========================= Central Composite Designs ========================= k=3 k=4 k=5 ======== ============== ============== 1 1 1 -1 -1 -1 -1 -1 -1 -1 -1 1 1 1 -1 -1 -1 -1 1 -1 -1 -1 1 -1 1 -1 1 -1 -1 1 -1 -1 -1 1 -1 -1 1 -1 -1 -1 -1 1 1 -1 -1 1 1 1 -1 1 1 -1 1 -1 -1 -1 1 -1 -1 -1 -1 1 -1 -1 1 -1 1 -1 1 -1 1 1 -1 -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 0 1 -1 -1 -1 1 -1 -1 -1 -1 -1 0 0 1 -1 -1 1 1 -1 -1 1 1 0 1 0 1 -1 1 -1 1 -1 1 -1 1 0 -1 0 1 -1 1 1 1 -1 1 1 -1 0 0 1 1 1 -1 -1 1 1 -1 -1 1 0 0 -1 1 1 -1 1 1 1 -1 1 -1 0 0 0 1 1 1 -1 1 1 1 -1 -1 1 1 1 1 1 1 1 1 1 -1 0 0 0 -1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 -1 0 0 0 -1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 -1 0 0 0 -1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 -1 0 0 0 -1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ================== Box-Draper Designs ================== k=3 k=4 k=5 ======== =========== ============== -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 1 -1 -1 1 -1 -1 -1 1 -1 -1 -1 -1 -1 1 -1 -1 1 -1 -1 -1 1 -1 -1 -1 -1 -1 1 -1 -1 1 -1 -1 -1 1 -1 -1 -1 L L -1 -1 -1 1 -1 -1 -1 1 -1 L -1 L -1 -1 L L -1 -1 -1 -1 1 L L -1 -1 L -1 L -1 -1 -1 L L M 1 1 -1 L L -1 -1 -1 L -1 L 1 M 1 L -1 -1 L -1 -1 L L -1 1 1 M L -1 L -1 -1 L -1 -1 L L L -1 -1 -1 L -1 L -1 L = .1925 M 1 1 1 -1 L L -1 -1 M = -.2912 1 M 1 1 L -1 -1 -1 L 1 1 M 1 L -1 -1 L -1 1 1 1 M L -1 L -1 -1 L L -1 -1 -1 L = .4114 M 1 1 1 1 M = -.6502 1 M 1 1 1 1 1 M 1 1 1 1 1 M 1 1 1 1 1 M L = .5335 M = -.8108 ======================= ================================= Small Composite Designs Plackett-Burman Composite Designs ======================= ================================= k=3 k=4 k=4 k=5 ========== ============== ============= =============== -1 -1 -1 -1 -1 -1 1 1 -1 1 -1 1 -1 1 -1 -1 1 1 -1 1 -1 -1 -1 1 1 -1 1 1 1 -1 1 -1 1 -1 1 -1 1 -1 -1 -1 1 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 0 1 1 -1 1 1 1 -1 1 1 1 -1 1 1 -1 0 0 1 -1 1 -1 1 1 1 -1 1 1 1 -1 1 0 1 0 -1 1 1 -1 -1 1 1 1 -1 1 1 1 -1 0 -1 0 1 1 1 1 -1 -1 1 1 -1 -1 1 1 1 0 0 1 1 0 0 0 -1 -1 -1 1 -1 -1 -1 1 1 0 0 -1 -1 0 0 0 1 -1 -1 -1 1 -1 -1 -1 1 0 0 0 0 1 0 0 -1 1 -1 -1 -1 1 -1 -1 -1 0 -1 0 0 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 -1 0 -1 0 0 0 -1 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 -1 0 -1 0 0 0 -1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 -1 0 0 0 -1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 -1 0 0 0 -1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 -1 0 0 0 0 0 ============ Notz Designs ============ k=3 k=4 k=5 ========== ============== ============== -1 -1 -1 1 1 -1 -1 1 1 1 1 1 1 -1 -1 1 -1 1 -1 1 1 1 -1 -1 -1 1 -1 1 -1 -1 1 1 1 -1 1 -1 -1 -1 1 -1 1 1 -1 1 1 -1 -1 1 1 1 -1 -1 1 -1 1 1 -1 1 1 -1 1 -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 0 1 1 -1 1 -1 1 1 1 -1 0 1 0 1 -1 1 1 -1 1 1 -1 1 0 0 1 -1 1 1 1 -1 1 -1 1 1 -1 -1 -1 -1 -1 -1 1 1 1 1 0 0 0 1 -1 -1 -1 -1 0 1 0 0 -1 1 -1 -1 -1 0 0 1 0 -1 -1 1 -1 -1 0 0 0 1 -1 -1 -1 1 -1 -1 -1 -1 -1 1 1 1 0 0 1 1 1 0 1 0 0 0 0 1 1 0 1 1 0 0 1 0 1 0 0 ==================== Hoke Designs for k=3 ==================== D1 D2 D3 ======== ======== ======== -1 -1 -1 -1 -1 -1 0 0 0 1 1 -1 1 1 -1 1 1 -1 1 -1 1 1 -1 1 1 -1 1 -1 1 1 -1 1 1 -1 1 1 1 -1 -1 1 -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 0 -1 0 0 0 -1 -1 0 1 0 0 -1 0 -1 0 -1 0 0 1 0 0 -1 -1 -1 0 D4 D5 D6 D7 ======== ======== ======== ======== -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 1 1 -1 1 1 -1 1 1 -1 1 1 -1 1 -1 1 1 -1 1 1 -1 1 1 -1 1 -1 1 1 -1 1 1 -1 1 1 -1 1 1 1 -1 -1 1 -1 -1 1 -1 -1 1 -1 -1 -1 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 0 1 0 0 -1 0 0 0 -1 -1 0 1 0 0 1 0 0 -1 0 -1 0 -1 0 0 1 0 0 1 0 0 -1 -1 -1 0 -1 0 0 0 -1 -1 1 1 0 1 0 0 0 -1 0 -1 0 -1 1 0 1 0 1 0 0 0 -1 -1 -1 0 0 1 1 0 0 1 ==================== Hoke Designs for k=4 ==================== D1 D2 D3 ============== ============== ============== -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 1 1 1 -1 1 1 1 -1 1 1 1 -1 1 1 -1 1 1 1 -1 1 1 1 -1 1 1 -1 1 1 1 -1 1 1 1 -1 1 1 -1 1 1 1 -1 1 1 1 -1 1 1 1 1 1 -1 -1 1 1 -1 -1 1 1 -1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 -1 1 1 -1 -1 1 1 -1 -1 1 -1 1 1 -1 -1 1 1 -1 -1 1 1 -1 -1 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 0 0 -1 0 0 0 0 -1 -1 -1 0 1 0 0 0 -1 0 0 -1 0 -1 -1 0 0 1 0 0 0 -1 0 -1 -1 0 -1 0 0 0 1 0 0 0 -1 -1 -1 -1 0 D4 D5 D6 D7 ============== ============== ============== ============== -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 1 1 1 -1 1 1 1 -1 1 1 1 -1 1 1 1 -1 1 1 -1 1 1 1 -1 1 1 1 -1 1 1 1 -1 1 1 -1 1 1 1 -1 1 1 1 -1 1 1 1 -1 1 1 -1 1 1 1 -1 1 1 1 -1 1 1 1 -1 1 1 1 1 1 -1 -1 1 1 -1 -1 1 1 -1 -1 1 1 -1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 -1 1 1 -1 -1 1 1 -1 -1 1 1 -1 -1 1 -1 1 1 -1 -1 1 1 -1 -1 1 1 -1 -1 1 1 -1 -1 1 -1 1 -1 1 -1 1 -1 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 0 0 1 0 0 0 -1 0 0 0 0 -1 -1 -1 0 1 0 0 0 1 0 0 0 -1 0 0 -1 0 -1 -1 0 0 1 0 0 0 1 0 0 0 -1 0 -1 -1 0 -1 0 0 0 1 0 0 0 1 0 0 0 -1 -1 -1 -1 0 -1 0 0 0 0 -1 -1 -1 1 1 1 0 1 0 0 0 0 -1 0 0 -1 0 -1 -1 1 1 0 1 0 1 0 0 0 0 -1 0 -1 -1 0 -1 1 0 1 1 0 0 1 0 0 0 0 -1 -1 -1 -1 0 0 1 1 1 0 0 0 1 ==================== Hoke Designs for k=4 ==================== D1 D2 D3 ============== ============== ============== -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 0 1 1 1 1 -1 1 1 1 1 -1 1 1 1 1 -1 1 1 1 -1 1 1 1 1 -1 1 1 1 1 -1 1 1 1 -1 1 1 1 1 -1 1 1 1 1 -1 1 1 1 -1 1 1 1 1 -1 1 1 1 1 -1 1 1 1 -1 1 1 1 1 -1 1 1 1 1 -1 1 1 1 1 1 1 -1 -1 -1 1 1 -1 -1 -1 1 1 -1 -1 -1 1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 1 -1 -1 -1 1 1 -1 -1 -1 1 1 -1 -1 -1 1 -1 1 1 -1 -1 -1 1 1 -1 -1 -1 1 1 -1 -1 -1 1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 -1 1 1 -1 -1 -1 1 1 -1 -1 -1 1 1 -1 -1 -1 1 -1 1 -1 -1 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 0 0 0 -1 0 0 0 0 0 -1 -1 -1 -1 0 1 0 0 0 0 -1 0 0 0 -1 0 -1 -1 -1 0 0 1 0 0 0 0 -1 0 0 -1 -1 0 -1 -1 0 0 0 1 0 0 0 0 -1 0 -1 -1 -1 0 -1 0 0 0 0 1 0 0 0 0 -1 -1 -1 -1 -1 0 D4 D5 D6 D7 ============== ============== ============== ============== -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 0 0 0 1 1 1 1 -1 1 1 1 1 -1 1 1 1 1 -1 1 1 1 1 -1 1 1 1 -1 1 1 1 1 -1 1 1 1 1 -1 1 1 1 1 -1 1 1 1 -1 1 1 1 1 -1 1 1 1 1 -1 1 1 1 1 -1 1 1 1 -1 1 1 1 1 -1 1 1 1 1 -1 1 1 1 1 -1 1 1 1 -1 1 1 1 1 -1 1 1 1 1 -1 1 1 1 1 -1 1 1 1 1 1 1 -1 -1 -1 1 1 -1 -1 -1 1 1 -1 -1 -1 1 1 -1 -1 -1 1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 1 -1 -1 -1 1 1 -1 -1 -1 1 1 -1 -1 -1 1 1 -1 -1 -1 1 -1 1 1 -1 -1 -1 1 1 -1 -1 -1 1 1 -1 -1 -1 1 1 -1 -1 -1 1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 -1 1 1 -1 -1 -1 1 1 -1 -1 -1 1 1 -1 -1 -1 1 1 -1 -1 -1 1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 1 -1 -1 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 0 0 0 1 0 0 0 0 -1 0 0 0 0 0 -1 -1 -1 -1 0 1 0 0 0 0 1 0 0 0 0 -1 0 0 0 -1 0 -1 -1 -1 0 0 1 0 0 0 0 1 0 0 0 0 -1 0 0 -1 -1 0 -1 -1 0 0 0 1 0 0 0 0 1 0 0 0 0 -1 0 -1 -1 -1 0 -1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 -1 -1 -1 -1 -1 0 -1 0 0 0 0 0 -1 -1 -1 -1 1 1 1 1 0 1 0 0 0 0 0 -1 0 0 0 -1 0 -1 -1 -1 1 1 1 0 1 0 1 0 0 0 0 0 -1 0 0 -1 -1 0 -1 -1 1 1 0 1 1 0 0 1 0 0 0 0 0 -1 0 -1 -1 -1 0 -1 1 0 1 1 1 0 0 0 1 0 0 0 0 0 -1 -1 -1 -1 -1 0 0 1 1 1 1 0 0 0 0 1 ============== ============ ============== OPTEX OPTEX OPTEX k=3 N=10 k=3 N=11 k=3 N=13 ============== ============ ============== -1.0 -1.0 1.0 -1 -1 -1 -1.0 -1.0 -1.0 -1.0 -0.2 -0.2 -1 -1 1 -1.0 -1.0 0.2 -1.0 1.0 -1.0 -1 1 -1 -1.0 -0.1 1.0 -1.0 1.0 1.0 -1 1 1 -1.0 1.0 -1.0 -0.3 -1.0 -1.0 1 -1 -1 -1.0 1.0 1.0 0.2 -0.2 1.0 1 -1 1 -0.1 -1.0 1.0 0.2 1.0 -0.2 1 1 -1 -0.1 -0.1 -1.0 1.0 -1.0 0.3 1 1 1 -0.1 1.0 0.1 1.0 0.3 -1.0 0 0 1 1.0 -1.0 -1.0 1.0 1.0 1.0 0 1 0 1.0 -1.0 1.0 1 0 0 1.0 -0.1 0.1 1.0 1.0 -1.0 1.0 1.0 1.0 ========== =========== ============== ECHIP ECHIP ECHIP k=3 N=18 k=4 N=15 k=4 N=28 ========== =========== ============== -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 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 -1 1 -1 1 1 1 -1 1 -1 1 -1 1 1 1 -1 -1 1 -1 1 1 -1 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 1 1 -1 1 -1 -1 0 0 -1 1 1 1 1 -1 1 1 1 0 0 1 -1 1 1 1 1 -1 -1 1 0 1 -1 1 -1 -1 0 0 -1 1 -1 0 1 1 1 -1 0 1 0 0 -1 -1 0 -1 -1 0 0 0 0 1 -1 0 -1 0 0 0 0 -1 1 -1 0 -1 -1 0 0 -1 1 -1 0 1 0 -1 -1 0 1 1 0 -1 -1 1 1 1 0 0 -1 -1 1 1 -1 -1 0 -1 -1 0 -1 1 1 1 -1 1 0 1 1 1 1 1 -1 -1 1 0 1 -1 0 1 -1 -1 -1 1 -1 0 -1 0 1 1 -1 1 1 1 -1 -1