方法对比

	析因实验	拉丁方设计与拉丁方-希腊方设计
领域	实验设计	实验设计
方法族	Process / pipeline	Hypothesis test
起源年份	1926–1935	1935
提出者	Ronald A. Fisher	Ronald A. Fisher
类型	Quantitative experimental design	Parametric blocked ANOVA
开创性文献	Fisher, R. A. (1935). The Design of Experiments. Oliver and Boyd.	Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119492443
别名	factorial design, factorial ANOVA design, multi-factor experiment, crossed-factor design	Latin Square, Greco-Latin Square, Latin Kare ve Greco-Latin Kare Deseni
相关	6	5
摘要	A factorial experiment is an experimental design in which two or more independent variables (factors) are manipulated simultaneously, and every combination of their levels is tested. Introduced by Ronald Fisher in the 1920s–1930s, it is the standard approach whenever a researcher needs to detect not only the main effect of each factor but also whether the effect of one factor depends on the level of another — the interaction effect.	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.