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Factorial designs involve testing several factors at two levels, high and low. In a Full Factorial experiment every possible combination of factors and permutations is tested. If there are n factors there are 2n treatments.
The design matrix shows the combinations for a 22 design
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Treatment
|
A
|
B
|
AB
|
|
1
|
-1
|
-1
|
+1
|
|
2
|
+1
|
-1
|
-1
|
|
3
|
-1
|
+1
|
-1
|
|
4
|
+1
|
+1
|
+1
|
Refer to Fractional Factorial Designs to see how a fractional factorial design is created.
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