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ough Technologies, Inc. Used with permission. Copyright 2023 Cummins, Inc. All Rights Reserved. 執(zhí)行 RR 研究的步驟 Procedure for Performing RR Study ? 校準量具或者確認它們已經(jīng)被校準過 Calibrate the gage, or ensure that it has been calibrated ? 在 Minitab中建立數(shù)據(jù)矩陣,并確認它們已經(jīng)被隨機化 Set up your data matrix in Minitab. Be sure to randomize ? 讓操作員以隨機順序測量樣本 Have operators measure the samples in random order ? 在 Minitab中分析數(shù)據(jù)來確定 RR的統(tǒng)計值 Analyze data in Minitab to determine the statistics of RR study ? 重復(fù)性 Repeatability ? 再現(xiàn)性 Reproducibility ? 上述之標準差 Standard deviations of each of the above ? % RR ? % P/T ? 分析結(jié)果并確定進一步行動 Analyze results and determine followup action, if any 019 MSA21 Effective Date: 2/2023 Copyright 20232023 Sigma Breakthrough Technologies, Inc. Used with permission. Copyright 2023 Cummins, Inc. All Rights Reserved. 樣本大小的問題 Sample Size Issues ? 操作員的數(shù)量 Number of operators ? 如果流程使用多個操作員,隨機選擇 2- 4個 If process uses multiple operators, choose 24 at random ? 如果流程只有一個操作員或者沒有操作員,則分析時忽略操作員的影 響(即忽略再現(xiàn)性的影響) If process uses only one operator, or no operators, perform study without operator effects (reproducibility effects ignored) ? 樣本的數(shù)量 Number of samples ? 選擇足夠的樣本,使得(樣本數(shù)量) x (操作員數(shù)量) 15 Select enough samples so that (number of samples) X (number of operators) 15 ? 如果不可行,選擇測試的次數(shù)使得: If not practical or possible, choose number of trials so that: S 樣本數(shù)量 O 操作者數(shù)量 ? 測試次數(shù)= 3 if S x O 15, trials = 3 ? 測試次數(shù)= 3 到 4 if S x O 8, trials = 3 to 4 ? 測試次數(shù)= 4 到 5 if S x O 5, trials = 4 to 5 ? 測試次數(shù)= 6 到 8 if S x O 4, trials = 6 to 8 019 MSA22 Effective Date: 2/2023 Copyright 20232023 Sigma Breakthrough Technologies, Inc. Used with permission. Copyright 2023 Cummins, Inc. All Rights Reserved. Open the worksheet Gageaiag Part Operator Response 1 1 1 1 2 1 2 1 3 1 3 1 … … ... 測量系統(tǒng)分析練習 MSA Exercise 019 MSA23 Effective Date: 2/2023 Copyright 20232023 Sigma Breakthrough Technologies, Inc. Used with permission. Copyright 2023 Cummins, Inc. All Rights Reserved. Minitab – 量具重復(fù)性和再現(xiàn)性研究 Minitab Gage RR Studies Stat Quality Tools Gage Study Gage RR Study (Crossed) 019 MSA24 Effective Date: 2/2023 Copyright 20232023 Sigma Breakthrough Technologies, Inc. Used with permission. Copyright 2023 Cummins, Inc. All Rights Reserved. Minitab – 量具重復(fù)性和再現(xiàn)性研究 ?Minitab Gage RR Studies 量具的選項: 如果有公差, 填入此處 GAGE Options If There Is A Tolerance For This Part Put It Here 研究的概要信息 General Info On Your Study 放入 (AIAG 標準) Set to (AIAG Standard) 019 MSA25 Effective Date: 2/2023 Copyright 20232023 Sigma Breakthrough Technologies, Inc. Used with permission. Copyright 2023 Cummins, Inc. All Rights Reserved. PercentP a r t t o P a r tR e p r o dR e p e a tG a g e R R2 0 01 0 00% C o n t r i b u t i o n% S t u d y V a r% T o l e r a n c eSample Range0 . 1 00 . 0 50 . 0 0_R = 0 . 0 3 8 3U C L = 0 . 1 2 5 2L C L = 01 2 3Sample Mean1 . 0 00 . 7 50 . 5 0__X = 0 . 8 0 7 5U C L = 0 . 8 7 9 6L C L = 0 . 7 3 5 41 2 3P a r t1 09876543211 . 0 00 . 7 50 . 5 0O p e r a t o r3211 . 0 00 . 7 50 . 5 0P a r tAverage1 0 9 8 7 6 5 4 3 2 11 . 0 00 . 7 50 . 5 0O p e r a t o r123G a g e n a m e :D a t e o f s t u d y : R e p o r t e d b y :T o l e r a n c e :M i s c :C o m p o n e n t s o f V a r i a t i o nR C h a r t b y O p e r a t o rX b a r C h a r t b y O p e r a t o rR e s p o n s e b y P a r tR e s p o n s e b y O p e r a t o r O p e r a t o r * P a r t I n t e r a c t i o nG a g e R R ( A N O V A ) f o r R e s p o n s eMinitab – 輸出 Minitab Output Expected To Be Out of Control %RR P/T Ratios Gives us the 1st look at discrimination Graphical View Of Results 019 MSA26 Effective Date: 2/2023 Copyright 20232023 Sigma Breakthrough Technologies, Inc. Used with permission. Copyright 2023 Cummins, Inc. All Rights Reserved. Minitab – 輸出 Minitab Output 細節(jié)將在第二周討論 We will discuss in detail during week 2. TwoWay ANOVA Table With Interaction Source DF SS MS F P Part 9 Operator 2 Part * Operator 18 Repeatability 30 Total 59 019 MSA27 Effective Date: 2/2023 Copyright 20232023 Sigma Breakthrough Technologies, Inc. Used with permission. Copyright 2023 Cummins, Inc. All Rights Reserved. Minitab – 輸出 Minitab Output 從實務(wù)的角度看 我們目前不需要這里的數(shù)據(jù) From the practical side … we don’t need anything from here, yet. 從統(tǒng)計的角度看 這些原始的統(tǒng)計數(shù)據(jù)會被套入計算 %RR and %P/T 的公式 From the stat side ... These are the raw sta