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Full Factorial Experiment — Complete Factorial Experimental Design
A full factorial experiment runs every possible combination of all chosen factor levels, making it the gold standard for simultaneously estimating main effects, two-way interactions, and higher-order interactions among multiple independent variables. Introduced through Ronald Fisher's foundational work on factorial designs in the 1920s and systematised by Box, Hunter, and Montgomery, it provides complete information about how factors act individually and in combination on an outcome.
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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-Interscience. ISBN: 978-0471718130
- Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119492443
Related methods
Referenced by
Adaptive Full Factorial ExperimentBlocked Full Factorial ExperimentCluster Randomized Full Factorial ExperimentCrossover Fractional Factorial ExperimentCrossover Full Factorial ExperimentDouble-blind fractional factorial experimentDouble-blind Full Factorial ExperimentFactorial A/B TestFactorial Control Group Experimental DesignFactorial ExperimentFactorial Field ExperimentFactorial Multi-Arm ExperimentFactorial Pretest-Posttest Experimental DesignFactorial Randomized Controlled TrialFractional Factorial ExperimentPilot Fractional Factorial ExperimentPilot full factorial experimentPragmatic Fractional Factorial ExperimentPragmatic Full Factorial ExperimentSingle-blind Factorial ExperimentSingle-blind Fractional Factorial ExperimentSingle-blind Full Factorial Experiment