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L1592_Frame_C29  Page 265  Tuesday, December 18, 2001  2:48 PM



                                      ln( y)  6.932  5.247  7.307  4.654  7.265  6.363  5.858  4.007  7.258  6.016  6.413  3.689  7.948  5.273  6.607  3.807


                                 Model Matrix for the 2 5−1  Fractional Factorial Experiment on Permeability of Fly Ash Mixtures with the Measured and Log-Transformed Permeabilities
                                         1025  1490  1430  1420  2830
                                      y    190  105  580  350  55  410  610  40  195  740  45
                                    X 4 X 5  45  −1  1  1  −1  1  −1  −1  1  −1  1  1  −1  1  −1  −1  1


                                    X 3 X 5  35  −1  1  1  −1  −1  1  1  −1  1  −1  −1  1  1  −1  −1  1


                                    X 3 X 4  34  1  1  1  1  −1  −1  −1  −1  −1  −1  −1  −1  1  1  1  1



                                    X 2 X 5  25  −1  1  −1  1  1  −1  1  −1  1  −1  1  −1  −1  1  −1  1


                                    X 2 X 4  24  1  1  −1  −1  1  1  −1  −1  −1  −1  1  1  −1  −1  1  1


                                    X 2 X 3  23  1  1  −1  −1  −1  −1  1  1  1  1  −1  −1  −1  −1  1  1


                                    X 1 X 5  15  −1  −1  1  1  1  1  −1  −1  1  1  −1  −1  −1  −1  1  1



                                    X 1 X 4  14  1  −1  1  −1  1  −1  1  −1  −1  1  −1  1  −1  1  −1  1


                                    X 1 X 3  13  1  −1  1  −1  −1  1  −1  1  1  −1  1  −1  −1  1  −1  1


                                    X 1 X 2  12  1  −1  −1  1  1  −1  −1  1  1  −1  −1  1  1  −1  −1  1



                                    X 5  5  1  −1  −1  1  −1  1  1  −1  −1  1  1  −1  1  −1  −1  1


                                    X 4  4  −1  −1  −1  −1  −1  −1  −1  −1  1  1  1  1  1  1  1  1


                                    X 3  3  −1  −1  −1  −1  1  1  1  1  −1  −1  −1  −1  1  1  1  1


                                    X 2  2  −1  −1  1  1  −1  −1  1  1  −1  −1  1  1  −1  −1  1  1 The defining relation is I = 12345.



                              TABLE 29.4  X 1  X 0  1  Avg.  −1  1  1  1  −1  1  1  1  −1  1  1  1  −1  1  1  1  −1  1  1  1  −1  1  1  1  −1  1  1  1  −1  1  1  1  Note:





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