512 1024 ? ? ? 32,768 ? ? ? 1,048,576 ? The factorial strategy is an efficient approach to experimentation as pared to “one at a time.” 全因子的設(shè)計方法與“一次只考慮一個因素”的方法相比,更高效全面 ? This can result in a large number of runs, even with a relatively small number of factors. 即使因素相對較少,試驗次數(shù)也很可觀 Number of Runs 39 從 2的階乘實驗中可以獲得的信息 Number of Factors 1 2 3 4 5 6 7 8 9 10 ? ? ? 15 ? ? ? 20 1 2 3 4 5 6 7 8 9 10 ? ? ? 15 ? ? ? 20 Main Effects 2way Interactions – 1 3 6 10 15 21 28 36 45 ? ? ? 105 ? ? ? 190 Higher Order Interactions – – 1 5 16 42 99 219 466 968 ? ? ? 32,647 ? ? ? 1,048,365 因子數(shù) 主效應(yīng) 兩因素相互作用 更高的相互交互作用 40 可獲得信息的例子 ... ...from a Full Factorial (4 Factors) 4個因子的全因子實驗可獲得的信息 Overall Average 平均值 Main effects主效應(yīng) : A B C D 2way interactions2因子相互作用 : AB AC AD BC BD CD 3way interactions3因子相互作用 : ABC ABD ACD BCD 4way interactions4因子相互作用 : ABCD Number 1 4 6 4 1 41 Reducing the Size of a Factorial Experiment 減少實驗次數(shù) – + – + – + – + A 1 2 3 4 5 6 7 8 Std. Order – – + + – – + + B – – – – + + + + C Equipment delays allow you time to run only 4 trials in the allotted time. Which 4 trials will you choose? 如果只允許進行 4次試驗,你會怎樣選擇? A B C 7 8 3 4 5 6 1 2 42 Choosing the Half Fraction 半因子設(shè)計 – + – + – + – + A Std. Order – – + + – – + + B – – – – + + + + C 1 2 3 4 5 6 7 8 We can select: A B C 7 8 3 4 5 6 1 2 or The 4 shaded trials4個有陰影的實驗 + – + A – + – + B – – + + C Std. Order 2 3 5 8 The 4 unshaded trials 4個無陰影的實驗 , – + + – A – + – + B – – + + C Std. Order 1 4 6 7 Half Fraction designs use Half the runs of Full Factorial designs. 半因子設(shè)計只用全因子設(shè)計試驗次數(shù)的一半 Design設(shè)計 Number of runs實驗次數(shù) Full Factorial全因子 2k = 23 = 8 Half Fraction 半因子 2k1 = 231 = 22 = 4 43 Constructing a Half Fraction for Four Factors 4因子的半因子實驗設(shè)計 A B – + – + – + – + – – + + – – + + – – – – + + + + C – + + – + – – + D = ABC Full factorial for 3 factors 3因子的全因子設(shè)計 List the full factorial for three factors. This is called the base design. 列出 3個因子的全因子試驗 The fourth factor is assigned to the 3factor interaction for the oth