Tables of Constants for Control charts
3
ref : AIAG manual for SPC Chart for Averages Chart for Averages Control Limits Factor Divisors to Estimate σ x Control Limits Factor Divisors to estimate σ x Subgroup size (n) A 2 d 2 D 3 D 4 A 3 c 4 B 3 B 4 2 1.880 1.128 - 3.267 2.659 0.7979 - 3.267 3 1.023 1.693 - 2.574 1.954 0.8862 - 2.568 4 0.729 2.059 - 2.282 1.628 0.9213 - 2.266 5 0.577 2.326 - 2.114 1.427 0.9400 - 2.089 6 0.483 2.534 - 2.004 1.287 0.9515 0.030 1.970 7 0.419 2.704 0.076 1.924 1.182 0.9594 0.118 1.882 8 0.373 2.847 0.136 1.864 1.099 0.9650 0.185 1.815 9 0.337 2.970 0.184 1.816 1.032 0.9693 0.239 1.761 10 0.308 3.078 0.223 1.777 0.975 0.9727 0.284 1.716 15 0.223 3.472 0.347 1.653 0.789 0.9823 0.428 1.572 25 0.153 3.931 0.459 1.541 0.606 0.9896 0.565 1.435 Centerline Control Limits X bar and R Charts X bar and s Charts Tables of Constants for Control charts Factors for Control Limits X bar and R Charts X bar and s charts Chart for Ranges (R) Chart for Standard Deviation (s) Table 8A - Variable Data Factors for Control Limits X CL X = R CL R = X CL X = s CL s = R A X UCL X 2 + = R A X LCL X 2 − = R D UCL R 4 = R D LCL R 3 = S A X UCL X 3 + = S A X LCL X 3 − = s B LCL s 3 = s B UCL s 4 = x σ 2 d R 4 c s Institute of Quality and Reliability www.world-class-quality.com Control Chart Factors Page 1 of 3
-
Upload
trinhthien -
Category
Documents
-
view
216 -
download
2
Transcript of Tables of Constants for Control charts
ref : AIAG manual for SPC
Chart for
Averages
Chart for
Averages
Control
Limits
Factor
Divisors
to
Estimate
σσσσx
Control
Limits
Factor
Divisors
to
estimate
σσσσxSubgroup size
(n) A2 d2 D3 D4 A3 c4 B3 B4
2 1.880 1.128 - 3.267 2.659 0.7979 - 3.2673 1.023 1.693 - 2.574 1.954 0.8862 - 2.5684 0.729 2.059 - 2.282 1.628 0.9213 - 2.2665 0.577 2.326 - 2.114 1.427 0.9400 - 2.0896 0.483 2.534 - 2.004 1.287 0.9515 0.030 1.9707 0.419 2.704 0.076 1.924 1.182 0.9594 0.118 1.8828 0.373 2.847 0.136 1.864 1.099 0.9650 0.185 1.8159 0.337 2.970 0.184 1.816 1.032 0.9693 0.239 1.76110 0.308 3.078 0.223 1.777 0.975 0.9727 0.284 1.71615 0.223 3.472 0.347 1.653 0.789 0.9823 0.428 1.57225 0.153 3.931 0.459 1.541 0.606 0.9896 0.565 1.435
Centerline Control Limits
X bar and R Charts
X bar and s Charts
Tables of Constants for Control charts
Factors for Control
Limits
X bar and R Charts X bar and s charts
Chart for Ranges (R) Chart for Standard Deviation (s)
Table 8A - Variable Data
Factors for Control
Limits
XCLX =
RCLR =
XCLX
=
sCL s =
RAXUCLX 2+= RAXLCL
X 2−=
RDUCLR 4= RDLCLR 3=
SAXUCLX 3+= SAXLCL
X 3−=
sBLCL s 3=sBUCL s 4=
xσ
2d
R
4c
s
Institute of Quality and Reliabilitywww.world-class-quality.com Control Chart Factors Page 1 of 3
ref : AIAG manual for SPC
Chart for
Medians
Chart for
Individuals
Control
Limits
Factor
Divisors to
Estimate
σσσσx
Control
Limits
Factor
Divisors
to
Estimate
σσσσx
Subgroup
size d2 D3 D4 E2 d2 D3 D4
2 1.880 1.128 - 3.267 2.660 1.128 - 3.2673 1.187 1.693 - 2.574 1.772 1.693 - 2.5744 0.796 2.059 - 2.282 1.457 2.059 - 2.2825 0.691 2.326 - 2.114 1.290 2.326 - 2.1146 0.548 2.534 - 2.004 1.184 2.534 - 2.0047 0.508 2.704 0.076 1.924 1.109 2.704 0.076 1.9248 0.433 2.847 0.136 1.864 1.054 2.847 0.136 1.8649 0.412 2.970 0.184 1.816 1.010 2.970 0.184 1.81610 0.362 3.078 0.223 1.777 0.975 3.078 0.223 1.777
Charts for Individuals
Median Charts
Control LimitsCenterline
Tables of Constants for Control charts
Factors for Control
Limits
Factors for Control
Limits
Table 8B Variable Data
Chart for Ranges (R) Chart for Moving Range (R)
Median Charts Charts for Individuals
XCLX
~~ =
RCLR =
XCL X =
RAXUCLX 2~
~~+= RAXLCL
X 2~~
−=
RDUCLR 4= RDLCLR 3=
REXUCLX 2+= REXLCLX 2−=
RCLR = RDUCLR 4= RDLCLR 3=
2
~A
Institute of Quality and Reliabilitywww.world-class-quality.com Control Chart Factors Page 2 of 3
Table 8 C Attribute Data ref : AIAG manual for SPC
Centerline
np chart for number / rate of
units in a category
c chart for number of
incidences in one or more
categoriesSamples not necessarily of constant size
using average sample size
If the sample size is constant (n)
Tables of Formulas for Control charts
Control LimitsSamples not necessarily of constant size
u chart for number of
incidences per unit in one or
more categories
If the Sample size is constant (n)
p chart for proportions of
units in a category
pCL p =
pnCLnp =
cCLc =
uCLu =
i
pn
pppUCL
i
)1(3
−+=
i
pn
pppLCL
i
)1(3
−−=
n
pppLCL p
)1(3
−−=
n
pppUCL p
)1(3
−+=
ccUCLc 3+= ccLCLc 3−=
i
un
uuUCL 3+=
i
un
uuLCL 3−=
n
uuUCLu 3+=
n
uuUCLu 3−=
n
uuUCLu 3+=
n
uuUCLu 3−=
)1(3 ppnpnUCLnp −+= )1(3 ppnpnLCLnp −−=
Institute of Quality and Reliabilitywww.world-class-quality.com Control Chart Factors Page 3 of 3
![A Astrophysical Constants and Symbols - Springer978-3-540-49912-1/1.pdf · A Astrophysical Constants and Symbols Physical Constants Quantity Symbol Value [SI] Speed of light c 299](https://static.fdocument.org/doc/165x107/5e445c77bb3eb826971c77c0/a-astrophysical-constants-and-symbols-springer-978-3-540-49912-11pdf-a-astrophysical.jpg)
![[Steven R. Finch] Mathematical Constants(BookFi.org)](https://static.fdocument.org/doc/165x107/55cf9828550346d03395f096/steven-r-finch-mathematical-constantsbookfiorg.jpg)
![Data Validation Charts for Aerosol Sulfate Definitions: Sulfate: SO4fVal = [SO 4 ]](https://static.fdocument.org/doc/165x107/5681474d550346895db491ae/data-validation-charts-for-aerosol-sulfate-definitions-sulfate-so4fval-.jpg)
