ABSTRACT
Number of factors Resolution # of runs Generators 3 III 4 C AB~ 4 IV 8 D ABC~ 5 V 16 E ABCD~ III 8 D AB~ E AC~ 6 VI 32 F ABCDE~ IV 16 E ABC~ F BCD~ III 8 D AB~ E AC~ F BC~ 7 VII 64 G ABCDEF~ IV 32 F ABCD~ G ABDE~ IV 16 E ABC~ F BCD~ G ACD~ III 8 D AB~ E AC~ F BC~ G ABC~ 8 V 64 G ABCD~ H ABEF~ IV 32 F ABC~ G ABD~ H BCDE~ IV 16 E BCD~ F ACD~ G ABC~ H ABD~ 9 VI 128 H ACDFG~ J BCEFG~ IV 64 G ABCD~
H ACEF~ J CDEF~ IV 32 F BCDE~ G ACDE~ H ABDE~ J ABCE~ III 16 E ABC~ F BCD~ G ACD~ H ABD~ J ABCD~ 10 V 128 H ABCG~ J ACDE~ K ACDF~ IV 64 G BCDF~ H ACDF~ J ABDE~ K ABCE~ IV 32 F ABCD~ G ABCE~ H ABDE~ J ACDE~ K BCDE~ III 16 E ABC~ F BCD~ G ACD~ H ABD~ J ABCD~ K AB~
Next, an example is given that shows how this table should be used. Consider an experiment with six factors to construct a design ofExample: resolution III. The table shows that eight experimental runs are needed. Hence we will construct a full factorial at two levels with three factors A, B, and C.
