مقایسهٔ روش‌ها

	آزمایش فاکتوریل کامل	آزمایش عاملی کسری
حوزه	طراحی آزمایش	طراحی آزمایش
خانواده	Process / pipeline	Process / pipeline
سال پیدایش	1926 (Fisher's foundational paper); codified by the 1950s–1960s	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	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	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	full factorial design, complete factorial design, 2^k factorial design, FFD	fractional factorial design, FFD, 2^(k-p) design, fractional replication
مرتبط	6	4
خلاصه	A full factorial experiment runs every possible combination of all chosen factor levels, making it the gold standard for simultaneously estimating main effects, two-way interactions, and higher-order interactions among multiple independent variables. Introduced through Ronald Fisher's foundational work on factorial designs in the 1920s and systematised by Box, Hunter, and Montgomery, it provides complete information about how factors act individually and in combination on an outcome.	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.