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L1592_Frame_C29  Page 265  Tuesday, December 18, 2001  2:48 PM
                                 Model Matrix for the 2 5−1  Fractional Factorial Experiment on Permeability of Fly Ash Mixtures with the Measured and Log-Transformed Permeabilities
                                    X 1 X 4 X 4 X 5 X 3 X 5 X 3 X 4 X 2 X 5 X 2 X 4 X 2 X 3 X 1 X 5  ln( y)  y  45  35  34  25  24  23  15  14  6.932  1025  −1  −1  1  −1  1  1  −1  1  5.247  190  1  1  1  1  1  1  −1  −1  7.307  1490  1  1  1  −1  −1  −1  1  1  4.654  105  −1  −1  1  1  −1  −1  1  −1  7.265  1430  1  −1  −1  1  1  −1  1  1  6.363  580  −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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