Learn how to calculate the number of treatment combinations in a 3 level 3 factor Full Factorial experiment for the IASSC Certified Lean Six Sigma Black Belt (ICBB) Exam. Understand the formula and its application in extrusion machine experiments.
Table of Contents
Question
A Full Factorial experiment using a 3 level 3 factor approach has been proposed to test the viability of an extrusion machine experiment. How many treatment combinations will this approach involve?
A. 6
B. 9
C. 27
D. 54
Answer
C. 27
Explanation
In a Full Factorial experiment, the number of treatment combinations is calculated by raising the number of levels to the power of the number of factors. In this case, with 3 levels and 3 factors, the number of treatment combinations is 3^3, which equals 27.
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