SITEMAP ABOUT :: CONTACT
 SIX SIGMA GLOSSARY PROCESS IMPROVEMENT AND SIX SIGMA
 ONLINE COURSES FREE TRIAL SIX SIGMA FAQ BROCHURES LICENSES ENROLL
 GLOSSARY
 :: Online Courses :: Free Trial :: Six Sigma >> Glossary >> Calculators >> Reference Tables >> Book Reviews >> Black Belt ASQ :: FAQ :: Brochures :: Licenses :: Discounts
 Welcome to MiC Quality Six Sigma Resources MiC Quality Online Learning
 :: Home ::Six Sigma ::SIX SIGMA GLOSSARY: Inner and Outer Arrays :: CURRENT STUDENTS LOGIN
Inner and Outer Arrays

Taguchi type experimental designs distinguish between 'noise' factors and 'control' factors. Control factors are put in the 'inner array' and noise factors in the outer array. An example is shown below. The experiment is to find the best values for the three design features in a relief valve: Hole Size, Spring Length and Ball Size. The noise factors are the Oil Temperature and Water Vapor Pressure.

 Outer Array D Oil Temperature 1 2 1 2 E Water Vapor Pressure 1 1 2 2 Inner Array A (hole) B (spring) AB C (ball) AC BC - Treatment 1 2 3 4 5 6 7 S/N Min 1 1 1 1 1 1 1 1 44.9 51.9 52.6 59.9 -34.42 2 1 1 1 2 2 2 2 102.0 113.5 125.0 99.0 -40.86 3 1 2 2 1 1 2 2 47.3 51.3 54.1 61.1 -34.60 4 1 2 2 2 2 1 1 111.0 103.0 104.0 127.5 -40.97 5 2 1 2 1 2 1 2 157.8 157.2 154.3 165.2 -44.01 6 2 1 2 2 1 2 1 188.5 194.0 211.5 197.5 -45.94 7 2 2 1 1 2 2 1 148.6 159.5 198.0 176.7 -44.70 8 2 2 1 2 1 1 2 220.0 198.5 217.5 220.0 -46.62 S/N avg @ 2 -45.31 -41.72 -41.38 -43.59 -42.63 -41.52 -41.52 S/N avg @ 1 -37.71 -41.31 -41.65 -39.43 -40.39 -41.50 -41.51 Δ S/N -7.60 -0.41 0.27 -4.16 -2.24 -0.02 -0.01

The analysis gives the control factor settings that maximize the Signal to Noise Ratio and hence minimize the loss.

 The Design of Experiments is covered in the MiC Quality basic Design of Experiments course and Advanced Design of Experiments course. Try out our courses by taking the first module of the Primer in Statistics free of charge.
[SIX SIGMA GLOSSARY ALPHABETICAL INDEX] [SIX SIGMA GLOSSARY INDEX OF TOPICS] [Top]

MiC Quality Courses
 :: Six Sigma Primer :: Primer in Statistics :: Advanced Statistics :: Statistical Process Control SPC :: Advanced SPC :: Design of Experiments :: Advanced DOE :: Measurement Systems Analysis MSA/ Gage R&R Primer in Statistics FREE First Module "Introduction to Statistics" Primer in Statistics FREE Reference Booklet FREE Excel Primer