Control Chart

Topics: Dopamine receptor, G protein coupled receptors, Arithmetic mean Pages: 14 (800 words) Published: December 1, 2012
Tables of Constants for Control charts
Table 8A - Variable Data

ref : AIAG manual for SPC

X bar and R Charts
Chart for
Averages
Control
Limits
Factor
Subgroup size
(n)
2
3
4
5
6
7
8
9
10
15
25

A2
1.880
1.023
0.729
0.577
0.483
0.419
0.373
0.337
0.308
0.223
0.153

Chart for
Averages Chart for Standard Deviation (s)
Chart for Ranges (R)
Divisors
Divisors
to
to
Control
Estimate Factors for Control
estimate Factors for Control
Limits
Factor
Limits
Limits
σx
σx

d2
1.128
1.693
2.059
2.326
2.534
2.704
2.847
2.970
3.078
3.472
3.931

D3
0.076
0.136
0.184
0.223
0.347
0.459

Centerline
X bar and R Charts

CL X = X
CLR = R

X bar and s Charts

X bar and s charts

CLX = X

CL s = s

Institute of Quality and Reliability
www.world-class-quality.com

D4
3.267
2.574
2.282
2.114
2.004
1.924
1.864
1.816
1.777
1.653
1.541

A3
2.659
1.954
1.628
1.427
1.287
1.182
1.099
1.032
0.975
0.789
0.606

c4
0.7979
0.8862
0.9213
0.9400
0.9515
0.9594
0.9650
0.9693
0.9727
0.9823
0.9896

B3
0.030
0.118
0.185
0.239
0.284
0.428
0.565

Control Limits
UCLX = X + A2 R

LCL

UCLR = D4 R

LCL R = D3 R

UCLX = X + A3 S

LCL X = X − A3 S

UCL s = B4 s

LCL s = B 3 s

Control Chart Factors

X

= X − A2 R

B4
3.267
2.568
2.266
2.089
1.970
1.882
1.815
1.761
1.716
1.572
1.435

σx
R
d2

s
c4

Page 1 of 3

Tables of Constants for Control charts
Table 8B Variable Data

ref : AIAG manual for SPC

Median Charts
Chart for
Medians

Charts for Individuals
Chart for
Individuals

Chart for Ranges (R)

Control Divisors to
Limits
Estimate Factors for Control
Factor
Limits
σx
Subgroup
size
2
3
4
5
6
7
8
9
10

~
A2
1.880
1.187
0.796
0.691
0.548
0.508
0.433
0.412
0.362

d2
1.128
1.693
2.059
2.326
2.534
2.704
2.847
2.970
3.078

D3
0.076
0.136
0.184
0.223

D4
3.267
2.574
2.282
2.114
2.004
1.924
1.864
1.816
1.777

Centerline
CL

Median Charts

~
X

~
=X

CLR = R

Charts for
Individuals

CL

X

=X

CLR = R

Institute of Quality and Reliability
www.world-class-quality.com

Control
Limits
Factor
E2
2.660
1.772
1.457
1.290
1.184
1.109
1.054
1.010
0.975

Chart for Moving Range (R)
Divisors
to
Estimate Factors for Control
σx
Limits
d2
1.128
1.693
2.059
2.326
2.534
2.704
2.847
2.970
3.078

D3
0.076
0.136
0.184
0.223

D4
3.267
2.574
2.282
2.114
2.004
1.924
1.864
1.816
1.777

Control Limits
UCL

~
X

~
~
= X + A2 R

UCLR = D4 R

UCL X = X + E 2 R

UCLR = D4 R
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