Plackett-Burman designs are a class of resolution III, 2-level fractional factorial designs that are often used to study main effects. In a resolution III design, main effects are aliased with two-way interactions. Therefore, you should only use these designs when you are willing to assume that 2-way interactions are negligible.
Minitab generates designs for up to 47 factors. Each design is based on the number of runs, from 12 to 48, and is always a multiple of 4. The number of factors must be less than the number of runs. For example, a design with 20 runs allows you to estimate the main effects for up to 19 factors. See Summary of Plackett-Burman Designs.
Minitab displays alias tables only for saturated 16-run designs. For 12-, 20-, and 24-run designs, each main effect gets partially confounded with more than one two-way interaction thereby making the alias structure difficult to determine.
After you create the design, perform the experiment to obtain the response data, and enter the data in the worksheet, you can use Analyze Factorial Design.