3 level factorial design software

Process Improvement 5. Choosing an experimental design 5. How do you select an experimental design? The three-level design is written as a 3 k factorial design. A full factorial design is a design in which researchers measure responses at all combinations of the factor levels. Minitab offers two types of full factorial designs:. The number of runs necessary for a 2-level full factorial design is 2 k where k is the number of factors.

As the number of factors in a 2-level factorial design increases, the number of runs necessary to do a full factorial design increases quickly. For example, a 2-level full factorial design with 6 factors requires 64 runs; a design with 9 factors requires runs.

A half-fraction, fractional factorial design would require only half of those runs. A fractional design is a design in which experimenters conduct only a selected subset or "fraction" of the runs in the full factorial design. Fractional factorial designs are a good choice when resources are limited or the number of factors in the design is large because they use fewer runs than the full factorial designs. A fractional factorial design uses a subset of a full factorial design, so some of the main effects and 2-way interactions are confounded and cannot be separated from the effects of other higher-order interactions.

Usually experimenters are willing to assume the higher-order effects are negligible in order to achieve information about main effects and low-order interactions with fewer runs. In a 2-level full factorial design, each experimental factor has only two levels. The experimental runs include all combinations of these factor levels. You may add up to ten categoric factors to this design. This will cause the number of runs generated to be multiplied by the number of combinations of the categorical factor levels.

In this case, you may prefer an optimal design. Three-level factorial designs may be carried out in blocks. These designs can be run in one block or split into three blocks of equal size. They are hard coded in our design catalog; i. The 7 factor design was not named but its method of construction is also in the paper. The last column does not have the form of a column for a CCD; i.

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