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Control Chart Constants#

List of the \(c_4\), \(c_5\), \(d_2\), \(d_3\) and \(e_1\) control chart constants ([Cano et al. 2015], [Montgomery 2009], [Walker et al. 2012], [Statsoft 2009], [Milivojevich 2015]).

Subgroup size (n) \(c_4\) \(c_5\) \(d_2\) \(d_3\) \(e_1\)
2 0.797885 0.60281 1.1284 0.8525 1
3 0.886227 0.463251 1.6926 0.8884 1.16
4 0.921318 0.38881 2.0588 0.8798 1.093
5 0.939986 0.341213 2.3259 0.8641 1.198
6 0.951533 0.307547 2.5344 0.848 1.134
7 0.959369 0.282154 2.7044 0.8332 1.214
8 0.96503 0.262139 2.8472 0.8198 1.162
9 0.969311 0.245838 2.97 0.8078 1.223
10 0.972659 0.232238 3.0775 0.7971 1.174
11 0.97535 0.220663 3.1729 0.7873 1.228
12 0.977559 0.210662 3.2585 0.7785 1.188
13 0.979406 0.201901 3.336 0.7704 1.233
14 0.980971 0.194154 3.4068 0.763 1.2
15 0.982316 0.187231 3.4718 0.7562 1.237
16 0.983484 0.180995 3.532 0.7499
17 0.984506 0.175351 3.5879 0.7441
18 0.98541 0.170197 3.6401 0.7386
19 0.986214 0.165475 3.689 0.7335
20 0.986934 0.161125 3.7349 0.7287
21 0.987583 0.157098 3.7783 0.7242
22 0.98817 0.153362 3.8194 0.7199
23 0.988705 0.149875 3.8583 0.7159
24 0.989193 0.146619 3.8953 0.7121
25 0.98964 0.143571 3.9306 0.7084
26 0.990052 0.140702 3.965 0.7041
27 0.990433 0.137994 3.997 0.7012
28 0.990786 0.135437 4.028 0.6983
29 0.991113 0.133023 4.058 0.6956
30 0.991418 0.13073 4.086 0.6929
31 0.991703 0.12855 4.113 0.6902
32 0.991969 0.126481 4.139 0.6877
33 0.992219 0.124505 4.164 0.6852
34 0.992454 0.122618 4.189 0.6828
35 0.992675 0.120815 4.213 0.6804
36 0.992884 0.119086 4.236 0.6781
37 0.99308 0.11744 4.258 0.6758
38 0.993267 0.115848 4.28 0.6736
39 0.993443 0.114328 4.301 0.6715
40 0.993611 0.112859 4.322 0.6694
41 0.99377 0.11145 4.342 0.6674
42 0.993922 0.110087 4.361 0.6654
43 0.994066 0.108779 4.38 0.6635
44 0.994203 0.107519 4.398 0.6617
45 0.994335 0.106292 4.415 0.6598
46 0.99446 0.105116 4.432 0.6581
47 0.99458 0.103974 4.449 0.6564
48 0.994695 0.102868 4.466 0.6547
49 0.994806 0.101789 4.482 0.6531
50 0.994911 0.100758 4.498 0.6515

Table: Constants for \(c_4\), \(c_5\), \(d_2\), \(d_3\) and \(e_1\)