Page 477 - Design for Six Sigma a Roadmap for Product Development
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436   Chapter Twelve


                                   –1           1       –1           1
                                                                          25
                     A
                                                                          20
               1
               –1
                                                                          15
                                                                          25
                                          B

                                    1                                     20
                                    –1
                                                                          15
                                                              C






           Figure 12.10 Interaction chart (data means) for shrinkage for Example 12.6.

                        27.5
                                               23.3

               1
                 21.9                 17.3




              B

                      16.1                14.5       Figure 12.11 Cube plot (data
                                                     means)
                                                            for
                                                                 shrinkage
                                                                          for
                                              1      Example 12.6.
                             A
                    21.1          16.3     C
               –1                     –1
                –1                   1
                          A
               If all effects are significant, then the full model of this problem is
                               Y   β 0   β 1 X 1   β 2 X 2   β 3 X 3

                                    β 12 X 1 X 2   β 23 X 2 X 3   β 13 X 1 X 3
                                                                       (12.12)
                                    β 123 X 1 X 2 X 3
             However, since AB and ABC are not significant, we need to estimate only
             the following reduced model:
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