ABCDEFGHIJKLMNOPQRSTUVWXYZAA
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2^3 Full Factorial Array (Similar to the Taguchi L8 Orthogonal Array)
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CP5070 DOE Individual blog Case Study 2
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2 levels of 3 factors up to 8 reps = (2^3) x 8 = 64 or less data points; Change only yellow boxes
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Factor Assignment
Response Table (Data)
Quick Calculations
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Main Effects
Interactions (i.e. AxB).
Replicates used to normalize the data
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Run#
Run Order
ABCR1Ave.
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1 1---5.05.0
8 runs were performed, a single time each
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2 3+--30.030.0
The response variable is the amount of pollutant discharge (lb/day)
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3 2-+-6.06.0
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4 6++-33.033.0
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5 4--+4.04.0
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6 5+-+3.03.0
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7 8-++5.05.0
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8 7+++4.04.0
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Reference Key to Factor Selection
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Factor A =
Concentration of Coagulant added, by weight
; B =
Treatment Temperature, °F
; C =
Stirring Speed, RPM
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Confounding Column Information (for alternative factor assignment considerations)
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The Taguchi L8 array is very similar to this arrray but has slightly different columns that confound with each other. This
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array does not have confounding columns. Using the L8 array requires an uderstanding of column confounding.
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Calculating the Significance of Main Effects (Solving for Means)
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Factor A
Runs Where A is + :
30 +33 +3 +4 =70 / 4 = Ave=17.5+
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Runs Where A is - :
5 +6 +4 +5 =20 / 4 = Ave=5.00-
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Total Effect = Difference =
12.50
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Factor B
Runs Where B is + :
6 +33 +5 +4 =48 / 4 = Ave=12+
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Runs Where B is - :
5 +30 +4 +3 =42 / 4 = Ave=10.50-
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Total Effect = Difference =
1.50
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Factor C
Runs Where C is + :
4 +3 +5 +4 =16 / 4 = Ave=4+
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Runs Where C is - :
5 +30 +6 +33 =74 / 4 = Ave=18.50-
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Total Effect = Difference =
-14.50
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