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

Question 1

In a 2^3 full factorial design, how many experimental runs are required without replication?

Accepted Answer

8

Answer

A 2^k design requires 2^3 = 8 runs for three factors each at two levels.

Question 2

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

Accepted Answer

To minimize the effect of uncontrolled variables

Answer

Randomization helps ensure that uncontrolled nuisance variables are evenly distributed across experimental conditions, reducing bias.

Question 3

Which term describes the combined effect of two factors that cannot be explained by either factor alone?

Accepted Answer

Interaction effect

Answer

An interaction effect occurs when the impact of one factor depends on the level of another factor.

Question 4

In a fractional factorial design, what is the consequence of using a lower resolution (e.g., Resolution III)?

Accepted Answer

Main effects are confounded with two-factor interactions

Answer

Resolution III designs confound main effects with two-factor interactions, making it impossible to distinguish between them.

Question 5

What does the term 'center point' refer to in a DOE context?

Accepted Answer

A run conducted at the midpoint of all factor levels

Answer

Center points are runs at the midpoint of each factor range, used to detect curvature in the response surface.

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