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Factorial Experiment — Factorial Experimental Design
A factorial experiment is an experimental design in which two or more independent variables (factors) are manipulated simultaneously, and every combination of their levels is tested. Introduced by Ronald Fisher in the 1920s–1930s, it is the standard approach whenever a researcher needs to detect not only the main effect of each factor but also whether the effect of one factor depends on the level of another — the interaction effect.
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Sources
- Fisher, R. A. (1935). The Design of Experiments. Oliver and Boyd. link ↗
- Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119320937
Related methods
Referenced by
Adaptive ExperimentAdaptive Solomon Four-Group DesignBlocked Full Factorial ExperimentBlocked Laboratory ExperimentBlocked Pretest-Posttest Experimental DesignBlocked Solomon Four-Group DesignCluster Randomized Factorial ExperimentControl Group Experimental DesignCrossover Factorial ExperimentCrossover Fractional Factorial ExperimentCrossover Full Factorial ExperimentCrossover multi-arm experimentDouble-blind A/B testDouble-blind Control Group Experimental DesignDouble-blind Solomon four-group designFactorial A/B TestFactorial ABA DesignFactorial ABAB DesignFactorial Control Group Experimental DesignFactorial Field ExperimentFactorial Multi-Arm ExperimentFactorial Natural ExperimentFactorial Pretest-Posttest Experimental DesignFactorial Randomized Controlled TrialFactorial Single-Subject Experimental DesignField ExperimentFractional Factorial ExperimentFull Factorial ExperimentLaboratory ExperimentMulti-arm experimentPilot Fractional Factorial ExperimentPilot Multi-Arm ExperimentPretest-Posttest Experimental DesignSingle-blind Factorial ExperimentSingle-blind Fractional Factorial ExperimentSingle-blind Full Factorial ExperimentSingle-blind multi-arm experimentSolomon Four-Group Design