Full-Factorial Design Technique

In a full-factorial design all combinations of all factors at all levels are evaluated. Typically, the standard engineering practice is to systematically evaluate a grid of points requiring $n_1\times n_2\times n_3\times \dots n_i$ ($i=\#$ factors, $n_i=\#$ levels for factor $i$) design point evaluations. This practice provides extensive information for accurate estimation of factor and interaction effects. However, it is often deemed cost-prohibitive because of the number of analyses required.