方法对比

	交叉全因子实验	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	Mid-to-late 20th century (crossover trials formalised ~1960s–1980s; full factorial DoE from Fisher ~1935)	1935
提出者	Developed within the design-of-experiments tradition (R. A. Fisher and successors); crossover adaptation formalised by B. Jones and M. G. Kenward	Ronald A. Fisher
类型	Within-subject full factorial experimental design	Parametric blocked ANOVA
开创性文献	Jones, B., & Kenward, M. G. (2003). Design and Analysis of Cross-Over Trials (2nd ed.). Chapman and Hall/CRC. ISBN: 978-1584883429	Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119492443
别名	within-subject full factorial design, repeated-measures full factorial experiment, crossover factorial trial, full factorial crossover design	Latin Square, Greco-Latin Square, Latin Kare ve Greco-Latin Kare Deseni
相关	6	5
摘要	A crossover full factorial experiment combines the efficiency of a crossover (within-subject) design with the comprehensiveness of a full factorial design. Every participant receives all combinations of the factor levels across successive treatment periods, separated by washout intervals, allowing complete estimation of all main effects and interactions while using each participant as their own control.	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.