Process Control: Copper - Analyse-it · 2016. 2. 2. · v4.60 Last updated 2 February 2016 at 7:55...

v4.60

Last updated 2 February 2016 at 7:49 by Analyse-it Software, Ltd.

Control

Out-of-control signals

Phase Date Statistic Value Broken ruleIQ 03/01 R 3.08 1IQ 11/01 Xbar 9.87 1IQ 13/01 Xbar 9.65 1IQ 17/01 Xbar 8.13 3IQ 18/01 Xbar 8.19 2IQ 19/01 Xbar 8.26 3IQ 20/01 Xbar 8.06 2

Process Control: Copper

Copper concentration in plating pool

Montgomery rules: 1, 2, 3, 5, 8 applied to Xbar statistic.

1: 1 point is outside the control limits.

2: 2 out of 3 consecutive points are more than 2 sigma from the center line in the same direction.

3: 4 out of 5 consecutive points are more than 1 sigma from the center line in the same direction.

Operator

GMH

JAG

JDH

RWJ

SNH

IQ OQ Production

X̿

+3σ

-3σ

Nozzle broken, 1

Wrong reagent, 1

3 2 3

2

7.8

8.2

8.6

9

9.4

9.8

Date

Co

pp

er (

pp

m)

Xb

ar

IQ OQ Production

R̅

+3σ

-3σ

Operator?, 1

0

0.5

1

1.5

2

2.5

3

3.5

Date

Co

pp

er (

pp

m)

R

http://analyse-it.com/

v4.60




Process parameters

Copper (ppm) by Phase Mean SigmaIQ 8.712 0.586

OQ 8.660 0.399Production 8.660 0.399

Process control statistics

Statistic Phase Sample size Centre ±3-sigma limitsXbar IQ 6 8.712 7.994 to 9.429Xbar OQ 6 8.660 8.171 to 9.148Xbar Production 6 8.660 8.171 to 9.149

R IQ 6 1.484 0.000 to 2.974R OQ 6 1.011 0.000 to 2.025R Production 6 1.011 0.000 to 2.026

1 Mean known.2 Sigma known.3 Sigma estimated by Rbar.

3

3

1 2


v4.60


Control


Phase Date Statistic Value Broken ruleOQ 23/01 EWMA 8.78 1

Process parameters

Copper (ppm) by Phase Mean SigmaOQ 8.660 0.338

Production 8.660 0.399

3 Sigma estimated by Rbar.




1 Mean known.2 Sigma known.

OQ Production

X̿

+3σ

-3σ

1

21/0122/0123/0124/0125/0126/0127/0128/0129/0130/0131/0101/0202/0203/0204/0205/0206/0207/0208/0209/02

8.5

8.55

8.6

8.65

8.7

8.75

8.8

Date

Co

pp

er (

pp

m)

EWM

A [

0.2

]

OQ Production

R̅

+3σ

-3σ

21/0122/0123/0124/0125/0126/0127/0128/0129/0130/0131/0101/0202/0203/0204/0205/0206/0207/0208/0209/02

0

0.4

0.8

1.2

1.6

2

Date

Co

pp

er (

pp

m)

R

3

1 2


v4.60





Statistic Phase Sample size Centre ±3-sigma limitsR OQ 6 1.011 0.000 to 2.025R Production 6 1.011 0.000 to 2.026

Statistic L WeightEWMA 3 0.2


v4.60


Control

Process parameters

Copper (ppm) by Phase Mean SigmaOQ 8.660 0.338

Production 8.660 0.399



1 Mean known.2 Sigma known.3 Sigma estimated by Rbar.

OQ Production

h=5

h=5

21/01 22/01 23/01 24/01 25/01 26/01 27/01 28/01 29/01 30/01 31/01 01/02 02/02 03/02 04/02 05/02 06/02 07/02 08/02 09/02

-1

-0.6

-0.2

0.2

0.6

1

Date

Co

pp

er (

pp

m)

CU

SUM

[0

.5]

OQ Production

R̅

+3σ

-3σ

21/01 22/01 23/01 24/01 25/01 26/01 27/01 28/01 29/01 30/01 31/01 01/02 02/02 03/02 04/02 05/02 06/02 07/02 08/02 09/02

0

0.4

0.8

1.2

1.6

2

Date

Co

pp

er (

pp

m)

R

3

1 2


v4.60





Statistic Phase Sample size Centre ±3-sigma limitsR OQ 6 1.011 0.000 to 2.025R Production 6 1.011 0.000 to 2.026

Statistic h kCUSUM 5 0.5


v4.60


Control


Phase Observation Statistic Value Broken ruleII 39 Moving range 28 1II 39 Individual 333 1II 40 Individual 328 1

Process parameters

Cost by Phase Mean SigmaI 300.5 6.9

II 300.5 6.9

Process Control: Cost

Loan processing costs (from Montgomery page 268)


1 Mean known.2 Sigma known.

I II

X̅

+3σ

-3σ

1

1

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39

275

285

295

305

315

325

335

Observation

Co

st

Ind

ivid

ual

I II

M͞R

+3σ

-3σ

1

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39

0

5

10

15

20

25

30

Observation

Co

st

Mo

vin

g ra

nge

[2

]

1 2

1 2


v4.60


Process Control: Cost

Loan processing costs (from Montgomery page 268)


Statistic Phase Sample size Centre ±3-sigma limitsIndividual I 1 300.5 279.8 to 321.2Individual II 1 300.5 279.8 to 321.2

Moving range I 2 7.8 0.0 to 25.4Moving range II 2 7.8 0.0 to 25.4


v4.60


Control

Process parameters

MeanErrors 0.0740


Statistic Sample size Centre ±3-sigma limitsu 50 0.0740 0.0000 to 0.1894

Process Control: Errors

Supply chain operations (from Montgomery page 325)

u̅

+3σ

-3σ

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

-0.02

0.02

0.06

0.1

0.14

0.18

Sample

Erro

rs

u


v4.60


Control


Sample Statistic Value Broken rule11 p 0.182 1

Process parameters

ProportionNonconforming Units 0.0955


Statistic Sample size Centre ±3-sigma limitsp 80 0.0955 0.0000 to 0.1941p 90 0.0955 0.0026 to 0.1885p 100 0.0955 0.0073 to 0.1837p 110 0.0955 0.0114 to 0.1796p 120 0.0955 0.0150 to 0.1760

Process Control: Nonconforming Units

Purchase order data (from Montgomery page 311)


p̅

+3σ

-3σ

1

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

-0.02

0.02

0.06

0.1

0.14

0.18

Sample

No

nco

nfo

rmin

g U

nit

s p


v4.60


Control


Sample Statistic Value Broken rule11 Z-score 3.080 1

Process parameters

ProportionNonconforming Units 0.0955


Statistic Sample size Centre ±3-sigma limitsZ-score - 0.0000 -3.0000 to 3.0000

Process Control: Nonconforming Units

Purchase order data (from Montgomery page 311)


0

+3σ

-3σ

1

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

-4

-3

-2

-1

0

1

2

3

4

Sample

No

nco

nfo

rmin

g U

nit

s Z-

sco

re


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Process Control: Copper - Analyse-it · 2016. 2. 2. · v4.60 Last updated 2 February 2016 at 7:55...

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