控制图的常熟和公式表

均值Ｘ图均值Ｘ图n A 2d 2D 3D 4A 3c 4B 3B 42
1.880 1.128- 3.267
2.6590.7979-
3.2763
1.023 1.693-
2.571 1.9540.8862- 2.5684
0.729 2.059- 2.282 1.6280.9213- 2.2665
0.577 2.326- 2.114 1.4270.9400- 2.0896
0.483 2.543- 2.004 1.2870.95150.030 1.9707
0.419 2.7040.076 1.924 1.1820.95940.118 1.8828
0.373 2.8470.136 1.864 1.0990.96500.185 1.8159
0.337 2.9700.184 1.816 1.0320.96930.239 1.76110
0.308 3.0780.223 1.7770.9750.97270.284 1.71611
0.285 3.1730.256 1.7440.9270.97540.321 1.67912
0.266 3.2580.283 1.7170.8860.97760.354 1.64013
0.249 3.3360.307 1.6930.8500.97940.382 1.61814
0.235 3.4070.328 1.6720.8170.98100.406 1.59415
0.223 3.4720.347 1.6530.7890.98230.428 1.57216
0.212 3.5320.363 1.6370.7630.98350.448 1.55217
0.203 3.5880.378 1.6220.7390.98450.446 1.53418
0.194 3.6400.391 1.6080.7180.98540.482 1.51819
0.187 3.6890.403 1.5970.6980.98620.497 1.50320
0.180 3.7350.415 1.5850.6800.98690.510 1.49021
0.173 3.7780.425 1.5750.6630.98760.523 1.47722
0.167 3.8190.434 1.5660.6470.98820.534 1.46623
0.162 3.8580.443 1.5570.6330.98870.545 1.45524
0.157 3.8950.451 1.5480.6190.98920.555 1.445250.153 3.931
0.459 1.5410.6060.98960.565 1.435X±A 2R X±A 2R 中位数Ｘ图单值Ｘ图n A 2d 2D 3D 4E 2d 2D 3D 4
标准差估计值的除数控制图的常熟和公式表
Ｘ-Ｒ图 Ｘ-s图 全距Ｒ图 标准差Ｓ图 UCL X ,LCL X =
UCL X ,LCL X =子组容量计算控制限用的系数标准差估计值的除数计算控制限用的系数计算控制限用的系数计算控制限用的系数UCL R = D 4R
UCL S = B 4s LCL R = D 3R
LCL S = B 3s δ=R/D 2
δ= s/c 4
中位数图單值圖 全距Ｒ图 全距Ｒ图 子组容量计算控制限用的系数标准差估计值的除数计算控制限用的系数计算控制限用的系数标准差估计值的除数计算控制限用的系数
2 1.880
1.128- 3.267
2.660 1.128-
3.2673 1.187
1.693-
2.574 1.772 1.693- 2.57440.796
2.059- 2.282 1.457 2.059- 2.28250.691
2.326- 2.114 1.290 2.326- 2.11460.548
2.534- 2.004 1.184 2.534- 2.00470.508
2.7040.076 1.924 1.109 2.7040.076 1.92480.433
2.8470.136 1.864 1.054 2.8470.136 1.86490.412
2.9700.184 1.816 1.010 2.9700.184 1.816100.362
3.0780.223 1.7770.975 3.0780.223 1.777X±A 2R X±E 2R δ=R/d 2δ= R/d 2UCL X ,LCL X =
UCL X ,LCL X =UCL R = D 4R
UCL MR = D 4R LCL R = D 3R
LCL MR = D 3R
UCL P ,LCL P ==UCL np ,LCL np =UCL C ,LCL C =UCL U
,LCL U
=
Cpk＝( 1 － k ) ｘ Cp 或 MIN {CPU,CPL}
Ppk＝( 1 － k ) ｘ Pp 或 MIN {PPU,PPL}
单边规格(设计规格)因没有规格上限或下限,没有规格下限 Cp ＝ CPU ＝ Cpk,没有规格上限 C P±3√
P ( 1 - P )
/√n
P±3√P ( 1 - P ) /n
nP±3√n P ( 1 - P )C±3√C
U±3√U/√n
上限 Cp ＝ CPL ＝ Cpk。