An experimenter wants to conduct a factorial experiment invo

An experimenter wants to conduct a factorial experiment involving six factors each two levels. She is planning to use an experiment with exactly eight runs.

The recommended generators for this design are D=AB, E=AC, and F= BC True or False

The resolution of this fractional factorial is

1. IV

2.III

3.V

4. None of the above

Solution

An experimenter wants to conduct a factorial experiment involving six factors each two levels. She is planning to use an experiment with exactly eight runs.

The recommended generators for this design are D=AB, E=AC, and F= BC

This is the true statement.

The resolution of this fractional factorial is III because this is an example with 6 factors and we select a 2^6-3 design, or a 1/8th fractional factorial of a 2⁶ design.

In order to select a 1/8 fraction of the full factorial, we will need to choose 3 generators and make sure that the generalized interactions among these three generators are of sufficient size to achieve the higher resolution.

Since N = 2^6-3 = 2³ observations, we start with a basic 2³ design which would be set up using the following framework. First write down the complete factorial for factors A, B, and C. From that we can generate additional factors based on the available interactions, i.e. we will make D = AB, E = AC, and F = BC.