This chapter discusses a fractional factorial study to show how, with a minimum number of runs, one can screen all variables. The 24–1 design is an example of a fractional factorial design of resolution IV. In a factorial of resolution IV, the main effects do not mix with two-factor interactions, but these, in turn, are confounded with each other. The notation employed to represent the resolution
... [Show full abstract] of a design is a subscript written in Roman numerals. The generating relations of a design determine its resolution. The number of factors composing the shortest term of these relations is, by definition, the resolution of the design. It is better to use a fractional factorial design to carry out a screening—that is, trying to separate the factors that deserve a more detailed study from those that are negligible. Fractional factorial designs, which allow efficient screening of many variables, are particularly important for industrial laboratories. Any number of factors can be studied, as long as it is not larger than the maximum number allowed by the fractional design.