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ICBB Exam - Question 4


If an experiment has 5 factors and no replicates for a 2-level Experimental Design with 16 experimental runs which statement is incorrect?

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Correct Answer: D

In a 2-level factorial design with 5 factors, the total number of possible combinations is 2^5 = 32. If the design is using 16 experimental runs, it indicates a half-fractional factorial design. Therefore, Statement A is correct. Main effects in half-fractional designs are typically confounded with higher-order interactions depending on the design, so Statement B and C can be correct under such circumstances. However, Statement D is incorrect because, in a half-fractional design, each level of a factor should appear equally often across runs. Hence, it is impossible for 8 experimental runs to have the first factor consistently at the high level without skewing the design balance.

Discussion

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Nono28Option: A
Dec 13, 2021

A. The Experimental Design is half-fractional 2^5=32/2=16

InvisibleBeingOption: A
Jun 8, 2023

A should be the correct answer. Nono28 is right.

InvisibleBeingOption: C
Jun 8, 2023

My apologies, the question is asking which statement is incorrect and not what is correct. The correct answer is C.

InvisibleBeingOption: C
Jun 10, 2023

The easy way to remember the answer is that: The question and option-C both mention "5 factors".