Why/When is Taguchi Method Appropriate? A new tip Every Friday Friday, 6th July 2001

Tip #12 Taguchi Method “inner” L8 array with “outer” L4 and L9 NoIsE arrays (next 9 slides) Friday, 6th July 2001

“inner” L8 array with “outer” L4 and L9 NoIsE arrays all 7 columns assigned  To Control Factors (3 slides) Column 3 ‘empty’  To study interaction between Control Factors A and B assigned to columns 1 and 2 (3 slides) Column 1,2 and 3 assigned  to a single 4-Level Control Factor (3 slides)

L8 expt. with 2 Noise Factors (2-levels each) (7) Taguchi Method for Q&R : L9 expt. with 2 noise factors L8 expt. with 2 Noise Factors (2-levels each) Control Factors Measurements to Capture Noise Expt.No. 1 2 3 4 5 6 7 8 A B C D E F G H1K1 K1K2 H2K1 H2K2 H1K1 K1K2 H2K1 H2K2 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 H and K are noise factors with 2 level each ‘all’ 4 combinations are H1K1 , H1K2 , H2K1 and H2K2

L8 expt. With L4 Noise Array (7) Taguchi Method for Q&R : L9 expt. with 2 noise factors Measurements to Capture Noise L8 expt. With L4 Noise Array L4 Array H K 1 2 3 4 M # Control Factors 1 2 3 4 5 6 7 8 Expt.No. A B C D E F G 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 H1K1M1 H1K2M2 H2K1M2 H2K2M1 H, K and M are noise factors with 2 level each, 4 combinations as per L4 Array are H1K1M1 , H1K2M2, H2K1M2 and H2K2M1

L8 expt. With L4 Noise Array (7) Taguchi Method for Q&R : L9 expt. with 2 noise factors L8 expt. With L4 Noise Array H K M N 1 2 3 L9 Array Control Factors Measurements to Capture NoIsE Expt.No. A B C D E F G #1 #2 #3 #4 #5 #6 #7 #8 #9 #1 #2 #3 #4 #5 #6 #7 #8 #9 1 2 3 4 5 6 7 8 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 H, K, M and N are noise factors with 3 level each, 9 combinations as per L9 Array are used for measurements #1 to #9

L8 expt. with 2 Noise Factors (2-levels each) Study Interaction A x B (7) Taguchi Method for Q&R : L9 expt. with 2 noise factors L8 expt. with 2 Noise Factors (2-levels each) Study Interaction A x B Control Factors Measurements to Capture Noise Expt.No. A B AXB empty D E F G H1K1 K1K2 H2K1 H2K2 H1K1 K1K2 H2K1 H2K2 1 2 3 4 5 6 7 8 1 2 3 1 2 - 1 2 1 2 1 2 1 2 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 A x B is in column 3, so leave it empty H and K are noise factors with 2 level each ‘all’ 4 combinations are H1K1 , H1K2 , H2K1 and H2K2

L8 expt. With Noise Array Study Interaction A x B (7) Taguchi Method for Q&R : L9 expt. with 2 noise factors Measurements to Capture Noise L8 expt. With Noise Array Study Interaction A x B H K 1 2 3 4 M # L4 Array Control Factors 1 2 3 4 5 6 7 8 - Expt.No. A B AXB empty D E F G H1K1M1 H1K2M2 H2K1M2 H2K2M1 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 A x B is in column 3, so leave it empty H, K and M are noise factors with 2 level each, 4 combinations as per L4 Array are H1K1M1 , H1K2M2, H2K1M2 and H2K2M1

L8 expt. With Noise Array Study Interaction A x B (7) Taguchi Method for Q&R : L9 expt. with 2 noise factors L8 expt. With Noise Array Study Interaction A x B H K M N 1 2 3 L9 Array Control Factors Measurements to Capture NoIsE Expt.No. A B AXB empty D E F G #1 #2 #3 #4 #5 #6 #7 #8 #9 #1 #2 #3 #4 #5 #6 #7 #8 #9 1 2 3 4 5 6 7 8 1 2 3 1 2 - 1 2 1 2 1 2 1 2 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 H, K, M and N are noise factors with 3 level each, 9 combinations as per L9 Array are used for measurements #1 to #9

(7) Taguchi Method for Q&R : L9 expt. with 2 noise factors L8 expt. with 2 Noise Factors (2-levels each) Use a 4-Level Factor in place of A x B Control Factors Measurements to Capture Noise Expt.No. 1 2 3 4 5 6 7 8 - R AXB empty D E F G H1K1 K1K2 H2K1 H2K2 H1K1 K1K2 H2K1 H2K2 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 R is assigned to column 1x2 and column 3 is left empty H and K are noise factors with 2 level each ‘all’ 4 combinations are H1K1 , H1K2 , H2K1 and H2K2

L8 expt. With L4 Noise Array Use a 4-Level Factor in place of A & B (7) Taguchi Method for Q&R : L9 expt. with 2 noise factors Measurements to Capture Noise L8 expt. With L4 Noise Array Use a 4-Level Factor in place of A & B L4 Array H K 1 2 3 4 M # Control Factors Expt.No. 1 2 3 4 5 6 7 8 - R AXB empty D E F G H1K1M1 H1K2M2 H2K1M2 H2K2M1 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 R is assigned to column 1x2 and column 3 is left empty H, K and M are noise factors with 2 level each, 4 combinations as per L4 Array are H1K1M1 , H1K2M2, H2K1M2 and H2K2M1

L8 expt. With L9 Noise Array Use a 4-Level Factor in place of A & B (7) Taguchi Method for Q&R : L9 expt. with 2 noise factors L8 expt. With L9 Noise Array Use a 4-Level Factor in place of A & B H K M N 1 2 3 L9 Array Control Factors Measurements to Capture NoIsE Expt.No. R AXB empty D E F G #1 #2 #3 #4 #5 #6 #7 #8 #9 #1 #2 #3 #4 #5 #6 #7 #8 #9 1 2 3 4 5 6 7 8 1 2 3 4 - 1 2 1 2 1 2 1 2 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 R is assigned to column 1x2 and column 3 is left empty H, K, M and N are noise factors with 3 level each, 9 combinations as per L9 Array are used for measurements #1 to #9

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

end