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| Sensitivitätsanalyse mit Box-Behnken-Design× | Box-Behnken-Design× | |
|---|---|---|
| Fachgebiet | Versuchsplanung | Versuchsplanung |
| Familie | Process / pipeline | Process / pipeline |
| Entstehungsjahr≠ | 1960 (BBD); sensitivity integration formalized 2000s–2010s | 1960 |
| Urheber≠ | Box & Behnken (design, 1960); Saltelli et al. (sensitivity framework, 2000s) | George E. P. Box and Donald W. Behnken |
| Typ≠ | Integrated experimental-design and sensitivity-analysis technique | Response surface design (incomplete three-level factorial) |
| Wegweisende Quelle | Box, G. E. P., & Behnken, D. W. (1960). Some new three level designs for the study of quantitative variables. Technometrics, 2(4), 455–475. DOI ↗ | Box, G. E. P., & Behnken, D. W. (1960). Some new three level designs for the study of quantitative variables. Technometrics, 2(4), 455–475. DOI ↗ |
| Aliasnamen | SA-BBD, Box-Behnken sensitivity analysis, BBD with sensitivity analysis, sensitivity-augmented Box-Behnken design | BBD, Box-Behnken, Box-Behnken RSM design, three-level incomplete factorial design |
| Verwandt≠ | 5 | 3 |
| Zusammenfassung≠ | Sensitivity analysis with Box-Behnken design combines a resource-efficient three-level response surface experiment with a systematic assessment of how much each input factor drives variation in the response. The Box-Behnken design (BBD) fits a second-order polynomial model using fewer runs than a full central composite design, while the overlaid sensitivity analysis quantifies each factor's relative influence — helping engineers and researchers distinguish the vital few drivers from the inconsequential many. | The Box-Behnken design (BBD) is an efficient response surface methodology design that fits a full second-order polynomial model using three levels of each factor. Introduced by Box and Behnken in 1960, it places experimental points at the midpoints of the edges of a hypercube and at the center, avoiding the corner points where all factors are simultaneously at their extreme levels. This structure makes BBD particularly attractive when extreme-level combinations are physically impossible, costly, or unsafe to test. |
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