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Learn about the Taguchi Method, including its application, benefits, and limitations. Discover how Taguchi's Signal-to-Noise Ratios can improve the analysis process. Explore different scenarios where Taguchi Method is appropriate and when it may not be suitable.
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Why/When is Taguchi Method Appropriate? Tip #1 Taguchi’s Signal-to-Noise Ratios are in Log form Friday, 6 April 2001
Earlier Tip Taguchi’s Signal-to-Noise Ratios are in Log form Friday, 6 April 2001
Friday, 6-April-2001 Taguchi’s Signal-to-Noise Ratios are in Log form • very important reason • Taking “logarithm” improves ‘additivity’. Why? • Most functions in ‘nature’ follow the power-laws • Y = A exp (-Ea/kT) (EXPONENTIAL) • Y = B Ax . . . . ( a – RAISED – POWER X) • Y = B Xa . . . . ( X – RAISED – POWER a) • On taking logarithm these become ‘additive’ • For example Log10 ( BXa . exp(-Ea/kT) ) = Log10(B) + a. Log10(X) + (-Ea/kT) . Log10(e) • These are ‘additive’ for variables (Log10X) and (1/T)
Friday, 6-April-2001 Taguchi’s Signal-to-Noise Ratios are in Log form • Let us say we are trying reduce ‘defects’ in a process using L9 array • The prediction will be, say, • 7 defects +- a few defects • The prediction error may be high due to errors in individual 9 experiments. Say it is +- 9 • 7 defects +-9 -2 to 17 defects ???????(-2 is problem) • Taguchi’s SN-Ratio for smaller-the-better • = -10 Log10 ( 1/n Yi2 ) • Its range is – infinity to +infinity • Extreme values are = +infinity defects = 0 [average Y2 = 10(-/10)] • = - infinity defects = infinity • Always predicts defects between allowed range of0 to infinity
Taguchi Method 1st Priority : Variance Reduction2nd Priority : Factor Effects 15.“inner” L9 array with “outer” L4 and L9 NoIsE arrays Taguchi Method “inner” L18 array with “outer” L4 and L9 NoIsE arrays Taguchi Method Why/When is TaguchiMethod not Appropriate? Friday, 3rd Aug 2001 Friday, 27th July 2001 Friday, 20th July 2001 Friday, 13th July 2001 More Tips Links below Tips 12, 11, 10
Taguchi Method “inner” L8 array with “outer” L4 and L9 NoIsE arrays Taguchi Method Useful at ALL Life-stages of a Process or Product Taguchi Method Performs Process “centering” or “fine tuning” Friday, 6th July 2001 Friday, 29th June 2001 Friday, 22nd June 2001 More Tips Links below Tips 9, 8, 7
Taguchi Method Identifies the “right”NoIsEfactor(s) for Tolerance Design Taguchi Method Finds best settings to optimizeTWO 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 More Tips Links below Tips 6, 5, 4
Taguchi MethodUsing Orthogonal Arrays for Generating Balanced Combinations of NoIsE Factors Taguchi MethodSignal-to-Noise Ratio for Quality Characteristicsapproaching IDEAL value 4. Taguchi Methodimproves " quality “ at all the life stages atthe design stage itself Friday, 25th May 2001 Friday, 18th May 2001 Friday, 11th May 2001 More Tips Links below Tips 3, 2, 1
3. Taguchi MethodAppropriate forConcurrent Engineering 2. Taguchi Methodcan studyInteraction between Noise Factors and Control Factors 1. Taguchi’sSignal-to-Noise Ratiosare inLog form Friday, 4th May 2001 Friday, 27th April 2001 Friday, 6th April 2001 More Tips Links below