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

The number of replicates per treatment

Answer

The total number of experimental runs

Answer

The number of response variables

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

To increase the number of experimental runs

Answer

To ensure all factors are tested at the same levels

Answer

To eliminate the need for replication

Question 3

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

Accepted Answer

16

Answer

8

Answer

32

Answer

12

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

Both factors have no individual effect on the response

Answer

The experiment has too many factors to analyze

Answer

Randomization was not properly applied

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 IV

Answer

Resolution V

Answer

Resolution II

Question 6

What is the purpose of center points added to a 2-level factorial design?

Accepted Answer

To detect curvature in the response surface

Answer

To increase the resolution of the design

Answer

To replace the need for replication

Answer

To reduce the total number of runs required