Transcript Why Taguchi Method Tip #14

Why/When is Taguchi Method
Appropriate?
A new tip Every Friday
Friday, 20th July 2001
New Tip #14
Taguchi Method
“inner” L18 array
with
“outer” L4 and L9 NoIsE arrays
(next 9 slides)
Friday, 20th July 2001
“inner” L18 array with “outer” L4 and L9 NoIsE arrays
• all 8 columns assigned
 Column 1 to a 2-Level Control Factor and
all other columns to 3-Level Factors
(3 slides)
• No need to keep any column ‘empty’
 To study interaction between
Control Factors A and B
assigned to columns 1 and 2
(3 slides)
• Column 1,2 assigned
 to a single 6-Level Control Factor
(3 slides)
(7B) Taguchi Method for Q&R : L18 expt. with 2 noise factors
L18 expt.
with
2 Noise Factors (K, M)
Control Factors
Expt.No.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
A
1
1
1
1
1
1
1
1
1
2
2
2
2
2
2
2
2
2
B
1
1
1
2
2
2
3
3
3
1
1
1
2
2
2
3
3
3
C
1
2
3
1
2
3
1
2
3
1
2
3
1
2
3
1
2
3
D
1
2
3
1
2
3
2
3
1
3
1
2
2
3
1
3
1
2
E
1
2
3
2
3
1
1
2
3
3
1
2
2
3
1
3
1
2
F
1
2
3
2
3
1
3
1
2
2
3
1
1
2
3
3
1
2
G
1
2
3
3
1
2
2
3
1
2
3
1
3
1
2
1
2
3
Measurements to Capture Noise
H
1
2
3
3
1
2
3
1
2
1
2
3
2
3
1
2
3
1
K1M1
K1M2
K2M1
K2M2
Y11
Y21
Y31
Y41
Y51
Y61
Y71
Y81
Y91
Y12
Y22
Y32
Y42
Y52
Y62
Y72
Y82
Y92
Y13
Y23
Y33
Y43
Y53
Y63
Y73
Y83
Y93
Y14
Y24
Y34
Y44
Y54
Y64
Y74
Y84
Y94
Y101
Y111
Y121
Y131
Y141
Y151
Y161
Y171
Y181
Y102
Y112
Y122
Y132
Y142
Y152
Y162
Y172
Y182
Y103
Y113
Y123
Y133
Y143
Y153
Y163
Y173
Y183
Y104
Y114
Y124
Y134
Y144
Y154
Y164
Y174
Y184
A is a 2-level factor and B-to-H are 3-level factors
(7) Taguchi Method for Q&R : L9 expt. with 2 noise factors
L18 expt.
With L4
Noise Array
N
M
Control Factors
Expt.No.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
A B
1 1
1 1
1 1
1 2
1 2
1 2
1 3
1 3
1 3
2 1
2 1
2 1
2 2
2 2
2 2
2 3
2 3
2 3
C D
1 1
2 2
3 3
1 1
2 2
3 3
1 2
2 3
3 1
1 3
2 1
3 2
1 2
2 3
3 1
1 3
2 1
3 2
E
1
2
3
2
3
1
1
2
3
3
1
2
2
3
1
3
1
2
F G
1 1
2 2
3 3
2 3
3 1
1 2
3 2
1 3
2 1
2 2
3 3
1 1
1 3
2 1
3 2
3 1
1 2
2 3
K
H
1
2
3
3
1
2
3
1
2
1
2
3
2
3
1
2
3
1
Measurements to Capture Noise
#
1
2
1
3
2
1
4
2
2
1
1
2
1
1
2
2
K1M1N1
K1M2N2
K2M1N2
K2M2N1
Y11
Y21
Y31
Y41
Y51
Y61
Y71
Y81
Y91
Y12
Y22
Y32
Y42
Y52
Y62
Y72
Y82
Y92
Y13
Y23
Y33
Y43
Y53
Y63
Y73
Y83
Y93
Y14
Y24
Y34
Y44
Y54
Y64
Y74
Y84
Y94
Y101
Y111
Y121
Y131
Y141
Y151
Y161
Y171
Y181
Y102
Y112
Y122
Y132
Y142
Y152
Y162
Y172
Y182
Y103
Y113
Y123
Y133
Y143
Y153
Y163
Y173
Y183
Y104
Y114
Y124
Y134
Y144
Y154
Y164
Y174
Y184
K, M and N are noise factors with 2 level each, 4 combinations as
per L4 Array are K1M1N1 , K1M2N2, K2M1N2 and K2M2N1
(7) Taguchi Method for Q&R : L9 expt. with 2 noise factors
L18 expt.
With L9 Noise Array
P
N
M
K
Control Factors
Expt.No. A B
1
1 1
2
1 1
3
1 1
4
1 2
5
1 2
6
1 2
7
1 3
8
1 3
9
1 3
10
2 1
11
2 1
12
2 1
13
2 2
14
2 2
15
2 2
16
2 3
17
2 3
18
2 3
C D
1 1
2 2
3 3
1 1
2 2
3 3
1 2
2 3
3 1
1 3
2 1
3 2
1 2
2 3
3 1
1 3
2 1
3 2
1
E
1
2
3
2
3
1
1
2
3
3
1
2
2
3
1
3
1
2
F G
1 1
2 2
3 3
2 3
3 1
1 2
3 2
1 3
2 1
2 2
3 3
1 1
1 3
2 1
3 2
3 1
1 2
2 3
H
1
2
3
3
1
2
3
1
2
1
2
3
2
3
1
2
3
1
1
2
1
1
2
2
1
3
3
3
1
3
2
1
1
2
3
2
2
1
3
3
3
1
1
2
2
2
2
3
3
Measurements to Capture NoIsE
#1
#2
#3
#4
#5
#6
#7
Y11
Y12
Y13
Y14
Y15
Y16
Y17
Y18
Y21
Y22
Y23
Y24
Y25
Y26
Y27
Y28
Y19
Y29
Y31
Y32
Y33
Y34
Y35
Y36
Y37
Y38
Y39
Y41
Y42
Y43
Y44
Y45
Y46
Y47
Y48
Y51
Y52
Y53
Y54
Y55
Y56
Y57
Y58
Y49
Y59
Y61
Y62
Y63
Y64
Y65
Y66
Y67
Y68
Y69
Y71
Y72
Y73
Y74
Y75
Y76
Y77
Y78
Y81
Y82
Y83
Y84
Y85
Y86
Y87
Y88
Y79
Y89
Y91
Y92
Y93
Y94
Y95
Y96
Y97
Y98
Y99
Y101
Y102
Y103
Y104
Y105
Y106
Y107
Y108
Y111
Y112
Y113
Y114
Y115
Y116
Y117
Y118
Y109
Y119
Y121
Y122
Y123
Y124
Y125
Y126
Y127
Y128
Y129
Y131
Y132
Y133
Y134
Y135
Y136
Y137
Y138
Y141
Y142
Y143
Y144
Y145
Y146
Y147
Y148
Y139
Y149
Y151
Y152
Y153
Y154
Y155
Y156
Y157
Y158
Y159
Y161
Y162
Y163
Y164
Y165
Y166
Y167
Y168
Y171
Y172
Y173
Y174
Y175
Y176
Y177
Y178
Y169
Y179
Y181
Y182
Y183
Y184
Y185
Y186
Y187
Y188
Y189
K, M, N and P are noise factors with 3 level each,
9 combinations as per L9 Array are used for measurements #1 to #9
#8
2
3
3
#9
1
(7B) Taguchi Method for Q&R : L18 expt. with 2 noise factors
L18 expt.
with
2 Noise Factors (K, M)
Control Factors
Expt.No.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
A
1
1
1
1
1
1
1
1
1
2
2
2
2
2
2
2
2
2
B
1
1
1
2
2
2
3
3
3
1
1
1
2
2
2
3
3
3
C
1
2
3
1
2
3
1
2
3
1
2
3
1
2
3
1
2
3
D
1
2
3
1
2
3
2
3
1
3
1
2
2
3
1
3
1
2
E
1
2
3
2
3
1
1
2
3
3
1
2
2
3
1
3
1
2
F
1
2
3
2
3
1
3
1
2
2
3
1
1
2
3
3
1
2
A x B can be studied
G
1
2
3
3
1
2
2
3
1
2
3
1
3
1
2
1
2
3
Measurements to Capture Noise
H
1
2
3
3
1
2
3
1
2
1
2
3
2
3
1
2
3
1
K1M1
K1M2
K2M1
K2M2
Y11
Y21
Y31
Y41
Y51
Y61
Y71
Y81
Y91
Y12
Y22
Y32
Y42
Y52
Y62
Y72
Y82
Y92
Y13
Y23
Y33
Y43
Y53
Y63
Y73
Y83
Y93
Y14
Y24
Y34
Y44
Y54
Y64
Y74
Y84
Y94
Y101
Y111
Y121
Y131
Y141
Y151
Y161
Y171
Y181
Y102
Y112
Y122
Y132
Y142
Y152
Y162
Y172
Y182
Y103
Y113
Y123
Y133
Y143
Y153
Y163
Y173
Y183
Y104
Y114
Y124
Y134
Y144
Y154
Y164
Y174
Y184
(7) Taguchi Method for Q&R : L9 expt. with 2 noise factors
L18 expt.
With L4
Noise Array
N
M
Control Factors
Expt.No.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
A B
1 1
1 1
1 1
1 2
1 2
1 2
1 3
1 3
1 3
2 1
2 1
2 1
2 2
2 2
2 2
2 3
2 3
2 3
C D
1 1
2 2
3 3
1 1
2 2
3 3
1 2
2 3
3 1
1 3
2 1
3 2
1 2
2 3
3 1
1 3
2 1
3 2
E
1
2
3
2
3
1
1
2
3
3
1
2
2
3
1
3
1
2
F G
1 1
2 2
3 3
2 3
3 1
1 2
3 2
1 3
2 1
2 2
3 3
1 1
1 3
2 1
3 2
3 1
1 2
2 3
A x B can be studied
K
H
1
2
3
3
1
2
3
1
2
1
2
3
2
3
1
2
3
1
Measurements to Capture Noise
#
1
2
1
3
2
1
4
2
2
1
1
2
1
1
2
2
K1M1N1
K1M2N2
K2M1N2
K2M2N1
Y11
Y21
Y31
Y41
Y51
Y61
Y71
Y81
Y91
Y12
Y22
Y32
Y42
Y52
Y62
Y72
Y82
Y92
Y13
Y23
Y33
Y43
Y53
Y63
Y73
Y83
Y93
Y14
Y24
Y34
Y44
Y54
Y64
Y74
Y84
Y94
Y101
Y111
Y121
Y131
Y141
Y151
Y161
Y171
Y181
Y102
Y112
Y122
Y132
Y142
Y152
Y162
Y172
Y182
Y103
Y113
Y123
Y133
Y143
Y153
Y163
Y173
Y183
Y104
Y114
Y124
Y134
Y144
Y154
Y164
Y174
Y184
K, M and N are noise factors with 2 level each, 4
combinations as per L4 Array are K1M1N1 ,
K1M2N2, K2M1N2 and K2M2N1
(7) Taguchi Method for Q&R : L9 expt. with 2 noise factors
L18 expt.
With L9 Noise Array
P
N
M
K
Control Factors
Expt.No. A B
1
1 1
2
1 1
3
1 1
4
1 2
5
1 2
6
1 2
7
1 3
8
1 3
9
1 3
10
2 1
11
2 1
12
2 1
13
2 2
14
2 2
15
2 2
16
2 3
17
2 3
18
2 3
C D
1 1
2 2
3 3
1 1
2 2
3 3
1 2
2 3
3 1
1 3
2 1
3 2
1 2
2 3
3 1
1 3
2 1
3 2
1
E
1
2
3
2
3
1
1
2
3
3
1
2
2
3
1
3
1
2
F G
1 1
2 2
3 3
2 3
3 1
1 2
3 2
1 3
2 1
2 2
3 3
1 1
1 3
2 1
3 2
3 1
1 2
2 3
A x B can be studied
H
1
2
3
3
1
2
3
1
2
1
2
3
2
3
1
2
3
1
1
2
1
1
2
2
1
3
3
3
1
3
2
1
1
2
3
2
2
1
3
3
3
1
1
2
2
2
2
3
3
Measurements to Capture NoIsE
#8
1
2
3
3
#1
#2
#3
#4
#5
#6
#7
#9
Y11
Y12
Y13
Y14
Y15
Y16
Y17
Y18
Y21
Y22
Y23
Y24
Y25
Y26
Y27
Y28
Y19
Y29
Y31
Y32
Y33
Y34
Y35
Y36
Y37
Y38
Y39
Y41
Y42
Y43
Y44
Y45
Y46
Y47
Y48
Y51
Y52
Y53
Y54
Y55
Y56
Y57
Y58
Y49
Y59
Y61
Y62
Y63
Y64
Y65
Y66
Y67
Y68
Y69
Y71
Y72
Y73
Y74
Y75
Y76
Y77
Y78
Y81
Y82
Y83
Y84
Y85
Y86
Y87
Y88
Y79
Y89
Y91
Y92
Y93
Y94
Y95
Y96
Y97
Y98
Y99
Y101
Y102
Y103
Y104
Y105
Y106
Y107
Y108
Y111
Y112
Y113
Y114
Y115
Y116
Y117
Y118
Y109
Y119
Y121
Y122
Y123
Y124
Y125
Y126
Y127
Y128
Y129
Y131
Y132
Y133
Y134
Y135
Y136
Y137
Y138
Y141
Y142
Y143
Y144
Y145
Y146
Y147
Y148
Y139
Y149
Y151
Y152
Y153
Y154
Y155
Y156
Y157
Y158
Y159
Y161
Y162
Y163
Y164
Y165
Y166
Y167
Y168
Y171
Y172
Y173
Y174
Y175
Y176
Y177
Y178
Y169
Y179
Y181
Y182
Y183
Y184
Y185
Y186
Y187
Y188
Y189
K, M, N and P are noise factors with 3 level each, 9 combinations
as per L9 Array are used for measurements #1 to #9
(7B) Taguchi Method for Q&R : L18 expt. with 2 noise factors
L18 expt.
with
2 Noise Factors (K, M)
Control Factors
Measurements to Capture Noise
K1M1
K1M2
K2M1
Expt.No.
R
C D E F G
H
Y11
Y12
Y13
1
1
1 1
1 1
1
1
Y21
Y22
Y23
2
2 2
2 2
2
2
1
Y31
Y32
Y33
3
3 3
3 3
3
3
1
Y41
Y42
Y43
4
1 1
2 2
3
3
2
Y51
Y52
Y53
5
2
2 2
3 3
1
1
Y61
Y62
Y63
6
3 3
1 1
2
2
2
Y71
Y72
Y73
7
1 2
1 3
2
3
3
Y81
Y82
Y83
8
2 3
2 1
3
1
3
Y91
Y92
Y93
9
3 1
3 2
1
2
3
Y101
Y102
Y103
10
4
1 3
3 2
2
1
Y111
Y112
Y113
11
2 1
1 3
3
2
4
Y121
Y122
Y123
12
3 2
2 1
1
3
4
Y131
Y132
Y133
13
1 2
2 1
3
2
5
Y141
Y142
Y143
14
5
2 3
3 2
1
3
Y151
Y152
Y153
15
3 1
1 3
2
1
5
Y161
Y162
Y163
16
1 3
3 3
1
2
6
Y171
Y172
Y173
17
2 1
1 1
2
3
6
Y181
Y182
Y183
18
3 2
2 2
3
1
6
R is entirely a ‘new’ Control Factor (consuming columns 1,2 and 3). Even
though it may be constructed out of A and B, Interaction between AXB can
not be studied
K2M2
Y14
Y24
Y34
Y44
Y54
Y64
Y74
Y84
Y94
Y104
Y114
Y124
Y134
Y144
Y154
Y164
Y174
Y184
(7) Taguchi Method for Q&R : L9 expt. with 2 noise factors
L18 expt.
With L4
Noise Array
N
M
Control Factors
Expt.No.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
R
1
1
1
2
2
2
3
3
3
4
4
4
5
5
5
6
6
6
C D
1 1
2 2
3 3
1 1
2 2
3 3
1 2
2 3
3 1
1 3
2 1
3 2
1 2
2 3
3 1
1 3
2 1
3 2
E
1
2
3
2
3
1
1
2
3
3
1
2
2
3
1
3
1
2
F G
1 1
2 2
3 3
2 3
3 1
1 2
3 2
1 3
2 1
2 2
3 3
1 1
1 3
2 1
3 2
3 1
1 2
2 3
R is a 6-Level Factor
K
H
1
2
3
3
1
2
3
1
2
1
2
3
2
3
1
2
3
1
Measurements to Capture Noise
#
1
2
1
3
2
1
4
2
2
1
1
2
1
1
2
2
K1M1N1
K1M2N2
K2M1N2
K2M2N1
Y11
Y21
Y31
Y41
Y51
Y61
Y71
Y81
Y91
Y12
Y22
Y32
Y42
Y52
Y62
Y72
Y82
Y92
Y13
Y23
Y33
Y43
Y53
Y63
Y73
Y83
Y93
Y14
Y24
Y34
Y44
Y54
Y64
Y74
Y84
Y94
Y101
Y111
Y121
Y131
Y141
Y151
Y161
Y171
Y181
Y102
Y112
Y122
Y132
Y142
Y152
Y162
Y172
Y182
Y103
Y113
Y123
Y133
Y143
Y153
Y163
Y173
Y183
Y104
Y114
Y124
Y134
Y144
Y154
Y164
Y174
Y184
K, M and N are noise factors with 2 level
each, 4 combinations as per L4 Array are
K1M1N1 , K1M2N2, K2M1N2 and K2M2N1
(7) Taguchi Method for Q&R : L9 expt. with 2 noise factors
L18 expt.
With L9 Noise Array
P
N
M
K
Control Factors
Expt.No.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
R
1
1
1
2
2
2
3
3
3
4
4
4
5
5
5
6
6
6
C D
1 1
2 2
3 3
1 1
2 2
3 3
1 2
2 3
3 1
1 3
2 1
3 2
1 2
2 3
3 1
1 3
2 1
3 2
1
E
1
2
3
2
3
1
1
2
3
3
1
2
2
3
1
3
1
2
F G
1 1
2 2
3 3
2 3
3 1
1 2
3 2
1 3
2 1
2 2
3 3
1 1
1 3
2 1
3 2
3 1
1 2
2 3
R is a 6-Level Factor
H
1
2
3
3
1
2
3
1
2
1
2
3
2
3
1
2
3
1
1
2
1
1
2
2
1
3
3
3
1
3
2
1
1
2
3
2
2
1
3
3
3
1
1
2
2
2
2
3
3
Measurements to Capture NoIsE
#8
1
2
3
3
#1
#2
#3
#4
#5
#6
#7
#9
Y11
Y12
Y13
Y14
Y15
Y16
Y17
Y18
Y21
Y22
Y23
Y24
Y25
Y26
Y27
Y28
Y19
Y29
Y31
Y32
Y33
Y34
Y35
Y36
Y37
Y38
Y39
Y41
Y42
Y43
Y44
Y45
Y46
Y47
Y48
Y51
Y52
Y53
Y54
Y55
Y56
Y57
Y58
Y49
Y59
Y61
Y62
Y63
Y64
Y65
Y66
Y67
Y68
Y69
Y71
Y72
Y73
Y74
Y75
Y76
Y77
Y78
Y81
Y82
Y83
Y84
Y85
Y86
Y87
Y88
Y79
Y89
Y91
Y92
Y93
Y94
Y95
Y96
Y97
Y98
Y99
Y101
Y102
Y103
Y104
Y105
Y106
Y107
Y108
Y111
Y112
Y113
Y114
Y115
Y116
Y117
Y118
Y109
Y119
Y121
Y122
Y123
Y124
Y125
Y126
Y127
Y128
Y129
Y131
Y132
Y133
Y134
Y135
Y136
Y137
Y138
Y141
Y142
Y143
Y144
Y145
Y146
Y147
Y148
Y139
Y149
Y151
Y152
Y153
Y154
Y155
Y156
Y157
Y158
Y159
Y161
Y162
Y163
Y164
Y165
Y166
Y167
Y168
Y171
Y172
Y173
Y174
Y175
Y176
Y177
Y178
Y169
Y179
Y181
Y182
Y183
Y184
Y185
Y186
Y187
Y188
Y189
K, M, N and P are noise factors with 3 level each, 9 combinations
as per L9 Array are used for measurements #1 to #9
More Tips
16.
Taguchi Method
r n
e
1st Priority : Va ia ce R duction
2nd Priority : Factor Effects
15.
“inner” L9 array with
“outer” L4 and L9 NoIsE arrays
14.
Taguchi Method
“inner” L18 array with
“outer” L4 and L9 NoIsE arrays
13.
Links below
Friday, 3rd Aug 2001
Friday, 27th July 2001
Friday, 20th July 2001
Taguchi Method
Why/When is Taguchi Method not Appropriate?
Friday, 13th July 2001
Tips 12, 11, 10 
More Tips
12. Taguchi Method
Links below
Friday, 6th July 2001
“inner” L8 array with
“outer” L4 and L9 NoIsE arrays
11. Taguchi Method
Friday, 29th June 2001
Useful at ALL Life-stages of a Process or
Product
10. Taguchi Method
Friday, 22nd June 2001
Performs Process “centering” or “fine tuning”
Tips 9, 8, 7 
More Tips
9. Taguchi Method
Links below
Friday, 15th June 2001
Identifies the “right” NoIsE factor(s)
for Tolerance Design
8.
Taguchi Method
Friday, 8th June 2001
Finds best settings to optimize
TWO quality characteristics Simultaneously
7.
Taguchi Method
Friday, 1st June 2001
When to select a ‘Larger’ OA to perform
“Factorial Experiments”
Tips 6, 5, 4 
More Tips
6. Taguchi Method
Links below
Friday, 25th May 2001
Using Orthogonal Arrays for Generating
Balanced Combinations of NoIsE Factors
5.
Taguchi Method
Friday, 18th May 2001
Signal-to-Noise Ratio for Quality
Characteristics
approaching IDEAL value
4. Taguchi Method
Friday, 11th May 2001
improves " quality “ at all the life stages
at the design stage itself
Tips 3, 2, 1 
More Tips
Links below
3. Taguchi Method
Appropriate for Concurrent Engineering
Friday, 4th May 2001
2.
Friday, 27th April 2001
Taguchi Method can study Interaction
between Noise Factors and Control
Factors
1.
Taguchi’s Signal-to-Noise Ratios are in
Log form
Friday, 6th April 2001
end