Design of Experiments (DOE): The Full Factorial Tutorial
The Full Factorial design is foundational to the theory of Design of Experiments (DOE). Although it is not the most efficient in terms of time or resources, understanding this design is essential before moving on to more advanced and economical techniques. A full factorial experiment tests every combination of factors at the same number of levels, which allows for all main effects and interactions to be measured directly. In practice, however, full factorial designs can quickly become costly and labor intensive when as the number of factors and levels increases. As a result, this design is only well suited for smaller studies.
In this tutorial, we will walk through a complete example of a full factorial DOE experiment. Using freely available Python libraries, we will generate the design matrix, explore the data, build a regression model, and interpret the results.








