قارن الطرق

	تصميم بوكس-بيهنكن البايزي	التصميم العاملي الكامل
المجال	التصميم التجريبي	التصميم التجريبي
العائلة	Process / pipeline	Hypothesis test
سنة النشأة	1960 (BBD); Bayesian integration ~1990s–2000s	1926
صاحب الطريقة	Box & Behnken (classical BBD, 1960); Bayesian extension developed by multiple authors in response surface literature	R. A. Fisher
النوع	Bayesian response surface experimental design	Parametric factorial experiment
المصدر التأسيسي	Box, G. E. P., & Behnken, D. W. (1960). Some new three level designs for the study of quantitative variables. Technometrics, 2(4), 455–475.	Box, G. E. P., Hunter, J. S., & Hunter, W. G. (2005). Statistics for Experimenters: Design, Innovation, and Discovery (2nd ed.). Wiley. ISBN: 978-0471718130
الأسماء البديلة	Bayesian BBD, Bayesian RSM Box-Behnken, Bayesian three-level design, BBD with Bayesian optimization	factorial experiment, 2^k factorial, full factorial, Faktöriyel Deneme Deseni (Full Factorial, 2^k)
ذات صلة	5	5
الملخص	Bayesian Box-Behnken Design combines the classical Box-Behnken three-level design structure with Bayesian statistical inference to fit and optimize response surface models. It uses mid-edge and center points to efficiently estimate a second-order polynomial response surface while incorporating prior knowledge about model parameters and propagating uncertainty through to predictions and optimal factor settings. The approach is widely applied in engineering process optimization and formulation studies.	A full factorial design is a parametric experimental method in which every combination of factor levels is tested simultaneously, enabling the estimation of all main effects and all interaction effects in a single study. Rooted in R. A. Fisher's foundational work on designed experiments (1926) and systematically developed by Box, Hunter, and Hunter (2005) and Montgomery (2017), the 2^k form tests k two-level factors across 2^k experimental runs and is the benchmark against which all other factorial designs are measured.