测量系统分析用图

1、.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 ：07692489406 FAX：07692489409PAGE ：.；4附图 图4-1.1丈量系统分辨力对过程分析和控制的影响数据组数与过程的分析丈量数据对分析的影响丈量数据对控制的影响1个数据组 1个数据组 不能用于对过程的参数估计或计算过程才干指数,仅能阐明过程的输出能否合格只需以下条件下才可用于控制:与规范相比过程变差较小预期过程变差上的损失函数很平缓过程变差的主要缘由导致均值偏倚24个数据组 24个数据组 仅能提供粗糙的估计值,普通说来不能用于对过程的参数估计或计算过程才干指

2、数根据过程分布可用半计量控制技术可产生不敏感的计量控制图5个及以上数据组 5个及以上数据组 可以用于过程参数估计,以及可以用于各种类型的控制图.阐明丈量系统具有足够的分辨力可用于计量控制图图4-1.2过程动摇的主要来源及丈量系统分析的主要内容再现性观测到的动摇总动摇过程的动摇丈量系统动摇过程长期动摇过程短期动摇样本内动摇量具的动摇操作者的动摇准确度或偏倚反复性线性稳定性分辨力图4-1.3丈量系统分析实施流程图超越本手册的范围丈量能否已预备?否是丈量能否恣意分配?否是计数型量具研讨(小样法)否能否有不同的丈量仪器?否供测试用零件能否超越300件?是极差法是否计数型量具研讨(大样法)能否有不同的丈

3、量仪器?否短期适用的分析时间?是均值和极差或方差分析法图表分析长期图4-1.4反复性极差控制图2名评价人3次实验5个零件评价人1 评价人26.4UCL2.5R0.01 2 3 4 5 1 2 3 4 5极差受控丈量过程是致的图4-1.5零件评价人均值图2名评价人3次实验5个零件评价人1 评价人2219.2UCL 控制上限216.61 2 3 4 5 1 2 3 4 530%的零件平均值在限值外，丈量过程缺乏以检出零件间变差 图4-1.6 基准值 偏倚 观测的平均值 观测的平均值 图4-2 反复性 反复性 操作者B 操作者C 操作者A 再现性 图4-3图4-4 稳定性 时间2 时间1图4-5 a

4、线性 基准值 基准值 偏倚较小 偏倚较大 观测的平均值 观测的平均值 范围的较低部分 范围的较高部分 图4-5 b线性变化的线性偏倚 有偏倚 倚 偏有 观测的平均值 无偏倚 基准值 图4-6 偏倚例如 基准值 .80 X bar=.75图4-7: 量具反复性和再现性数据表格(包括零件内变差) 零 件评价人平均值12345评价人 实验次数最大最小极差最大最小极差最大最小极差最大最小极差最大最小极差1. A 1.68.58.101.07.93.14.87.78.09.97.83.14.58.42.162. 2.67.57.101.08.92.16.85.77.08.96.81.15.59.40.1

5、93. 34. 平均值(全部).6251.00081750.89250.49750.76655. 极差0.010.010.01.010.020.020.010.010.01.02.01.01.02.030.0136. B 1.59.51.081.08.92.16.82.73.09.84.71.13.49.31.187. 2.60.50.101.07.93.14.81.75.06.85.70.15.48.32.168. 39. 平均值(全部).551.007878.40.700510. 极差0.010.010.020.010.010.020.010.020.030.010.010.020.010

6、.010.020.01111. 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(全部).521.02.80.80.48.722515. 极差.01.02.01.02.01.01.00.01.01.01.01.02.01.010.20.011零件平均值 ( xbarP)0.5651.007.799.824.459Rp=.55WIV平均值 (xbarWIV)0.090.150.080.140.17RxbarWIV =.09

7、 18. Rbarbar =极差行5+行10+行15/极差数量= 0.35/30 =0.0117(只需最大/最小极差) 19 最大xbar=0.7665 -最小x=0.7005 =R0=X barDIFF=0.0660.07 20 Rbarbar= D4*= =UCLR 21 Rbarbar= D3*= =LCLR* 实验次数为2次时D4=3.27，实验次数为3次时D4=2.58；7次实验以内D3=0。UCLR，LCLR代表单个R的极限。圈出那些超出限值的值，区分缘由并纠正。同一评价人采用最初仪器反复这些读数或剔除这些超限值并由其他观测值再次平均并计算R和极限值。 注：图4-8:量具反复性和再

8、现性报告(包括零件内变差)零件称号： 零件号： 日期： 年 月 日量具称号： 量具编号： 量具类型： 丈量参数： 尺寸规格： 执行人： 根据数据表：Rbarbar= 0.0117 XbarDIFF= 0.07 RP = 0.55测 量 系 统 分 析% 总 变 差 TV反复性设备变差EV EV = RbarbarK1 =0.01174.56 =0.0534%EV=100EV/TV =100.0534/1.178 = 4.2%实验次数 K1234.563.05 再现性评价人变差AV AV = ( XbarDIFFK2)2-(EV2/nm) 1/2 =( (0.072.70 )2 (0.052/5

9、2 )1/2 =0.178%AV =100AV/TV =1000.178/1.178 =15.3%n=零件数量m=实验次数 评价人23K23.652.70反复性和再现性(GR&R)GR&R = (EV2+AV2)1/2 = (0.052+0.182)1/2 =0.187%GR&R =100GR&R/TV =100.187/1.178 =15.9%零件数K323456 7 8 9 103.652.702.302.081.93 1.821.741.671.62零件变差PVPV =RPK3 =0.552.08 =1.144%PV =100PV/TV=1001.144/.1.178 =97%零件内变差

10、WIVWIV = x barbarWIV+ (RXbarWIVK3)2 -(EV WIV )2/nWIVm 1/2 /2 =0.126+ (0.1872)2-0.0762/(32)/2 =0.218 式中： xbarbarwiv=xwiv(行17)/ xwiv读数数量=0.63/5=0.126 nWIV =评价人数量,m=实验次数, EVWIV=Rrge(行5,10,15)/ Rrge读数数量K1=0.25/154.56 = .076 RRGE 读数数量 %WIV =100WIV/TV =1000.22/1.179 =18.7%总变差(TV)TV = (GR&R2 + PV2 + WIV2)1

11、/2 = ( 0.18 )2 + ( 1.144)2 + ( 0.218) 21/2 = 1.178图4-9:反复性极差控制图工厂部门操作人计算日期控制极限工程规范至mm 零件号机器编号日期-至-被测参数，“ 样本容量/频率 零件称号 /小时 xbarbar= UCL = LCL= 平均值 (xbar图)1.11.00.90.80.70.6.0.50.4 Rbar = UCL LCL= * 极差R图 UCLR=.130.130.12 评价人A 评价人B评价人C0.110.100.090.080.070.060.05R=.040.040.030.020.01日期 时间读数12345和Xbar=和

12、/读数数量 R=最高-最低图4-10:零件评价人均值图工厂部门操作人计算数据控制极限工程规范至mm 零件号机器编号日期-至-被测参数，“ 样本容量/频率 零件称号 /小时 x bar bar=0.8008 UCL =0.876 LCL=0.7256 平均值 (xbar图)1.1评价人A评价人B 评价人C1.00.9 UCL 0.8LCL0.70.60.50.4 Rbar = UCL LCL= * 极差R图 0.130.120.11 73%的零件平均值在限值外0.100.090.080.070.060.050.040.030.020.01日期 时间读数12345和X= 和 读数数量R=最高-最低

13、图4-11:规范均值和极差法量具反复性和再现性数据表评价人/实验次数零 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=0.76505. 极差0.550.000.050.100.10R bar a=0.066. 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 b=0.700010. 极差0.000.10.050.050.0

14、0Rbar b=0.0411. C 10.501.050.800.800.4512. 20.551.000.800.800.5013. 314. 平均值0.5251.0250.800.800.475x bar c=0.725015. 极差0.050.050.000.000.05R barc=0.03 -零件 平均值(x bar P)0.5661.0080.800.8170.458xbar=0.730Rp=0.55 -17. Rbar a=0.06 + Rbar b=0.04 + Rbar c=0.03 / 评价人数=3 R bar bar= 0.043318 最大x=0.7650- 最小x=0

15、.70 =X bar DIFF = 0.065 0.0719. Rbar bar= D4*= =UCLR20. Rbar bar= D3*= =LCLR 2次实验时D4=3.27，3次实验时D4=2.58。7次实验以内D3=0；UCLR，LCLR代表单个R的极限。圈出那些超出极限的值。查明缘由并纠正。同一评价人采用最初的仪器反复这些读数或剔除这些值并由其他观测值再次平均并计算R和极限值。 注：图4-12: 规范均值和极差法量具反复性和再现性报告零件称号： 零件号： 日期： 年 月 日量具称号： 量具编号： 量具类型： 丈量参数： 尺寸规格： 执行人： 数据表：Rbar bar=0.0433 X

16、 bar DIFF= 0.07 RP = 0.55 测 量 系 统 分 析% 总 变 差 TV反复性设备变差EV EV = RbarbarK1 =0.04334.56 =0.19760.20%EV=100EV/TV=1000.2/1.175=17.0%实验次数K1234.563.05再现性评价人变差AV AV =( XDIFFK2)2-(EV2/nm)1/2 =(0.072.70)2-(0.202/52) 1/2 =0.1780.18%AV =100AV/TV =1000.18/1.175 =15.3%n=零件数量m=实验次数 评价人23 K23.652.70反复性和再现性(GR&R)GR&R

17、 = (EV2+AV2)1/2 = (0.202+0.182)1/2 =0.269%GR&R =100GR&R/TV =1000.269/1.175 =22.9% 零件数K3 2 3 4 5 6789103.652.702.30 2.081.93 1.821.741.671.62零件变差PVPV =RPK3 =0.552.08 =1.144%PV =100PV/TV=100 1.144/ 1.175=97.4%总变差TV TV = GR&R2+PV21/2 = (0.2692+1.1442) 1/2 =1.175 (带有量具误差分量时为1.172)一切计算都基于预期5.15(在正态分布曲线之下

18、99.0%的面积)。K1为5.15/d2*，d2*取决于实验次数m和零件数与评价人数的乘积g，并假设该值大于15。d2*数值表2。AV 假设计算中根号下出现负值，评价人变差缺省为0。K2为5.15/d2*，式中d2*取决于评价人数量m和g，g为1，由于只需单极差计算。K3为5.15/d2*，式中d2*取决于零件数m和g，g为1，由于只需单极差计算。d2*D3，“质量控制和工业统计A.J.Duncan图4-13 线性图1名评价人12次实验5个零件 过程变差 = 6.001.201.000.800.600.400.20-0.00-0.20 -0.40 -0.60+ 偏 倚倚+ + + 低 名义 高

19、 4.00 6.00 8.00 10.00 基准值偏倚 = 0.05 线性 = 0.79 拟合优度(R2)= 0.98 %线性 = 13.17 图4-14: 量具特性曲线接受概率1.000.900.800.700.600.500.400.300.200.100.00 0.60 0.80 1.00 1.02 1.04 基准零件丈量 GRR=0.07 偏倚=0.05图4-15 绘制在正态概率纸上的量具特性曲线一 偏 倚 0.0023 低 % 高 % -0.016 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

20、.2 0.2 0.5 1 2 5 50 60 70 80 90 95 96 98 99.5 99.8REPEA/反复性=0.0079 未调整 -0.014 -0.012 -0.010 -0.008被测零件的基准值 图4-16:量具特性曲线0.90.60.70.81.0接 受 概 率上限下限0.00.10.20.30.40.5 -0.015 -0.010 -0.005 0 +0.005 +0.010 +0.015被测零件的基准值5附表 表5-1 平均极差分布的d2*值d2*值 g15 mg23456789101112131415161718192011.411.912.242.482.672.8

21、32.963.083.183.273.353.423.493.553.613.663.713.763.8121.281.812.152.402.602.772.913.023.133.223.303.383.453.513.573.633.683.733.7731.231.772.122.382.582.752.893.013.113.213.293.373.433.503.563.613.663.713.7641.211.752.112.372.572.742.883.003.103.203.283.363.433.493.553.613.663.713.7551.191.742.102.3

22、62.562.732.872.993.103.193.283.353.423.493.553.603.663.703.7561.181.732.092.352.562.732.872.993.103.193.273.353.423.493.553.603.653.703.7571.171.732.092.352.552.722.872.993.103.193.273.353.423.483.543.603.653.703.7581.171.722.082.352.552.722.872.983.093.193.273.353.423.483.543.603.653.703.7491.161.7

23、22.082.242.552.722.862.983.093.183.273.353.423.483.543.603.653.703.74101.161.722.082.342.552.722.862.983.093.183.273.343.423.483.543.603.653.703.74111.161.712.082.342.552.722.862.983.093.183.273.343.413.483.543.593.653.703.74121.151.712.072.342.552.722.852.983.093.183.273.343.413.483.543.593.653.703

24、.74131.151.712.072.342.552.712.852.983.093.183.273.343.413.483.543.593.653.693.74141.151.712.072.342.542.712.852.983.083.183.273.343.413.483.543.593.653.693.74151.151.712.072.342.542.712.852.983.083.183.263.343.413.483.543.593.653.693.74161.151.712.072.342.542.712.852.983.083.183.263.343.413.483.543

25、.593.643.693.74171.151.712.072.342.542.712.852.983.083.183.263.343.413.483.543.593.643.693.74181.151.712.072.332.542.712.852.983.083.183.263.343.413.483.543.593.643.693.74191.151.702.072.332.542.712.852.983.083.183.263.343.413.483.543.593.643.693.74201.141.702.072.332.542.712.852.983.083.183.263.343

26、.413.483.543.593.643.693.74201.1281.6932.072.3262.5342.7042.8472.9073.0783.1733.2583.3363.4073.4723.5323.5883.6403.6893.735表5-2: 控制图常数子组内察看次数A2D3D4d221.88003.2671.12831.02302.5751.69340.72902.2822.05950.57702.1152.32660.48302.0042.53470.4190.0761.9242.70480.3730.1.8642.84790.3370.1841.8162.970100.30

27、80.2231.7773.078110.2850.2561.7443.173120.2660.2841.7163.258130.2490.3081.6923.336140.2350.3291.6713.407150.2230.3481.6523.472表5-3：量具研讨(极差法)零件评价人A评价人B极差R= xmax-xmin10.850.800.0520.750.700.0531.000.950.0540.450.550.1050.500.600.10平均极差Rbar=Ri/5=0.35/5=0.07GRR=5.15Rbar/ d2*=5.15R/1.19=5.150.07/1.19=0.3

28、03过程变差=0.40% GRR=100GRR/过程变差 =1000.303/0.40=75.5% 表5-4：量具反复性和再现性数据评价人/实验次数零 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=0.82755. 极差0.050.000.050.100.100.000.000.050.000.10

29、R bar a=0.0456. 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 b=0.767510. 极差0.000.100.050.050.000.050.050.050.050.05R bar b=0.04511. C 10.501.050.800.800.451.000.950.801.050.8512. 20.551.000.80

30、0.800.501.050.950.801.050.8013. 314. 平均值0.5251.0250.8000.8000.4751.0250.9500.8001.0500.825x bar c=0.827515. 极差0.050.050.000.000.050.050.000.000.000.05R bar c=0.030 -16零件平均值(x barP)0.5671.0080.8000.8250.4581.0170.9420.7831.0080.667xbar =0.8075Rp=0.559 -17. R bar a=0.045 + Rbar b=0.045 + R bar c=0.03

31、/# 评价人数=3R bar bar .=0.0418 Max x=0.8275 - Min x=0.7675 =x bar Diff0.0619. Rbar bar=0.04 D4*=3.27 =UCLR0.1320. Rbar bar=0.04 D3*=0.00 =LCLR0.00 * 2次实验时D4=3.27，3次实验时D4=2.58。7次实验以内D3=0；UCLR，LCLR代表单个R的极限。圈出那些超出极限的值。查明缘由并纠正。同一评价人采用最初的量规仪器反复这些读数或剔除这些值并由其他观测值再次平均，计算R和极限值。 注：表5-5：量具反复性和再现性报告 零件号和称号： 量具称号：

32、厚薄规 日期：4/12/88丈量参数： 厚度 量具编号： X-29.34 执行人：尺寸规格： 0.6-1.0mm 量具类型： 0.0-10.1 数据表：Rbar bar=0.044 xbar DIFF= 0.06 RP = 0.559 测 量 系 统 分 析% 总 变 差 TV反复性设备变差EV EV = RbarbarK1 =0.0444.56 =0.18%EV=100EV/TV=1000.18/0.93=18.7%实验次数K1234.563.05再现性评价人变差AV AV =( XbarDIFFK2)2-(EV2/nm)1/2 =(0.062.70)2-0.182/(102)1/2 =0.

33、16%AV =100AV/TV =1000.16/0.93 =16.8%n=零件数量m=实验次数 评价人23 K23.652.70反复性和再现性(GR&R)GR&R = (EV2+AV2) 1/2 = (0.182+0.162) 1/2 =0.24%GR&R =100R&R/TV =1000.24/0.93 =25.2% 零件数K3 2 3 4 5 6789103.652.702.30 2.081.93 1.821.741.671.62零件变差PVPV =RPK3 =0.561.62 =0.90%PV =100PV/TV=1000.90/0.93=96.8%总变差TV TV =R&R2+PV2

34、1/2 = (0.242+0.902) 1/2 =0.93一切计算都基于预期5.15(在正态分布曲线之下99.0%的面积)。K1为5.15/ d2*，d2*取决于实验次数m和零件数与评价人数的乘积g，并假设该值大于15。d2*数值表2。AV 假设计算中根号下出现负值，评价人变差缺省为0。K2为5.15/d2*，式中d2*取决于评价人数量m和g，g为1，由于只需单极差计算。K3为5.15/d2*，式中d2*取决于零件数m和g，g为1，由于只需单极差计算。d2*D3，质量控制和工业统计A.J.Duncan表5-6： 量具反复性和再现性报告一垫片例如 量具R&R 均值和极差法3位评价人，10个零件，

35、2次实验 评注：特殊研讨 5.15 %总变差 规范偏向反复性 0.18 18.7再现性 0.16 16.8量具R&R 0.24 25.2零件间 0.90 96.8 基于本过程，量具合格注：容差=不适用 总变差=0.93不同数据分级数=5 置信程度CL=90.00%表5-7量具研讨比较一一样的5个零件,有和无零件内变差(WIV)研讨类型量具反复性变差再现性变差量具R&RWIV零件间变差总过程变差R&R占总过程变差%反复性单独占总变差%再现性单独占总变差%带WIV不带WIV0.05340.2000.1770.1780.1820.2690.18201.1441.1441.1781.17515.9%2

36、2.9%4.2%17.0%15.3%15.3%表5-8 量具数据一览表 零件 1 2 3 4 5 基准值 2.00 4.00 6.00 8.00 10.00 2.70 5.10 5.80 7.60 9.10 2.50 3.90 5.70 7.70 9.30 2.40 4.20 5.90 7.80 9.50 2.50 5.00 5.90 7.70 9.30 试 5 2.70 3.80 6.00 7.80 9.40 2.30 3.90 6.10 7.80 9.50 验 7 2.50 3.90 6.00 7.80 9.50 2.50 3.90 6.10 7.70 9.50 次 9 2.40 3.90

37、 6.40 7.80 9.60 2.40 4.00 6.30 7.50 9.20 数 11 2.60 4.10 6.00 7.60 9.30 2.40 3.80 6.10 7.70 9.40 零件平均值 2.49 4.13 6.03 7.71 9.38 基准值 2.00 4.00 6.00 8.00 10.00 偏倚 +0.49 +0.13 +0.03 -0.29 -0.62 极差 0.4 1.3 0.7 0.3 0.5表5-9： 计数型量具研讨小样法A 评 价 人B 评 价 人12121GGGG2GGGG3NGGGG4NGNGNGNG5GGGG6GGGG7NGNGNGNG8NGNGGG9GG

38、GG10GGGG11GGGG12GGGG13GNGGG14GGGG15GGGG16GGGG17GGGG18GGGG19GGGG20GGGG离散型数据丈量系统分析丈量原始记录表(3个丈量者)零件号第一次丈量结果第二次丈量结果ABCABC100000020100003111111400000051011006111001711011080000009010001100101001111011012000000130000001400001015010110161011011700000018000001191011112011111121000000221110112300000024111110

39、250000002611111127100100280000002911111130110011离散型数据丈量系统分析反复性百分比处置记录表(3个丈量者)零件号实践不一致次数第一次丈量第二次丈量ABCA1B1C1A2B2C210000000002010010000300011111140000000005001101100611011100170001101108000000000900100000110100000100110001101101200000000013000000000140100000101510001011016000101101170000000001800100000

40、1190101011112001011110121000000000221001110112300000000024001111110250000000002600011111127000100100280000000002900011111130101110011合计不一致次数555不一致总次数15反复性百分比的计算检查员时机总次数实践不一致次数反复性百分比A30583.3%B30583.3%C30583.3%离散型数据丈量系统分析再现性百分比处置记录表(3个丈量者)样品号第一次丈量第二次丈量第一次丈量不一致次数第二次丈量不一致次数A1B1C1A2B2C2A1-B1A1-C1B1-C1A2-

41、B2A2-C2B1-C2100000000000020100001010003111111000000400000000000051011001011106111001000011711011001101180000000000009000001000011100001000001101111011001101112000000000000130000000000001400001000010115010110101011161011011011011700000000000018000001000011191011111010002011110100010121000000000000221

42、110110001002300000000000024111110000000250000000000112611111100000027100100110110280000000000002911111100000030110011011110合计不一致次数64881210不一致总次数48%再现性=100*实践一致的总次数/时机总次数(对一切操作者分次单独比较)N为偶数:时机总次数=零件数n*(每个零件每次被丈量的时机数N2/4)N为奇数:时机总次数=零件数n*(每个零件每次被丈量的时机数N2-1)/4实践一致的总次数=时机总次数-实践不一致的总次数(一切操作者分次比较丈量同一零件的丈量结果

43、之间的结果)离散型数据丈量系统分析一致性百分比处置记录表(3个丈量者)零件号不一样次数对 比A1-A2A1-B1A1-B2A1-C1A1-C2A2-B1A2-B2A2-C1A2-C2B1-B2B1-C1B1-C2B2-C1B2-C2C1-C210000000000000000250100010001110003000000000000000040000000000000000580110111010101006810100101110011078000110011011110800000000000000009500001000100101110510000111100000011800011

44、001101111012000000000000000013000000000000000014500100010010011015910100001101111016800100110001111017000000000000000018500001000100101119501000100011100020500100010010011021000000000000000022510000111100000023000000000000000024500001001001010125000000000000000026000000000000000027801111111100000028

45、0000000000000000290000000000000000308100101101010101%一致性 (%GR&R)=100*实践一致的总次数/能够一致的总次数(对一切操作者分次单独比较)=N为偶数: 能够一致的总次数=零件数n*(每个零件每次被丈量的时机数N2/4)N为奇数: 能够一致的总次数=零件数n*(每个零件每次被丈量的时机数N2-1)/4实践一致的总次数=能够一致的总次数-实践不一致的总次数(对一切零件各次丈量结果分别比较不一致的次数之和)离散型数据丈量系统分析与规范一致性百分比处置记录表(3个丈量者)零件号丈量次数丈量结果规范与规范一致的丈量次数ABCABC110000

46、000200000002101000102000000031111100021111000410000000200000005110110102100101161111100020011110711100110211001108110000002000000091100000020010001101000000021000100111110100121101001121000000020000000131000000020000000141000000020100010151010110121101011161101101021011010171000000020000000181000000

47、020010001续表零件号丈量次数丈量结果规范与规范一致的丈量次数ABCABC191101101021111000201111100021011000211000000020000000221111100020111100231000000020000000241111100021101001251000000020000000261111100021111000271100010021000100281000000020000000291111100021111000301110100120111100与规范一致的丈量次数合计514851%与规范一致性(丈量的准确度)=与规范一致的丈量次数

48、(按操作者分别比较)/各操作者丈量的总次数=各操作者丈量的总次数=零件数n*各操作者对同一零件反复丈量的次数=2分布的分位数表dx20.005x20.01x20.025x20.05x20.10 x20.90 x20.95x20.975x20.99x20.99510.0000390.000160.000980.00390.01582.713.845.026.637.8820.01000.02010.05060.10260.21074.615.997.389.2110.6030.07170.1150.2160.3520.5846.257.819.3511.3412.8440.2070.2970.4

49、840.7111.0647.789.4911.1413.2814.8650.4120.5540.8311.151.619.2411.0712.8315.0916.7560.6760.8721.241.642.2010.6412.5914.4516.8118.5570.9891.241.692.172.8312.0214.0716.0118.4820.2881.341.652.182.733.4913.3615.5117.5320.0921.9691.732.092.703.334.1714.6816.9219.0221.6723.59102.162.563.253.944.8715.9918.

50、3120.4823.2125.19112.603.053.824.575.5817.2819.6821.9224.7326.76123.073.574.405.236.3018.5521.0323.3426.2228.30133.574.115.015.897.0419.8122.3624.7427.6929.82144.074.665.636.577.7921.0623.6826.1229.1431.32154.605.236.267.268.5522.3125.0027.4930.5832.80165.145.816.917.969.3123.5426.3028.8532.0034.271

51、86.267.018.239.3910.8625.9928.8731.5334.8137.16207.438.269.5910.8512.4428.4131.4134.1737.5740.00249.8910.8612.4013.8515.6633.2036.4239.3642.9845.563013.7914.9516.7918.4920.6040.2643.7746.9850.8953.674020.7122.1624.4326.529.0551.8155.7659.3463.6966.776035.5337.4840.4843.1946.4674.4079.0883.3088.3891.

52、9512083.8586.9291.5795.70100.62140.23146.57152.21158.95163.64t分布的分位数表dt0.60t0.70t0.80t0.90t0.95t0.975t0.99t0.99510.3250.7271.3763.0786.31412.70631.82163.65720.2890.6171.0611.8862.9204.3036.9659.92530.2770.5840.9781.6382.3533.1824.5415.84140.2710.5690.9411.5332.1322.7763.7474.60450.2670.5590.9201.476

53、2.0152.5713.3654.03260.2650.5530.9061.4401.9432.4473.1433.70770.2630.5490.8961.4151.8952.3652.9983.49980.2620.5460.8891.3971.8602.3062.8963.35590.2610.5430.8831.3830.8332.2622.8213.250100.2600.5420.8971.3721.8122.2282.7643.169110.2600.5400.8761.3631.7962.2012.7183.106120.2590.5390.8731.3561.7822.179

54、2.6813.055130.2590.5380.8701.3501.7712.1602.6503.012140.2580.5370.8681.3451.7612.1452.6242.977150.2580.5360.8661.3411.7532.1312.6022.947160.2580.5350.8651.3371.7462.1202.5832.921170.2570.5340.8631.3331.7402.1102.5672.898180.2570.5340.8621.3301.7342.1012.5522.878190.2570.5330.8611.3281.7292.0932.5392

55、.861200.2570.5330.8601.3251.7252.0862.5282.861210.2570.5320.8591.3231.7212.0802.5182.831220.2560.5320.8581.3211.7172.0742.5082.819230.2560.5320.8581.3191.7142.0692.5002.807240.2560.5310.8571.3181.7112.0642.4922.797250.2560.5310.8561.3161.7082.0602.4852.787260.2560.5310.8561.3151.7062.0562.4792.77927

56、0.2560.5310.8551.3141.7032.0522.4732.771280.2560.5300.8551.3131.7012.0482.4672.763290.2560.5300.8541.3111.6992.0452.4622.756300.2560.5300.8541.3101.6972.0422.4572.750400.2550.5290.8511.3031.6842.0212.4232.704600.2540.5270.8481.2961.6712.0002.3902.6601200.2540.5260.8451.2891.6581.9802.3582.6170.2530.

57、5240.8421.2821.6451.9602.3262.576F分布的0.95分位数F0.95(n1,n2)表 n1n212345678910121520243040601201161.4199.5215.7224.6230.2234.0236.8238.9240.5241.9243.9245.9248.0249.1250.1251.1252.2253.3254.3218.5119.0019.1619.2519.3019.3319.3519.3719.3819.4019.4119.4319.4519.4519.4619.4719.4819.4919.50310.139.559.289.12

58、9.018.948.898.858.818.798.748.708.668.648.628.598.578.558.5347.716.946.596.396.266.166.096.046.005.965.915.565.805.775.755.725.695.665.6356.615.795.415.195.054.954.884.824.774.744.684.624.564.534.504.464.434.404.3665.995.144.764.534.394.284.214.154.104.064.003.943.873.843.813.773.743.703.6775.594.74

59、4.354.123.973.873.793.733.683.643.573.513.443.413.383.343.303.273.2385.324.464.073.843.693.583.503.443.393.353.283.223.153.123.083.043.012.972.9395.124.263.863.633.483.373.293.233.183.143.073.012.942.902.862.832.792.752.71104.964.103.713.483.333.223.143.073.022.982.912.852.772.742.702.662.622.582.54

60、114.843.983.593.363.203.093.012.952.902.852.792.722.652.612.572.532.492.452.40124.753.893.493.263.113.002.912.852.802.752.692.622.542.512.472.432.382.342.30134.673.813.413.183.032.922.832.772.712.672.602.532.462.422.382.342.302.252.21144.603.743.343.112.962.852.762.702.652.602.532.462.392.352.312.27