IASSC Certified Lean Six Sigma Black Belt (ICBB) — Question 63

A Full Factorial experiment using a 3 level 3 factor approach has been proposed to test the viability of an extrusion machine experiment. How many treatment combinations will this approach involve?

Answer options

• A. 6
• B. 9
• C. 27
• D. 54

Correct answer: C

Explanation

The correct answer is C, as a Full Factorial experiment with 3 factors each at 3 levels results in 3^3, which equals 27 treatment combinations. Options A (6) and B (9) do not account for the combination of all levels across all factors, while D (54) incorrectly suggests an overestimation of the combinations.