1/2 Fraction Factorial Design

Create a 1/2 fraction factorial design for 4 factors and 8 runs using the design generator D =ABC. (The defining relation is I = ABCD.). Present your design as a table showing the coded levels of the 4 factors in standard order.

Construct a table showing the alias structure of the design.

Ans:

Since this is a 1/2 fraction factorial design with 4 factors and 8 runs, it gives us a one half fraction of the 2^4 design. Let’s select D = ABC as the design generator. First of all, 2^(4-1) = 2^3 = 8. So, we will have eight observations in our design. …

The solution gives detailed explaination on buliding a 1/2 fraction factorial design for 4 factors and 8 runs using the design generator D =ABC. Also, a a table showing the alias structure of the design is given for deep understanding.