Lean Six Sigma Black Belt Certification Lean Six Sigma Black Belt Improve Phase: DOE Questions and Answers 2

Question 1

In a 2^k full factorial design, what does the 'k' represent?

Accepted Answer

The number of factors being studied

Answer

In a 2^k factorial design, k represents the number of factors, each tested at two levels.

Question 2

What is the primary purpose of randomization in a designed experiment?

Accepted Answer

To reduce the effect of lurking variables and bias

Answer

Randomization helps minimize the impact of uncontrolled variables by distributing their effects evenly across treatments.

Question 3

A Black Belt runs a 2^4 full factorial experiment. How many unique treatment combinations exist without replication?

Accepted Answer

16

Answer

A 2^4 design has 2×2×2×2 = 16 unique treatment combinations.

Question 4

What does a significant interaction effect in a DOE indicate?

Accepted Answer

The effect of one factor depends on the level of another factor

Answer

A significant interaction means the combined effect of factors differs from the sum of their individual effects.

Question 5

Which resolution in a fractional factorial design allows estimation of all main effects but confounds them with two-factor interactions?

Accepted Answer

Resolution III

Answer

Resolution III designs confound main effects with two-factor interactions, making them suitable only when interactions are assumed negligible.

Lean Six Sigma Black Belt Certification Practice Test