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طراحی عاملی کسری 2 به توان (k-p)×طرح آزمایشی اسپلیت-پلات (Split-Plot Experimental Design)×
حوزهطراحی آزمایشطراحی آزمایش
خانوادهHypothesis testHypothesis test
سال پیدایش19611935
پدیدآورGeorge E. P. Box and J. Stuart HunterFrank Yates
نوعScreening and economical factorial designParametric mixed-model ANOVA
منبع بنیادینBox, G.E.P. & Hunter, J.S. (1961). The 2^(k-p) Fractional Factorial Designs. Technometrics, 3(3), 311–351. link ↗Yates, F. (1935). Complex Experiments. Supplement to the Journal of the Royal Statistical Society, 2(2), 181–247. DOI ↗
نام‌های دیگر2^k-p design, fractional factorial, screening design, Kesirli Faktöriyel Desen (2^k-p Fractional Factorial)split-plot ANOVA, whole-plot sub-plot design, Bölünmüş Parsel Deseni (Split-Plot)
مرتبط76
خلاصهThe 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 split-plot design is a parametric experimental design that applies one factor to large whole plots and a second factor to subdivisions (sub-plots) within each whole plot. It was introduced by Frank Yates in 1935 to handle agricultural experiments where one factor — such as irrigation or tillage method — is difficult or impractical to change frequently, while a second factor can be varied more easily within the same plot.
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ScholarGateمقایسهٔ روش‌ها: Fractional Factorial Design · Split-Plot Design. بازیابی‌شده در 2026-06-15 از https://scholargate.app/fa/compare