ASQ Certified Six Sigma Black Belt (CSSBB) — Question 19

If an experiment has 5 factors and no replicates for a 2-level Experimental Design with 16 experimental runs which statement is incorrect?

Answer options

• A. The Experimental Design is half-fractional
• B. The Main Effects are confounded with only 4-way interactions
• C. The Main Effects for the 5 factors are not aliased or confounded but the 2-way interactions are confounded with the 3-way interactions
• D. The experiment has 8 experimental runs with the first factor at the high level

Correct answer: C

Explanation

The correct answer is C because in a half-fractional design, the main effects are typically aliased with some interactions. Options A and B are true as they accurately describe the characteristics of a half-fractional design. Option D is misleading since the experiment involves 16 runs, not 8.