مقایسهٔ روش‌ها

	طراحی عاملی کسری 2 به توان (k-p)	طرح مربع لاتین و مربع لاتین-یونانی
حوزه	طراحی آزمایش	طراحی آزمایش
خانواده	Hypothesis test	Hypothesis test
سال پیدایش	1961	1935
پدیدآور	George E. P. Box and J. Stuart Hunter	Ronald A. Fisher
نوع	Screening and economical factorial design	Parametric blocked ANOVA
منبع بنیادین	Box, G.E.P. & Hunter, J.S. (1961). The 2^(k-p) Fractional Factorial Designs. Technometrics, 3(3), 311–351.	Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119492443
نام‌های دیگر	2^k-p design, fractional factorial, screening design, Kesirli Faktöriyel Desen (2^k-p Fractional Factorial)	Latin Square, Greco-Latin Square, Latin Kare ve Greco-Latin Kare Deseni
مرتبط	7	5
خلاصه	The fractional factorial design is an economical experimental strategy that investigates k factors by running only a carefully chosen 1/2^p fraction of the full 2^k factorial experiment. Formalized by George E. P. Box and J. Stuart Hunter in their landmark 1961 Technometrics paper, it exploits the sparsity-of-effects principle — that high-order interactions are typically negligible — to screen many factors with far fewer runs than a complete factorial would require.	The Latin square design is a blocked experimental design that simultaneously controls two independent nuisance factors — the row block and the column block — so that each treatment appears exactly once in every row and every column of an n×n arrangement. Formalised by Ronald A. Fisher in his 1935 monograph The Design of Experiments, the design dramatically reduces experimental error by absorbing variation from two extraneous sources before the treatment effects are estimated.