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حوزهطراحی آزمایشآمار
خانوادهHypothesis testHypothesis test
سال پیدایش19261925
پدیدآورR. A. FisherRonald A. Fisher
نوعParametric factorial experimentParametric mean comparison
منبع بنیادینBox, G. E. P., Hunter, J. S., & Hunter, W. G. (2005). Statistics for Experimenters: Design, Innovation, and Discovery (2nd ed.). Wiley. ISBN: 978-0471718130Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗
نام‌های دیگرfactorial experiment, 2^k factorial, full factorial, Faktöriyel Deneme Deseni (Full Factorial, 2^k)one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA
مرتبط54
خلاصهA full factorial design is a parametric experimental method in which every combination of factor levels is tested simultaneously, enabling the estimation of all main effects and all interaction effects in a single study. Rooted in R. A. Fisher's foundational work on designed experiments (1926) and systematically developed by Box, Hunter, and Hunter (2005) and Montgomery (2017), the 2^k form tests k two-level factors across 2^k experimental runs and is the benchmark against which all other factorial designs are measured.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: Full Factorial Design · One-way ANOVA. بازیابی‌شده در 2026-06-18 از https://scholargate.app/fa/compare