1、蘭 夫 人力技術有限公司 L I F E F I R E T R A I N I N G I N S T I T U T I O N TEL：（0769）2489406 FAX：（0769）2489409PAGE PAGE 384附圖 圖4-1.1測量系統分辨力對過程分析和控制的影響數據組數與過程程的分析測量數據對分析析的影響測量數據對控制制的影響1個數據組 1個數據組 不能用于對過程程的參數估計計或計算過程程能力指數,僅能表明過過程的輸出是是否合格只有下列條件下下才可用于控控制:與規范相比過過程變差較小小預期過程變差差上的損失函函數很平緩過程變差的主主要原因導致致均值偏倚24個數據組組 24

2、個數據組組 僅能提供粗糙的的估計值,一一般說來不能能用于對過程程的參數估計計或計算過程程能力指數依據過程分布布可用半計量量控制技術可產生不敏感感的計量控制制圖5個及以上數據據組 5個及以上數據據組 能夠用于過程參參數估計,以以及可以用于于各種類型的的控制圖.表表明測量系統統具有足夠的的分辨力可用于計量控控制圖圖4-1.2過程波動的主要來源及測量系統分析的主要內容再現性再現性觀測到的波動（總波動）過程的波動測量系統波動過程長期波動過程短期波動樣本內波動量具的波動操作者的波動準確度或偏倚重復性線性穩定性分辨力圖4-1.3測測量系統分析析實施流程圖圖超過本手冊的范圍測量是否已準備?否超過本手冊的范圍

3、測量是否已準備?否是是測量是否任意分配?測量是否任意分配?否否是是計數型量具研究(小樣法)否是否有不同的測量儀器?否計數型量具研究(小樣法)否是否有不同的測量儀器?否件?是是極差法是極差法是否計數型量具研究(大樣法)是否有不同的測量儀器?否計數型量具研究(大樣法)是否有不同的測量儀器?否否短期適用的分析時間?是短期適用的分析時間?是均值和極差或方差分析法圖表分析長期均值和極差或方差分析法圖表分析長期圖4-1.4重重復性極差控控制圖2名評價人3次次試驗5個零零件評價人1 評價價人26.46.4UCLUCL2.52.5RR0.00.01 2 3 44 5 1 2 3 4 5極差受控測量量過程是致的

4、圖4-1.5零零件評價人均均值圖2名評價人3次次試驗5個零零件評價人1 評價人人2219.2219.2UCL 控制上限UCL 控制上限216.6216.61 2 3 44 5 1 2 3 4 530%的零件平平均值在限值值外，測量過過程不足以檢檢出零件間變變差 圖4-1.6 基準值 偏倚 觀測的平均值 觀測的平均值 基準值 偏倚 觀測的平均值 觀測的平均值 圖4-2 重復性 重復性 重復性 重復性 操作者B 操作者C 操作者B 操作者C 操作者A 再現性圖4-4 穩定性 時間2 時間1圖4-5 a線線性 基準值 基基準值 偏倚倚較小 偏倚倚較大 觀測的平均均值 觀觀測的平均值值 范圍的的較低部

5、分 范圍的較高高部分 圖4-5 bb線性（變化化的線性偏倚倚） 有偏倚 有偏倚 倚 偏有 觀測的平均均值 無偏倚 基基準值 圖4-6 偏倚示例 基準值 .80 基準值 .80 X bar=.75圖4-7: 量量具重復性和和再現性數據據表格(包括零件內內變差) 零 件評價人平均值12345評價人 試驗次次數最大最小極差最大最小極差最大最小極差最大最小極差最大最小極差1. A 1.68.58.101.07.93.14.87.78.09.97.83.14.58.42.162. 2.67.57.101.08.92.16.85.77.08.96.81.15.59.40.193. 34. 平均值值(全部)

6、.6251.00081750.89250.49750.76655. 極極差0.010.010.01.010.020.020.010.010.01.02.01.01.02.030.0136. B 11.59.51.081.08.92.16.82.73.09.84.71.13.49.31.187. 22.60.50.101.07.93.14.81.75.06.85.70.15.48.32.168. 339. 平均值值(全部).551.007878.40.700510. 極極差0.010.010.020.010.010.020.010.020.030.010.010.020.010.010.020.

7、01111. C 1.56.49.071.10.95.15.84.77.07.87.74.13.56.39.1712. 2.55.47.081.08.94.14.84.76.08.88.73.15.57.38.1913. 314. 平均值值(全部).521.02.80.80.48.722515. 極差.01.02.01.02.01.01.00.01.01.01.01.02.01.010.20.011零件平均值 ( xbarPP)0.5651.007.799.824.459Rp=.55WIV平均值 (xbarWIVV)0.090.150.080.140.17RxbarWIIV =.009 18.

8、 RRbarbaar =極差（行55+行10+行15）/極差數量= 0.355/30 =0.01117(只有最最大/最小極差) 19 最大大xbar=0.7665 -最小小x=0.77005 =R0=X barDIIFF=0.0660.07 20 RRbarbaar= D4*= =UCCLR 21 RRbarbaar= D3*= =LCCLR* 試驗次數為為2次時D4=3.277，試驗次數數為3次時D4=2.588；7次試驗以內內D3=0。UCLR，LCLR代表單個R的極限。圈圈出那些超出出限值的值，辨辨別原因并糾糾正。同一評評價人采用最最初儀器重復復這些讀數或或剔除這些超超限值并由其其余觀測

9、值再再次平均并計計算R和極限值。 注：圖4-8:量具具重復性和再再現性報告(包括零件內內變差)零件名稱： 零件件號： 日期期： 年 月 日量具名稱： 量具編號號： 量具類型型： 測量參數： 尺寸規格格： 執行人： 根據數據表：RRbarbaar= 0.0117 XbarDIFF= 0.07 RP = 0.55測 量 系系 統 分 析% 總 變 差 （TV）重復性設備變變差（EV） EV = RbbarbarrK1 =0.001174.56 =0.00534%EV=1000EV/TTV =1000.05334/1.1178 = 4.2%試驗次數 K1234.563.05 再現性評價人人變差（AV

10、V） AV = ( XbaarDIFFFK2)2-(EV2/nm) 1/2 =( (0.0072.70 )2 (0.052/52 )1/2 =0.1178%AV =1100AVV/TV =10000.178/1.1788 =15.3%n=零件數量m=試驗次數 評價人23K23.652.70重復性和再現性性(GR&R)GR&R = (EV22+AV2)1/2 = (0.0552+0.1882)1/2 =0.187%GR&R =100GGR&R/TTV =100.187/11.1788 =15.9%零件數K323456 7 8 9 1003.652.702.302.081.93 1.821.741

11、.671.62零件變差（PVV）PV =RPK3 =0.5552.08 =1.1144%PV =1000PV/TV=1001.144/.1.1788 =977%零件內變差（WWIV）WIV = x barrbarWIIV+ (RXbarWIVVK3)2 -(EV WIV )2/nWIVm 1/2 /2 =0.126+ (0.1872)2-0.07762/(32)/22 =0.2188 式中： xbarbaarwiv=xwiv(行17)/ xwiv讀數數數量=0.663/5=00.126 nWIV =評價人數量量,m=試驗次次數, EVWIV=Rrge(行5,100,15)/ Rrge讀數數數量

12、K1=0.25/154.56 = .0776 RRGE 讀數數量 %WIV =1100WIIV/TV =10000.22/11.179 =18.7%總變差(TV)TV = (GGR&R2 + PVV2 + WIIV2)1/2 = ( 0.18 )22 + ( 1.1444)2 + ( 0.2188) 21/2 = 1.178圖4-9:重復復性極差控制制圖工廠部門操作人計算日期控制極極限工程規范至mm 零件件號機器編號日期-至-被測參數，“” 樣本容量/頻率率 零件名稱稱 /小時 xxbarbaar= UCL = LCLL= 平均值 (xxbar圖)1.11.00.90.80.70.6.0.50

13、.4 RRbar = UCL LCLL= * 極差（R圖） UCLR=.130.130.12 評價人A 評價人B評價人C0.110.100.090.080.070.060.05R=.040.040.030.020.01日期 時間讀數12345和Xbar=和/讀數數量 R=最高-最低低圖4-10:零零件評價人均均值圖工廠部門操作人計算數據控制極極限工程規范至mm 零件件號機器編號日期-至-被測參數，“” 樣本容量/頻率率 零件名稱稱 /小時 x bar bbar=0.80008 UCCL =0.876 LCL=00.72566 平均值 (xxbar圖)1.1評價人A評價人B 評價人CC1.00.

14、9 UCL 0.8LCL0.70.60.50.4 Rbaar = UCL LCCL= * 極差（R圖） 0.130.120.11 73%的零零件平均值在在限值外0.100.090.080.070.060.050.040.030.020.01日期 時間讀數12345和X=X= 和 讀數數數量R=最高-最低低圖4-11:標標準均值和極極差法量具重重復性和再現現性數據表評價人/試驗次次數零 件平均值123451. A 10.651.000.850.850.552. 20.601.000.800.950.453. 34. 平均值0.6251.000.8250.8750.50 xbar a=0.7655

15、05. 極差0.550.000.050.100.10R bar aa=0.0666. B 10.551.050.800.800.407. 20.550.950.750.750.408. 39. 平均值0.551.000.7750.7750.40 x bar bb=0.7000010. 極差0.000.10.050.050.00Rbar b=0.0411. CC 10.501.050.800.800.4512. 20.551.000.800.800.5013. 314. 平均值0.5251.0250.800.800.475x bar cc=0.7225015. 極差差0.050.050.000.

16、000.05R barc=0.03 -零件 - 平均值(x barr P)0.5661.0080.800.8170.458xbar=0.730Rp=0.555 - -17. Rbar a=0.006 + Rbarr b=0.044 + Rbar c=0.003 / 評價人人數=3 R bar bar= 0.0433318 最最大x=0.7650- 最小小x=0.770 =XX bar DIFF = 0.0065 0.0719. Rbar bar= D4*= =UUCLR20. Rbarr bar= D3*= =LCCLR 2次試驗時D44=3.277，3次試驗時D4=2.588。7次試驗以內內

17、D3=0；UCLR，LCLR代表單個R的極限。圈圈出那些超出出極限的值。查查明原因并糾糾正。同一評評價人采用最最初的儀器重重復這些讀數數或剔除這些些值并由其余余觀測值再次次平均并計算算R和極限值。 注：圖4-12: 標準均值和和極差法量具具重復性和再再現性報告零件名稱： 零件號： 日期期： 年 月 日量具名稱： 量具編號號： 量具類型型： 測量參數： 尺寸規格格： 執行人： 來自數據表：RRbar bbar=0.0433 X barr DIFFF= 0.007 RRP = 0.55 測 量 系系 統 分 析% 總 變 差 （TV）重復性設備變變差（EV） EV = RbarbbarK1 =0.

18、004334.56 =0.199760.20%EV=1000EV/TTV=1000.2/1.1175=17.0%試驗次數K1234.563.05再現性評價人人變差（AVV） AV =( XDIFFFK2)2-(EV2/nm)1/2 =(00.072.70)2-(0.2202/52) 11/2 =00.1780.18%AV =1100AVV/TV =10000.18/11.175 =15.3%n=零件數量m=試驗次數 評價人23 K23.652.70重復性和再現性性(GR&R)GR&R = (EV2+AV2)1/2 = (0.2022+0.1882)1/2 =0.2269%GR&R =100GG

19、R&R/TTV =10000.269/1.1755 =22.9% 零件數K3 2 3 4 5 6789103.652.702.30 2.081.93 1.821.741.671.62零件變差（PVV）PV =RPK3 =0.5552.08 =1.1144%PV =1000PV/TV=100 11.144/ 1.1775=97.4%總變差（TV） TV = （GGR&R2+PV2）1/2 = (0.26992+1.14442) 1/2 =1.1775 (帶有有量具誤差分分量時為1.172)所有計算都基于于預期5.115(在正態分布布曲線之下999.0%的的面積)。K1為5.155/d2*，d2*

20、取決于試驗驗次數（m）和零件數數與評價人數數的乘積（gg），并假設設該值大于115。d2*數值來自表表2。AV 如果果計算中根號號下出現負值值，評價人變變差缺省為00。K2為5.155/d2*，式中d2*取決于評價價人數量（mm）和（g），g為1，因為只有有單極差計算算。K3為5.155/d2*，式中d2*取決于零件件數（m）和（g），g為1，因為只有有單極差計算算。d2*來自D33，“質量控制和和工業統計”AA.J.Duuncan圖4-13 線線性圖1名評價人122次試驗5個零件 過過程變差 = 6.0001.201.000.801.201.000.800.600.400.20-0.00-0

21、.20 -0.40 -0.60+ 偏 倚倚+ + + 低 名義 + 偏 倚倚+ + + 4.00 6.00 8.00 10.00 4.00 6.00 8.00 10.00偏倚 = 0.05 線性 = 00.79 擬擬合優度(RR2)= 0.98 %線性性 = 133.17 圖4-14: 量具特性曲曲線接受概率1.000.900.800.700.600.500.400.300.200.100.00 0.600 00.80 1.00 1.022 1.04 基準零零件測量 GGRR=0.07 偏偏倚=0.005圖4-15 繪制在正正態概率紙上上的量具特性性曲線一 偏 倚 0.0023 偏 倚 0.0

22、023 低 % 高 % -00.016 10 30 20 40 2 99.8 99.5 96 98 95 90 80 70 60 50 40 30 20 10 5 10.5 0.2 0.2 0.5 1 2 5 50 60 70 80 90 95 96 98 99.5 99.8REPEA/重復性=0.0079 未調整 -00.014 -00.012 -0.0010 -0.0088 10 30 20 40 2 99.8 99.5 96 98 95 90 80 70 60 50 40 30 20 10 5 10.5 0.2 0.2 0.5 1 2 5 50 60 70 80 90 95 96 98

23、99.5 99.8REPEA/重復性=0.0079 未調整被測零件的基準準值 圖4-16:量量具特性曲線線0.90.60.70.81.0接 受 概 率上限下限0.90.60.70.81.0接 受 概 率上限下限0.00.10.20.30.40.5 -0.015 -0.0110 -0.005 0 +0.0005 +00.010 +0.01150.00.10.20.30.40.5被測零件的基準準值5附表 表5-1 平均均極差分布的的d2*值（d2*值 g15） mg23456789101112131415161718192011.411.912.242.482.672.832.963.083.18

24、3.273.353.423.493.553.613.663.713.763.8121.281.812.152.402.602.772.913.023.133.223.303.383.453.513.573.633.683.733.7731.231.772.122.382.582.752.893.013.113.213.293.373.433.503.563.613.663.713.7641.211.752.112.372.572.742.883.003.103.203.283.363.433.493.553.613.663.713.7551.191.742.102.362.562.732.87

25、2.993.103.193.283.353.423.493.553.603.663.703.7561.181.732.092.352.562.732.872.993.103.193.273.353.423.493.553.603.653.703.7571.171.732.092.352.552.722.872.993.103.193.273.353.423.483.543.603.653.703.7581.171.722.082.352.552.722.872.983.093.193.273.353.423.483.543.603.653.703.7491.161.722.082.242.55

26、2.722.862.983.093.183.273.353.423.483.543.603.653.703.74101.161.722.082.342.552.722.862.983.093.183.273.343.423.483.543.603.653.703.74111.161.712.082.342.552.722.862.983.093.183.273.343.413.483.543.593.653.703.74121.151.712.072.342.552.722.852.983.093.183.273.343.413.483.543.593.653.703.74131.151.71

27、2.072.342.552.712.852.983.093.183.273.343.413.483.543.593.653.693.74141.151.712.072.342.542.712.852.983.083.183.273.343.413.483.543.593.653.693.74151.151.712.072.342.542.712.852.983.083.183.263.343.413.483.543.593.653.693.74161.151.712.072.342.542.712.852.983.083.183.263.343.413.483.543.593.643.693.

28、74171.151.712.072.342.542.712.852.983.083.183.263.343.413.483.543.593.643.693.74181.151.712.072.332.542.712.852.983.083.183.263.343.413.483.543.593.643.693.74191.151.702.072.332.542.712.852.983.083.183.263.343.413.483.543.593.643.693.74201.141.702.072.332.542.712.852.983.083.183.263.343.413.483.543.

29、593.643.693.74201.1281.6932.072.3262.5342.7042.8472.9073.0783.1733.2583.3363.4073.4723.5323.5883.6403.6893.735表5-2: 控控制圖常數子組內觀察次數A2D3D4d221.88003.2671.12831.02302.5751.69340.72902.2822.05950.57702.1152.32660.48302.0042.53470.4190.0761.9242.70480.3730.1361.8642.84790.3370.1841.8162.970100.3080.2231.7

30、773.078110.2850.2561.7443.173120.2660.2841.7163.258130.2490.3081.6923.336140.2350.3291.6713.407150.2230.3481.6523.472表5-3：量具具研究(極差法)零件評價人A評價人B極差R= xmmax-xmin10.850.800.0520.750.700.0531.000.950.0540.450.550.1050.500.600.10平均極差（Rbbar）=Ri/5=0.35/5=0.007GRR=5.15（Rbar）/ d2*=5.115（R）/1.199=5.155（0.07）/1.

31、199=0.3003過程變差=0.40% GRR=100GGRR/過程變差差 =10000.3303/0.40=775.5% 表5-4：量具具重復性和再再現性數據評價人/試驗次次數零 件平均值123456789101. A 10.651.000.850.850.551.000.950.851.000.602. 20.601.000.800.950.451.000.950.801.000.703. 34. 平均值0.6251.0000.8250.9000.5001.0000.9500.8251.0000.650 xbar a=0.827755. 極差0.050.000.050.100.100.0

32、00.000.050.000.10R bar aa=0.04456. B 10.551.050.800.800.401.000.950.751.000.557. 20.550.950.750.750.401.050.900.700.950.508. 39. 平均值0.5501.0000.7750.7750.4001.0250.9250.7250.9750.525x bar bb=0.7667510. 極差0.000.100.050.050.000.050.050.050.050.05R bar bb=0.044511. CC 10.501.050.800.800.451.000.950.801

33、.050.8512. 20.551.000.800.800.501.050.950.801.050.8013. 314. 平均值0.5251.0250.8000.8000.4751.0250.9500.8001.0500.825x bar cc=0.8227515. 極差差0.050.050.000.000.050.050.000.000.000.05R bar cc=0.0330 -16零件平均值值 -(x barPP)0.5671.0080.8000.8250.4581.0170.9420.7831.0080.667xbar =00.80755Rp=0.5559 - -17. R barr

34、 a=0.045 + Rbbar b=0.0445 + R baar c=00.03 /# 評價人數=33R bar bbar .=0.0418 MMax x=0.88275 - Miin x=0.77675 =x baar Difff0.0619. Rbar bar=00.04 D4*=3.227 =UUCLR0.1320. Rbarr bar=0.04 D3*=0.000 =LCCLR0.00 * 22次試驗時D4=3.277，3次試驗時D4=2.588。7次試驗以內內D3=0；UCLR，LCLR代表單個R的極限。圈圈出那些超出出極限的值。查查明原因并糾糾正。同一評評價人采用最最初的量規儀

35、儀器重復這些些讀數或剔除除這些值并由由其余觀測值值再次平均，計計算R和極限值。 注：表5-5：量具具重復性和再再現性報告零件號和名稱： 量具名稱： 厚薄規 日期：4/112/88測量參數： 厚厚度 量具編號： X-29.34 執行人：尺寸規格： 00.6-1.0mm 量具類類型： 0.00-10.11 來自數據表：RRbar bbar=0.044 xbaar DIFFF= 0.06 RP = 0.559 測 量 系系 統 分 析% 總 變 差 （TV）重復性設備變變差（EV） EV = RbbarbarrK1 =0.00444.56 =0.188%EV=1000EV/TTV=1000.18/0

36、.93=18.7%試驗次數K1234.563.05再現性評價人人變差（AVV） AV =( XbarDIFFFK2)2-(EV2/nm)1/2 =(00.062.70)2-0.1882/(102)1/2 =0.166%AV =1100AVV/TV =10000.16/00.93 =16.8%n=零件數量m=試驗次數 評價人23 K23.652.70重復性和再現性性(GR&R)GR&R = (EV2+AV2) 1/2 = (00.182+0.1662) 1/2 =0.224%GR&R =100RR&R/TVV =10000.24/00.93 =25.2% 零件數K3 2 3 4 5 678910

37、3.652.702.30 2.081.93 1.821.741.671.62零件變差（PVV）PV =RPK3 =0.5561.62 =0.990%PV =1000PV/TV=1000.90/0.93=96.8%總變差（TV） TV =（R&R2+PV2）1/2 = (0.242+0.9002) 1/2 =0.933所有計算都基于于預期5.115(在正態分布布曲線之下999.0%的的面積)。K1為5.155/ d2*，d2*取決于試驗驗次數（m）和零件數數與評價人數數的乘積（gg），并假設設該值大于115。d2*數值來自表表2。AV 如果果計算中根號號下出現負值值，評價人變變差缺省為00。K2

38、為5.155/d2*，式中d2*取決于評價價人數量（mm）和（g），g為1，因為只有有單極差計算算。K3為5.155/d2*，式中d2*取決于零件件數（m）和（g），g為1，因為只有有單極差計算算。d2*來自D33，質量控控制和工業統統計A.JJ.Dunccan表5-6： 量量具重復性和和再現性報告告一墊片示例例 量具R&R 均值和極差差法3位評價人，110個零件，2次試驗 評注：特殊研究 5.155 %總變變差 標準偏差差重復性 0.18 118.7再現性 0.16 116.8量具R&R 0.224 255.2零件間 0.90 996.8 基于于本過程，量量具合格注：容差=不適用 總變差=0

39、.93不同數據分級數數=5 置信信水平CL=90.000%表5-7量具研研究比較一相相同的5個零零件,有和無無零件內變差差(WIV)研究類型量具重復性變差再現性變差量具R&RWIV零件間變差總過程變差R&R占總過程程變差%重復性單獨占總變差%再現性單獨占總變差%帶WIV不帶WIV0.05340.2000.1770.1780.1820.2690.18201.1441.1441.1781.17515.9%22.9%4.2%17.0%15.3%15.3%表5-8 量具數數據一覽表 零件件 11 22 3 4 5 基準值值 2.000 4.000 6.00 88.00 10.000 2.70 5.10

40、0 5.880 77.60 9.10 2.50 3.990 5.70 7.70 9.300 2.40 4.220 5.90 7.80 9.500 2.50 5.000 5.90 7.70 9.300 試 5 22.70 3.800 6.000 77.80 9.40 2.330 33.90 6.10 7.880 9.50 驗 7 22.50 3.900 6.000 77.80 9.50 2.550 33.90 6.10 7.770 9.50 次 9 2.40 3.90 6.400 7.80 99.60 2.400 4.00 6.30 7.550 9.20 數 11 2.60 4.10 6.000

41、 77.60 9.30 2.440 33.80 6.100 7.70 99.40 零件平均值值 2.449 44.13 6.033 7.71 99.38 基準值值 22.00 4.000 6.00 8.00 10.000 偏偏倚 +0.49 +0.113 +00.03 -0.299 -0.62 極極差 0.4 1.3 00.7 0.33 0.5表5-9： 計數型量具具研究（小樣樣法）A 評 價 人B 評 價 人12121GGGG2GGGG3NGGGG4NGNGNGNG5GGGG6GGGG7NGNGNGNG8NGNGGG9GGGG10GGGG11GGGG12GGGG13GNGGG14GGGG15

42、GGGG16GGGG17GGGG18GGGG19GGGG20GGGG離散型數據測量量系統分析測測量原始記錄錄表(3個測測量者)零件號第一次測量結果果第二次測量結果果ABCABC10000002010000311111140000005101100611100171101108000000901000110010100111101101200000013000000140000101501011016101101170000001800000119101111201111112100000022111011230000002411111025000000261111112710010028000

43、0002911111130110011離散型數據測量量系統分析重重復性百分比比處理記錄表表(3個測量量者)零件號實際不一致次數數第一次測量第二次測量ABCA1B1C1A2B2C21000000000201001000030001111114000000000500110110061101110017000110110800000000090010000011010000010011000110110120000000001300000000014010000010151000101101600010110117000000000180010000011901010111120010111101

44、21000000000221001110112300000000024001111110250000000002600011111127000100100280000000002900011111130101110011合計不一致次數數555不一致總次數15重復性百分比的的計算檢查員機會總次數實際不一致次數數重復性百分比A30583.3%B30583.3%C30583.3%離散型數據測量量系統分析再再現性百分比處處理記錄表(3個測量者者)樣品號第一次測量第二次測量第一次測量不一致次數第二次測量不一致次數A1B1C1A2B2C2A1-B1A1-C1B1-C1A2-B2A2-C2B1-C21000

45、000000000201000010100031111110000004000000000000510110010111061110010000117110110011011800000000000090000010000111000010000011011110110011011120000000000001300000000000014000010000101150101101010111610110110110117000000000000180000010000111910111110100020111101000101210000000000002211101100010023000

46、00000000024111110000000250000000000112611111100000027100100110110280000000000002911111100000030110011011110合計不一致次數數64881210不一致總次數48%再現性=1000*實際一一致的總次數數/機會總次次數(對所有有操作者分次次單獨比較)N為偶數:機機會總次數=零件數n*(每個零零件每次被測測量的機會數數N2/4)N為奇數:機機會總次數=零件數n*(每個個零件每次被被測量的機會會數N2-1)/44實際一致的總次次數=機會總總次數-實際際不一致的總總次數(所有有操作者分次次比較測量同同一

47、零件的測測量結果之間間的結果)離散型數據測量量系統分析一一致性百分比比處理記錄表表(3個測量量者)零件號不一樣次數對 比A1-A2A1-B1A1-B2A1-C1A1-C2A2-B1A2-B2A2-C1A2-C2B1-B2B1-C1B1-C2B2-C1B2-C2C1-C2100000000000000002501000100011100030000000000000000400000000000000005801101110101010068101001011100110780001100110111108000000000000000095000010001001011105100001111

48、000000118000110011011110120000000000000000130000000000000000145001000100100110159101000011011110168001001100011110170000000000000000185000010001001011195010001000111000205001000100100110210000000000000000225100001111000000230000000000000000245000010010010101250000000000000000260000000000000000278011

49、111111000000280000000000000000290000000000000000308100101101010101%一致性 (%GR&R)=1000*實際一一致的總次數數/可能一致致的總次數(對所有操作作者分次單獨獨比較)=N為偶數: 可能一致的的總次數=零零件數n*(每個零零件每次被測測量的機會數數N2/4)N為奇數: 可能一致的的總次數=零零件數n*(每個個零件每次被被測量的機會會數N2-1)/44實際一致的總次次數=可能一一致的總次數數-實際不一一致的總次數數(對所有零零件各次測量量結果分別比比較不一致的的次數之和)離散型數據測量量系統分析與與標準一致性性百分比處理理記

50、錄表(33個測量者)零件號測量次數測量結果標準與標準一致的測測量次數ABCABC11000000020000000210100010200000003111110002111100041000000020000000511011010210010116111110002001111071110011021100110811000000200000009110000002001000110100000002100010011111010012110100112100000002000000013100000002000000014100000002010001015101011012110101

51、1161101101021011010171000000020000000181000000020010001續表零件號測量次數測量結果標準與標準一致的測測量次數ABCABC191101101021111000201111100021011000211000000020000000221111100020111100231000000020000000241111100021101001251000000020000000261111100021111000271100010021000100281000000020000000291111100021111000301110100120111

52、100與標準一致的測測量次數合計計514851%與標準一致性性(測量的準準確度)=與與標準一致的的測量次數(按操作者分分別比較)/各操作者測測量的總次數數=各操作者測量的的總次數=零零件數n*各操作者者對同一零件件重復測量的的次數=2分布的分分位數表dx20.0055x20.01x20.0255x20.05x20.10 x20.90 x20.95x20.9755x20.99x20.995510.00003390.0001660.0009880.00390.01582.713.845.026.637.8820.01000.02010.05060.10260.21074.615.997.389.2

53、110.6030.07170.1150.2160.3520.5846.257.819.3511.3412.8440.2070.2970.4840.7111.0647.789.4911.1413.2814.8650.4120.5540.8311.151.619.2411.0712.8315.0916.7560.6760.8721.241.642.2010.6412.5914.4516.8118.5570.9891.241.692.172.8312.0214.0716.0118.4820.2881.341.652.182.733.4913.3615.5117.5320.0921.9691.732.

54、092.703.334.1714.6816.9219.0221.6723.59102.162.563.253.944.8715.9918.3120.4823.2125.19112.603.053.824.575.5817.2819.6821.9224.7326.76123.073.574.405.236.3018.5521.0323.3426.2228.30133.574.115.015.897.0419.8122.3624.7427.6929.82144.074.665.636.577.7921.0623.6826.1229.1431.32154.605.236.267.268.5522.3

55、125.0027.4930.5832.80165.145.816.917.969.3123.5426.3028.8532.0034.27186.267.018.239.3910.8625.9928.8731.5334.8137.16207.438.269.5910.8512.4428.4131.4134.1737.5740.00249.8910.8612.4013.8515.6633.2036.4239.3642.9845.563013.7914.9516.7918.4920.6040.2643.7746.9850.8953.674020.7122.1624.4326.529.0551.815

56、5.7659.3463.6966.776035.5337.4840.4843.1946.4674.4079.0883.3088.3891.9512083.8586.9291.5795.70100.62140.23146.57152.21158.95163.64t分布的分位位數表dt0.60t0.70t0.80t0.90t0.95t0.975t0.99t0.99510.3250.7271.3763.0786.31412.70631.82163.65720.2890.6171.0611.8862.9204.3036.9659.92530.2770.5840.9781.6382.3533.1824.

57、5415.84140.2710.5690.9411.5332.1322.7763.7474.60450.2670.5590.9201.4762.0152.5713.3654.03260.2650.5530.9061.4401.9432.4473.1433.70770.2630.5490.8961.4151.8952.3652.9983.49980.2620.5460.8891.3971.8602.3062.8963.35590.2610.5430.8831.3830.8332.2622.8213.250100.2600.5420.8971.3721.8122.2282.7643.169110.

58、2600.5400.8761.3631.7962.2012.7183.106120.2590.5390.8731.3561.7822.1792.6813.055130.2590.5380.8701.3501.7712.1602.6503.012140.2580.5370.8681.3451.7612.1452.6242.977150.2580.5360.8661.3411.7532.1312.6022.947160.2580.5350.8651.3371.7462.1202.5832.921170.2570.5340.8631.3331.7402.1102.5672.898180.2570.5

59、340.8621.3301.7342.1012.5522.878190.2570.5330.8611.3281.7292.0932.5392.861200.2570.5330.8601.3251.7252.0862.5282.861210.2570.5320.8591.3231.7212.0802.5182.831220.2560.5320.8581.3211.7172.0742.5082.819230.2560.5320.8581.3191.7142.0692.5002.807240.2560.5310.8571.3181.7112.0642.4922.797250.2560.5310.85

60、61.3161.7082.0602.4852.787260.2560.5310.8561.3151.7062.0562.4792.779270.2560.5310.8551.3141.7032.0522.4732.771280.2560.5300.8551.3131.7012.0482.4672.763290.2560.5300.8541.3111.6992.0452.4622.756300.2560.5300.8541.3101.6972.0422.4572.750400.2550.5290.8511.3031.6842.0212.4232.704600.2540.5270.8481.296