This is Dataplot file DEXRES4.TEX 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.