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CPK 分析图表

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X—R 控 制 图

产品件号R图产品名称控制项目测量单位日期/时间批号12345678910111213141516171819202122232425ΣＸ＝372.59样12.452.602.482.462.472.502.502.502.582.442.452.482.482.482.472.442.482.482.472.452.512.502.492.612.48ΣＲ＝2.02本22.512.512.492.532.452.492.482.512.482.472.562.472.482.582.512.482.512.472.522.482.422.512.472.482.59测32.522.482.482.452.462.462.502.512.512.532.482.502.472.482.482.472.442.462.482.472.582.512.522.472.46定42.462.502.422.422.452.502.452.502.512.492.472.492.492.522.462.482.462.502.512.492.462.482.472.462.47> USL 蓝色值52.492.482.502.472.522.472.472.492.522.482.472.482.472.472.482.492.472.452.452.452.502.462.452.532.47< LSL 红色62.492.472.492.522.502.482.462.482.512.512.412.472.482.492.412.472.452.482.472.482.432.482.462.482.46 Ｎ＝150ΣＸ14.9215.0414.8614.8514.8514.9014.8614.9915.1114.9214.8414.8914.8715.0214.8114.8314.8114.8414.9014.8214.9014.9414.8615.0314.93Ｘ2.492.512.482.482.482.482.482.502.522.492.472.482.482.502.472.472.472.472.482.472.482.492.482.512.49Ｘ＝2.48R0.070.130.080.110.070.040.050.030.100.090.150.030.020.110.100.050.070.050.070.040.160.050.070.150.13R=0.08x

Std.Dev.=0.03 Sigma =0.03RＰＰＫ=1.35 PP =1.52 Ca =10.71%ＣＰＫ=1.40 CP =1.57B平 均

14

过程能力分析预估不良率 (PPM)

Grade =合 计2.48

备注及原因跟踪:计量数值的判定条件日 期7月20日2.440.00测量者zhang yong xiuA3线Q1抽样方法随机2011-7-20中心限CL规 格标 准每组大小控 制X 图期间上限 USL2.65上限 UCL

控制图2.50中心限CL总组数mm下限 LSL2.35下限 LCL25端子卡点尺寸

控制图制 造部 门2.520.166机 组LCH-C742-097DC CORD0.08

0.00 0.05 0.10 0.15 0.20

123456789101112131415161718192021222324252.42 2.44 2.46 2.48 2.50 2.52 2.54

12345678910111213141516171819202122232425Ｘ

合集下载

实用CPK计算图表

实用CPK计算图表

●组容A2D3D4d221.88*3.271.13●31.02*2.571.6940.73*2.282.0650.58*2.112.3360.48*2.002.5370.420.081.922.7080.370.141.862.8590.340.181.822.97100.310.221.783.08USL-XX-LSL3R/d23R/d2=Min(0.3450.413) =0.3451234567891011121314151617181920212223242511.6001.5501.5861.6051.5701.5051.6431.5951.5501.5951.5851.5051.5571.5751.5321.5001.5501.5601.5301.5751.6271.5501.5651.5501.52521.5401.5851.5351.5361.5451.5501.4871.5851.5151.4801.5391.5951.5401.5851.5951.5451.5611.5801.5001.5601.5851.5701.5901.5501.55831.5201.5651.5071.5051.5431.6301.4351.5051.5751.4871.5701.5801.5251.5601.5831.4901.5901.5481.5851.5001.4661.4501.5601.5651.58041.5521.5351.5751.5581.5701.5801.6061.5701.6101.6601.5421.5001.5901.5701.5501.5301.5701.5601.6451.5351.5231.5051.5351.5551.57051.5901.5321.5951.5501.4901.5431.5301.5851.5701.5201.5761.5501.5601.5501.6301.5691.6001.5701.5501.4601.5601.5351.5821.5601.5437.8027.7677.7987.7547.7187.8087.7017.8407.8207.7427.8127.7307.7727.8407.8907.6347.8717.8187.8107.6307.7617.6107.8327.7807.7761.5601.5531.5601.5511.5441.5621.5401.5681.5641.5481.5621.5461.5541.5681.5781.5271.5741.5641.5621.5261.5521.5221.5661.5561.5551.5551.5551.5551.5551.5551.5551.5551.5551.5551.5551.5551.5551.5551.5551.5551.5551.5551.5551.5551.5551.5551.5551.5551.5551.5551.6211.6211.6211.6211.6211.6211.6211.6211.6211.6211.6211.6211.6211.6211.6211.6211.6211.6211.6211.6211.6211.6211.6211.6211.6211.4881.4881.4881.4881.4881.4881.4881.4881.4881.4881.4881.4881.4881.4881.4881.4881.4881.4881.4881.4881.4881.4881.4881.4881.4880.0800.0530.0880.1000.0800.1250.2080.0900.0950.1800.0460.0950.0650.0350.0980.0790.0500.0320.1450.1150.1610.1200.0550.0150.0550.0910.0910.0910.0910.0910.0910.0910.0910.0910.0910.0910.0910.0910.0910.0910.0910.0910.0910.0910.0910.0910.0910.0910.0910.0910.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.2070.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.000建议：0.207②注明对过程因素（人机料法环

中文cpk图表(1)

中文cpk图表(1)

过程能力验证报告50'01 PSW'!A6'01 PSW'!A14'01 PSW'!D10'01 PSW'!A8日期加工场所工厂上海立杰汽车附件有限公司部门质量保证部过程信息描述性统计数值零件号零件描述数据点的重要趋势X 图R 图样本个数100图号工程变更链长度33下规范限 (LSL)226.900设备设备号 链数42公称尺寸0.000描述单位链长度56上规范限 (USL)227.100工程规范227正偏差0.10负偏差0.10链数11总和22,701.440下规范限226.90公称尺寸上规范限227.10超出控制限00平均值 (X)227.014最大值227.080最小值226.950小于下规范限的样本数0大于下规范限的样本数0平均极差 (R)0.066常数D2 (n=5)2.326上单边容差能力指数(CPU)1.006下单边容差能力指数 (CPL)1.344能力指数 (Cp)1.175过程能力(Cpk)1.01能力比值 (CR)4.605均方差 (n-1)0.030均方差 (n)0.030方差 (n-1)0.001方差 (n)0.001性能指数 (PP)1.121性能比值 (PR)0.892性能指数 (Ppk)0.96n12345678910111213141516171819201226.99227.02227.06227.03226.98226.98226.98227.03227.06227.02226.98227.03227.06227.04226.98226.98227.02227.05227.06227.012226.98227.02227.02227.02227.03226.98226.99227.02227.03227.01227.02227.08226.97226.96226.98226.98226.96227.02227.06227.013227.02227.02227.01227.03226.98226.98227.02227.03227.01227.02227.01227.06227.05227.06227.02226.98226.98226.98226.97227.034227.02227.06227.02226.98226.98227.01227.03227.03227.01227.05226.98227.02227.01227.02227.05227.06227.01227.05227.02227.065227.06227.01227.03227.01227.01226.98227.01227.06227.02226.98226.96226.98227.02226.98227.01226.95227.01227.05227.02227.06平均值227.014227.026227.028227.014226.996226.986227.006227.034227.026227.016226.990227.034227.022227.012227.008226.990226.996227.030227.026227.034极差0.0800.0500.0500.0500.0500.0300.0500.0400.0500.0700.0600.1000.0900.1000.0700.1100.0600.0700.0900.050NOTES8 consecutive data points above average X8 consecutive data points below average X上升下降尺寸零件227.052 2.000 3.000 4.000 5.000 6.000 7.000 8.000 9.000 10.000 11.000 12.000 13.000 14.000 15.000 16.000 17.000 18.000 19.000 20.000 227.014 2.000 3.000 4.000 5.000 6.000 7.000 8.000 9.000 10.000 11.000 12.000 13.000 14.000 15.000 16.000 17.000 18.000 19.000 20.000 226.976 2.000 3.000 4.000 5.000 6.000 7.000 8.000 9.000 10.000 11.000 12.000 13.000 14.000 15.000 16.000 17.000 18.000 19.000 20.000 226.920 226.940 226.960 226.980 227.000 227.020 227.040 227.060 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 平均值 子组数 平均值 (X图) UCLx AveX LCLx Data Values 0.140 2.000 3.000 4.000 5.000 6.000 7.000 8.000 9.000 10.000 11.000 12.000 13.000 14.000 15.000 16.000 17.000 18.000 19.000 20.000 0.066 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0.000 0.020 0.040 0.060 0.080 0.100 0.120 0.140 0.160 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 极差 子组数 极差 (R 图) UCLr AveR LCLr Data Values 0 4 24 2 16 33 1 19 0 1 0 0 5 10 15 20 25 30 35 频数 直方图 矩形 分布形状 双边容差下单边容差(MIN)上单边容差 (MAX)

CPK数据制作操作指导(09-18-22-54-29)

CPK数据制作操作指导(09-18-22-54-29)

CPK统计在测试数据分析中的应用 内部公开

2013-8-3 华为机密，未经许可不得扩散 第1页, 共7页

CPK统计在测试数据分析中的应用

试制工程部 郑武

一、几个定义

CPK：制程能力指数，是某个工程或制程水准的量化反映，也是工程评估的一类指标。

Ca（Capability of Accuracy）: 制程准确度（数据是否平均分布于规格中心周围）

Cp（Capability of Precision）: 制程精密度（数据分布是否集中）

单边规格：只有规格上限和规格中心或只有下限或规格中心的规格;此时数据越接近上限或下限越好﹔如误码率，指标越接近零越好。

双边规格：有上下限与中心值,而上下限与中心值对称的规格；此时数据越接近中心值越好；

 USL (Upper specification limit):即规格上限

 LSL (Low specification limit): 即规格下限

 规格中心

2)(LSLUSLC

 平均值 nXXXXn)(21 (n为样本数)

 规格公差 LSLUSLT

 标准差122221nXXXXXXn 图1 规格示意图

二、Ca、Cp、Cpk 计算方法

表1

CPK统计在测试数据分析中的应用 内部公开

2013-8-3 华为机密，未经许可不得扩散 第2页, 共7页

对于单边规格的指标CPK没意义，这时只考虑Cp，如上表1所示。Cpk 是Cp和Ca的综合表现

将;2/TCXCa 6TCp 代入 CaCpCpk1

化简得：62CXTCpk，进一步化简

得

3;,03;,0222111LSLXCpkLSLXXUSLCXXUSLCpkLSLXXUSLCX则则

过程能力分析表CPK

过程能力分析表CPK

型 号：编 号：料 号:日 期：检测样本：30 Pcs订 单 号：评估尺寸：外形尺寸出货数量：

中间值 =12.200mmXbar（平均值）=12.134mm标准值：12.20mmUTL（上限） =12.35mmS（标准差）=0.009公 差：+0.15mmLTL （下限） =12.05mm-3S =12.11-0.15mm+3S =12.16CPK:3.27

不规则抽样123456Max=12.15mm12.1512.1312.1312.1412.1312.13Min=12.11mm12.1412.1312.1112.1212.1312.14Cp=5.8512.1512.1212.1412.1312.1412.13Cpku=8.4212.1412.1312.1412.1412.1312.13Cpkl=3.2712.1412.1412.1312.1312.1412.14Value>1平均值(x)12.1412.1312.1312.1312.1312.13极差值(R)0.010.020.030.020.010.01

12.3512.050.02512.03012.06012.08612.11812.13712.16912.18612.21012.230过 程 能 力 分 析 报 告

PROCESS CAPABILITY ANALYSIS REPORT

实测尺寸

结果OK!

制 表审 核日期0.00 5.00 10.00 15.00 20.00 25.00

123456789图表

+3SCL-3S

12.1212.1312.1312.1412.1412.1512.15

123456X-bar 图

0.00 0.02 0.04 0.06 0.08 0.10 0.12 0.14 0.16

123456R-bar 图