مقایسهٔ روش‌ها

	آزمایش فاکتوریل کامل مسدود شده	آزمایش عاملی کسری
حوزه	طراحی آزمایش	طراحی آزمایش
خانواده	Process / pipeline	Process / pipeline
سال پیدایش	1935 (Fisher); systematized through 20th-century DOE literature	1945 (Finney); broader development 1950s–1970s by Box, Hunter
پدیدآور	R. A. Fisher (blocking principle); full factorial DOE tradition	D. J. Finney (formal development); foundations in Ronald Fisher's factorial design work
نوع	Experimental design	Quantitative experimental design
منبع بنیادین	Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119113478	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	blocked full factorial design, full factorial with blocking, complete factorial blocked design, BFF design	fractional factorial design, FFD, 2^(k-p) design, fractional replication
مرتبط	4	4
خلاصه	A blocked full factorial experiment tests every combination of all factor levels while grouping experimental runs into homogeneous blocks to isolate a known nuisance variable. This design preserves the power to detect all main effects and interactions of the factors of interest while preventing batch-to-batch, day-to-day, or machine-to-machine variability from inflating experimental error.	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.