sigma水平、公差范围、CPK与不良率(PPM)对照表

1666.7%0.180.06800000107.5% 2.790.935270.868.0% 4.41 1.4710.34 769.2%0.390.137********.4% 2.820.944802.3667.6% 4.44 1.489 625.0%0.480.166********.3% 2.850.954371.9267.1% 4.47 1.497.82 454.5%0.660.22500000104.2% 2.880.963976.7566.7% 4.5 1.5 6.8 357.1%0.840.28400000103.1% 2.910.973614.2966.2% 4.53 1.51 5.9 303.0%0.990.33317310102.0% 2.940.983282.1265.8% 4.56 1.52 5.12 285.7% 1.050.35293800101.0% 2.970.99297865.4% 4.59 1.53 4.43 263.2% 1.140.38250000100.0%312699.864.9% 4.62 1.54 3.84 250.0% 1.20.423020099.0% 3.03 1.012445.5464.5% 4.65 1.55 3.32 232.6% 1.290.4320000098.0% 3.06 1.022213.3764.1% 4.68 1.56 2.87 222.2% 1.350.4517700097.1% 3.09 1.032001.5663.7% 4.71 1.57 2.48 208.3% 1.440.4815000096.2% 3.12 1.041808.5163.3% 4.74 1.58 2.14 196.1% 1.530.51126016.7395.2% 3.15 1.051632.762.9% 4.77 1.59 1.84 192.3% 1.560.52118759.8894.3% 3.18 1.061472.7562.5% 4.8 1.6 1.59 188.7% 1.590.53111834.8193.5% 3.21 1.071327.3562.1% 4.83 1.61 1.37 185.2% 1.620.54105232.2892.6% 3.24 1.081195.361.7% 4.86 1.62 1.17 181.8% 1.650.5598942.9491.7% 3.27 1.091075.4761.3% 4.89 1.63 1.01 178.6% 1.680.5692957.3290.9% 3.3 1.1966.8561.0% 4.92 1.640.8654 175.4% 1.710.5787265.8790.1% 3.33 1.11868.4660.6% 4.95 1.650.7421 172.4% 1.740.5881859.0289.3% 3.36 1.12779.4260.2% 4.98 1.660.6358 169.5% 1.770.5976727.1488.5% 3.39 1.13698.9359.9% 5.01 1.670.5443 166.7% 1.80.671860.6487.7% 3.42 1.14626.2159.5% 5.04 1.680.4655 163.9% 1.830.6167249.9487.0% 3.45 1.15560.5959.2% 5.07 1.690.3978 161.3% 1.860.6262885.5386.2% 3.48 1.16501.4158.8% 5.1 1.70.3397 158.7% 1.890.6358757.9685.5% 3.51 1.17448.1158.5% 5.13 1.710.2897 156.3% 1.920.6454857.984.7% 3.54 1.18400.1358.1% 5.16 1.720.2469 153.8% 1.950.6551176.1284.0% 3.57 1.19356.9857.8% 5.19 1.730.2103 151.5% 1.980.6647703.5383.3% 3.6 1.2318.2257.5% 5.22 1.740.1789 149.3% 2.010.6744431.1982.6% 3.63 1.21283.4257.1% 5.25 1.750.1521 147.1% 2.040.6841350.3382.0% 3.66 1.22252.2256.8% 5.28 1.760.1292 144.9% 2.070.6938452.3481.3% 3.69 1.23224.2556.5% 5.31 1.770.1096

142.9% 2.10.735728.8480.6% 3.72 1.24199.2256.2% 5.34 1.780.0929 140.8% 2.130.7133171.6180.0% 3.75 1.25176.8355.9% 5.37 1.790.0787 138.9% 2.160.7230772.6779.4% 3.78 1.26156.8355.6% 5.4 1.80.0666 137.0% 2.190.7328524.2478.7% 3.81 1.27138.9755.2% 5.43 1.810.0564 135.1% 2.220.7426418.7778.1% 3.84 1.28123.0354.9% 5.46 1.820.0476 133.3% 2.250.7524448.9577.5% 3.87 1.29108.8454.6% 5.49 1.830.0402 131.6% 2.280.7622607.6976.9% 3.9 1.396.1954.3% 5.52 1.840.0339 129.9% 2.310.7720888.1576.3% 3.93 1.3184.9554.1% 5.55 1.850.0286 128.2% 2.340.7819283.7475.8% 3.96 1.3274.9553.8% 5.58 1.860.0241 126.6% 2.370.7917788.0975.2% 3.99 1.3366.0753.5% 5.61 1.870.0202 125.0% 2.40.816395.0774.6% 4.02 1.3458.253.2% 5.64 1.880.017 123.5% 2.430.8115098.8274.1% 4.05 1.3551.2252.9% 5.67 1.890.0143 122.0% 2.460.8213893.773.5% 4.08 1.3645.0452.6% 5.7 1.90.012 120.5% 2.490.8312774.3173.0% 4.11 1.3739.5752.4% 5.73 1.910.01 119.0% 2.520.8411735.4872.5% 4.14 1.3834.7352.1% 5.76 1.920.0084 117.6% 2.550.8510772.2971.9% 4.17 1.3930.4651.8% 5.79 1.930.007 116.3% 2.580.869880.0371.4% 4.2 1.426.6951.5% 5.82 1.940.0059 114.9% 2.610.879054.2270.9% 4.23 1.4123.3751.3% 5.85 1.950.0049 113.6% 2.640.888290.670.4% 4.26 1.4220.4451.0% 5.88 1.960.0041 112.4% 2.670.897585.1269.9% 4.29 1.4317.8750.8% 5.91 1.970.0034 111.1% 2.70.96933.9569.4% 4.32 1.4415.650.5% 5.94 1.980.0029 109.9% 2.730.916333.4369.0% 4.35 1.4513.6150.3% 5.97 1.990.0024 108.7% 2.760.925780.1468.5% 4.38 1.4611.8750.0%620.002

Note: 1、available for bilateral tolerance (双向公差适用)

2、k(σ)对应于控制范围,σ是实际的计算值,如果客户规范公差范围对应的k值是2.34,对应的cpk是0.78,不良品率=19283ppm

3、%T是实际控制6σ占规范公差T的比例,假如实际6σ等于规范公差T,则CPk=1.0。CPK要达到1.33的水平,6σ=T*75%。

举例: 1、客户公差范围T=5,我们内控6σ范围=4,则%T=80%,对应的CPK=1.25,不良品率=175.8ppm

2、实际的CPK=0.83,控制范围:±2.49σ,按6sigma理论则是5sigma。

3、6sigma项目是指CPK2.0,公差带内需能容纳12σ(±6σ)。

sigma水平、公差范围、CPK与不良率(PPM)对照表

1666.7%0.180.06800000107.5% 2.790.935270.868.0% 4.41 1.4710.34 769.2%0.390.137********.4% 2.820.944802.3667.6% 4.44 1.489 625.0%0.480.166********.3% 2.850.954371.9267.1% 4.47 1.497.82 454.5%0.660.22500000104.2% 2.880.963976.7566.7% 4.5 1.5 6.8 357.1%0.840.28400000103.1% 2.910.973614.2966.2% 4.53 1.51 5.9 303.0%0.990.33317310102.0% 2.940.983282.1265.8% 4.56 1.52 5.12 285.7% 1.050.35293800101.0% 2.970.99297865.4% 4.59 1.53 4.43 263.2% 1.140.38250000100.0%312699.864.9% 4.62 1.54 3.84 250.0% 1.20.423020099.0% 3.03 1.012445.5464.5% 4.65 1.55 3.32 232.6% 1.290.4320000098.0% 3.06 1.022213.3764.1% 4.68 1.56 2.87 222.2% 1.350.4517700097.1% 3.09 1.032001.5663.7% 4.71 1.57 2.48 208.3% 1.440.4815000096.2% 3.12 1.041808.5163.3% 4.74 1.58 2.14 196.1% 1.530.51126016.7395.2% 3.15 1.051632.762.9% 4.77 1.59 1.84 192.3% 1.560.52118759.8894.3% 3.18 1.061472.7562.5% 4.8 1.6 1.59 188.7% 1.590.53111834.8193.5% 3.21 1.071327.3562.1% 4.83 1.61 1.37 185.2% 1.620.54105232.2892.6% 3.24 1.081195.361.7% 4.86 1.62 1.17 181.8% 1.650.5598942.9491.7% 3.27 1.091075.4761.3% 4.89 1.63 1.01 178.6% 1.680.5692957.3290.9% 3.3 1.1966.8561.0% 4.92 1.640.8654 175.4% 1.710.5787265.8790.1% 3.33 1.11868.4660.6% 4.95 1.650.7421 172.4% 1.740.5881859.0289.3% 3.36 1.12779.4260.2% 4.98 1.660.6358 169.5% 1.770.5976727.1488.5% 3.39 1.13698.9359.9% 5.01 1.670.5443 166.7% 1.80.671860.6487.7% 3.42 1.14626.2159.5% 5.04 1.680.4655 163.9% 1.830.6167249.9487.0% 3.45 1.15560.5959.2% 5.07 1.690.3978 161.3% 1.860.6262885.5386.2% 3.48 1.16501.4158.8% 5.1 1.70.3397 158.7% 1.890.6358757.9685.5% 3.51 1.17448.1158.5% 5.13 1.710.2897 156.3% 1.920.6454857.984.7% 3.54 1.18400.1358.1% 5.16 1.720.2469 153.8% 1.950.6551176.1284.0% 3.57 1.19356.9857.8% 5.19 1.730.2103 151.5% 1.980.6647703.5383.3% 3.6 1.2318.2257.5% 5.22 1.740.1789 149.3% 2.010.6744431.1982.6% 3.63 1.21283.4257.1% 5.25 1.750.1521 147.1% 2.040.6841350.3382.0% 3.66 1.22252.2256.8% 5.28 1.760.1292 144.9% 2.070.6938452.3481.3% 3.69 1.23224.2556.5% 5.31 1.770.1096

CPK 不合格率对照表

Cpk PPM Cpk PPM Cpk PPM 0.51 126016.73 1.01 2445.54 1.51 5.90 0.52 118759.88 1.02 2213.37 1.52 5.12 0.53 111834.81 1.03 2001.56 1.53 4.43 0.54 105232.28 1.04 1808.51 1.54 3.84 0.55 98942.94 1.05 1632.70 1.55 3.32 0.56 92957.32 1.06 1472.75 1.56 2.87 0.57 87265.87 1.07 1327.35 1.57 2.48 0.58 81859.02 1.08 1195.30 1.58 2.14 0.59 76727.14 1.09 1075.47 1.59 1.84 0.60 71860.64 1.10 966.85 1.60 1.59 0.61 67249.94 1.11 868.46 1.61 1.37 0.62 62885.53 1.12 779.42 1.62 1.17 0.63 58757.96 1.13 698.93 1.63 1.01 0.64 54857.90 1.14 626.21 1.64 0.8654 0.65 51176.12 1.15 560.59 1.65 0.7421 0.66 47703.53 1.16 501.41 1.66 0.6358 0.67 44431.19 1.17 448.11 1.67 0.5443 0.68 41350.33 1.18 400.13 1.68 0.4655 0.69 38452.34 1.19 356.98 1.69 0.3978 0.70 35728.84 1.20 318.22 1.70 0.3397 0.71 33171.61 1.21 283.42 1.71 0.2897 0.72 30772.67 1.22 252.22 1.72 0.2469 0.73 28524.24 1.23 224.25 1.73 0.2103 0.74 26418.77 1.24 199.22 1.74 0.1789 0.75 24448.95 1.25 176.83 1.75 0.1521 0.76 22607.69 1.26 156.83 1.76 0.1292 0.77 20888.15 1.27 138.97 1.77 0.1096 0.78 19283.74 1.28 123.03 1.78 0.0929

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