L12_Nominal_Taguchi_1.xls

7/29/2019 L12_Nominal_Taguchi_1.xls

1/37

Duration

start date 27-Sep-06

Date today26-Mar-13

L12 :- upto 11 control factors with 2-Levels eachpassword info for P. R. Apte: L12**** ==>

This Excel Sheet is created by Dr. P. R. Apte, IIT Bombay, Powai, Mumb

e-mail: [email protected] , web-page : http://www.ee.iitb.ac.in

Last Modified on 2-Mar-2007

Title of the problem

Write an Introduction to the problem

Team members

Optimization of the painting pro

(1) Water vapor permeability to

(2) Particle size / thickness to

(3) Scrub resistance to be max


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YOU MAY OVER-WRITE ON

THE 'orange' TEXT

IN ALL THE SHEETS

ai-400 076, India

/~apte

cess

be smaller

e nominal

imized


3/37

USERNAME

START DATE

27-Dec-2005 TYPE

THE DATE HERE

STEP 1: Identify Main Function, failure mode and side effects

STEP 2: Identify Noise factors, testing conditions (to capture the

effects of noise)

STEP 3: Identify Quality Characteristics and Objective Function

STEP 4: Identify Control Factors and their Levels

STEP 5: Identify Orthogonal Array (degrees of freedom for error)

Last Modified on 15-Feb-2007

This Excel Sheet is created by Dr. P. R. Apte, IIT Bombay, Powai, Mumbai-400

e-mail: [email protected] , web-page : http://www.ee.iitb.ac.in/~apte

Reference : "Quality Engineering using Robust Design" by

M.S. Phadke, Prentice Hall 1989, Chapter 4

Control Factors are (1) agitator r

etc

Their levels are taken as far apa

Painting Process

Various processes - of mixing, a

NoIsY parameters

The objective of the Taguchi ex

(1) keep thickness nominal, (2) i

"Water vapor permeability".

L12 array is chosen

upto 11 control factors with 2

Interaction among the control

However, interactions can not


4/37

TODAY

26-Mar-13

076, India

pm, (2) type of agitator and (3) type of buffer etc

rt as possible

pplying and drying the paint - have a lot many

erimentation is to

ncrease "Scrub resistance" and (3) reduce the

levels each are allowed.

factors is evenly distributed,

be studied,


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TESTS Smaller-the-better Nominal-the-Best Larger-the-Better Mean

Thickness YES

Type YES or NOType Quality

Characteristic

name/identifier


6/37

Repetitions in each row of expt

(due to NoIsE Factor

combinations)

no. of times the

"confirmation experiment"

is repeated

9 5

Type the number of

times the 'BEST"

experiment (with 'best'

CF levels) is repeated

You may overtype the

number of measurements for

each experiment.

(due to NoIsE Factor

combinations)


7/37

CONTROL FACTORS AND THEIR LEVELS

Control Factor

name

Level 1

name

Level 2

name

Agitator-rpm A1 A2

B B1 B2

C C1 C2D D1 D2

E E1 E2

F F1 F2

Granules G1 G2

H H1 H2

- - -

J J1 J2

K K1 K2

"empty", "-" are reserved

for indicatiing 'blank' columns

NoIsE FACTORS \ LEVELS

NoIsE Level 1 NoIsE Level 2

U NoIsE FACTOR 1 U1 U2

V NoIsE FACTOR 2 V1 V2

W NoIsE FACTOR 3 W1 W2

X NoIsE FACTOR 4 X1 X2

Go to a cell, delete contents (using 'delete' key) and

Control Factor names (necessary) & Level names (o


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Fill in the factor names and level names

NoIsE Level 3NUMBER OF

LEVELS

U3 3 Type 2 or 3V3 3

OKAY

WHICH OUTER-

ARRAY IS

REQUIRED = L9

rite the

tional)


9/37

A B C D E F G H I J K

1 1 1 1 1 1 1 1 1 1 1 12 1 1 1 1 1 2 2 2 2 2 2

3 1 1 2 2 2 1 1 1 2 2 2

4 1 2 1 2 2 1 2 2 1 1 2

5 1 2 2 1 2 2 1 2 1 2 1

6 1 2 2 2 1 2 2 1 2 1 1

7 2 1 2 2 1 1 2 2 1 2 1

8 2 1 2 1 2 2 2 1 1 1 2

9 2 1 1 2 2 2 1 2 2 1 1

10 2 2 2 1 1 1 1 2 2 1 2

11 2 2 1 2 1 2 1 1 1 2 2

12 2 2 1 1 2 1 2 1 2 2 1

12

6

L12 Array

Total number of expts =

REPETITIONS FOR EACH LEVEL =

Expt

No.

Control Factors


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L9 Array is always the

same

and

Hence no need to

change this - EVER


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Experimenter's Log

NUMBER OF

MEASUREMENTS9

Agitator-

rpm

B C D E F Granules H - J

1 A1 B1 C1 D1 E1 F1 G1 H1 - J1

2 A1 B1 C1 D1 E1 F2 G2 H2 - J2

3 A1 B1 C2 D2 E2 F1 G1 H1 - J2

4 A1 B2 C1 D2 E2 F1 G2 H2 - J1

5 A1 B2 C2 D1 E2 F2 G1 H2 - J2

6 A1 B2 C2 D2 E1 F2 G2 H1 - J1

7 A2 B1 C2 D2 E1 F1 G2 H2 - J2

8 A2 B1 C2 D1 E2 F2 G2 H1 - J1

9 A2 B1 C1 D2 E2 F2 G1 H2 - J1

10 A2 B2 C2 D1 E1 F1 G1 H2 - J111 A2 B2 C1 D2 E1 F2 G1 H1 - J2

12 A2 B2 C1 D1 E2 F1 G2 H1 - J2

6

CHOSEN

FACTORIAL OR

ORTHOGONAL

ARRAY L9 L9

Expt. No.

Repetition number for each level =

No need to feed anything h

All 'text' is linked to entries in the shee

Factors & Levels"

CONTROL FACTOR ASSIGNEMNT TO 11 COLUMNS


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F2

F3

F4

F6

F8

F12

F16

L4

L8


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L9


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CHOSEN FACTORIAL

OR ORTHOGONAL

ARRAY==>L9

REPETITIONS

NoIsE FACTOR names

1 2 3 4 5 6 7 8 9

U NoIsE FACTOR 1 U1 U1 U1 U2 U2 U2 U3 U3 U3

V NoIsE FACTOR 2 V1 V2 V3 V1 V2 V3 V1 V2 V3

K

K1 8.90E-01 8.90E-01 8.90E-01 8.91E-01 8.91E-01 8.91E-01 8.91E-01 8.91E-01 8.92E-01

K2 4.00E-01 4.01E-01 4.01E-01 4.02E-01 4.02E-01 4.03E-01 4.03E-01 4.04E-01 4.04E-01

K2 8.90E-01 8.95E-01 9.00E-01 9.05E-01 9.10E-01 9.15E-01 9.20E-01 9.25E-01 9.30E-01

K2 5.00E-01 5.01E-01 5.02E-01 5.03E-01 5.04E-01 5.05E-01 5.06E-01 5.07E-01 5.08E-01

K1 9.10E-01 9.15E-01 8.70E-01 8.75E-01 8.80E-01 8.85E-01 8.90E-01 8.95E-01 9.00E-01

K1 5.00E-01 5.01E-01 5.01E-01 5.02E-01 5.02E-01 5.03E-01 5.03E-01 5.04E-01 5.04E-01

K1 8.50E-01 8.51E-01 8.51E-01 8.52E-01 8.52E-01 8.53E-01 8.53E-01 8.54E-01 8.54E-01

K2 3.00E-01 3.05E-01 3.10E-01 3.15E-01 3.20E-01 3.25E-01 3.30E-01 3.35E-01 3.40E-01

K1 8.50E-01 8.55E-01 8.60E-01 8.65E-01 8.70E-01 8.75E-01 8.80E-01 8.85E-01 8.90E-01

K2 4.50E-01 4.51E-01 4.51E-01 4.52E-01 4.52E-01 4.53E-01 4.53E-01 4.54E-01 4.54E-01K2 8.75E-01 8.75E-01 8.75E-01 8.76E-01 8.76E-01 8.76E-01 8.76E-01 8.76E-01 8.77E-01

K1 8.70E-01 8.75E-01 8.80E-01 8.85E-01 8.90E-01 8.95E-01 9.00E-01 9.05E-01 9.10E-01

meas

# 6

re.

"Control-NoIsE

NoIsE Factor combinations used as repetitions for each (ro

L4 / F4 F6 F8 / L8 L9

F16 F16

meas

# 7

meas

# 8

meas

# 9

meas

# 1

meas

# 2

meas

# 3

meas

# 4

meas

# 5


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EXPT NO. 1 2 3 4 5 6 7 8 9

A 1 2

B

C

D

EXPT NO. 1 2 3 4 5 6 7 8 9

A 1 2 3

B

C

D

EXPT NO. 1 2 3 4 5 6 7 8 9

A 1 1 2 2

B 1 2 1 2

C

D

EXPT NO. 1 2 3 4 5 6 7 8 9

A 1 1 1 2 2 2

B 1 2 3 1 2 3

C

D

EXPT NO. 1 2 3 4 5 6 7 8 9

A 1 1 1 1 2 2 2 2

B 1 1 2 2 1 1 2 2

C 1 2 1 2 1 2 1 2

D

EXPT NO. 1 2 3 4 5 6 7 8 9

A 1 1 1 1 1 1 2 2 2

B 1 1 1 2 2 2 1 1 1

C 1 2 3 1 2 3 1 2 3

D

EXPT NO. 1 2 3 4 5 6 7 8 9

A 1 1 1 1 1 1 1 1 2

B 1 1 1 1 2 2 2 2 1

C 1 1 2 2 1 1 2 2 1

D 1 2 1 2 1 2 1 2 1

EXPT NO. 1 2 3 4 5 6 7 8 9A 1 1 2 2

B 1 2 1 2

C 1 2 2 1

D

EXPT NO. 1 2 3 4 5 6 7 8 9

A 1 1 1 1 2 2 2 2

B 1 1 2 2 1 1 2 2


16/37

C 1 2 1 2 1 2 1 2

D 1 2 1 2 2 1 2 1

EXPT NO. 1 2 3 4 5 6 7 8 9

A 1 1 1 2 2 2 3 3 3

B 1 2 3 1 2 3 1 2 3

C 1 2 3 2 3 1 3 1 2D 1 2 3 3 1 2 2 3 1


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of) experiment

L12


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10 11 12 13 14 15 16

10 11 12 13 14 15 16

10 11 12 13 14 15 16

10 11 12 13 14 15 16

10 11 12 13 14 15 16

10 11 12 13 14 15 16

2 2 2

2 2 2

1 2 3

10 11 12 13 14 15 16

2 2 2 2 2 2 2

1 1 1 2 2 2 2

1 2 2 1 1 2 2

2 1 2 1 2 1 2

10 11 12 13 14 15 16

10 11 12 13 14 15 16


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10 11 12 13 14 15 16


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Expt No. 1 2 3 4 5 6 7 8 9 10

epet t ons or

each expt

1 8.9E-01 4.0E-01 8.9E-01 5.0E-01 8.6E-01 5.0E-01 8.5E-01 3.0E-01 8.5E-01 4.5E-012 8.9E-01 4.0E-01 9.0E-01 5.0E-01 8.7E-01 5.0E-01 8.5E-01 3.1E-01 8.6E-01 4.5E-01

3 8.9E-01 4.0E-01 9.0E-01 5.0E-01 8.7E-01 5.0E-01 8.5E-01 3.1E-01 8.6E-01 4.5E-014 8.9E-01 4.0E-01 9.1E-01 5.0E-01 8.8E-01 5.0E-01 8.5E-01 3.2E-01 8.7E-01 4.5E-015 8.9E-01 4.0E-01 9.1E-01 5.0E-01 8.8E-01 5.0E-01 8.5E-01 3.2E-01 8.7E-01 4.5E-016 8.9E-01 4.0E-01 9.2E-01 5.1E-01 8.9E-01 5.0E-01 8.5E-01 3.3E-01 8.8E-01 4.5E-017 8.9E-01 4.0E-01 9.2E-01 5.1E-01 8.9E-01 5.0E-01 8.5E-01 3.3E-01 8.8E-01 4.5E-018 8.9E-01 4.0E-01 9.3E-01 5.1E-01 9.0E-01 5.0E-01 8.5E-01 3.4E-01 8.9E-01 4.5E-019 8.9E-01 4.0E-01 9.3E-01 5.1E-01 9.0E-01 5.0E-01 8.5E-01 3.4E-01 8.9E-01 4.5E-0110 8.9E-01 4.0E-01 9.4E-01 5.1E-01 9.1E-01 5.0E-01 8.5E-01 3.5E-01 9.0E-01 4.5E-0111 8.9E-01 4.1E-01 9.4E-01 5.1E-01 9.1E-01 5.0E-01 8.6E-01 3.5E-01 9.0E-01 4.6E-0112 8.9E-01 4.1E-01 9.5E-01 5.1E-01 9.2E-01 5.1E-01 8.6E-01 3.6E-01 9.1E-01 4.6E-01131415

16

2 NF with

2-levels each =

3 NF with

2-levels each =

1 NF with 2-levels

1 NF with 3-levels=

2-4 NF with

3-levels each =

How to use NoIsE Factors for

generating

repetitions for each expt

You can have upt

measurements per


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11 12

8.8E-01 8.7E-01

8.8E-01 8.8E-01

8.8E-01 8.8E-018.8E-01 8.9E-01

8.8E-01 8.9E-01

8.8E-01 9.0E-01

8.8E-01 9.0E-01

8.8E-01 9.1E-01

8.8E-01 9.1E-01

8.8E-01 9.2E-01

8.8E-01 9.2E-01

8.8E-01 9.3E-01

meas.

4

4

6

9

Blanks will not affect the

results of mean, Variance and

SN Ratio

Feed the data in these

rows and columns

You can have upto 16

measurements per expt

factorial

L4 Orthogonal

Array

factorial

L9 Orthogonal

Array

16

expt


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Expt No. 1 2 3 4 5 6 7

epet t ons or

each expt

1 8.90E-01 4.00E-01 8.90E-01 5.00E-01 9.10E-01 5.00E-01 8.50E-01

2 8.90E-01 4.01E-01 8.95E-01 5.01E-01 9.15E-01 5.01E-01 8.51E-013 8.90E-01 4.01E-01 9.00E-01 5.02E-01 8.70E-01 5.01E-01 8.51E-01

4 8.91E-01 4.02E-01 9.05E-01 5.03E-01 8.75E-01 5.02E-01 8.52E-01

5 8.91E-01 4.02E-01 9.10E-01 5.04E-01 8.80E-01 5.02E-01 8.52E-01

6 8.91E-01 4.03E-01 9.15E-01 5.05E-01 8.85E-01 5.03E-01 8.53E-01

7 8.91E-01 4.03E-01 9.20E-01 5.06E-01 8.90E-01 5.03E-01 8.53E-01

8 8.91E-01 4.04E-01 9.25E-01 5.07E-01 8.95E-01 5.04E-01 8.54E-01

9 8.92E-01 4.04E-01 9.30E-01 5.08E-01 9.00E-01 5.04E-01 8.54E-01

10

11

1213

14

15

16

Mean 8.9E-01 4.0E-01 9.1E-01 5.0E-01 8.9E-01 5.0E-01 8.5E-01

VARIANCE 3.0E-07 1.9E-06 1.9E-04 7.5E-06 2.4E-04 1.9E-06 1.9E-06

S/N Ratio of Qual

Char64.22 49.35 36.45 45.30 35.27 51.28 55.88

S/N Ratio of Mean -1.00 -7.92 -0.82 -5.95 -1.00 -5.99 -1.39


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8 9 10 11 12

3.00E-01 8.50E-01 4.50E-01 8.75E-01 8.70E-01

3.05E-01 8.55E-01 4.51E-01 8.75E-01 8.75E-013.10E-01 8.60E-01 4.51E-01 8.75E-01 8.80E-01

3.15E-01 8.65E-01 4.52E-01 8.76E-01 8.85E-01

3.20E-01 8.70E-01 4.52E-01 8.76E-01 8.90E-01

3.25E-01 8.75E-01 4.53E-01 8.76E-01 8.95E-01

3.30E-01 8.80E-01 4.53E-01 8.76E-01 9.00E-01

3.35E-01 8.85E-01 4.54E-01 8.76E-01 9.05E-01

3.40E-01 8.90E-01 4.54E-01 8.77E-01 9.10E-01

3.2E-01 8.7E-01 4.5E-01 8.8E-01 8.9E-01

1.9E-04 1.9E-04 1.9E-06 3.0E-07 1.9E-04

27.37 36.06 50.37 64.08 36.26

-9.90 -1.21 -6.90 -1.15 -1.01

data has been 'linked' from

the sheet:"Input measureddata" in these rows and

columns


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Main Effects

S/N Ratio of

Qual Char

Expt. No. A1 A2 B1 B2 C1 C2 D1 D21 64.22 64.22 64.22 64.22 64.22

2 49.35 49.35 49.35 49.35 49.35

3 36.45 36.45 36.45 36.45 36.45

4 45.30 45.30 45.30 45.30 45.30

5 35.27 35.27 35.27 35.27 35.27

6 51.28 51.28 51.28 51.28 51.28

7 55.88 55.88 55.88 55.88 55.88

8 27.37 27.37 27.37 27.37 27.37

9 36.06 36.06 36.06 36.06 36.06

10 50.37 50.37 50.37 50.37 50.37

11 64.08 64.08 64.08 64.08 64.08

12 36.26 36.26 36.26 36.26 36.26

Sum 281.88 270.02 269.34 282.56 295.27 256.63 262.85 289.05Factor Effects 46.98 45.00 44.89 47.09 49.21 42.77 43.81 48.17

ov mean 45.99 check= 45.99 check= 45.99 check= 45.99 check= 45.99

SUM OF SQ

DUE TO MEAN 25382.69

GRAND TOTAL

SUM OF SQ 26945.02

Total sum of

squares = 1562.33

Agitator-rpm B C D


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E1 E2 F1 F2 G1 G2 H1 H2 - - J1 J2 K1

64.22 64.22 64.22 64.22 64.22 64.22 64.22

49.35 49.35 49.35 49.35 49.35 49.35

36.45 36.45 36.45 36.45 36.45 36.45

45.30 45.30 45.30 45.30 45.30 45.30

35.27 35.27 35.27 35.27 35.27 35.27 35.27

51.28 51.28 51.28 51.28 51.28 51.28 51.28

55.88 55.88 55.88 55.88 55.88 55.88 55.88

27.37 27.37 27.37 27.37 27.37 27.37

36.06 36.06 36.06 36.06 36.06 36.06 36.06

50.37 50.37 50.37 50.37 50.37 50.37

64.08 64.08 64.08 64.08 64.08 64.08

36.26 36.26 36.26 36.26 36.26 36.26 36.26

335.19 216.71 288.48 263.42 286.45 265.45 279.67 272.23 292.12 259.78 274.61 277.29 278.9755.87 36.12 48.08 43.90 47.74 44.24 46.61 45.37 48.69 43.30 45.77 46.21 46.50

check= 45.99 check= 45.99 check= 45.99 check= 45.99 check= 45.99 check= 45.99 check=

E F Granules H - J


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K2

49.35

36.45

45.30

27.37

50.37

64.08

272.9345.49

45.99


27/37

Main EffectsS/N Ratio of

Mean

Expt. No. A1 A2 B1 B2 C1 C2 D1 D21 -1.00 -1.00 -1.00 -1.00 -1.00

2 -7.92 -7.92 -7.92 -7.92 -7.92

3 -0.82 -0.82 -0.82 -0.82 -0.82

4 -5.95 -5.95 -5.95 -5.95 -5.95

5 -1.00 -1.00 -1.00 -1.00 -1.00

6 -5.99 -5.99 -5.99 -5.99 -5.99

7 -1.39 -1.39 -1.39 -1.39 -1.39

8 -9.90 -9.90 -9.90 -9.90 -9.90

9 -1.21 -1.21 -1.21 -1.21 -1.21

10 -6.90 -6.90 -6.90 -6.90 -6.90

11 -1.15 -1.15 -1.15 -1.15 -1.15

12 -1.01 -1.01 -1.01 -1.01 -1.01

Sum -22.68 -21.56 -22.24 -22.00 -18.24 -25.99 -27.73 -16.51Factor Effects -3.78 -3.59 -3.71 -3.67 -3.04 -4.33 -4.62 -2.75

ov mean -3.69 check= -3.69 check= -3.69 check= -3.69 check= -3.69

SUM OF SQ

DUE TO MEAN 163.08

GRAND TOTAL

SUM OF SQ 287.86

Total sum of

squares = 124.79

Agitator-rpm B C D


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E1 E2 F1 F2 G1 G2 H1 H2 - - J1 J2 K1

-1.00 -1.00 -1.00 -1.00 -1.00 -1.00 -1.00

-7.92 -7.92 -7.92 -7.92 -7.92 -7.92

-0.82 -0.82 -0.82 -0.82 -0.82 -0.82

-5.95 -5.95 -5.95 -5.95 -5.95 -5.95

-1.00 -1.00 -1.00 -1.00 -1.00 -1.00 -1.00

-5.99 -5.99 -5.99 -5.99 -5.99 -5.99 -5.99

-1.39 -1.39 -1.39 -1.39 -1.39 -1.39 -1.39

-9.90 -9.90 -9.90 -9.90 -9.90 -9.90

-1.21 -1.21 -1.21 -1.21 -1.21 -1.21 -1.21

-6.90 -6.90 -6.90 -6.90 -6.90 -6.90

-1.15 -1.15 -1.15 -1.15 -1.15 -1.15

-1.01 -1.01 -1.01 -1.01 -1.01 -1.01 -1.01

-24.35 -19.89 -17.08 -27.16 -12.08 -32.15 -19.87 -24.37 -20.40 -23.84 -30.95 -13.29 -11.60-4.06 -3.32 -2.85 -4.53 -2.01 -5.36 -3.31 -4.06 -3.40 -3.97 -5.16 -2.22 -1.93

check= -3.69 check= -3.69 check= -3.69 check= -3.69 check= -3.69 check= -3.69 check=

- JE F Granules H


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K2

-7.92

-0.82

-5.95

-9.90

-6.90

-1.15

-32.63-5.44

-3.69


30/37

Ov Mean 45.99 -3.69

45.99 -3.69

A1 46.97987 -3.78 45.99 -3.69

A2 45.00326 -3.59 45.99 -3.69

45.99 -3.69

B1 44.89031 -3.71 45.99 -3.69

B2 47.09283 -3.67 45.99 -3.6945.99 -3.69

C1 49.21199 -3.04 45.99 -3.69

C2 42.77115 -4.33 45.99 -3.69

45.99 -3.69

D1 43.80832 -4.62 45.99 -3.69

D2 48.17482 -2.75 45.99 -3.69

45.99 -3.69

E1 55.86523 -4.06 45.99 -3.69

E2 36.11791 -3.32 45.99 -3.69

45.99 -3.69

F1 48.08042 -2.85 45.99 -3.69

F2 43.90271 -4.53 45.99 -3.6945.99 -3.69

G1 47.74212 -2.01 45.99 -3.69

G2 44.24102 -5.36 45.99 -3.69

45.99 -3.69

H1 46.61115 -3.31 45.99 -3.69

H2 45.37198 -4.06 45.99 -3.69

45.99 -3.69

- 48.68642 -3.40 45.99 -3.69

- 43.29672 -3.97 45.99 -3.69

45.99 -3.69

J1 45.76876 -5.16 45.99 -3.69

J2 46.21437 -2.22 45.99 -3.69

45.99 -3.69

K1 46.49548 -1.93 45.99 -3.69

K2 45.48766 -5.44 45.99 -3.69

45.99 -3.69

ov mean

YOU CAN MPARTICUL

0

10

20

30

40

50

60

70

Ov

Mean

A1

A2

B1

B2

C1

C2

D1

D2

E1

E2

F1

F2

G1

G2

H1

H2 - -

J1

J2

K1

S/NRatio(smaller-the-better)(dB)

Control Factors and Their Levels

Main Factor Effects for Quality Cha

S/N Ratio for Quality Char S/N Ratio S/N Ratio f


31/37

DIFY THE CHART -ARLY THE Y-AXIS

S/N Ratio

Mean

-6

-5

-4

-3

-2

-1

0

ovmean

S/NR

atioforMeanindB

r Name

or Mean Mean


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Ov Mean 45.99 -3.69

45.99 -3.69

A1 46.97987 -3.78 45.99 -3.69

A2 45.00326 -3.59 45.99 -3.69

45.99 -3.69

B1 44.89031 -3.71 45.99 -3.69

B2 47.09283 -3.67 45.99 -3.6945.99 -3.69

C1 49.21199 -3.04 45.99 -3.69

C2 42.77115 -4.33 45.99 -3.69

45.99 -3.69

D1 43.80832 -4.62 45.99 -3.69

D2 48.17482 -2.75 45.99 -3.69

45.99 -3.69

E1 55.86523 -4.06 45.99 -3.69

E2 36.11791 -3.32 45.99 -3.69

45.99 -3.69

F1 48.08042 -2.85 45.99 -3.69

F2 43.90271 -4.53 45.99 -3.6945.99 -3.69

G1 47.74212 -2.01 45.99 -3.69

G2 44.24102 -5.36 45.99 -3.69

45.99 -3.69

H1 46.61115 -3.31 45.99 -3.69

H2 45.37198 -4.06 45.99 -3.69

45.99 -3.69

- 48.68642 -3.40 45.99 -3.69

- 43.29672 -3.97 45.99 -3.69

45.99 -3.69

J1 45.76876 -5.16 45.99 -3.69

J2 46.21437 -2.22 45.99 -3.69

45.99 -3.69

K1 46.49548 -1.93 45.99 -3.69

K2 45.48766 -5.44 45.99 -3.69

45.99 -3.69

ov mean

YOU CAN MPARTICUL

0

10

20

30

40

50

60

70

Ov

Mean A1A2 B1B2 C1C2 D1D2 E1E2 F1F2 G1G2 H1H2 - - J1J2 K1

S/NRatio(smaller-the-better)(dB)

Control Factors and Their Levels

Main Factor Effects

S/N Ratio S/N Ratio Mean


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DIFY THE CHART -ARLY THE Y-AXIS

S/N Ratio

Mean

-6

-5

-4

-3

-2

-1

0

K2

ovmean

S/NRatioforMeanindB

Mean


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Control Factors and Levels 1 2 Degreesof

Freedom

Sum of

Squares

Mean

Square

Agitator-rpm 46.98 45.00 1 12 12

B 44.89 47.09 1 15 15

C 49.21 42.77 1 124 124

D 43.81 48.17 1 57 57

E 55.87 36.12 1 1170 1170

F 48.08 43.90 1 52 52

Granules 47.74 44.24 1 37 37

H 46.61 45.37 1 5 5

- 48.69 43.30 0 0 0

J 45.77 46.21 1 1 1

K 46.50 45.49 1 3 3

10

Ov-Mean 45.99 45.99

Total sum of Squares due to Factor Effects 1475 1475

Total sum of Squares = grand Total -12*mean sq 1562

Error Variance (unpooled) 1 87

Error Variance (unpooled) per degree of freedom 87.15

(Error Variance pooled)) 7 158

Error Variance per degree of freedom 22.63

3.88

21.50

9.27

OV-MEAN 3.18 3.18 3.18

95% confidence interval for pred. err = +-2*sqrt(pred err) =

LEVELS

Prediction error variance (for 5 to 6 repititions) = sum of sq for error /neff=

Error Bar for each Level of CF = 2*SQRT(error var. per DF / repetition of each level) =


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Factor

Effect

(percent)

F before

pooling

empty empty or

pooled

F=


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L12

ASSIGNMENT

Control

Factor

Names

Level 1 Level 2

SELECT

LEVELLevelNam

e

Column 1 Agitator-rpm A1 A2 - -

Column 2 B B1 B2 - -

Column 3 C C1 C2 1 C1

Column 4 D D1 D2 1 D1

Column 5 E E1 E2 1 E1

Column 6 F F1 F2 1 F1

Column 7 Granules G1 G2 - -

Column 8 H H1 H2 - -

Column 9 - - - - -

Column 10 J J1 J2 - -

Column 11 K K1 K2 - -

59.0

68.27 49.72

Type 'NEW' levels

as 1,2

See the 'RESULTS'

here3.3E-033.9E-04 to


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Opt Level % Factor Effect

Contribution of

SELECTed

Level to S/N

Ratio (in dB)

DOMINANTor

Significant or

neutral/negligible

"F" after Pooling

- - 0.00 neutral/negligible- -


C1 8 3.22 SIGNIFICANT 5

D2 4 -2.18 neutral/negligible 3

E1 79 9.87 D O M I N A N T 52

F1 4 2.09 neutral/negligible 2






Ov-Mean 45.99

S/N Ratio 58.99

"+-" prediction

error (95%

confidence) in dB 9.27

'Thickness' -

Fraction of

std_dev/mean

Range

Center Value

1.1E-03

L12_Nominal_Taguchi_1.xls

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Transcript of L12_Nominal_Taguchi_1.xls