مقایسهٔ روش‌ها

	آزمایش عاملی کسری	آزمایش تصادفی کنترل‌شده (RCT)
حوزه	طراحی آزمایش	طراحی آزمایش
خانواده	Process / pipeline	Hypothesis test
سال پیدایش	1945 (Finney); broader development 1950s–1970s by Box, Hunter	1948
پدیدآور	D. J. Finney (formal development); foundations in Ronald Fisher's factorial design work	James Lind (early precursor, 1747); modern formulation: Austin Bradford Hill & Medical Research Council (1948)
نوع	Quantitative experimental design	Interventional comparative study
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	Schulz, K.F., Altman, D.G., Moher, D., for the CONSORT Group (2010). CONSORT 2010 Statement: Updated Guidelines for Reporting Parallel Group Randomised Trials. BMJ, 340, c332.
نام‌های دیگر	fractional factorial design, FFD, 2^(k-p) design, fractional replication	RCT, randomised controlled trial, clinical trial, Randomize Kontrollü Çalışma (RCT) Tasarımı
مرتبط	4	7
خلاصه	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.	A randomized controlled trial (RCT) is the gold standard experimental design in clinical and health research, in which participants are randomly allocated to a treatment group or a control group so that the effect of an intervention can be measured with the highest possible degree of internal validity. The modern parallel-group RCT was formalized by Austin Bradford Hill and the Medical Research Council in their landmark streptomycin trial of 1948, and its reporting is governed today by the CONSORT 2010 guidelines (Schulz et al., 2010).