方法对比

	交叉前后测实验设计	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	1963 (Campbell & Stanley framework); crossover methodology formalized 1980s–2000s	1935
提出者	Donald T. Campbell & Julian C. Stanley (pretest-posttest framework); Stephen Senn (crossover trial methodology)	Ronald A. Fisher
类型	Within-subjects experimental design	Parametric blocked ANOVA
开创性文献	Senn, S. (2002). Cross-over Trials in Clinical Research (2nd ed.). Wiley. ISBN: 978-0471496533	Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119492443
别名	within-subjects pretest-posttest design, repeated-measures crossover design, AB/BA pretest-posttest design, crossover repeated-measures design	Latin Square, Greco-Latin Square, Latin Kare ve Greco-Latin Kare Deseni
相关	5	5
摘要	A crossover pretest-posttest experimental design is a within-subjects experiment in which each participant receives two or more treatments in a randomized sequence, with outcome measurements taken both before and after each treatment period. By serving as their own control across conditions, participants allow direct intra-individual comparison, dramatically increasing statistical power while reducing the sample size required relative to a parallel-group design.	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.