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拉丁方设计与拉丁方-希腊方设计×裂区实验设计×
领域实验设计实验设计
方法族Hypothesis testHypothesis test
起源年份19351935
提出者Ronald A. FisherFrank Yates
类型Parametric blocked ANOVAParametric mixed-model ANOVA
开创性文献Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119492443Yates, F. (1935). Complex Experiments. Supplement to the Journal of the Royal Statistical Society, 2(2), 181–247. DOI ↗
别名Latin Square, Greco-Latin Square, Latin Kare ve Greco-Latin Kare Desenisplit-plot ANOVA, whole-plot sub-plot design, Bölünmüş Parsel Deseni (Split-Plot)
相关56
摘要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.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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ScholarGate方法对比: Latin Square Design · Split-Plot Design. 于 2026-06-15 检索自 https://scholargate.app/zh/compare