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