https://doi.org/10.1351/goldbook.10073
Experimental design obtained from a full-factorial design in which experiments are systematically removed to fulfill stated statistical requirements.
Notes:
- The aim of a fractional design is to reduce the number of experiments by confounding low-order effects (e.g. main effect, two-way interaction) with high order interactions, which are assumed to be small.
- A design, having \(L^{k}\) (see full-factorial design) experiments, is fractionated to \(L^{k - p}\) experiments where \(p\) is an integer \(\lt k\).
- The choice of design is governed by an alias structure.
- A fractional-factorial design is incomplete, but all incomplete designs are not fractional factorial.