If an experiment has 5 factors and no replicates for a 2-level Experimental Design with 16 experimental runs which statement is incorrect?
If an experiment has 5 factors and no replicates for a 2-level Experimental Design with 16 experimental runs which statement is incorrect?
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.
A. The Experimental Design is half-fractional 2^5=32/2=16
A should be the correct answer. Nono28 is right.
My apologies, the question is asking which statement is incorrect and not what is correct. The correct answer is C.
The easy way to remember the answer is that: The question and option-C both mention "5 factors".