方法对比

	全因子实验	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 (Fisher's foundational paper); codified by the 1950s–1960s	1935
提出者	Ronald A. Fisher	Ronald A. Fisher
类型	Experimental design	Parametric blocked ANOVA
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: 978-0471718130	Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119492443
别名	full factorial design, complete factorial design, 2^k factorial design, FFD	Latin Square, Greco-Latin Square, Latin Kare ve Greco-Latin Kare Deseni
相关	6	5
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.	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.