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طراحی عاملی کسری 2 به توان (k-p)×تحلیل واریانس یک‌طرفه×
حوزهطراحی آزمایشآمار
خانوادهHypothesis testHypothesis test
سال پیدایش19611925
پدیدآورGeorge E. P. Box and J. Stuart HunterRonald A. Fisher
نوعScreening and economical factorial designParametric mean comparison
منبع بنیادینBox, G.E.P. & Hunter, J.S. (1961). The 2^(k-p) Fractional Factorial Designs. Technometrics, 3(3), 311–351. link ↗Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗
نام‌های دیگر2^k-p design, fractional factorial, screening design, Kesirli Faktöriyel Desen (2^k-p Fractional Factorial)one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA
مرتبط74
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.One-way ANOVA is a parametric hypothesis test that compares the means of three or more independent groups on a single continuous outcome to decide whether at least one group mean differs. It rests on the variance-partitioning framework introduced by Ronald A. Fisher in 1925.
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ScholarGateمقایسهٔ روش‌ها: Fractional Factorial Design · One-way ANOVA. بازیابی‌شده در 2026-06-18 از https://scholargate.app/fa/compare