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Taguchi’s Orthogonal Array Experiment  485


             Actually, MINITAB will give exactly the same result. The ANOVA table is
             given as follows:
             Analysis of Variance for Porosity, using Adjusted SS for Tests
             Source     DF     Seq SS    Adj SS       Adj MS         F         P
             A           1     855.56    855.56       855.56     28.82     0.001
             B           1      27.56     27.56        27.56      0.93     0.363
             AB          1     115.56    115.56       115.56      3.89     0.084
             D           1      68.06     68.06        68.06      2.29     0.168
             E           1      33.06     33.06        33.06      1.11     0.322
             BD          1     217.56    217.56       217.56      7.33     0.027
             G           1     175.56    175.56       175.56      5.91     0.041
             Error       8     237.50    237.50        29.69
             Total      15    1730.44
             In Taguchi experimental analysis, percentage contributions are often used to
             evaluate the relative importance of each effect. In this example, it is clear that

                 SS T   SS A   SS B   SS AB   SS D   SS E   SS BD   SS G   SS error
             Therefore

                          SS A
                                SS B
                                                  SS error
                                           SS G
                                      ...                 100%
                          SS T  SS T       SS T    SS T
             SS A /SS T 
 100% is the percentage contribution for main effect A and so on.
               The effects which have higher percentage contribution are considered to be
             more influential for the response. For this example, we can obtain Fig. 13.1
             for the percentage contribution.

               A                                                 49.44

            Error             13.72
              BD             12.57
             Factors  G    10.15


              AB        6.68

               D     3.93

               E   1.91
               B   1.59

               0.00     10.00     20.00     30.00    40.00     50.00    60.00
                                      Percentage Contribution
           Figure 13.1 Percentage contribution for SS T .
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