TA Algorithm to find a lean design Runs n=36, Factors s=21. Initial Design: 1 1 1 1 1 1 1 1 1 2 2 3 3 2 2 3 3 2 2 3 3 2 2 2 1 1 1 2 1 2 2 2 3 3 3 3 2 2 3 3 2 2 1 2 1 2 2 2 2 1 1 3 3 2 2 2 2 3 3 3 3 2 2 2 1 2 2 2 1 2 1 1 3 3 2 2 3 3 2 2 2 2 3 3 1 1 1 2 1 1 2 2 2 2 3 2 3 3 1 3 1 1 2 1 2 2 2 1 1 2 1 1 2 1 2 3 2 3 1 3 1 3 2 1 2 1 1 2 2 1 1 2 2 2 1 3 2 3 2 3 1 3 1 2 1 2 1 2 1 2 2 1 2 1 2 1 3 2 3 2 1 3 1 3 1 2 1 2 1 1 2 1 2 2 1 1 2 2 3 3 2 1 2 2 1 3 1 1 3 2 2 1 2 1 2 1 1 2 2 3 3 2 2 1 1 2 1 3 3 1 1 2 2 2 2 1 1 2 2 3 2 2 3 1 2 2 1 1 3 3 1 2 1 1 1 2 2 2 2 2 3 2 2 3 2 1 1 2 3 1 1 3 1 1 1 1 1 1 1 1 1 3 3 1 1 3 3 1 1 3 3 1 1 2 2 2 1 1 1 2 1 2 3 3 1 1 1 1 3 3 1 1 3 3 1 2 1 2 2 2 2 1 1 1 1 3 3 3 3 1 1 1 1 3 3 2 1 2 2 2 1 2 1 1 1 1 3 3 1 1 3 3 3 3 1 1 1 1 1 2 1 1 2 2 2 3 1 3 1 1 2 1 2 2 3 2 3 2 2 1 1 2 1 1 2 1 3 1 3 1 2 1 2 1 3 2 3 2 1 2 2 1 1 2 2 2 1 1 3 1 3 1 2 1 2 3 2 3 2 2 1 2 2 1 2 1 2 1 1 3 1 3 2 1 2 1 2 3 2 3 1 1 2 1 2 2 1 1 2 3 1 1 3 2 3 3 2 1 2 2 1 2 2 1 2 1 2 1 1 2 3 1 1 3 3 2 2 3 2 1 1 2 1 2 2 2 2 1 1 2 2 1 3 3 1 2 3 3 2 2 1 1 2 2 1 1 1 2 2 2 2 2 1 3 3 1 3 2 2 3 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 2 2 1 1 2 2 2 2 2 1 1 1 2 1 2 1 1 2 2 2 2 1 1 2 2 1 1 1 2 1 2 2 2 2 1 1 2 2 1 1 1 1 2 2 2 2 1 1 2 1 2 2 2 1 2 1 1 2 2 1 1 2 2 1 1 1 1 2 2 1 1 1 2 1 1 2 2 2 1 2 1 2 2 3 2 3 3 1 3 1 2 2 1 1 2 1 1 2 1 1 2 1 2 3 2 3 2 1 3 1 3 1 2 2 1 1 2 2 2 1 2 1 2 1 2 3 2 3 1 3 1 3 2 1 2 2 1 2 1 2 1 2 1 2 1 3 2 3 2 3 1 3 1 1 1 2 1 2 2 1 1 2 1 2 2 1 3 1 1 3 2 3 3 2 2 2 1 2 1 2 1 1 2 1 2 2 1 1 3 3 1 3 2 2 3 1 2 2 2 2 1 1 2 2 2 1 1 2 3 1 1 3 3 2 2 3 2 1 1 1 2 2 2 2 2 2 1 1 2 1 3 3 1 2 3 3 2 Criterion: maximize Det(X(5)'X(5))*...*Det(X(36)'X(36)) Search Type:(a) - f1(x1) f2(x1), ..., f1(xs) f2(xs) Result Design: 2 2 1 1 2 1 1 2 1 2 3 2 3 1 1 2 3 2 1 3 1 2 1 2 2 2 1 2 1 1 2 1 1 2 2 2 1 2 2 1 1 1 1 2 1 2 2 2 2 1 1 3 2 2 3 2 2 3 2 2 3 3 3 1 2 2 1 1 2 2 2 1 1 3 1 3 1 2 3 2 3 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 2 1 1 2 1 2 2 2 2 1 2 1 2 1 1 2 1 1 2 2 1 3 3 3 2 2 1 3 2 1 1 1 2 2 2 2 2 1 1 3 3 3 1 1 2 2 2 3 2 1 1 2 1 2 2 1 1 2 2 2 3 3 1 3 3 2 1 1 1 2 1 1 1 2 1 1 2 2 2 2 3 2 3 3 2 1 1 1 2 1 3 2 1 2 2 1 2 1 2 1 3 2 3 2 1 2 1 3 1 2 3 1 2 2 2 1 1 1 2 1 2 3 1 1 3 1 3 1 1 3 1 3 3 1 2 2 2 2 1 1 2 2 1 1 3 3 2 2 2 3 1 1 2 3 1 2 2 1 1 2 2 2 1 2 1 2 1 2 3 1 3 1 3 3 2 1 1 2 1 2 2 1 1 2 3 3 1 1 2 1 1 3 2 2 2 3 2 1 1 1 2 2 2 2 2 2 2 1 1 1 2 2 3 3 3 1 3 2 2 2 1 1 1 2 1 2 1 2 2 1 2 1 2 2 1 2 1 1 1 2 1 2 2 2 2 1 1 1 3 3 1 3 3 1 3 3 1 1 1 2 1 2 2 1 2 1 2 1 1 3 1 3 2 3 2 1 2 3 1 2 2 2 1 1 2 1 1 2 1 1 2 1 2 3 3 1 2 1 3 2 3 1 1 1 1 1 1 1 1 1 2 3 3 2 2 3 2 2 3 2 3 3 2 1 1 1 2 2 2 2 2 3 3 2 2 2 3 3 1 1 1 2 1 1 1 1 2 1 1 2 2 2 1 2 1 2 2 1 3 3 3 1 3 2 2 1 2 2 1 2 1 2 1 2 1 2 1 3 1 3 2 3 1 2 3 2 1 2 2 2 1 2 1 1 3 2 2 3 3 3 2 3 3 2 2 2 1 2 1 2 2 2 2 1 1 2 1 1 2 1 1 2 1 1 2 2 2 1 1 1 2 1 1 2 2 2 3 1 3 1 1 3 2 2 2 3 2 1 1 2 2 2 2 1 1 2 2 3 3 2 2 1 1 1 2 3 3 1 2 1 2 2 1 1 2 2 2 1 3 2 3 2 3 1 2 1 2 1 1 3 2 1 2 2 2 1 2 1 1 1 3 3 1 1 1 3 1 1 3 3 3 1 2 2 2 2 1 1 2 2 2 2 1 1 3 3 3 1 2 2 3 1 2 2 1 1 2 1 1 2 1 3 1 3 1 2 2 3 1 3 2 1 2 2 2 1 2 1 2 1 1 2 2 2 3 3 2 1 1 1 3 3 2 1 1 1 2 1 2 2 1 1 2 1 1 2 2 3 2 2 1 3 3 3 1 2 2 1 2 1 2 1 1 2 3 3 1 1 3 2 2 2 1 1 3 2 1 1 1 1 1 1 1 1 1 3 1 1 3 3 1 3 3 1 3 1 1 2 2 2 1 1 1 2 1 2 2 3 3 2 3 2 3 3 2 3 2 2 Runs Permutation: 6 28 3 19 25 34 24 9 5 8 14 23 31 21 36 26 15 20 30 1 12 29 32 4 27 17 11 7 16 35 18 10 33 22 13 2 Factors Permutation: 1 2 3 4 5 6 7 8 9 10 13 12 11 14 21 18 15 20 19 17 16 Max Product Det: 4.8092e-013 ============================================ Expanded Matrix: 1 1 1 -1 -1 1 -1 -1 1 -1 0 2 1 -1 0 2 1 -1 -1 -1 -1 -1 0 2 1 -1 0 2 -1 -1 1 -1 -1 -1 1 1 -1 1 1 1 -1 1 -1 -1 0 2 -1 -1 -1 -1 0 2 0 2 0 2 -1 -1 0 2 0 2 -1 -1 -1 -1 -1 -1 1 -1 1 -1 1 1 1 1 -1 -1 1 -1 0 2 0 2 1 -1 0 2 0 2 1 -1 0 2 0 2 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 0 2 1 -1 0 2 1 -1 0 2 0 2 -1 -1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 2 0 2 -1 -1 -1 -1 0 2 -1 -1 -1 -1 0 2 -1 -1 0 2 0 2 1 1 1 -1 1 -1 1 -1 -1 1 -1 -1 -1 -1 0 2 0 2 -1 -1 1 -1 1 -1 1 -1 0 2 0 2 -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 0 2 0 2 0 2 1 -1 0 2 1 -1 -1 1 -1 1 1 -1 -1 1 0 2 0 2 1 -1 1 -1 -1 -1 1 -1 1 -1 0 2 -1 -1 -1 -1 -1 -1 0 2 1 -1 -1 -1 1 -1 -1 1 1 1 0 2 1 -1 0 2 1 -1 1 -1 0 2 -1 -1 -1 -1 -1 -1 0 2 -1 -1 1 -1 1 1 -1 1 1 -1 1 -1 1 -1 1 -1 0 2 1 -1 0 2 -1 -1 0 2 -1 -1 1 -1 -1 -1 0 2 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 -1 -1 1 -1 1 -1 1 -1 1 1 1 1 -1 -1 1 1 -1 -1 -1 -1 1 -1 1 -1 0 2 0 2 0 2 1 -1 -1 -1 -1 -1 0 2 1 -1 1 -1 1 1 -1 -1 1 1 1 -1 0 2 -1 -1 0 2 -1 -1 0 2 1 -1 -1 -1 1 -1 -1 -1 1 -1 1 -1 0 2 1 -1 -1 1 -1 1 1 -1 -1 1 1 -1 1 -1 -1 -1 -1 -1 0 2 -1 -1 -1 -1 1 -1 0 2 0 2 0 2 1 -1 1 1 -1 -1 -1 1 1 1 1 1 0 2 0 2 -1 -1 -1 -1 -1 -1 0 2 0 2 1 -1 1 -1 1 -1 -1 -1 1 -1 1 1 1 1 -1 -1 -1 1 -1 1 -1 -1 0 2 0 2 -1 -1 0 2 -1 -1 0 2 0 2 -1 -1 0 2 -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 -1 -1 -1 -1 -1 -1 1 1 -1 1 1 -1 1 -1 1 -1 -1 -1 1 -1 -1 -1 1 -1 0 2 1 -1 0 2 -1 -1 0 2 1 -1 -1 -1 0 2 1 1 1 -1 -1 1 -1 -1 1 -1 -1 -1 0 2 -1 -1 0 2 1 -1 1 -1 -1 -1 0 2 -1 -1 1 -1 0 2 1 -1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 2 1 -1 1 -1 0 2 0 2 1 -1 0 2 0 2 1 -1 0 2 1 -1 1 -1 1 1 -1 -1 -1 1 1 1 1 1 1 -1 1 -1 0 2 0 2 0 2 1 -1 1 -1 -1 -1 -1 -1 -1 -1 0 2 -1 -1 1 -1 -1 -1 1 -1 -1 1 1 1 -1 -1 0 2 -1 -1 0 2 0 2 -1 -1 1 -1 1 -1 1 -1 -1 -1 1 -1 0 2 1 1 -1 1 1 -1 1 -1 1 -1 0 2 -1 -1 0 2 -1 -1 1 -1 -1 -1 1 -1 0 2 1 -1 -1 -1 0 2 1 -1 1 1 -1 1 1 1 -1 1 -1 -1 1 -1 0 2 0 2 1 -1 1 -1 1 -1 0 2 1 -1 1 -1 0 2 0 2 0 2 1 -1 1 -1 1 1 1 1 -1 -1 0 2 -1 -1 -1 -1 0 2 -1 -1 -1 -1 0 2 -1 -1 -1 -1 0 2 0 2 0 2 1 -1 -1 -1 1 -1 -1 1 1 1 1 -1 -1 -1 1 -1 -1 -1 -1 -1 1 -1 0 2 0 2 0 2 1 -1 0 2 -1 -1 1 -1 1 1 1 1 -1 -1 1 1 1 -1 1 -1 0 2 0 2 -1 -1 -1 -1 -1 -1 0 2 1 -1 1 -1 -1 -1 0 2 1 -1 1 1 -1 -1 1 1 1 -1 1 -1 0 2 1 -1 0 2 1 -1 -1 -1 0 2 -1 -1 0 2 -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 -1 -1 1 -1 1 -1 1 -1 1 -1 1 1 1 1 -1 -1 1 1 0 2 0 2 -1 -1 -1 -1 1 -1 1 -1 1 -1 -1 -1 0 2 0 2 1 -1 -1 -1 1 1 1 -1 -1 1 -1 -1 1 -1 1 -1 -1 -1 1 -1 -1 -1 0 2 0 2 1 -1 -1 -1 1 -1 0 2 -1 -1 0 2 1 1 1 -1 1 -1 1 -1 -1 1 0 2 0 2 1 -1 1 -1 0 2 -1 -1 -1 -1 -1 -1 1 -1 1 -1 0 2 -1 -1 1 -1 -1 1 -1 1 1 -1 -1 1 -1 -1 -1 -1 0 2 0 2 1 -1 0 2 0 2 -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 0 2 0 2 0 2 -1 -1 -1 -1 1 -1 0 2 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 -1 -1 1 1 1 1 -1 -1 -1 1 -1 1 0 2 1 -1 1 -1 0 2 1 -1 0 2 1 -1 1 -1 0 2 1 -1 0 2 0 2 Det(X'X)^(1/k) - Std EachStd Original --------------------------- Top 5 Left 5 Corner: 0.130675 0.940863 4.704316 Top 6 Left 6 Corner: 0.150801 0.904806 5.428835 Top 7 Left 7 Corner: 0.170761 0.878201 6.147409 Top 8 Left 8 Corner: 0.192450 0.866025 6.928203 Top 9 Left 9 Corner: 0.198127 0.792506 7.132557 Top 10 Left 10 Corner: 0.232942 0.838593 8.385925 Top 11 Left 11 Corner: 0.266921 0.877262 9.261413 Top 12 Left 12 Corner: 0.310202 0.930605 11.438212 Top 13 Left 13 Corner: 0.319905 0.883726 11.412712 Top 14 Left 14 Corner: 0.321783 0.827820 12.070185 Top 15 Left 15 Corner: 0.326226 0.788989 11.877903 Top 16 Left 16 Corner: 0.335049 0.755396 12.730265 Top 17 Left 17 Corner: 0.377802 0.790897 13.971937 Top 18 Left 18 Corner: 0.371794 0.746549 14.268208 Top 19 Left 19 Corner: 0.390283 0.743184 14.612255 Top 20 Left 20 Corner: 0.415018 0.748067 16.054766 Top 21 Left 21 Corner: 0.447229 0.770520 16.911986 Top 22 Left 22 Corner: 0.467001 0.765605 18.184232 Top 23 Left 23 Corner: 0.483919 0.755174 18.450654 Top 24 Left 24 Corner: 0.487941 0.733231 19.103365 Top 25 Left 25 Corner: 0.527631 0.761776 20.256843 Top 26 Left 26 Corner: 0.550457 0.762812 21.650515 Top 27 Left 27 Corner: 0.581922 0.776789 22.473181 Top 28 Left 28 Corner: 0.615255 0.791829 24.294988 Top 29 Left 29 Corner: 0.649350 0.807121 25.204823 Top 30 Left 30 Corner: 0.680190 0.816842 26.951260 Top 31 Left 31 Corner: 0.716260 0.831804 27.925143 Top 32 Left 32 Corner: 0.753035 0.847722 29.927163 Top 33 Left 33 Corner: 0.801915 0.873913 31.386378 Top 34 Left 34 Corner: 0.843646 0.893443 33.617001 Top 35 Left 34 Corner: 0.918502 0.944915 36.599803 Top 36 Left 34 Corner: 1.000000 1.000000 39.847266 Det Product: 4.809227634832186e-013 0.002013278229773685 1.522328505792163e+038 ============================================ Expanded Matrix for initial design: 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 2 0 2 1 -1 1 -1 0 2 0 2 1 -1 1 -1 0 2 0 2 1 -1 1 -1 1 1 1 1 -1 -1 -1 1 -1 1 0 2 0 2 1 -1 1 -1 1 -1 1 -1 0 2 0 2 1 -1 1 -1 0 2 0 2 1 -1 1 -1 1 1 1 1 -1 -1 1 -1 1 -1 0 2 0 2 0 2 0 2 1 -1 1 -1 1 -1 1 -1 0 2 0 2 1 1 -1 1 1 1 -1 1 -1 -1 1 -1 1 -1 0 2 0 2 1 -1 1 -1 0 2 0 2 0 2 0 2 1 -1 1 -1 1 -1 -1 -1 1 -1 -1 1 1 1 0 2 1 -1 0 2 1 -1 1 -1 -1 -1 1 -1 -1 -1 -1 -1 0 2 -1 -1 0 2 1 1 1 -1 -1 1 -1 -1 1 -1 0 2 1 -1 0 2 1 -1 -1 -1 1 -1 -1 -1 1 -1 0 2 -1 -1 0 2 -1 -1 1 -1 1 1 -1 -1 1 1 1 -1 1 -1 0 2 1 -1 0 2 1 -1 -1 -1 1 -1 -1 -1 0 2 -1 -1 0 2 -1 -1 1 1 -1 1 1 -1 1 -1 1 -1 1 -1 0 2 1 -1 0 2 -1 -1 1 -1 -1 -1 1 -1 -1 -1 0 2 -1 -1 0 2 1 -1 -1 1 -1 1 1 -1 -1 1 0 2 1 -1 1 -1 0 2 -1 -1 0 2 0 2 -1 -1 1 -1 -1 -1 -1 -1 1 -1 1 1 1 -1 1 -1 1 -1 -1 1 0 2 1 -1 1 -1 0 2 0 2 -1 -1 -1 -1 0 2 -1 -1 1 -1 1 -1 -1 -1 1 -1 1 1 1 1 -1 -1 1 1 1 -1 0 2 0 2 1 -1 -1 -1 0 2 0 2 -1 -1 -1 -1 1 -1 1 -1 -1 -1 1 1 -1 -1 -1 1 1 1 1 1 1 -1 0 2 0 2 1 -1 0 2 -1 -1 -1 -1 0 2 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 -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 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 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 -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 -1 -1 -1 -1 0 2 -1 -1 0 2 0 2 1 -1 0 2 1 -1 1 1 1 -1 -1 1 -1 -1 1 -1 1 -1 -1 -1 1 -1 -1 -1 0 2 -1 -1 0 2 -1 -1 1 -1 0 2 1 -1 0 2 1 -1 1 1 -1 -1 1 1 1 -1 -1 -1 1 -1 -1 -1 1 -1 -1 -1 0 2 -1 -1 0 2 1 -1 0 2 1 -1 0 2 1 1 -1 1 1 -1 1 -1 1 -1 -1 -1 1 -1 -1 -1 1 -1 0 2 -1 -1 0 2 -1 -1 0 2 1 -1 0 2 1 -1 1 -1 -1 1 -1 1 1 -1 -1 1 1 -1 -1 -1 -1 -1 1 -1 0 2 1 -1 1 -1 0 2 -1 -1 0 2 0 2 -1 -1 1 1 1 -1 1 -1 1 -1 -1 1 1 -1 -1 -1 -1 -1 1 -1 1 -1 0 2 0 2 1 -1 0 2 -1 -1 -1 -1 0 2 1 -1 1 1 1 1 -1 -1 1 1 -1 -1 1 -1 1 -1 -1 -1 0 2 1 -1 1 -1 0 2 0 2 -1 -1 -1 -1 0 2 1 1 -1 -1 -1 1 1 1 1 1 -1 -1 1 -1 1 -1 -1 -1 1 -1 0 2 0 2 1 -1 -1 -1 0 2 0 2 -1 -1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 2 0 2 -1 -1 -1 -1 0 2 0 2 -1 -1 -1 -1 0 2 0 2 1 1 1 1 -1 -1 -1 1 -1 1 -1 -1 -1 -1 0 2 0 2 0 2 0 2 -1 -1 -1 -1 0 2 0 2 -1 -1 -1 -1 1 -1 1 -1 1 1 1 1 -1 -1 0 2 0 2 -1 -1 -1 -1 -1 -1 -1 -1 0 2 0 2 0 2 0 2 -1 -1 -1 -1 1 1 -1 1 1 1 -1 1 -1 -1 0 2 0 2 -1 -1 -1 -1 0 2 0 2 -1 -1 -1 -1 -1 -1 -1 -1 0 2 0 2 1 -1 -1 -1 1 -1 -1 1 1 1 -1 -1 0 2 -1 -1 0 2 0 2 1 -1 0 2 1 -1 1 -1 -1 -1 1 -1 -1 -1 1 1 1 -1 -1 1 -1 -1 1 -1 -1 -1 0 2 -1 -1 0 2 1 -1 0 2 1 -1 0 2 -1 -1 1 -1 -1 -1 1 -1 1 -1 1 1 -1 -1 1 1 1 -1 0 2 -1 -1 0 2 -1 -1 0 2 1 -1 0 2 1 -1 -1 -1 1 -1 -1 -1 1 -1 1 1 -1 1 1 -1 1 -1 1 -1 0 2 -1 -1 0 2 -1 -1 1 -1 0 2 1 -1 0 2 1 -1 -1 -1 1 -1 -1 -1 1 -1 -1 1 -1 1 1 -1 -1 1 -1 -1 0 2 0 2 -1 -1 1 -1 -1 -1 -1 -1 1 -1 0 2 1 -1 1 -1 0 2 1 1 1 -1 1 -1 1 -1 -1 1 -1 -1 0 2 0 2 -1 -1 -1 -1 1 -1 1 -1 -1 -1 1 -1 0 2 0 2 1 -1 1 -1 1 1 1 1 -1 -1 1 1 0 2 -1 -1 -1 -1 0 2 1 -1 -1 -1 -1 -1 1 -1 1 -1 0 2 0 2 1 -1 1 1 -1 -1 -1 1 1 1 1 1 0 2 -1 -1 -1 -1 0 2 -1 -1 1 -1 1 -1 -1 -1 0 2 1 -1 1 -1 0 2 For inital design Det(X'X)^(1/k) - Std EachStd Original --------------------------- Top 5 Left 5 Corner: 0.000000 0.000619 0.000000 Top 6 Left 6 Corner: 0.111111 0.666667 4.000000 Top 7 Left 7 Corner: 0.001042 0.004877 0.000000 Top 8 Left 8 Corner: 0.002254 0.009353 0.000000 Top 9 Left 9 Corner: 0.004807 0.019229 0.000000 Top 10 Left 10 Corner: 0.007752 0.027739 0.000000 Top 11 Left 11 Corner: 0.011214 0.032598 0.000000 Top 12 Left 12 Corner: 0.015711 0.041291 0.000000 Top 13 Left 13 Corner: 0.019425 0.053580 0.000000 Top 14 Left 14 Corner: 0.002217 0.005616 0.000000 Top 15 Left 15 Corner: 0.022972 0.050523 0.000000 Top 16 Left 16 Corner: 0.003707 0.007058 0.000000 Top 17 Left 17 Corner: 0.004651 0.009542 0.000000 Top 18 Left 18 Corner: 0.000857 0.001654 0.000000 Top 19 Left 19 Corner: 0.001249 0.003081 0.000000 Top 20 Left 20 Corner: 0.001686 0.003423 0.000000 Top 21 Left 21 Corner: 0.011351 0.020489 0.000000 Top 22 Left 22 Corner: 0.016027 0.023832 0.000000 Top 23 Left 23 Corner: 0.018864 0.030630 0.000000 Top 24 Left 24 Corner: 0.005193 0.008312 0.000000 Top 25 Left 25 Corner: 0.006884 0.011735 0.000000 Top 26 Left 26 Corner: 0.009607 0.014532 0.000000 Top 27 Left 27 Corner: 0.036865 0.062593 1.538370 Top 28 Left 28 Corner: 0.048126 0.063282 1.761145 Top 29 Left 29 Corner: 0.184688 0.236023 6.932014 Top 30 Left 30 Corner: 0.620145 0.744921 24.572070 Top 31 Left 31 Corner: 0.230728 0.249038 8.627222 Top 32 Left 32 Corner: 0.721109 0.811818 28.658349 Top 33 Left 33 Corner: 0.788055 0.860127 30.843891 Top 34 Left 34 Corner: 0.312706 0.342897 11.498174 Top 35 Left 34 Corner: 0.918502 0.944881 36.599803 Top 36 Left 34 Corner: 1.000000 1.000000 39.847266 Det Product: 0+0i -2.3944e-046+1.4248e-046i 0+0i