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| Adaptives vollständiges faktorielles Experiment× | Vollfaktorielle Versuchsplanung× | |
|---|---|---|
| Fachgebiet | Versuchsplanung | Versuchsplanung |
| Familie | Process / pipeline | Process / pipeline |
| Entstehungsjahr≠ | 1950s (factorial foundations); adaptive extensions prominent from 1990s onward | 1926 (Fisher's foundational paper); codified by the 1950s–1960s |
| Urheber≠ | Rooted in Box & Hunter factorial design tradition; adaptive extensions formalised by Atkinson, Donev and others in optimal design theory | Ronald A. Fisher |
| Typ | Experimental design | Experimental design |
| Wegweisende Quelle≠ | Atkinson, A., Donev, A., & Tobias, R. (2007). Optimum Experimental Designs, with SAS. Oxford University Press. ISBN: 978-0199296606 | 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 |
| Aliasnamen | adaptive full-factorial design, sequential full factorial experiment, adaptive complete factorial design, dynamic full factorial trial | full factorial design, complete factorial design, 2^k factorial design, FFD |
| Verwandt≠ | 5 | 6 |
| Zusammenfassung≠ | An adaptive full factorial experiment is an experimental design that starts with a complete crossing of all factors and all their levels, then uses interim data to modify subsequent runs — dropping unpromising factor levels, adding new ones, or re-allocating replication — while preserving the full factorial structure within each phase. This integration of full factorial coverage with adaptive decision rules allows researchers to explore all main effects and interactions without committing to a fixed, inefficient run plan before any data are observed. | 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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