Box-Behnken designs are typically used to estimate the coefficients of a second-degree
polynomial.
The designs either meet, or
approximately meet, the criterion of rotatability (Box and Behnken, 1960). Since Box-Behnken designs do not include any extreme (corner)
point, these designs are particularly useful in cases where the corner
points are either numerically unstable or infeasible. Box-Behnken designs
are available only for three to twenty-one factors (Mee, 2000).
The following figure shows the sample locations for three factors.
