Hypothesis test
Full Factorial Experimental Design
A full factorial design is a parametric experimental method in which every combination of factor levels is tested simultaneously, enabling the estimation of all main effects and all interaction effects in a single study. Rooted in R. A. Fisher's foundational work on designed experiments (1926) and systematically developed by Box, Hunter, and Hunter (2005) and Montgomery (2017), the 2^k form tests k two-level factors across 2^k experimental runs and is the benchmark against which all other factorial designs are measured.
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Sources
- Box, G. E. P., Hunter, J. S., & Hunter, W. G. (2005). Statistics for Experimenters: Design, Innovation, and Discovery (2nd ed.). Wiley. ISBN: 978-0471718130
- Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119113478
Related methods
Referenced by
Aligned Rank Transform ANOVABayesian Box-Behnken DesignCompletely Randomized DesignConjoint AnalysisCrossover DesignDose-Response DesignHybrid Box-Behnken DesignLatin Square DesignMixture DesignOptimal Experimental DesignPilot Solomon Four-Group DesignPragmatic A/B TestPragmatic Factorial ExperimentPragmatic Laboratory ExperimentRandomized Controlled TrialResponse Surface MethodologySensitivity analysis with central composite design