方法对比

	拉丁方设计与拉丁方-希腊方设计	交叉设计
领域	实验设计	实验设计
方法族	Hypothesis test	Hypothesis test
起源年份	1935	1960
提出者	Ronald A. Fisher	Early formalized in clinical research literature; widely used since mid-20th century
类型	Parametric blocked ANOVA	Within-subject repeated-measures design
开创性文献	Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119492443	Senn, S. (2002). Cross-over Trials in Clinical Research (2nd ed.). Wiley. ISBN: 978-0471496533
别名	Latin Square, Greco-Latin Square, Latin Kare ve Greco-Latin Kare Deseni	within-subject crossover, cross-over design, AB/BA design, Çapraz Desen (Crossover Design)
相关	5	6
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.	A crossover design is an experimental design in which each participant receives all treatments under investigation, but in a different sequence and across separate time periods. Each subject thus acts as their own control, which substantially reduces between-subject variability and allows efficient treatment comparisons with smaller sample sizes. The approach has been central to clinical pharmacology and comparative research since the mid-20th century, with foundational methodology codified by Senn (2002) and Jones & Kenward (2014).