l12-smaller-the-better-template - department of …apte/l12_small_taguch… · xls file · web...
TRANSCRIPT
Title of the problem Optimization of the painting process
Write an Introduction to the problem (1) Water vapor permeability to be smaller(2) Particle size / thickness to be nominal(3) Scrub resistance to be maximized
Team members
Duration star27-Sep-06
Date today08-May-23
Last Modified on 31-May-2007
password info for P. R. Apte: L12**** ==> L12 :- upto 11 control factors with 2-Levels each
This Excel Sheet is created by Dr. P. R. Apte, IIT Bombay, Powai, Mumbai-400 076, India e-mail: [email protected] , web-page : http://www.ee.iitb.ac.in/~apte
Optimization of the painting process
(1) Water vapor permeability to be smaller(2) Particle size / thickness to be nominal(3) Scrub resistance to be maximized
This Excel Sheet is created by Dr. P. R. Apte, IIT Bombay, Powai, Mumbai-400 076, India e-mail: [email protected] , web-page : http://www.ee.iitb.ac.in/~apte
YOU MAY OVER-WRITE ON THE 'orange' TEXT
IN ALL THE SHEETS
USERNAMESTART DATE
STEP 1: Identify Main Function, failure mode and side effects Painting Process
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-400 076, India e-mail: [email protected] , web-page : http://www.ee.iitb.ac.in/~apte
27-Dec-2005 TYPE THE DATE HERE
STEP 2: Identify Noise factors, testing conditions (to capture the effects of noise)
Various processes - of mixing, applying and drying the paint - have a lot many NoIsY parameters
The objective of the Taguchi experimentation is to increase "Scrub resistance" and to reduce the "Water vapor permeability".
Control Factors are (1) agitator rpm, (2) type of agitator and (3) type of buffer etc etcTheir levels are taken as far apart as possible
L12 array is chosen upto 11 control factors with 2 levels each are allowed. Interaction among the control factors is evenly distributed, However, interactions can not be studied,
Reference : "Quality Engineering using Robust Design" by M.S. Phadke, Prentice Hall 1989, Chapter 4
TODAY08-May-23
Painting Process
This Excel Sheet is created by Dr. P. R. Apte, IIT Bombay, Powai, Mumbai-400 076, India e-mail: [email protected] , web-page : http://www.ee.iitb.ac.in/~apte
Various processes - of mixing, applying and drying the paint - have a lot many
The objective of the Taguchi experimentation is to increase "Scrub resistance" and to reduce the "Water vapor permeability".
Control Factors are (1) agitator rpm, (2) type of agitator and (3) type of buffer
Their levels are taken as far apart as possible
L12 array is chosen upto 11 control factors with 2 levels each are allowed. Interaction among the control factors is evenly distributed, However, interactions can not be studied,
TESTS Smaller-the-better Nominal-the-Best Larger-the-Better Mean
Water vapor permeability YES
Type YES or NOType Quality
Characteristic name/identifier
9 5
Repetitions in each row of expt (due to NoIsE Factor
combinations)
no. of times the "confirmation experiment"
is repeated
You may overtype the number of measurements for each
experiment.(due to NoIsE Factor
combinations)
Type the number of times the 'BEST"
experiment (with 'best' CF levels) is repeated
CONTROL FACTORS AND THEIR LEVELS
Agitator-rpm A1 A2B B1 B2C C1 C2D D1 D2E E1 E2F F1 F2
Granules G1 G2H H1 H2- - -J J1 J2K K1 K2
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
Control Factor name
Level 1 name
Level 2 name
"empty", "-" are reservedfor indicatiing 'blank' columns
Go to a cell, delete contents (using 'delete' key) and write the Control Factor names (necessary) & Level names (optional)
Fill in the factor names and level names
NoIsE Level 3
U3 3 Type 2 or 3 V3 3
OKAY
L9
NUMBER OF LEVELS
Go to a cell, delete contents (using 'delete' key) and write the Control Factor names (necessary) & Level names (optional)
WHICH OUTER-
ARRAY IS REQUIRED =
L12 Array
Control FactorsA B C D E F G H I J
1 1 1 1 1 1 1 1 1 1 12 1 1 1 1 1 2 2 2 2 23 1 1 2 2 2 1 1 1 2 24 1 2 1 2 2 1 2 2 1 15 1 2 2 1 2 2 1 2 1 26 1 2 2 2 1 2 2 1 2 17 2 1 2 2 1 1 2 2 1 28 2 1 2 1 2 2 2 1 1 19 2 1 1 2 2 2 1 2 2 1
10 2 2 2 1 1 1 1 2 2 111 2 2 1 2 1 2 1 1 1 212 2 2 1 1 2 1 2 1 2 2
Total number of expts = 12REPETITIONS FOR EACH LEVEL = 6
Expt No.
Control FactorsK122211121221
L9 Array is always the same
and
Hence no need to change this - EVER
Experimenter's Log
9
Expt. No.
CONTROL FACTOR ASSIGNEMNT TO 11 COLUMNS
B C D E F Granules H - J
1 A1 B1 C1 D1 E1 F1 G1 H1 - J12 A1 B1 C1 D1 E1 F2 G2 H2 - J2
3 A1 B1 C2 D2 E2 F1 G1 H1 - J24 A1 B2 C1 D2 E2 F1 G2 H2 - J15 A1 B2 C2 D1 E2 F2 G1 H2 - J2
6 A1 B2 C2 D2 E1 F2 G2 H1 - J17 A2 B1 C2 D2 E1 F1 G2 H2 - J28 A2 B1 C2 D1 E2 F2 G2 H1 - J1
9 A2 B1 C1 D2 E2 F2 G1 H2 - J110 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
Repetition number for each level = 6
L9 L9
NUMBER OF MEASUREMENTS
Agitator-rpm
No need to feed anything here.
All 'text' is linked to entries in the sheet "Control-NoIsE Factors & Levels"
CHOSEN FACTORIAL OR ORTHOGONAL ARRAY
F2
F3
F4
F6
F8
F12
F16
L4
L8
L9
1 2 3 4 5 6 7 8 9
U NoIsE FACTOR 1 U1 U1 U1 U2 U2 U2 U3 U3 U3V NoIsE FACTOR 2 V1 V2 V3 V1 V2 V3 V1 V2 V3
CONTROL FACTOR ASSIGNEMNT TO 11 COLUMNS
K
K1 6.00E-02 6.50E-02 6.02E-02 6.25E-02 6.25E-02 6.53E-02 6.41E-02 6.11E-02 6.20E-02
K2 1.20E-01 1.30E-01 1.20E-01 1.23E-01 1.21E-01 1.25E-01 1.21E-01 1.25E-01 1.27E-01
K2 1.80E-01 1.95E-01 1.90E-01 1.81E-01 1.94E-01 1.86E-01 1.85E-01 1.90E-01 1.83E-01
K2 6.00E-01 6.57E-01 6.54E-01 6.29E-01 6.24E-01 6.50E-01 6.52E-01 6.52E-01 6.11E-01
K1 1.20E-01 1.31E-01 1.30E-01 1.28E-01 1.31E-01 1.26E-01 1.25E-01 1.31E-01 1.23E-01
K1 9.00E-02 9.17E-02 9.52E-02 9.33E-02 9.24E-02 9.62E-02 9.21E-02 9.13E-02 9.57E-02
K1 2.40E-01 2.53E-01 2.57E-01 2.41E-01 2.53E-01 2.62E-01 2.51E-01 2.50E-01 2.50E-01
K2 6.00E-02 6.45E-02 6.18E-02 6.29E-02 6.37E-02 6.54E-02 6.17E-02 6.06E-02 6.11E-02
K1 9.00E-02 9.72E-02 9.59E-02 9.69E-02 9.60E-02 9.23E-02 9.58E-02 9.60E-02 9.26E-02
K2 1.80E-01 1.98E-01 1.97E-01 1.91E-01 1.93E-01 1.85E-01 1.94E-01 1.84E-01 1.91E-01
K2 9.00E-02 9.42E-02 9.70E-02 9.72E-02 9.53E-02 9.86E-02 9.83E-02 9.38E-02 9.77E-02
K1 1.50E-01 1.61E-01 1.55E-01 1.50E-01 1.56E-01 1.58E-01 1.57E-01 1.64E-01 1.53E-01
CHOSEN FACTORIAL OR ORTHOGONAL
ARRAY==>L9
NoIsE Factor combinations used as repetitions for each (row of) experiment
L4 / F4 F6 F8 / L8 L9 L12 F16 F16
REPETITIONS
NoIsE FACTOR names
meas # 1
meas # 2
meas # 3
meas # 4
meas # 5
meas # 6
meas # 7
meas # 8
meas # 9
No need to feed anything here.
All 'text' is linked to entries in the sheet "Control-NoIsE Factors & Levels"
EXPT NO. 1 2 3 4 5 6 7 8 9A 1 2BCD
EXPT NO. 1 2 3 4 5 6 7 8 9A 1 2 3BCD
EXPT NO. 1 2 3 4 5 6 7 8 9A 1 1 2 2B 1 2 1 2CD
EXPT NO. 1 2 3 4 5 6 7 8 9A 1 1 1 2 2 2B 1 2 3 1 2 3CD
EXPT NO. 1 2 3 4 5 6 7 8 9A 1 1 1 1 2 2 2 2B 1 1 2 2 1 1 2 2C 1 2 1 2 1 2 1 2D
EXPT NO. 1 2 3 4 5 6 7 8 9A 1 1 1 1 1 1 2 2 2B 1 1 1 2 2 2 1 1 1C 1 2 3 1 2 3 1 2 3D
EXPT NO. 1 2 3 4 5 6 7 8 9A 1 1 1 1 1 1 1 1 2B 1 1 1 1 2 2 2 2 1C 1 1 2 2 1 1 2 2 1D 1 2 1 2 1 2 1 2 1
EXPT NO. 1 2 3 4 5 6 7 8 9A 1 1 2 2B 1 2 1 2C 1 2 2 1D
EXPT NO. 1 2 3 4 5 6 7 8 9A 1 1 1 1 2 2 2 2B 1 1 2 2 1 1 2 2C 1 2 1 2 1 2 1 2D 1 2 1 2 2 1 2 1
EXPT NO. 1 2 3 4 5 6 7 8 9A 1 1 1 2 2 2 3 3 3B 1 2 3 1 2 3 1 2 3C 1 2 3 2 3 1 3 1 2D 1 2 3 3 1 2 2 3 1
NoIsE Factor combinations used as repetitions for each (row of) experiment
L4 / F4 F6 F8 / L8 L9 L12
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 15 162 2 22 2 21 2 3
10 11 12 13 14 15 162 2 2 2 2 2 21 1 1 2 2 2 21 2 2 1 1 2 22 1 2 1 2 1 2
10 11 12 13 14 15 16
10 11 12 13 14 15 16
10 11 12 13 14 15 16
Expt No. 1 2 3 4 5 6 7 8
1 6.0E-02 1.2E-01 1.8E-01 6.0E-01 1.2E-01 9.0E-02 2.4E-01 6.0E-022 6.5E-02 1.3E-01 2.0E-01 6.6E-01 1.3E-01 9.2E-02 2.5E-01 6.4E-023 6.0E-02 1.2E-01 1.9E-01 6.5E-01 1.3E-01 9.5E-02 2.6E-01 6.2E-024 6.3E-02 1.2E-01 1.8E-01 6.3E-01 1.3E-01 9.3E-02 2.4E-01 6.3E-025 6.3E-02 1.2E-01 1.9E-01 6.2E-01 1.3E-01 9.2E-02 2.5E-01 6.4E-026 6.5E-02 1.3E-01 1.9E-01 6.5E-01 1.3E-01 9.6E-02 2.6E-01 6.5E-027 6.4E-02 1.2E-01 1.9E-01 6.5E-01 1.2E-01 9.2E-02 2.5E-01 6.2E-028 6.1E-02 1.3E-01 1.9E-01 6.5E-01 1.3E-01 9.1E-02 2.5E-01 6.1E-029 6.2E-02 1.3E-01 1.8E-01 6.1E-01 1.2E-01 9.6E-02 2.5E-01 6.1E-0210 6.3E-02 1.2E-01 2.0E-01 6.0E-01 1.3E-01 9.6E-02 2.4E-01 6.1E-0211 6.1E-02 1.2E-01 1.9E-01 6.4E-01 1.3E-01 9.7E-02 2.6E-01 6.4E-0212 6.3E-02 1.3E-01 1.8E-01 6.6E-01 1.3E-01 9.3E-02 2.5E-01 6.5E-0213141516
3.9E-03 1.5E-02 3.5E-02 4.0E-01 1.6E-02 8.8E-03 6.3E-02 3.9E-03
S/N Ratio 24.0864 18.12829 14.5104 3.933314 17.88276 20.56571 12.00547 24.06332
Repetitions for each expt
MEAN of sum of squares
You can have upto 16 measurements per expt
How to use NoIsE Factors for generating
repetitions for each expt
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 =
9 10 11 12
9.0E-02 1.8E-01 9.0E-02 1.5E-019.7E-02 2.0E-01 9.4E-02 1.6E-019.6E-02 2.0E-01 9.7E-02 1.6E-019.7E-02 1.9E-01 9.7E-02 1.5E-019.6E-02 1.9E-01 9.5E-02 1.6E-019.2E-02 1.8E-01 9.9E-02 1.6E-019.6E-02 1.9E-01 9.8E-02 1.6E-019.6E-02 1.8E-01 9.4E-02 1.6E-019.3E-02 1.9E-01 9.8E-02 1.5E-019.8E-02 1.9E-01 9.9E-02 1.5E-019.4E-02 2.0E-01 9.9E-02 1.6E-019.5E-02 1.9E-01 9.9E-02 1.6E-01
9.0E-03 3.6E-02 9.3E-03 2.4E-02
20.45574 14.3953 20.30193 16.12777
meas.
4 factorial
4 L4 Orthogonal Array
6 factorial
9 L9 Orthogonal Array
Feed the data in these rows and columns
You can have upto 16 measurements per expt
Blanks will not affect the results of mean, Variance and
SN Ratio
You can have upto 16 measurements per expt
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 =
Expt No. 1 2 3 4 5 6 7
1 6.00E-02 1.20E-01 1.80E-01 6.00E-01 1.20E-01 9.00E-02 2.40E-012 6.50E-02 1.30E-01 1.95E-01 6.57E-01 1.31E-01 9.17E-02 2.53E-013 6.02E-02 1.20E-01 1.90E-01 6.54E-01 1.30E-01 9.52E-02 2.57E-014 6.25E-02 1.23E-01 1.81E-01 6.29E-01 1.28E-01 9.33E-02 2.41E-015 6.25E-02 1.21E-01 1.94E-01 6.24E-01 1.31E-01 9.24E-02 2.53E-016 6.53E-02 1.25E-01 1.86E-01 6.50E-01 1.26E-01 9.62E-02 2.62E-017 6.41E-02 1.21E-01 1.85E-01 6.52E-01 1.25E-01 9.21E-02 2.51E-018 6.11E-02 1.25E-01 1.90E-01 6.52E-01 1.31E-01 9.13E-02 2.50E-019 6.20E-02 1.27E-01 1.83E-01 6.11E-01 1.23E-01 9.57E-02 2.50E-01
10111213141516
3.9E-03 1.5E-02 3.5E-02 4.1E-01 1.6E-02 8.7E-03 6.3E-02
S/N Ratio 24.08 18.15 14.54 3.92 17.91 20.62 12.01
Repetitions for each expt
MEAN of sum of squares
8 9 10 11 12
6.00E-02 9.00E-02 1.80E-01 9.00E-02 1.50E-016.45E-02 9.72E-02 1.98E-01 9.42E-02 1.61E-016.18E-02 9.59E-02 1.97E-01 9.70E-02 1.55E-016.29E-02 9.69E-02 1.91E-01 9.72E-02 1.50E-016.37E-02 9.60E-02 1.93E-01 9.53E-02 1.56E-016.54E-02 9.23E-02 1.85E-01 9.86E-02 1.58E-016.17E-02 9.58E-02 1.94E-01 9.83E-02 1.57E-016.06E-02 9.60E-02 1.84E-01 9.38E-02 1.64E-016.11E-02 9.26E-02 1.91E-01 9.77E-02 1.53E-01
3.9E-03 9.0E-03 3.6E-02 9.2E-03 2.4E-02
24.09 20.47 14.41 20.37 16.13
data has been 'linked' from the sheet:"Input measured
data" in these rows and columns
S-N RATIOs for each expariment ARE CALCULATED
Main EffectsAgitator-rpm B C D
Expt. No. S/N Ratio A1 A2 B1 B2 C1 C2 D1 D21 24.08 24.08 24.08 24.08 24.082 18.15 18.15 18.15 18.15 18.153 14.54 14.54 14.54 14.54 14.544 3.92 3.92 3.92 3.92 3.925 17.91 17.91 17.91 17.91 17.916 20.62 20.62 20.62 20.62 20.627 12.01 12.01 12.01 12.01 12.018 24.09 24.09 24.09 24.09 24.099 20.47 20.47 20.47 20.47 20.4710 14.41 14.41 14.41 14.41 14.4111 20.37 20.37 20.37 20.37 20.3712 16.13 16.13 16.13 16.13 16.13
Sum 99.22 107.49 113.34 93.36 103.12 103.59 114.77 91.93Factor Effects 16.54 17.91 18.89 15.56 17.19 17.26 19.13 15.32
ov mean 17.23 check= 17.23 check= 17.23 check= 17.23 check= 17.23
3560.61
3908.44
347.84
SUM OF SQ DUE TO MEAN
GRAND TOTAL SUM OF SQTotal sum of squares =
E F Granules H - JE1 E2 F1 F2 G1 G2 H1 H2 - - J1 J2
24.08 24.08 24.08 24.08 24.08 24.0818.15 18.15 18.15 18.15 18.15 18.15
14.54 14.54 14.54 14.54 14.54 14.543.92 3.92 3.92 3.92 3.92 3.92
17.91 17.91 17.91 17.91 17.91 17.9120.62 20.62 20.62 20.62 20.62 20.6212.01 12.01 12.01 12.01 12.01 12.01
24.09 24.09 24.09 24.09 24.09 24.0920.47 20.47 20.47 20.47 20.47 20.47
14.41 14.41 14.41 14.41 14.41 14.4120.37 20.37 20.37 20.37 20.37 20.37
16.13 16.13 16.13 16.13 16.13 16.13
109.64 97.07 85.10 121.61 111.78 94.93 119.83 86.87 102.38 104.32 107.58 99.1218.27 16.18 14.18 20.27 18.63 15.82 19.97 14.48 17.06 17.39 17.93 16.52
check= 17.23 check= 17.23 check= 17.23 check= 17.23 check= 17.23 check= 17.23
KK1 K2
24.0818.1514.543.92
17.9120.6212.01
24.0920.47
14.4120.37
16.13
111.22 95.4818.54 15.91
check= 17.23
Ov Mean 17.2317.23
A1 16.53643 17.23A2 17.91452 17.23
17.23B1 18.89043 17.23B2 15.56053 17.23
17.23C1 17.18608 17.23C2 17.26488 17.23
17.23D1 19.12901 17.23D2 15.32195 17.23
17.23E1 18.27326 17.23E2 16.1777 17.23
17.23F1 14.18292 17.23F2 20.26804 17.23
17.23G1 18.62971 17.23G2 15.82125 17.23
17.23H1 19.97227 17.23H2 14.47869 17.23
17.23- 17.06367 17.23- 17.38729 17.23
17.23J1 17.93044 17.23J2 16.52051 17.23
17.23K1 18.53693 17.23K2 15.91403 17.23
17.23
ov mean
YOU CAN MODIFY THE CHART - PARTICULARLY THE Y-AXIS
Ov
Mea
n
A1
A2
B1
B2
C1
C2
D1
D2
E1
E2 F1 F2 G1
G2
H1
H2 - -
J1 J2 K1
K2
ov m
ean
0
5
10
15
20
25
Main Factor Effects for Quality Char Name
2-Level Control Factors Ov Mean
Control Factors and Their Levels
S/N
Ratio
(sm
alle
r-the
-bet
ter)
in d
B
YOU CAN MODIFY THE CHART - PARTICULARLY THE Y-AXIS
Ov
Mea
n
A1
A2
B1
B2
C1
C2
D1
D2
E1
E2 F1 F2 G1
G2
H1
H2 - -
J1 J2 K1
K2
ov m
ean
0
5
10
15
20
25
Main Factor Effects for Quality Char Name
2-Level Control Factors Ov Mean
Control Factors and Their Levels
S/N
Ratio
(sm
alle
r-the
-bet
ter)
in d
B
Ov Mean 17.2317.23
A1 16.53643 17.23A2 17.91452 17.23
17.23B1 18.89043 17.23B2 15.56053 17.23
17.23C1 17.18608 17.23C2 17.26488 17.23
17.23D1 19.12901 17.23D2 15.32195 17.23
17.23E1 18.27326 17.23E2 16.1777 17.23
17.23F1 14.18292 17.23F2 20.26804 17.23
17.23G1 18.62971 17.23G2 15.82125 17.23
17.23H1 19.97227 17.23H2 14.47869 17.23
17.23- 17.06367 17.23- 17.38729 17.23
17.23J1 17.93044 17.23J2 16.52051 17.23
17.23K1 18.53693 17.23K2 15.91403 17.23
17.23
Ov Mean
Ov
Mea
n
A1
A2
B1
B2
C1
C2
D1
D2
E1
E2 F1 F2 G1
G2
H1
H2 - -
J1 J2 K1
K2
Ov
Mea
n
0
5
10
15
20
25
Main Factor Effects
2-Level Control Factors Ov Mean
Control Factors and Their Levels
S/N
Ratio
(sm
alle
r-the
-bet
ter)
(dB)
Ov
Mea
n
A1
A2
B1
B2
C1
C2
D1
D2
E1
E2 F1 F2 G1
G2
H1
H2 - -
J1 J2 K1
K2
Ov
Mea
n
0
5
10
15
20
25
Main Factor Effects
2-Level Control Factors Ov Mean
Control Factors and Their Levels
S/N
Ratio
(sm
alle
r-the
-bet
ter)
(dB)
LEVELS
Control Factors and Levels 1 2
Agitator-rpm 16.54 17.91 1 6 6
B 18.89 15.56 1 33 33
C 17.19 17.26 1 0 0
D 19.13 15.32 1 43 43
E 18.27 16.18 1 13 13
F 14.18 20.27 1 111 111
Granules 18.63 15.82 1 24 24
H 19.97 14.48 1 91 91
- 17.06 17.39 0 0 0
J 17.93 16.52 1 6 6
K 18.54 15.91 1 21 21
10
Ov-Mean 17.23 17.23
Total sum of Squares due to Factor Effects 348 348
Total sum of Squares = grand Total -12*mean sq 348
Error Variance (unpooled) 1 0
Error Variance (unpooled) per degree of freedom 0.31
(Error Variance pooled)) 4 12
Error Variance per degree of freedom 3.00
Error Bar for each Level of CF = 2*SQRT(error var. per DF / repetition of each level) = 1.41
4.35
95% confidence interval for pred. err = +-2*sqrt(pred err) = 4.17
OV-MEAN 3.18 3.18 3.18
Degrees of
Freedom
Sum of Squares
Mean Square
Prediction error variance (for 5 to 6 repititions) = sum of sq for error /neff =
empty
2 1813 no pooled - +- 1.41 dB
10 10587 no no 11 +- 1.41 dB
0 6 no pooled - +- 1.41 dB
13 13839 no no 15 +- 1.41 dB
4 4193 no no 4 +- 1.41 dB
32 35356 no no 37 +- 1.41 dB
7 7531 no no 8 +- 1.41 dB
26 28816 no no 30 +- 1.41 dB
- 0 yes yes - +- 1.41 dB
2 1898 no pooled - +- 1.41 dB
5.94 6569 no no 7 +- 1.41 dB
100no. of unpooled CFs = 7
1.25
5 0.68965517
Factor Effect (percent)
F before pooling
empty or pooled F=<1.5
F After
pooling
Error Bar on each CF Level
1/n = 1/(nexpts for mean) + (no of unpooled CF)/(nrepeat for each level) =
nr = no of repeat expts =
1/neff = 1/n + 1/nr
therefore neff =
Level 1 Level 2
Column 1 Agitator-rpm A1 A2 - -
Column 2 B B1 B2 1 B1
Column 3 C C1 C2 - -
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 1 G1
Column 8 H H1 H2 1 H1
Column 9 - - - - -
Column 10 J J1 J2 - -
Column 11 K K1 K2 1 K1
24.3
28.43 20.09
3.79E-02 to 9.90E-02
Type 'NEW' levels as 1,2
L12 ASSIGNMENT
Control Factor Names
SELECT LEVEL
LevelName
See the 'RESULTS' here
Opt Level % Factor Effect
- - 0.00 neutral/negligible- -
B1 10 1.66 SIGNIFICANT 11
- - 0.00 neutral/negligible- -
D1 13 1.90 SIGNIFICANT 15
E1 4 1.05 neutral/negligible 4
F2 32 -3.04 D O M I N A N T 37
G1 7 1.40 SIGNIFICANT 8
H1 26 2.75 D O M I N A N T 30
- - 0.00 neutral/negligible- -
- - 0.00 neutral/negligible- -
K1 6 1.31 SIGNIFICANT 7
Ov-Mean 17.23
S/N Ratio 24.26
4.17
6.12E-02
Contribution of SELECTed Level to S/N Ratio (in dB)
DOMINANT orSignificant or
neutral/negligible"F" after Pooling
"+-" prediction error (95% confidence) in dB
Water vapor permeability
Range Center Value