IASSC Certified Lean Six Sigma Black Belt (ICBB) — Question 75

If an experiment has 5 factors and no replicates for a 2-level Experimental Design with 16 experimental runs which statement(s) are correct? (Note: There are 3 correct answers).

Answer options

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

Correct answer: B, C, D

Explanation

Option B is correct because in this design, the Main Effects are indeed confounded with 4-way interactions. Option C is also correct as the design is classified as half-fractional. Option D is correct since the experiment does have 8 runs with the first factor at the high level. Options A and E are incorrect as they misrepresent the relationships and structure of the factors in the experiment.