why taguchi method tip 5

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Page 1: Why Taguchi Method Tip 5

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Why/When is Taguchi Method Appropriate?

Friday, 18th May 2001

Tip #5Taguchi Method 

Appropriate Signal-to-Noise Ratio  for

Quality Characteristics approaching IDEAL value 

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Taguchi MethodAppropriate Signal-to-Noise Ratio

forQuality Characteristics

approaching IDEAL value 

(next 7 sl ides)

Friday, 18th May 2001

Tip #5

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Taguchi’s SN Ratio Quality Characteristics approaching IDEAL value 

• Taguchi’s SN-Ratio for smaller-the-better 

 –  quality characteristics is usually an undesired output, for example

•  Defects like pin holes, particulates in deposition processes

• Unwanted by-product or side effect  

• Taguchi’s SN-Ratio for  LARGER-THE-BETTER  

 –  quality characteristics is usually a desired output, for example

•  Bond strength

• Critical Current

• Taguchi’s SN-Ratio for   NOMINAL-the-best 

 –  quality characteristics is usually a nominal output, for example

• most parts in mechanical fittings have nominal dimensions

•  Ratios of chemicals or mixtures are nominally the best type.

• Thickness should be uniform in deposition /growth /plating /etching..

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•  But what about quality characteristics that approach

an ideal value?

 –  Examples are

• Efficiency : all efficiencies approach the ideal value of 100%• Weld strength : approaches the ideal strength of the material

• Critical temperature or Critical current density for High

Temperature superconductors (YBCO) :

These approach ideal values, say 92K and 108 A/cm2 

• Which SN-Ratio is most suitable among the following ?

 –  smaller-the-better

 –  LARGER-THE-BETTER

 –   NOMINAL-the-BEST

Taguchi’s SN Ratio Quality Characteristics approaching IDEAL value 

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• Taguchi’s SN-Ratio for smaller-the-better 

( quality characteristics is usually an undesired output, say Defects )

 –  S/N Ratio  = –  10 Log10 ( 1/n  Yi2 ) 

• Taguchi’s SN-Ratio for  LARGER-THE-BETTER  

( quality characteristics is usually a desired output, say Current )

 –  S/N Ratio  = –  10 Log10 ( 1/n  1/Yi2 ) 

•   Taguchi’s SN-Ratio for NOMINAL-the-best

( quality characteristics is usually a nominal output, say Diameter )

 –  S/N Ratio  = 10 Log10 ( 2 / 2

 )

Taguchi’s SN Ratio Quality Characteristics approaching IDEAL value 

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•  Reword  the SN-Ratio for smaller-the-better to

indicate „the approach to IDEAL value‟

by saying  

“Smaller -the-difference-from-IDEAL-the- better” 

• Taguchi’s SN-Ratio for smaller-the-better is now modified( for quality characteristics approaching IDEAL output )

 –  S/N Ratio  = –  10 Log10 [ 1/n  (YIDEAL- Yi )2 ]

Taguchi’s SN Ratio Quality Characteristics approaching IDEAL value 

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• If our nominal values are far away from IDEAL value 

 –  SN-Ratio for LARGER-THE-BETTER  will give good

additivity (prediction and results will match well)

• If our nominal values are already close to IDEAL value 

 –  SN-Ratio for  smaller-the-better (the modified form) 

will give good additivity (prediction and results will match

well)

 = –  10 Log10 [ 1/n  (YIDEAL- Yi )2 ] 

Taguchi’s SN Ratio Quality Characteristics approaching IDEAL value 

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• SN-Ratio for LARGER-THE-BETTER  tends to predict optimistic (LARGER) values

 –  Sometimes the value exceeds maximum possible value !? 

• SN-Ratio for  smaller-the-better

(the modified form) always predicts values

 pessimistically (LESS than ideal value)

TRY BOTH, Select one with less ANOVA error

Taguchi’s SN Ratio Quality Characteristics approaching IDEAL value 

Friday, 18th

 May 2001

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More Tips  Links below

16. Taguchi Method

1st Priority : Va r iance R eduction

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. Taguchi Method

Why/When is Taguchi  Method not Appropriate?

Friday, 3rd Aug 2001 

Friday, 27th July 2001 

Friday, 20th July 2001 

Friday, 13th July 2001 

Tips 12, 11, 10   

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More Tips  Links below

12. Taguchi Method

“inner” L8 array with

“outer” L4 and L9 NoIsE arrays 

11. Taguchi Method

Useful at ALL Life-stages  of a Process or

Product 

10. Taguchi Method

Performs Process “centering” or “fine tuning” 

Friday, 6th July 2001 

Friday, 29th June 2001 

Friday, 22nd June 2001 

Tips 9, 8, 7   

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More Tips  Links below

9. Taguchi Method

 Identifies the “right”   NoIsE  factor(s)for Tolerance Design  

8. Taguchi Method

F inds best settings to optimize  

TWO  quali ty character isticsSimultaneously  

7. Taguchi MethodWhen 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   

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More Tips  Links below

6. Taguchi Method Using Orthog onal Arrays fo r Generat ing

Balanced Com binat ions o f NoIsE Factors

5. Taguchi Method Signal-to-Noise Rat io for Qual i ty

Character ist ics  

approaching IDEAL value

4. Taguchi Method improves " quality “ at all the life stages

at  the design stage itself  

Friday, 25th May 2001 

Friday, 18th May 2001 

Friday, 11th May 2001 

Tips 3, 2, 1   

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More Tips  Links below

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 

Friday, 4th May 2001 

Friday, 27th April 2001

Friday, 6th

 April 2001

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