This is DATAPLOT file DEXPLANS.TEX Index of Design of Experiment Plans 1. Comparative Designs 2. Screening Designs 3. Regression Designs 4. Optimization (Response Surface) Designs -----Comparative Designs-------------------------------------------- INDEX OF COMPARATIVE DESIGNS 1. COMPLETELY RANDOMIZED (none) 2. RANDOMIZED BLOCK (none) 3. LATIN SQUARE, ETC . . . . . . . . . . . . . . . . . . . . . . . . . . . . . INDEX OF LATIN SQUARE AND GRAECO-LATIN SQUARE DESIGNS File Name of Number of Number of Name Design Factors Runs k n - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - LATSQ3.DAT 3-by-3 Latin Square 3 9 LATSQ4.DAT 4-by-4 Latin Square 3 16 GRLATSQ3.DAT 3-by-3 Graeco-Latin Square 4 9 GRLATSQ3.DAT 4-by-4 Graeco-Latin Square 4 16 -----Screening Designs-------------------------------------------- INDEX OF SCREENING DESIGNS 1. 2**K FULL FACTORIAL 2. 2**(K-P) FRACTIONAL FACTORIAL 3. TAGUCHI . . . . . . . . . . . . . . . . . . . . . . . . . . . . . INDEX OF 2**(K-P) ORTHOGONAL EXPERIMENT DESIGNS (ORDERED BY NUMBER OF FACTORS) DESIGN # FACTOR S # LEVELS/FACTOR # RUNS (& FILE NAME) 2TO2.DAT 2 2 4 2TO3M1 3 2 4 2TO3 3 2 8 2TO4M1 4 2 8 2TO4 4 2 16 2TO5M2 5 2 8 2TO5M1 5 2 16 2TO5 5 2 32 2TO6M3 6 2 8 2TO6M2 6 2 16 2TO6M1 6 2 32 2TO6 6 2 64 2TO7M4 7 2 8 2TO7M3 7 2 16 2TO7M2 7 2 32 2TO7M1 7 2 64 2TO7 7 2 128 2TO8M4 8 2 16 2TO8M3 8 2 32 2TO8M2 8 2 64 2TO8M1 8 2 128 2TO9M5 9 2 16 2TO9M4 9 2 32 2TO9M3 9 2 64 2TO9M2 9 2 128 2TO10M6 10 2 16 2TO10M5 10 2 32 2TO10M4 10 2 64 2TO10M3 10 2 128 2TO11M7 11 2 16 2TO11M6 11 2 32 2TO11M5 11 2 64 2TO11M4 11 2 128 2TO15M11 15 2 16 2TO31M26 31 2 32 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . INDEX OF 2**(K-P) ORTHOGONAL EXPERIMENT DESIGNS (ORDERED BY NUMBER OF RUNS) DESIGN # FACTOR S # LEVELS/FACTOR # RUNS (& FILE NAME) 2TO2.DAT 2 2 4 2TO3M1 3 2 4 2TO3 3 2 8 2TO4M1 4 2 8 2TO5M2 5 2 8 2TO6M3 6 2 8 2TO7M4 7 2 8 2TO4 4 2 16 2TO5M1 5 2 16 2TO6M2 6 2 16 2TO7M3 7 2 16 2TO8M4 8 2 16 2TO9M5 9 2 16 2TO10M6 10 2 16 2TO11M7 11 2 16 2TO15M11 15 2 16 2TO5 5 2 32 2TO6M1 6 2 32 2TO7M2 7 2 32 2TO8M3 8 2 32 2TO9M4 9 2 32 2TO10M5 10 2 32 2TO11M6 11 2 32 2TO31M26 31 2 32 2TO6 6 2 64 2TO7M1 7 2 64 2TO8M2 8 2 64 2TO9M3 9 2 64 2TO10M4 10 2 64 2TO11M5 11 2 64 2TO7 7 2 128 2TO8M1 8 2 128 2TO9M2 9 2 128 2TO10M3 10 2 128 2TO11M4 11 2 128 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . INDEX OF MINIMAL-SAMPLE-SIZE RESOLUTION 4 2**(K-P) DESIGNS Index of Minimal-Sample-Size Resolution 4 2**(k-p) Designs How to use this table-- For a given number of factors k, the following table gives the name of the design, the associated minimal number of runs, and the construction technique in order to achieve a design which has resolution 4 or higher. All designs start with the first k-p columns being the full factorial design with n runs. The remaining columns in the design are given by the rightmost entry in the table below. Number of Name of No. of Resol. Factor Factors k 2**(k-p) Runs r Definitions Design n - - - - - - - - - - - - - - - - - - - - - - - - - - - 2 2**2 4 inf. None--a full factorial des. 3 2**3 8 inf. None--a full factorial des. 4 2**(4-1) 8 4 4=123 5 2**(5-1) 16 4 4=12 5=13 6 2**(6-2) 16 4 5=123 6=234 7 2**(7-3) 16 4 5=123 6=234 7=134 8 2**(8-4) 16 4 5=234 6=134 7=123 8=124 9 2**(9-4) 32 4 6=2345 7=1345 8=1245 9=1235 10 2**(10-5) 32 4 6=1234 7=1235 8=1245 9=1345 0=2345 11 2**(11-6) 32 4 6=123 7=234 8=345 9=134 0=145 A=245 12 2**(12-7) 32 4 6=123 7=124 8=125 9=134 0=135 A=145 B=234 13 2**(13-8) 32 4 6=123 7=124 8=125 9=134 0=135 A=145 B=234 C=235 14 2**(14-9) 32 4 6=123 7=124 8=125 9=134 0=135 A=145 B=234 C=235 D=245 15 2**(15-10) 32 4 6=123 7=124 8=125 9=134 0=135 A=145 B=234 C=235 D=245 E=345 16 2**(16-11) 32 4 6=123 7=124 8=125 9=134 0=135 A=145 B=234 C=235 D=245 E=345 F=12345 17 2**(17-11) 64 4 7=123 8=124 9=125 0=126 A=134 B=135 C=136 D=145 E=146 F=156 G=234 18-32 2**(k-p) 64 4 See Box, Hunter & Hunter, p. 412-413. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . INDEX OF TAGUCHI ORTHOGONAL EXPERIMENT DESIGNS ORDERED BY FACTORS, RUNS, LEVELS 1. TAGUCHI ORTHOGONAL DESIGNS (ORDERED BY NUMBER OF FACTORS) DESIGN # FACTOR S # LEVELS/FACTOR # RUNS (& FILE NAME) L4.DAT 3 2 4 L9 4 3 9 L16B 5 4 16 L25 6 5 25 L8 7 2 8 L18 7 6 FOR 1; 3 FOR 6 18 L32B 10 2 FOR 1; 4 FOR 9 32 L12 11 2 12 L50 12 2 FOR 1; 5 FOR 11 50 L27 13 2 FOR 1; 3 FOR 12 27 L16 15 2 16 L64B 21 4 64 L36 22 3 36 L54 26 2 FOR 1; 3 FOR 25 54 L36B 27 2 FOR 15; 3 FOR 12 36 L32 31 2 32 L64 31 2 64 L81 40 3 81 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . INDEX OF TAGUCHI ORTHOGONAL EXPERIMENT DESIGNS (ORDERED BY NUMBER OF RUNS) DESIGN # FACTOR S # LEVELS/FACTOR # RUNS (& FILE NAME) L4.DAT 3 2 4 L8 7 2 8 L9 4 3 9 L12 11 2 12 L16 15 2 16 L16B 5 4 16 L18 7 6 FOR 1; 3 FOR 6 18 L25 6 5 25 L27 13 2 FOR 1; 3 FOR 12 27 L32 31 2 32 L32B 10 2 FOR 1; 4 FOR 9 32 L36 22 3 36 L36B 27 2 FOR 15; 3 FOR 12 36 L50 12 2 FOR 1; 5 FOR 11 50 L54 26 2 FOR 1; 3 FOR 25 54 L64 31 2 64 L64B 21 4 64 L81 40 3 81 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . INDEX OF TAGUCHI ORTHOGONAL EXPERIMENT DESIGNS (ORDERED BY NUMBER OF LEVELS) DESIGN # FACTOR S # LEVELS/FACTOR # RUNS (& FILE NAME) L4.DAT 3 2 4 L8 7 2 8 L12 11 2 12 L16 15 2 16 L32 31 2 32 L64 31 2 64 L9 4 3 9 L36 22 3 36 L81 40 3 81 L16B 5 4 16 L64B 21 4 64 L25 6 5 25 L32B 10 2 FOR 1; 4 FOR 9 32 L50 12 2 FOR 1; 5 FOR 11 50 L27 13 2 FOR 1; 3 FOR 12 27 L54 26 2 FOR 1; 3 FOR 25 54 L36B 27 2 FOR 15; 3 FOR 12 36 L18 7 6 FOR 1; 3 FOR 6 18 -----Regression Designs--------------------------------------- None -----Optimization (Response Surface) Designs---------------------------- INDEX OF OPTIMIZATION (RESPONSE SURFACE) DESIGNS File Name of Number of Number of Name Design Factors Observations k n - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 2TO2WCP.DAT 2**2 design with center point 2 5 STAR2WCP.DAT star design with center point 2 5 CC2.DAT 2-factor composite design 2 10 2TO3WCP.DAT 2**3 design with center point 3 9 STAR3WCP.DAT star design with center point 3 9 CC3.DAT 3-factor composite design 3 18