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全因子实验×区组完全析因实验×
领域实验设计实验设计
方法族Process / pipelineProcess / pipeline
起源年份1926 (Fisher's foundational paper); codified by the 1950s–1960s1935 (Fisher); systematized through 20th-century DOE literature
提出者Ronald A. FisherR. A. Fisher (blocking principle); full factorial DOE tradition
类型Experimental designExperimental design
开创性文献Box, G. E. P., Hunter, J. S., & Hunter, W. G. (2005). Statistics for Experimenters: Design, Innovation, and Discovery (2nd ed.). Wiley-Interscience. ISBN: 978-0471718130Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119113478
别名full factorial design, complete factorial design, 2^k factorial design, FFDblocked full factorial design, full factorial with blocking, complete factorial blocked design, BFF design
相关64
摘要A full factorial experiment runs every possible combination of all chosen factor levels, making it the gold standard for simultaneously estimating main effects, two-way interactions, and higher-order interactions among multiple independent variables. Introduced through Ronald Fisher's foundational work on factorial designs in the 1920s and systematised by Box, Hunter, and Montgomery, it provides complete information about how factors act individually and in combination on an outcome.A blocked full factorial experiment tests every combination of all factor levels while grouping experimental runs into homogeneous blocks to isolate a known nuisance variable. This design preserves the power to detect all main effects and interactions of the factors of interest while preventing batch-to-batch, day-to-day, or machine-to-machine variability from inflating experimental error.
ScholarGate数据集
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ScholarGate方法对比: Full Factorial Experiment · Blocked Full Factorial Experiment. 于 2026-06-19 检索自 https://scholargate.app/zh/compare