विधियों की तुलना करें

	कारक नियंत्रण समूह प्रायोगिक डिज़ाइन	आंशिक गुणनखंड प्रयोग
क्षेत्र	प्रयोगात्मक अभिकल्प	प्रयोगात्मक अभिकल्प
परिवार	Process / pipeline	Process / pipeline
उद्भव वर्ष	1926–1935	1945 (Finney); broader development 1950s–1970s by Box, Hunter
प्रवर्तक	Ronald A. Fisher	D. J. Finney (formal development); foundations in Ronald Fisher's factorial design work
प्रकार	Experimental design	Quantitative experimental design
मौलिक स्रोत	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
उपनाम	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
संबंधित	6	4
सारांश	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.