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)

L18 expt. with 2 Noise Factors (K, M) (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 Expt.No. A 1 2 B C D 1 2 3 E F G H K1M1 K1M2 K2M1 K2M2 1 2 3 4 5 6 7 8 9 Y11 Y12 Y13 Y14 Y21 Y22 Y23 Y24 Y31 Y32 Y33 Y34 Y41 Y42 Y43 Y44 Y51 Y52 Y53 Y54 Y61 Y62 Y63 Y64 Y71 Y72 Y73 Y74 Y81 Y82 Y83 Y84 Y91 Y92 Y93 Y94 10 11 12 13 14 15 16 17 18 Y101 Y102 Y103 Y104 Y111 Y112 Y113 Y114 Y121 Y122 Y123 Y124 Y131 Y132 Y133 Y134 Y141 Y142 Y143 Y144 Y151 Y152 Y153 Y154 Y161 Y162 Y163 Y164 Y171 Y172 Y173 Y174 Y181 Y182 Y183 Y184 A is a 2-level factor and B-to-H are 3-level factors

L18 expt. With L4 Noise Array (7) Taguchi Method for Q&R : L9 expt. with 2 noise factors Measurements to Capture Noise L18 expt. With L4 Noise Array L4 Array # 1 2 3 4 N 1 2 Control Factors M 1 2 K 1 2 Expt.No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 A 1 2 B 1 2 3 C D E F G H K1M1N1 K1M2N2 K2M1N2 K2M2N1 Y11 Y12 Y13 Y14 Y21 Y22 Y23 Y24 Y31 Y32 Y33 Y34 Y41 Y42 Y43 Y44 Y51 Y52 Y53 Y54 Y61 Y62 Y63 Y64 Y71 Y72 Y73 Y74 Y81 Y82 Y83 Y84 Y91 Y92 Y93 Y94 Y101 Y102 Y103 Y104 Y111 Y112 Y113 Y114 Y121 Y122 Y123 Y124 Y131 Y132 Y133 Y134 Y141 Y142 Y143 Y144 Y151 Y152 Y153 Y154 Y161 Y162 Y163 Y164 Y171 Y172 Y173 Y174 Y181 Y182 Y183 Y184 K, M and N are noise factors with 2 level each, 4 combinations as per L4 Array are K1M1N1 , K1M2N2, K2M1N2 and K2M2N1

L18 expt. With L9 Noise Array (7) Taguchi Method for Q&R : L9 expt. with 2 noise factors L18 expt. With L9 Noise Array K M N P 1 2 3 L9 Array Control Factors Measurements to Capture NoIsE Expt.No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 A 1 2 C D 1 2 3 B E F G H #1 #2 #3 #4 #5 #6 #7 #8 #9 Y11 Y12 Y13 Y14 Y15 Y16 Y17 Y18 Y19 Y21 Y22 Y23 Y24 Y25 Y26 Y27 Y28 Y29 Y31 Y32 Y33 Y34 Y35 Y36 Y37 Y38 Y39 Y41 Y42 Y43 Y44 Y45 Y46 Y47 Y48 Y49 Y51 Y52 Y53 Y54 Y55 Y56 Y57 Y58 Y59 Y61 Y62 Y63 Y64 Y65 Y66 Y67 Y68 Y69 Y71 Y72 Y73 Y74 Y75 Y76 Y77 Y78 Y79 Y81 Y82 Y83 Y84 Y85 Y86 Y87 Y88 Y89 Y91 Y92 Y93 Y94 Y95 Y96 Y97 Y98 Y99 Y101 Y102 Y103 Y104 Y105 Y106 Y107 Y108 Y109 Y111 Y112 Y113 Y114 Y115 Y116 Y117 Y118 Y119 Y121 Y122 Y123 Y124 Y125 Y126 Y127 Y128 Y129 Y131 Y132 Y133 Y134 Y135 Y136 Y137 Y138 Y139 Y141 Y142 Y143 Y144 Y145 Y146 Y147 Y148 Y149 Y151 Y152 Y153 Y154 Y155 Y156 Y157 Y158 Y159 Y161 Y162 Y163 Y164 Y165 Y166 Y167 Y168 Y169 Y171 Y172 Y173 Y174 Y175 Y176 Y177 Y178 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

Measurements to Capture Noise (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 Expt.No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 A 1 2 B 1 2 3 C D E F G H K1M1 K1M2 K2M1 K2M2 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 Y11 Y12 Y13 Y14 Y21 Y22 Y23 Y24 Y31 Y32 Y33 Y34 Y41 Y42 Y43 Y44 Y51 Y52 Y53 Y54 Y61 Y62 Y63 Y64 Y71 Y72 Y73 Y74 Y81 Y82 Y83 Y84 Y91 Y92 Y93 Y94 1 2 3 3 1 2 3 1 2 2 3 1 2 3 1 1 2 3 Y101 Y102 Y103 Y104 Y111 Y112 Y113 Y114 Y121 Y122 Y123 Y124 Y131 Y132 Y133 Y134 Y141 Y142 Y143 Y144 Y151 Y152 Y153 Y154 Y161 Y162 Y163 Y164 Y171 Y172 Y173 Y174 Y181 Y182 Y183 Y184 A x B can be studied

L18 expt. With L4 Noise Array (7) Taguchi Method for Q&R : L9 expt. with 2 noise factors Measurements to Capture Noise L18 expt. With L4 Noise Array L4 Array # 1 2 3 4 N 1 2 Control Factors M 1 2 K 1 2 Expt.No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 A 1 2 B 1 2 3 C D E F G H K1M1N1 K1M2N2 K2M1N2 K2M2N1 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 Y11 Y12 Y13 Y14 Y21 Y22 Y23 Y24 Y31 Y32 Y33 Y34 Y41 Y42 Y43 Y44 Y51 Y52 Y53 Y54 Y61 Y62 Y63 Y64 Y71 Y72 Y73 Y74 Y81 Y82 Y83 Y84 Y91 Y92 Y93 Y94 1 2 3 3 1 2 3 1 2 2 3 1 2 3 1 1 2 3 Y101 Y102 Y103 Y104 Y111 Y112 Y113 Y114 Y121 Y122 Y123 Y124 Y131 Y132 Y133 Y134 Y141 Y142 Y143 Y144 Y151 Y152 Y153 Y154 Y161 Y162 Y163 Y164 Y171 Y172 Y173 Y174 Y181 Y182 Y183 Y184 K, M and N are noise factors with 2 level each, 4 combinations as per L4 Array are K1M1N1 , K1M2N2, K2M1N2 and K2M2N1 A x B can be studied

L18 expt. With L9 Noise Array (7) Taguchi Method for Q&R : L9 expt. with 2 noise factors L18 expt. With L9 Noise Array K M N P 1 2 3 L9 Array Control Factors Measurements to Capture NoIsE Expt.No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 A 1 2 B 1 2 3 C D E F G H #1 #2 #3 #4 #5 #6 #7 #8 #9 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 Y11 Y12 Y13 Y14 Y15 Y16 Y17 Y18 Y19 Y21 Y22 Y23 Y24 Y25 Y26 Y27 Y28 Y29 Y31 Y32 Y33 Y34 Y35 Y36 Y37 Y38 Y39 Y41 Y42 Y43 Y44 Y45 Y46 Y47 Y48 Y49 Y51 Y52 Y53 Y54 Y55 Y56 Y57 Y58 Y59 Y61 Y62 Y63 Y64 Y65 Y66 Y67 Y68 Y69 Y71 Y72 Y73 Y74 Y75 Y76 Y77 Y78 Y79 Y81 Y82 Y83 Y84 Y85 Y86 Y87 Y88 Y89 Y91 Y92 Y93 Y94 Y95 Y96 Y97 Y98 Y99 1 2 3 3 1 2 3 1 2 2 3 1 2 3 1 1 2 3 Y101 Y102 Y103 Y104 Y105 Y106 Y107 Y108 Y109 Y111 Y112 Y113 Y114 Y115 Y116 Y117 Y118 Y119 Y121 Y122 Y123 Y124 Y125 Y126 Y127 Y128 Y129 Y131 Y132 Y133 Y134 Y135 Y136 Y137 Y138 Y139 Y141 Y142 Y143 Y144 Y145 Y146 Y147 Y148 Y149 Y151 Y152 Y153 Y154 Y155 Y156 Y157 Y158 Y159 Y161 Y162 Y163 Y164 Y165 Y166 Y167 Y168 Y169 Y171 Y172 Y173 Y174 Y175 Y176 Y177 Y178 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 A x B can be studied

Measurements to Capture Noise (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 Expt.No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 R 1 2 3 4 5 6 C D E F G H K1M1 K1M2 K2M1 K2M2 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 Y11 Y12 Y13 Y14 Y21 Y22 Y23 Y24 Y31 Y32 Y33 Y34 Y41 Y42 Y43 Y44 Y51 Y52 Y53 Y54 Y61 Y62 Y63 Y64 Y71 Y72 Y73 Y74 Y81 Y82 Y83 Y84 Y91 Y92 Y93 Y94 1 2 3 3 1 2 3 1 2 2 3 1 2 3 1 1 2 3 Y101 Y102 Y103 Y104 Y111 Y112 Y113 Y114 Y121 Y122 Y123 Y124 Y131 Y132 Y133 Y134 Y141 Y142 Y143 Y144 Y151 Y152 Y153 Y154 Y161 Y162 Y163 Y164 Y171 Y172 Y173 Y174 Y181 Y182 Y183 Y184 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

L18 expt. With L4 Noise Array (7) Taguchi Method for Q&R : L9 expt. with 2 noise factors Measurements to Capture Noise L18 expt. With L4 Noise Array L4 Array # 1 2 3 4 N 1 2 Control Factors M 1 2 K 1 2 Expt.No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 R 1 2 3 4 5 6 C D E F G H K1M1N1 K1M2N2 K2M1N2 K2M2N1 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 Y11 Y12 Y13 Y14 Y21 Y22 Y23 Y24 Y31 Y32 Y33 Y34 Y41 Y42 Y43 Y44 Y51 Y52 Y53 Y54 Y61 Y62 Y63 Y64 Y71 Y72 Y73 Y74 Y81 Y82 Y83 Y84 Y91 Y92 Y93 Y94 1 2 3 3 1 2 3 1 2 2 3 1 2 3 1 1 2 3 Y101 Y102 Y103 Y104 Y111 Y112 Y113 Y114 Y121 Y122 Y123 Y124 Y131 Y132 Y133 Y134 Y141 Y142 Y143 Y144 Y151 Y152 Y153 Y154 Y161 Y162 Y163 Y164 Y171 Y172 Y173 Y174 Y181 Y182 Y183 Y184 K, M and N are noise factors with 2 level each, 4 combinations as per L4 Array are K1M1N1 , K1M2N2, K2M1N2 and K2M2N1 R is a 6-Level Factor

L18 expt. With L9 Noise Array (7) Taguchi Method for Q&R : L9 expt. with 2 noise factors L18 expt. With L9 Noise Array K M N P 1 2 3 L9 Array Control Factors Measurements to Capture NoIsE Expt.No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 R 1 2 3 4 5 6 C D E F G H #1 #2 #3 #4 #5 #6 #7 #8 #9 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 Y11 Y12 Y13 Y14 Y15 Y16 Y17 Y18 Y19 Y21 Y22 Y23 Y24 Y25 Y26 Y27 Y28 Y29 Y31 Y32 Y33 Y34 Y35 Y36 Y37 Y38 Y39 Y41 Y42 Y43 Y44 Y45 Y46 Y47 Y48 Y49 Y51 Y52 Y53 Y54 Y55 Y56 Y57 Y58 Y59 Y61 Y62 Y63 Y64 Y65 Y66 Y67 Y68 Y69 Y71 Y72 Y73 Y74 Y75 Y76 Y77 Y78 Y79 Y81 Y82 Y83 Y84 Y85 Y86 Y87 Y88 Y89 Y91 Y92 Y93 Y94 Y95 Y96 Y97 Y98 Y99 1 2 3 3 1 2 3 1 2 2 3 1 2 3 1 1 2 3 Y101 Y102 Y103 Y104 Y105 Y106 Y107 Y108 Y109 Y111 Y112 Y113 Y114 Y115 Y116 Y117 Y118 Y119 Y121 Y122 Y123 Y124 Y125 Y126 Y127 Y128 Y129 Y131 Y132 Y133 Y134 Y135 Y136 Y137 Y138 Y139 Y141 Y142 Y143 Y144 Y145 Y146 Y147 Y148 Y149 Y151 Y152 Y153 Y154 Y155 Y156 Y157 Y158 Y159 Y161 Y162 Y163 Y164 Y165 Y166 Y167 Y168 Y169 Y171 Y172 Y173 Y174 Y175 Y176 Y177 Y178 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 R is a 6-Level Factor

More Tips Links below Tips 12, 11, 10  Taguchi Method Friday, 3rd Aug 2001 Friday, 27th July 2001 Friday, 20th July 2001 Friday, 13th July 2001 Taguchi Method 1st Priority : Variance Reduction 2nd Priority : Factor Effects 15. “inner” L9 array with “outer” L4 and L9 NoIsE arrays “inner” L18 array with “outer” L4 and L9 NoIsE arrays Taguchi Method Why/When is Taguchi Method not Appropriate? Tips 12, 11, 10 

More Tips Links below Taguchi Method Friday, 6th July 2001 Friday, 29th June 2001 Friday, 22nd June 2001 Taguchi Method “inner” L8 array with “outer” L4 and L9 NoIsE arrays Useful at ALL Life-stages of a Process or Product Performs Process “centering” or “fine tuning” Tips 9, 8, 7 

More Tips Links below Tips 6, 5, 4  Taguchi Method Identifies the “right” NoIsE factor(s) for Tolerance Design Taguchi Method Finds best settings to optimize TWO quality characteristics Simultaneously 7. Taguchi Method When to select a ‘Larger’ OA to perform “Factorial Experiments” Friday, 15th June 2001 Friday, 8th June 2001 Friday, 1st June 2001 Tips 6, 5, 4 

More Tips Links below Tips 3, 2, 1  Friday, 25th May 2001 Friday, 18th May 2001 Friday, 11th May 2001 Taguchi Method Using Orthogonal Arrays for Generating Balanced Combinations of NoIsE Factors Taguchi Method Signal-to-Noise Ratio for Quality Characteristics approaching IDEAL value 4. Taguchi Method improves " quality “ at all the life stages at the design stage itself Tips 3, 2, 1 

More Tips Links below Friday, 4th May 2001 Friday, 27th April 2001 Friday, 6th April 2001 3. Taguchi Method Appropriate for Concurrent Engineering 2. Taguchi Method can study Interaction between Noise Factors and Control Factors 1. Taguchi’s Signal-to-Noise Ratios are in Log form

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