IASSC Certified Lean Six Sigma Black Belt (ICBB) — Question 18

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 correct because in a half-fractional design with 5 factors, the main effects are indeed not aliased with one another, but the 2-way interactions can be confounded with 3-way interactions. Option A is true as the design is half-fractional, while Option B is also true since the main effects are confounded with higher interactions. Option D is incorrect because the total number of runs does not support this statement.