Lean Six Sigma Black Belt (LSSBB) — Question 10

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

Option C is incorrect because in a half-fractional design, the main effects are typically confounded with higher-order interactions. Options A, B, and D are correct statements regarding the design and its implications on the factor interactions.