Factorial design (2^k)

every combination of the factor levels

Runs = 2^k × replicates

A full factorial design tests every combination of the levels of all factors. With k factors at two levels (low and high) it needs 2^k runs: 4 for 2 factors, 8 for 3, 16 for 4 and 32 for 5.

Because the design is balanced and orthogonal, every main effect and interaction can be estimated independently of the others.

Calculate it

DOE: 2-Level Factorial Design: 2^k factorial: run plan, effects, Pareto, interaction plots and best settings.

Related terms

• Design of experiments (DOE): planned trials that change several factors at once
• Fractional factorial design: a planned subset of a full factorial
• Replicate: a complete repeat of the design