計量型數(shù)據(jù)MSAppt課件

1、計量性數(shù)據(jù)MSA簡單丈量分析 續(xù) Simple Measurement Study - continued 運用描畫性統(tǒng)計， 計算Delta 的規(guī)范差Using Descriptive Statistics, calculate the standard deviation of Delta這個規(guī)范差被稱為丈量規(guī)范誤差This standard deviation is called the Standard Error for Measurement其主要代表了什么，反復性還是再現(xiàn)性？Which does this primarily represent, Repeatability or

2、Reproducibility?Variable N Mean Median StDev Delta 10 -0.410 -0.400 0.387 簡單丈量分析 續(xù) Simple Measurement Study - continued運用上面的規(guī)范差，什么是丈量分布的良好估計值Using the standard deviation above, what would be a good estimate of measurement spread?Variable N Mean Median StDev Delta 10 -0.410 -0.400 0.387 假設(shè)公差是5 上限下限Su

3、ppose tolerance (upper spec - lower spec) is 5. 準確度和公差的比率如何？What would be the ratio between the precision and the tolerance?簡單丈量分析 續(xù) Simple Measurement Study - continued這個比率被稱為準確度和公差比率 (P/T). 這個例子中P/T 比率是： This ratio is known as the Precision to Tolerance (P/T) Ratio. For this example the P/T Ratio

4、is:這個可以被解讀為：“46的規(guī)格公差被丈量系統(tǒng)誤差所占用了This is interpreted as: “46% of the specification tolerance is taken up by measurement errorVariable N Mean Median StDev Delta 10 -0.410 -0.400 0.387 丈量才干指數(shù)- P/T Measurement Capability Index - P/T準確性和公差比率 Precision to Tolerance Ratio描畫有多少百分比的公差是被丈量系統(tǒng)誤差占用了Addresses what

5、 percent of the tolerance is taken up by measurement error同時包含了反復性和再現(xiàn)性 Includes both repeatability and reproducibility操作者 x 單位x 實驗次數(shù) Operator x Unit x Trial experiment最正確情況 Best case: 10% ； 可以接受 Acceptable: 30%通常以百分比表示Usually expressed as percent留意：6.0規(guī)范差代表了99.73% 的丈量系統(tǒng)變差。記住在做丈量系統(tǒng)和以前分析結(jié)果的計算時，要經(jīng)常檢查這個

6、值。 這里用的6.0 是AIAG 的工業(yè)規(guī)范。Note: 6.0 standard deviations accounts for 99.73% of MS variation. Always check the value used when making comparisons between measurement systems or previous analysis calculations. The use of 6.0 is the AIAG industry standard. PTToleranceMS/= 6.0*s準確度和公差比率Precision to Toleran

7、ce RatioProduct ToleranceLSLUSL丈量系統(tǒng)變差measurement system variationP/T = 20%P/T = 100%P/T = 200%丈量才干指數(shù) % GR&R Measurement Capability Index - % GR&R描畫有多少總變差比率是由丈量系統(tǒng)誤差呵斥的 Addresses what percent of the total variation is taken up by measurement error同時包含了反復性和再現(xiàn)性 Includes both repeatability and reproducib

8、ility操作者 x 單位x 實驗次數(shù) Operator x Unit x Trial experiment作為一個目的，我們期望%R&R 30% As a target, look for %R&R 15Select enough samples so that (number of samples) X (number of operators) 15假設(shè)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 =

9、3測試次數(shù)3 到 4if 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 Quality Tools Gage Study Gage R&R Study (Crossed)Minitab 量具反復性和再現(xiàn)性研討Minitab - Gage R&R Studies量具的選項：假設(shè)有公差，填入此處GAGE OptionsIf There Is A Tolerance For This Part -Put It Here研討的概要信息General Info On Your Study放入

10、6.0 (AIAG 規(guī)范Set to 6.0 (AIAG Standard)Minitab 輸出Minitab - OutputExpected ToBe Out of Control%R&R& P/T RatiosGives us the 1st look atdiscriminationGraphical ViewOf ResultsMinitab 輸出Minitab - Output細節(jié)將在第二周討論 We will discuss in detail during week 2.Two-Way ANOVA Table With Interaction Source DF SS MS F

11、 PPart 9 2.05871 0.228745 39.7178 0.000Operator 2 0.04800 0.024000 4.1672 0.033Part * Operator 18 0.10367 0.005759 4.4588 0.000Repeatability 30 0.03875 0.001292Total 59 2.24913Minitab 輸出Minitab - Output從實務的角度看 我們目前不需求這里的數(shù)據(jù)From the practical side we dont 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)

12、會被套入計算%R&R and %P/T 的公式From the stat side . These are the raw stats that will be going intothe %R&R and %P/T formulasGage R&R %ContributionSource VarComp (of VarComp)Total Gage R&R 0.0044375 10.67 Repeatability 0.0012917 3.10 Reproducibility 0.0031458 7.56 Operator 0.0009120 2.19 Operator*Part 0.002

13、2338 5.37Part-To-Part 0.0371644 89.33Total Variation 0.0416019 100.00Minitab 輸出Minitab - Output紅色的圓圈重要的比率 Red Circles = Key Ratios%P/T % R&R StudyVar %StudyVar %ToleranceSource StdDev (SD) (6*SD) (%SV) (SV/Toler)Total Gage R&R 0.066615 0.39969 32.66 79.94 Repeatability 0.035940 0.21564 17.62 43.13 R

14、eproducibility 0.056088 0.33653 27.50 67.31 Operator 0.030200 0.18120 14.81 36.24 Operator*Part 0.047263 0.28358 23.17 56.72Part-To-Part 0.192781 1.15668 94.52 231.34Total Variation 0.203965 1.22379 100.00 244.76Number of Distinct Categories = 4我們該做怎樣的決議？What decision do we make?Minitab 輸出 Minitab -

15、 Output %P/T 最正確：10，可接受：30%Best case: 10% Acceptable: 30% R&R以%R&R 30%為目的As a target, look for %R&R Make Patterned DataSimple Set of Numbersuse Minitab DOE “Create Factorial Design GRRsetup - custom Minitab macroExample MSA: plan an MSA study for 3 Operators, 10 Samples per trial, 2 Trials We want t

16、o create a Minitab file with the following columnsPart or Sample, Operator, Trial, MeasurementGR&R Setup: Factorial Design ApproachPrepare your Measurement System “ExperimentLets use Minitabs experiment generators. Choose StatDOEFactorialCreate Factorial Design. Click the “General full factorial des

17、ign radio button. Leave the “Number of factors at two (2). GR&R Setup: Factorial Design ApproachAfter clicking on Designs, fill in the Factors (Operator, Part) and the Number of Levels for Operator = 3 (three measurement operators)for Part = 10 (ten parts)choose two “replicates Click OK. GR&R Setup:

18、 Factorial Design ApproachClick on the Factors buttonGR&R Setup: Factorial Design ApproachChange Operator Type to “Text.Replace the Operator “Level Values of 1, 2, and 3 with the names of your teams measurement operators. Here we have used Jose, Ann, and Jim. GR&R Setup: Factorial Design ApproachCli

19、ck on the Options buttonGR&R Setup: Factorial Design ApproachBe sure that “Randomize runs and “Store design in worksheet are checked. Always randomize your GR&R experiments! GR&R Setup: Factorial Design ApproachClick OK in the main “Factorial Designs window. GR&R Setup: Factorial Design ApproachChec

20、k the output in your data window. You should now have 60 rows of data. The StdOrder column should be out of numerical order, while the RunOrder column goes from 1 to 60. GR&R Setup: Minitab Macro ApproachA different approach: use a custom Minitab macro.Copy the file GRRsetup.MAC to the Minitab macro directoryC:Program FilesMTBWINMacros(or to the specific Minitab Macro directory for where your PC has Minitab installed)Now we can use Minitabs text command feature to run this macro and