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\(2^k\) Factorial Design

Factorial designs are designs in which all variables are factors and each combination of levels of the factors are observed. \(2^k\) factorial designs are a special case of factorial designs in which each of the \(k\) factors have exactly 2 levels: high and low which are often encoded as -1 and 1.

Design Parameters

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Design Parameter Explanation

The number of factors in the experiment.
Seed (optional)
If the design is to be randomized, the seed for the random number generator. Use this to ensure repeatability of the randomization.
Factor Labels
A comma seperated list of \(k\) labels for each factor.


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  • Box, G. E. P., Hunter, W. G., and Hunter, S. J. (1972), Statistics for Experimenters, New York: John Wiley & Sons, Inc..