Full Factorial

 The full factorial algorithm implemented in Rezen can be either a two or three level design.

In a two level design each uncertainty variable (or factor) has a low and a high value assigned to it (also known as -1 and +1).

In a three level design, each variable has a low, mid and high value (-1,0,+1).

The full factorial algorithm generates nlevels nvariables combinations. So a two level design in Rezen will generate 2 nvariables simulation decks. For example, if there are five uncertainty variables then 25 or 32 simulation decks will be created, each with some combination of the low and high variable values.

A three level design will generate 3 nvariables simulation decks. So for five uncertainty variables, 35 or 243 simulation decks will be generated. You can see that as the number of variables increases the number of combinations generated rapidly escalates. For 8 variables with 3 levels, 38 or 6,561 simulation decks would be generated. It is for this reason that other experimental design algorithms such as Placket-Burman, Box-Behnken etc have been developed.