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Fractional Factorial Experiment — Fractional Factorial Experimental Design
A fractional factorial experiment is a resource-efficient experimental design that tests only a carefully chosen fraction of all possible factor-level combinations. By exploiting the principle that high-order interactions are usually negligible, it identifies the main effects and low-order interactions of k factors using far fewer runs than a full factorial design — making it the workhorse of industrial and engineering screening experiments.
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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
- Finney, D. J. (1945). The fractional replication of factorial arrangements. Annals of Eugenics, 12(1), 291–301. DOI: 10.1111/j.1469-1809.1943.tb02333.x ↗
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Adaptive Full Factorial ExperimentBlocked Full Factorial ExperimentCluster Randomized Factorial ExperimentCluster Randomized Fractional Factorial ExperimentCluster Randomized Full Factorial ExperimentCrossover Fractional Factorial ExperimentDouble-blind fractional factorial experimentDouble-blind Full Factorial ExperimentFactorial A/B TestFactorial Control Group Experimental DesignFactorial ExperimentFactorial Field ExperimentFactorial Multi-Arm ExperimentFactorial Randomized Controlled TrialFull Factorial ExperimentPilot Fractional Factorial ExperimentPilot full factorial experimentPragmatic Full Factorial ExperimentSingle-blind Factorial ExperimentSingle-blind Fractional Factorial ExperimentSingle-blind Full Factorial Experiment