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.