مقایسهٔ روش‌ها

	طرح آزمایشی گروه کنترل فاکتوریل	آزمایش عاملی کسری
حوزه	طراحی آزمایش	طراحی آزمایش
خانواده	Process / pipeline	Process / pipeline
سال پیدایش	1926–1935	1945 (Finney); broader development 1950s–1970s by Box, Hunter
پدیدآور	Ronald A. Fisher	D. J. Finney (formal development); foundations in Ronald Fisher's factorial design work
نوع	Experimental design	Quantitative experimental design
منبع بنیادین	Fisher, R. A. (1935). The Design of Experiments. Oliver and Boyd.	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
نام‌های دیگر	factorial controlled experiment, factorial design with control, factorial RCT with control arm, multi-factor controlled experiment	fractional factorial design, FFD, 2^(k-p) design, fractional replication
مرتبط	6	4
خلاصه	A factorial control group experimental design crosses two or more independent variables (factors) in a fully factorial structure while including at least one condition that serves as a no-treatment or standard-treatment control. This allows researchers to simultaneously estimate the main effect of each factor, their interactions, and the size of those effects relative to a meaningful baseline, maximising both causal precision and experimental efficiency.	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.