विधियों की तुलना करें

	गुणक बहु-भुजा प्रयोग	फ़ैक्टोरियल प्रयोग
क्षेत्र	प्रयोगात्मक अभिकल्प	प्रयोगात्मक अभिकल्प
परिवार	Process / pipeline	Process / pipeline
उद्भव वर्ष	1926 (factorial basis); multi-arm factorial trials formalized 1980s–1990s	1926–1935
प्रवर्तक	R. A. Fisher (factorial foundations); multi-arm extension established in clinical trial methodology	Ronald A. Fisher
प्रकार	Experimental design	Quantitative experimental design
मौलिक स्रोत	Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119492443	Fisher, R. A. (1935). The Design of Experiments. Oliver and Boyd.
उपनाम	multi-arm factorial trial, factorial multi-arm trial, multi-arm factorial experiment, MAFT	factorial design, factorial ANOVA design, multi-factor experiment, crossed-factor design
संबंधित	6	6
सारांश	A factorial multi-arm experiment simultaneously tests multiple factors (each at two or more levels) by assigning participants to distinct arms that represent unique combinations of those factors. This design efficiently estimates the independent main effects of each factor and their interactions, all within a single study — making it far more informative than running separate one-factor experiments.	A factorial experiment is an experimental design in which two or more independent variables (factors) are manipulated simultaneously, and every combination of their levels is tested. Introduced by Ronald Fisher in the 1920s–1930s, it is the standard approach whenever a researcher needs to detect not only the main effect of each factor but also whether the effect of one factor depends on the level of another — the interaction effect.