noF= 5 There are 320 main effects designs for 18-run designs with 5 factors. Design plan for Design 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 2 1 3 2 3 2 3 1 3 1 2 1 3 2 2 1 3 1 3 2 1 2 3 2 1 3 2 3 1 2 3 1 3 1 2 2 2 1 3 3 1 3 1 3 2 2 1 1 3 2 1 3 2 Generalised word count: b_k(i,j) (k, i(Lin), j(Quad) : b_k(i,j)) 1 0 1 0 1 1 0 0 2 0 2 0 2 1 1 0 2 2 0 0 3 0 3 0.6875 3 1 2 2.8125 3 2 1 2.3125 3 3 0 0.3542 4 0 4 0.1406 4 1 3 0.9375 4 2 2 1.8438 4 3 1 1.8542 4 4 0 0.3906 5 0 5 0.0703 5 1 4 0.4922 5 2 3 0.2031 5 3 2 0.276 5 4 1 0.1016 5 5 0 0.0234 GMA-aberration A 3 : 6.1667 A 4 : 5.1667 A 5 : 1.1667 beta-aberration B 3 : 0.3542 B 4 : 2.7031 B 5 : 4.6901 B 6 : 2.6328 B 7 : 1.2135 B 8 : 0.3438 B 9 : 0.4922 B 10 : 0.0703 Q second-order : 1.118 Design plan for Design 2 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 3 1 2 2 3 2 3 1 3 1 2 1 2 2 3 1 3 1 2 3 1 3 2 2 3 2 1 1 3 3 1 2 3 2 1 1 2 3 2 1 3 1 3 2 1 3 2 2 3 3 1 1 2 Generalised word count: b_k(i,j) (k, i(Lin), j(Quad) : b_k(i,j)) 1 0 1 0 1 1 0 0 2 0 2 0 2 1 1 0 2 2 0 0 3 0 3 0.5 3 1 2 2.25 3 2 1 2.5 3 3 0 0.4167 4 0 4 0.7031 4 1 3 0.9375 4 2 2 2.2188 4 3 1 2.1042 4 4 0 0.2031 5 0 5 0.0703 5 1 4 0.1172 5 2 3 0.2031 5 3 2 0.151 5 4 1 0.1016 5 5 0 0.0234 GMA-aberration A 3 : 5.6667 A 4 : 6.1667 A 5 : 0.6667 beta-aberration B 3 : 0.4167 B 4 : 2.7031 B 5 : 4.3776 B 6 : 2.8203 B 7 : 1.0885 B 8 : 0.9063 B 9 : 0.1172 B 10 : 0.0703 Q second-order : 1.1368 Design plan for Design 6 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 2 1 3 2 3 2 3 1 3 1 2 1 3 2 2 1 3 1 3 2 1 2 3 2 1 3 2 3 1 2 3 1 3 1 2 1 2 3 2 1 3 2 3 2 1 1 3 3 1 1 3 2 2 Generalised word count: b_k(i,j) (k, i(Lin), j(Quad) : b_k(i,j)) 1 0 1 0 1 1 0 0 2 0 2 0 2 1 1 0 2 2 0 0 3 0 3 0.6875 3 1 2 2.4375 3 2 1 2.5625 3 3 0 0.3125 4 0 4 0.4219 4 1 3 1.125 4 2 2 1.7188 4 3 1 1.75 4 4 0 0.4844 5 0 5 0.0703 5 1 4 0.1172 5 2 3 0.4531 5 3 2 0.2344 5 4 1 0.1016 5 5 0 0.0234 GMA-aberration A 3 : 6 A 4 : 5.5 A 5 : 1 beta-aberration B 3 : 0.3125 B 4 : 3.0469 B 5 : 4.2109 B 6 : 2.5078 B 7 : 1.3594 B 8 : 0.875 B 9 : 0.1172 B 10 : 0.0703 Q second-order : 1.1837 Design plan for Design 7 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 2 1 3 2 3 2 3 1 3 1 2 1 3 2 2 1 3 1 2 3 1 2 3 3 3 2 2 1 1 2 1 1 3 3 2 1 3 2 2 1 3 2 1 3 1 3 2 2 3 1 3 1 2 Generalised word count: b_k(i,j) (k, i(Lin), j(Quad) : b_k(i,j)) 1 0 1 0 1 1 0 0 2 0 2 0 2 1 1 0 2 2 0 0 3 0 3 2 3 1 2 1.5 3 2 1 3 3 3 0 0.1667 4 0 4 0.5625 4 1 3 0 4 2 2 0.375 4 3 1 2.6667 4 4 0 0.5625 5 0 5 0 5 1 4 0 5 2 3 1.5 5 3 2 0.1667 5 4 1 0 5 5 0 0 GMA-aberration A 3 : 6.6667 A 4 : 4.1667 A 5 : 1.6667 beta-aberration B 3 : 0.1667 B 4 : 3.5625 B 5 : 4.1667 B 6 : 2.375 B 7 : 0.1667 B 8 : 2.0625 B 9 : 0 B 10 : 0 Q second-order : 1.1844 Design plan for Design 8 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 2 1 3 2 3 2 3 1 3 1 2 1 3 2 2 1 3 1 3 2 1 2 3 2 1 3 2 3 1 2 3 1 3 1 2 2 1 3 1 2 3 1 3 1 2 2 3 3 2 2 3 1 1 Generalised word count: b_k(i,j) (k, i(Lin), j(Quad) : b_k(i,j)) 1 0 1 0 1 1 0 0 2 0 2 0 2 1 1 0 2 2 0 0 3 0 3 0.5938 3 1 2 2.3438 3 2 1 2.5312 3 3 0 0.5312 4 0 4 0.4219 4 1 3 1.3125 4 2 2 1.7812 4 3 1 1.8125 4 4 0 0.1719 5 0 5 0 5 1 4 0.2813 5 2 3 0.1875 5 3 2 0.375 5 4 1 0.0625 5 5 0 0.0937 GMA-aberration A 3 : 6 A 4 : 5.5 A 5 : 1 beta-aberration B 3 : 0.5312 B 4 : 2.7031 B 5 : 4.25 B 6 : 2.4375 B 7 : 1.6875 B 8 : 0.6094 B 9 : 0.2813 B 10 : 0 Q second-order : 1.2441 Design plan for Design 311 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 3 1 2 2 3 2 3 1 3 1 2 1 2 2 3 1 3 1 3 3 1 2 2 3 1 2 2 3 1 2 2 3 1 1 3 1 3 2 3 2 1 1 2 3 1 2 3 3 2 1 2 1 3 Generalised word count: b_k(i,j) (k, i(Lin), j(Quad) : b_k(i,j)) 1 0 1 0 1 1 0 0 2 0 2 0 2 1 1 0 2 2 0 0 3 0 3 2 3 1 2 0 3 2 1 5 3 3 0 0 4 0 4 0.5625 4 1 3 0 4 2 2 1.875 4 3 1 0 4 4 0 1.0625 5 0 5 0 5 1 4 0 5 2 3 1.75 5 3 2 0 5 4 1 0.25 5 5 0 0 GMA-aberration A 3 : 7 A 4 : 3.5 A 5 : 2 beta-aberration B 3 : 0 B 4 : 6.0625 B 5 : 0 B 6 : 4.125 B 7 : 0 B 8 : 2.3125 B 9 : 0 B 10 : 0 Q second-order : 1.7566 Design plan for Design 320 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 3 1 2 2 3 2 3 1 3 1 2 1 2 2 3 1 3 1 3 2 3 2 1 1 2 3 1 2 3 3 2 1 2 1 3 1 2 1 2 3 3 1 2 3 3 2 1 3 3 2 1 2 1 Generalised word count: b_k(i,j) (k, i(Lin), j(Quad) : b_k(i,j)) 1 0 1 0 1 1 0 0 2 0 2 0 2 1 1 0 2 2 0 0 3 0 3 2 3 1 2 1.5 3 2 1 3 3 3 0 1.5 4 0 4 0.5625 4 1 3 0 4 2 2 0.375 4 3 1 0 4 4 0 0.5625 5 0 5 0 5 1 4 0 5 2 3 1.5 5 3 2 1.5 5 4 1 0 5 5 0 0 GMA-aberration A 3 : 8 A 4 : 1.5 A 5 : 3 beta-aberration B 3 : 1.5 B 4 : 3.5625 B 5 : 1.5 B 6 : 2.375 B 7 : 1.5 B 8 : 2.0625 B 9 : 0 B 10 : 0 Q second-order : 2.5178 ========== noF= 6 There are 440 main effects designs for 18-run designs with 6 factors. Design plan for Design 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 2 1 3 2 3 3 3 1 2 1 2 1 2 2 3 1 3 1 3 2 1 2 3 1 2 3 2 3 1 2 3 1 3 1 2 1 3 2 3 1 2 2 1 3 2 1 3 3 2 1 1 2 3 2 1 1 3 3 2 1 3 3 2 1 2 2 3 1 2 3 1 Generalised word count: b_k(i,j) (k, i(Lin), j(Quad) : b_k(i,j)) 1 0 1 0 1 1 0 0 2 0 2 0 2 1 1 0 2 2 0 0 3 0 3 1.5625 3 1 2 5.0625 3 2 1 4.1875 3 3 0 1.1875 4 0 4 1.2656 4 1 3 2.8125 4 2 2 5.9688 4 3 1 5.5625 4 4 0 0.8906 5 0 5 0.4219 5 1 4 0.7031 5 2 3 2.2188 5 3 2 1.9062 5 4 1 0.6094 5 5 0 0.1406 6 0 6 0.25 6 1 5 0.2813 6 2 4 1.125 6 3 3 1.1875 6 4 2 1.875 6 5 1 0.2812 6 6 0 0 GMA-aberration A 3 : 12 A 4 : 16.5 A 5 : 6 A 6 : 5 beta-aberration B 3 : 1.1875 B 4 : 5.0781 B 5 : 10.7656 B 6 : 8.1406 B 7 : 5 B 8 : 5.3594 B 9 : 1.8906 B 10 : 1.5469 B 11 : 0.2813 B 12 : 0.25 Q second-order : 2.461 Design plan for Design 2 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 2 1 3 2 3 2 3 1 3 1 2 1 3 2 2 1 3 1 3 2 1 2 3 2 1 3 2 3 1 2 3 1 3 1 2 2 1 1 3 3 2 3 1 3 2 1 2 2 3 1 2 3 1 1 2 3 2 1 3 3 3 2 1 1 2 2 1 1 3 3 2 Generalised word count: b_k(i,j) (k, i(Lin), j(Quad) : b_k(i,j)) 1 0 1 0 1 1 0 0 2 0 2 0 2 1 1 0 2 2 0 0 3 0 3 1.375 3 1 2 4.875 3 2 1 4.125 3 3 0 0.9583 4 0 4 1.4063 4 1 3 4.125 4 2 2 5.4375 4 3 1 6.125 4 4 0 1.4062 5 0 5 0 5 1 4 0 5 2 3 3 5 3 2 1 5 4 1 0 5 5 0 0 6 0 6 0.0156 6 1 5 0.8438 6 2 4 1.3594 6 3 3 1.4792 6 4 2 0.9844 6 5 1 0.8437 6 6 0 0.1406 GMA-aberration A 3 : 11.3333 A 4 : 18.5 A 5 : 4 A 6 : 5.6667 beta-aberration B 3 : 0.9583 B 4 : 5.5312 B 5 : 11 B 6 : 6.9531 B 7 : 5.9687 B 8 : 5.3906 B 9 : 1.4792 B 10 : 1.3594 B 11 : 0.8438 B 12 : 0.0156 Q second-order : 2.4337 Design plan for Design 8 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 2 1 3 2 3 2 3 1 3 1 2 1 3 2 2 1 3 1 3 2 1 2 3 2 1 3 2 3 1 2 3 1 3 1 2 2 1 1 3 3 2 3 1 3 2 1 2 2 3 1 2 3 1 1 3 2 3 1 2 2 2 3 1 1 3 3 1 1 2 2 3 Generalised word count: b_k(i,j) (k, i(Lin), j(Quad) : b_k(i,j)) 1 0 1 0 1 1 0 0 2 0 2 0 2 1 1 0 2 2 0 0 3 0 3 1.1875 3 1 2 5.4375 3 2 1 3.5625 3 3 0 1.1458 4 0 4 1.2656 4 1 3 3.9375 4 2 2 6.3438 4 3 1 5.4375 4 4 0 1.5156 5 0 5 0 5 1 4 0.75 5 2 3 1.75 5 3 2 1.25 5 4 1 0.25 5 5 0 0 6 0 6 0.0977 6 1 5 0.6328 6 2 4 1.5273 6 3 3 1.026 6 4 2 1.7148 6 5 1 0.6328 6 6 0 0.0352 GMA-aberration A 3 : 11.3333 A 4 : 18.5 A 5 : 4 A 6 : 5.6667 beta-aberration B 3 : 1.1458 B 4 : 5.0781 B 5 : 10.875 B 6 : 7.8164 B 7 : 5.8203 B 8 : 4.7305 B 9 : 1.776 B 10 : 1.5273 B 11 : 0.6328 B 12 : 0.0977 Q second-order : 2.5458 Design plan for Design 11 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 3 1 2 2 3 2 3 1 3 1 2 1 2 2 3 1 3 1 2 3 1 2 3 2 3 2 1 1 3 3 1 3 2 2 1 1 3 3 2 1 2 2 1 1 3 2 3 2 3 1 2 3 1 1 2 3 2 3 1 1 3 2 1 3 2 2 3 1 3 1 2 Generalised word count: b_k(i,j) (k, i(Lin), j(Quad) : b_k(i,j)) 1 0 1 0 1 1 0 0 2 0 2 0 2 1 1 0 2 2 0 0 3 0 3 1.1875 3 1 2 3.9375 3 2 1 3.5625 3 3 0 1.3125 4 0 4 1.2656 4 1 3 6.1875 4 2 2 7.5938 4 3 1 6.1875 4 4 0 1.2656 5 0 5 0 5 1 4 0 5 2 3 0 5 3 2 0 5 4 1 0 5 5 0 0 6 0 6 0.0977 6 1 5 0.6328 6 2 4 2.0273 6 3 3 1.3594 6 4 2 2.2148 6 5 1 0.6328 6 6 0 0.0352 GMA-aberration A 3 : 10 A 4 : 22.5 A 5 : 0 A 6 : 7 beta-aberration B 3 : 1.3125 B 4 : 4.8281 B 5 : 10.125 B 6 : 8.8164 B 7 : 6.8203 B 8 : 3.4805 B 9 : 1.3594 B 10 : 2.0273 B 11 : 0.6328 B 12 : 0.0977 Q second-order : 2.6081 Design plan for Design 25 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 3 1 2 2 3 2 3 1 3 1 2 1 2 2 3 1 3 1 2 3 1 2 3 2 3 2 1 1 3 3 1 3 2 2 1 1 2 2 3 1 3 3 1 1 2 3 2 3 2 1 3 2 1 1 3 2 3 2 1 1 2 3 1 2 3 3 2 1 2 1 3 Generalised word count: b_k(i,j) (k, i(Lin), j(Quad) : b_k(i,j)) 1 0 1 0 1 1 0 0 2 0 2 0 2 1 1 0 2 2 0 0 3 0 3 1.75 3 1 2 2.25 3 2 1 5.25 3 3 0 0.75 4 0 4 1.6875 4 1 3 4.5 4 2 2 10.125 4 3 1 4.5 4 4 0 1.6875 5 0 5 0 5 1 4 0 5 2 3 0 5 3 2 0 5 4 1 0 5 5 0 0 6 0 6 0.0625 6 1 5 0 6 2 4 3.1875 6 3 3 1.5 6 4 2 1.6875 6 5 1 0 6 6 0 0.5625 GMA-aberration A 3 : 10 A 4 : 22.5 A 5 : 0 A 6 : 7 beta-aberration B 3 : 0.75 B 4 : 6.9375 B 5 : 6.75 B 6 : 12.4375 B 7 : 4.5 B 8 : 3.375 B 9 : 1.5 B 10 : 3.1875 B 11 : 0 B 12 : 0.0625 Q second-order : 2.5851 Design plan for Design 220 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 3 1 2 2 3 2 3 1 3 1 2 1 2 2 3 1 3 1 2 3 1 2 3 2 3 2 1 1 3 3 1 3 2 2 1 1 2 2 3 1 3 3 1 1 2 3 2 3 2 1 3 2 1 1 1 2 3 2 3 2 3 3 2 1 1 2 3 1 1 3 2 Generalised word count: b_k(i,j) (k, i(Lin), j(Quad) : b_k(i,j)) 1 0 1 0 1 1 0 0 2 0 2 0 2 1 1 0 2 2 0 0 3 0 3 2.5 3 1 2 2.25 3 2 1 7.5 3 3 0 0.75 4 0 4 0.8438 4 1 3 3 4 2 2 6.1875 4 3 1 2.25 4 4 0 1.2187 5 0 5 0 5 1 4 1.125 5 2 3 4.5 5 3 2 1.5 5 4 1 1.5 5 5 0 0.375 6 0 6 0.0156 6 1 5 0.7969 6 2 4 0.6563 6 3 3 0.8437 6 4 2 1.0781 6 5 1 0.6094 6 6 0 0 GMA-aberration A 3 : 13 A 4 : 13.5 A 5 : 9 A 6 : 4 beta-aberration B 3 : 0.75 B 4 : 8.7188 B 5 : 4.875 B 6 : 10.1875 B 7 : 5.1094 B 8 : 6.4219 B 9 : 1.9688 B 10 : 0.6563 B 11 : 0.7969 B 12 : 0.0156 Q second-order : 2.8737 Design plan for Design 440 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 3 1 2 2 3 2 3 1 3 1 2 1 2 2 3 1 3 1 3 2 3 2 1 1 2 3 1 2 3 3 2 1 2 1 3 1 2 1 3 2 3 2 1 2 3 3 1 3 3 1 2 2 1 1 2 2 1 3 3 1 3 3 2 1 2 3 2 3 1 2 1 Generalised word count: b_k(i,j) (k, i(Lin), j(Quad) : b_k(i,j)) 1 0 1 0 1 1 0 0 2 0 2 0 2 1 1 0 2 2 0 0 3 0 3 1.75 3 1 2 2.25 3 2 1 5.25 3 3 0 2.0833 4 0 4 1.6875 4 1 3 4.5 4 2 2 10.125 4 3 1 0.5 4 4 0 1.6875 5 0 5 0 5 1 4 0 5 2 3 0 5 3 2 4 5 4 1 0 5 5 0 0 6 0 6 0.0625 6 1 5 0 6 2 4 3.1875 6 3 3 0.1667 6 4 2 1.6875 6 5 1 0 6 6 0 0.5625 GMA-aberration A 3 : 11.3333 A 4 : 18.5 A 5 : 4 A 6 : 5.6667 beta-aberration B 3 : 2.0833 B 4 : 6.9375 B 5 : 2.75 B 6 : 12.4375 B 7 : 8.5 B 8 : 3.375 B 9 : 0.1667 B 10 : 3.1875 B 11 : 0 B 12 : 0.0625 Q second-order : 3.9184 =========== noF= 7 There are 253 main effects designs for 18-run designs with 7 factors. Design plan for Design 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 2 1 3 2 3 2 3 1 3 1 2 1 3 2 2 1 3 1 3 2 1 2 3 2 1 3 2 3 1 2 3 1 3 1 2 2 2 1 3 3 1 3 1 3 2 2 1 1 3 2 1 3 2 2 1 3 1 3 2 2 3 1 2 3 1 1 3 3 2 2 1 1 2 2 3 1 3 3 1 1 2 3 2 3 2 3 1 2 1 Generalised word count: b_k(i,j) (k, i(Lin), j(Quad) : b_k(i,j)) 1 0 1 0 1 1 0 0 2 0 2 0 2 1 1 0 2 2 0 0 3 0 3 2.7813 3 1 2 8.5313 3 2 1 8.5938 3 3 0 2.0937 4 0 4 2.25 4 1 3 7.875 4 2 2 12.375 4 3 1 9.625 4 4 0 2.375 5 0 5 1.125 5 1 4 3.9375 5 2 3 7.875 5 3 2 9 5 4 1 4.5 5 5 0 0.5625 6 0 6 0.8945 6 1 5 3.0703 6 2 4 6.5117 6 3 3 10.4219 6 4 2 7.043 6 5 1 2.8828 6 6 0 0.1758 7 0 7 0.0703 7 1 6 0.4219 7 2 5 0.3984 7 3 4 1.3438 7 4 3 2.4297 7 5 2 0.9844 7 6 1 0.3516 7 7 0 0 GMA-aberration A 3 : 22 A 4 : 34.5 A 5 : 27 A 6 : 31 A 7 : 6 beta-aberration B 3 : 2.0937 B 4 : 10.9687 B 5 : 18.7188 B 6 : 19.832 B 7 : 19.7578 B 8 : 17.5195 B 9 : 15.3437 B 10 : 10.0664 B 11 : 4.4141 B 12 : 1.293 B 13 : 0.4219 B 14 : 0.0703 Q second-order : 4.2828 Design plan for Design 2 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 2 1 3 2 3 3 3 1 2 1 2 1 2 2 3 1 3 1 2 3 3 1 2 1 3 1 2 2 3 2 3 1 2 3 1 2 1 3 1 3 2 3 2 1 2 1 3 3 1 2 3 2 1 1 3 2 1 3 2 2 3 3 1 2 1 1 2 2 3 3 1 1 2 2 3 3 1 2 3 1 2 3 1 3 1 3 1 2 2 Generalised word count: b_k(i,j) (k, i(Lin), j(Quad) : b_k(i,j)) 1 0 1 0 1 1 0 0 2 0 2 0 2 1 1 0 2 2 0 0 3 0 3 2.7813 3 1 2 8.5313 3 2 1 8.5938 3 3 0 2.0937 4 0 4 2.25 4 1 3 7.875 4 2 2 12.375 4 3 1 9.625 4 4 0 2.375 5 0 5 1.125 5 1 4 3.9375 5 2 3 7.875 5 3 2 9 5 4 1 4.5 5 5 0 0.5625 6 0 6 0.8945 6 1 5 3.0703 6 2 4 6.5117 6 3 3 10.4219 6 4 2 7.043 6 5 1 2.8828 6 6 0 0.1758 7 0 7 0.0703 7 1 6 0.4219 7 2 5 0.3984 7 3 4 1.3438 7 4 3 2.4297 7 5 2 0.9844 7 6 1 0.3516 7 7 0 0 GMA-aberration A 3 : 22 A 4 : 34.5 A 5 : 27 A 6 : 31 A 7 : 6 beta-aberration B 3 : 2.0937 B 4 : 10.9687 B 5 : 18.7188 B 6 : 19.832 B 7 : 19.7578 B 8 : 17.5195 B 9 : 15.3437 B 10 : 10.0664 B 11 : 4.4141 B 12 : 1.293 B 13 : 0.4219 B 14 : 0.0703 Q second-order : 4.2828 Design plan for Design 9 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 2 1 3 2 3 2 3 1 3 1 2 1 3 2 2 1 3 1 3 3 1 2 2 1 2 2 3 1 3 2 3 1 2 3 1 1 2 3 2 3 1 3 2 1 3 2 1 3 1 1 2 2 3 1 2 1 3 3 2 3 1 3 2 2 1 2 3 2 1 3 1 2 1 3 1 2 3 3 3 1 2 2 1 1 2 3 2 3 1 Generalised word count: b_k(i,j) (k, i(Lin), j(Quad) : b_k(i,j)) 1 0 1 0 1 1 0 0 2 0 2 0 2 1 1 0 2 2 0 0 3 0 3 3.3438 3 1 2 6.0938 3 2 1 10.7812 3 3 0 1.7812 4 0 4 2.3906 4 1 3 7.6875 4 2 2 14.3438 4 3 1 7.6875 4 4 0 2.3906 5 0 5 0.7031 5 1 4 4.1719 5 2 3 10.0313 5 3 2 6.0937 5 4 1 5.0156 5 5 0 0.9844 6 0 6 0.6133 6 1 5 2.2266 6 2 4 9.1992 6 3 3 6.4219 6 4 2 10.3242 6 5 1 1.4766 6 6 0 0.7383 7 0 7 0.0176 7 1 6 0.2285 7 2 5 1.2598 7 3 4 1.377 7 4 3 1.834 7 5 2 0.9668 7 6 1 0.2637 7 7 0 0.0527 GMA-aberration A 3 : 22 A 4 : 34.5 A 5 : 27 A 6 : 31 A 7 : 6 beta-aberration B 3 : 1.7812 B 4 : 13.1719 B 5 : 14.7656 B 6 : 23.4414 B 7 : 15.3105 B 8 : 23.0098 B 9 : 11.5605 B 10 : 11.7363 B 11 : 3.6035 B 12 : 1.873 B 13 : 0.2285 B 14 : 0.0176 Q second-order : 4.3444 Design plan for Design 27 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 3 1 2 2 3 2 3 1 3 1 2 1 2 2 3 1 3 1 2 3 1 2 3 2 3 2 1 1 3 3 1 3 2 2 1 1 2 2 3 1 3 3 1 1 2 3 2 3 2 1 3 2 1 1 3 2 3 2 1 1 2 3 1 2 3 3 2 1 2 1 3 1 1 2 3 2 3 2 3 3 2 1 1 2 3 1 1 3 2 Generalised word count: b_k(i,j) (k, i(Lin), j(Quad) : b_k(i,j)) 1 0 1 0 1 1 0 0 2 0 2 0 2 1 1 0 2 2 0 0 3 0 3 3.625 3 1 2 5.25 3 2 1 11.625 3 3 0 1.5 4 0 4 2.25 4 1 3 7.5 4 2 2 15.75 4 3 1 6 4 4 0 3 5 0 5 1.125 5 1 4 3 5 2 3 11.25 5 3 2 5.25 5 4 1 5.625 5 5 0 0.75 6 0 6 0.1563 6 1 5 1.9688 6 2 4 11.4375 6 3 3 5.4375 6 4 2 9.2812 6 5 1 1.5937 6 6 0 1.125 7 0 7 0.0703 7 1 6 0.4219 7 2 5 0.7734 7 3 4 1.2188 7 4 3 2.5547 7 5 2 0.6094 7 6 1 0.3516 7 7 0 0 GMA-aberration A 3 : 22 A 4 : 34.5 A 5 : 27 A 6 : 31 A 7 : 6 beta-aberration B 3 : 1.5 B 4 : 14.625 B 5 : 12 B 6 : 26.125 B 7 : 14.3437 B 8 : 23.1328 B 9 : 9.0469 B 10 : 15.1172 B 11 : 3.1875 B 12 : 0.9297 B 13 : 0.4219 B 14 : 0.0703 Q second-order : 4.395 Design plan for Design 253 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 1 2 2 3 3 1 2 1 3 2 3 2 3 1 3 1 2 1 3 2 2 1 3 2 1 3 1 3 2 3 1 2 3 1 2 3 2 1 2 1 3 1 1 2 2 3 3 2 3 3 1 1 2 3 2 3 1 2 1 1 2 1 3 2 3 3 1 2 2 3 1 3 2 1 3 2 1 2 1 3 1 3 2 2 3 1 2 3 1 1 3 2 3 2 1 Generalised word count: b_k(i,j) (k, i(Lin), j(Quad) : b_k(i,j)) 1 0 1 0 1 1 0 0 2 0 2 0 2 1 1 0 2 2 0 0 3 0 3 3.625 3 1 2 7.125 3 2 1 6.875 3 3 0 4.375 4 0 4 2.25 4 1 3 8.25 4 2 2 16 4 3 1 5.25 4 4 0 2.75 5 0 5 1.125 5 1 4 2.625 5 2 3 7.5 5 3 2 13.5 5 4 1 1.875 5 5 0 0.375 6 0 6 0.1563 6 1 5 2.25 6 2 4 8.7813 6 3 3 9.5 6 4 2 5.7187 6 5 1 3.75 6 6 0 0.8437 7 0 7 0.0703 7 1 6 0.6328 7 2 5 1.1328 7 3 4 1.7578 7 4 3 0.8359 7 5 2 1.1484 7 6 1 0.2109 7 7 0 0.2109 GMA-aberration A 3 : 22 A 4 : 34.5 A 5 : 27 A 6 : 31 A 7 : 6 beta-aberration B 3 : 4.375 B 4 : 9.625 B 5 : 12.75 B 6 : 22.3438 B 7 : 25.7109 B 8 : 15.6797 B 9 : 13.2734 B 10 : 10.7422 B 11 : 4.0078 B 12 : 1.2891 B 13 : 0.6328 B 14 : 0.0703 Q second-order : 6.3905