Control Charts Cheat Sheet

Selecting a Control Chart:

Data Type	Measurement Type	Subgroup Size	Control Chart
Variable	Individual	1	Individual & MR (Moving Range)
Variable	Continuous	2-9 (small)	X-bar & R
Variable	Continuous	10+ (large)	X-bar & S
Attribute	Defective	Constant	p Chart
Attribute	Defective	Variable	np Chart
Attribute	Defect	Constant	c Chart
Attribute	Defect	Variable	u Chart

Control Chart Limits (UCL, LCL and Mean)

Control Chart	Center Line	Upper Control Limit (UCL)	Lower Control Limit (LCL)
X-bar Chart	$$\bar{X}$$	$$\bar{X} + A_2 \bar{R}$$	$$\bar{X} - A_2 \bar{R}$$
R Chart	$$\bar{R}$$	$$D_4 \bar{R}$$	$$D_3 \bar{R}$$
S Chart	$$\bar{S}$$	$$B_4 \bar{S}$$	$$B_3 \bar{S}$$
p Chart	$$\bar{p}$$	$$\bar{p} + 3\sqrt{\frac{\bar{p}(1-\bar{p})}{n}}$$	$$\bar{p} - 3\sqrt{\frac{\bar{p}(1-\bar{p})}{n}}$$
np Chart	$$n\bar{p}$$	$$n\bar{p} + 3\sqrt{n\bar{p}(1-\bar{p})}$$	$$n\bar{p} - 3\sqrt{n\bar{p}(1-\bar{p})}$$
c Chart	$$\bar{c}$$	$$\bar{c} + 3\sqrt{\bar{c}}$$	$$\bar{c} - 3\sqrt{\bar{c}}$$
u Chart	$$\bar{u}$$	$$\bar{u} + 3\sqrt{\frac{\bar{u}}{n}}$$	$$\bar{u} - 3\sqrt{\frac{\bar{u}}{n}}$$

Table of Control Chart Constants:

Sample Size (n)	D3	D4	B3	B4	d2	A2
2	0	3.267	0	2.606	1.128	1.880
3	0	2.574	0	1.880	1.693	1.023
4	0	2.282	0.030	1.604	2.059	0.729
5	0	2.114	0.118	1.427	2.326	0.577
6	0.030	2.004	0.185	1.287	2.534	0.483
7	0.118	1.924	0.235	1.182	2.704	0.419
8	0.185	1.864	0.270	1.099	2.847	0.373
9	0.235	1.816	0.296	1.032	2.970	0.337
10	0.270	1.777	0.315	0.975	3.078	0.308
11	0.296	1.744	0.330	0.927	3.173	0.285
12	0.315	1.717	0.342	0.886	3.258	0.266
13	0.330	1.693	0.352	0.850	3.336	0.249
14	0.342	1.672	0.361	0.817	3.407	0.235
15	0.352	1.653	0.369	0.789	3.472	0.223
25	0.435	1.541	0.447	0.668	4.459	0.153
50	0.576	1.427	0.550	0.560	6.864	0.114
100	0.704	1.341	0.620	0.481	10.577	0.080

Posted on April 27, 2023 by Quality Gurus

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