手法を比較

	多群間クロスオーバー実験	ラテン方格法およびグレコ・ラテン方格法
分野	実験計画法	実験計画法
系統	Process / pipeline	Hypothesis test
提唱年	Mid-20th century; multi-arm extensions formalized by 1970s–1980s	1935
提唱者	Developed from early crossover trial methodology (Williams 1949; Cochran & Cox 1957)	Ronald A. Fisher
種類	Within-subject experimental design with multiple treatment arms	Parametric blocked ANOVA
原典	Jones, B., & Kenward, M. G. (2003). Design and Analysis of Cross-Over Trials (2nd ed.). Chapman and Hall/CRC. ISBN: 978-1584883869	Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119492443
別名	multi-arm crossover trial, multi-period multi-treatment crossover, CMAT, multi-treatment crossover experiment	Latin Square, Greco-Latin Square, Latin Kare ve Greco-Latin Kare Deseni
関連	5	5
概要	A crossover multi-arm experiment is a within-subject experimental design in which each participant receives three or more treatments (arms) across successive periods, with random assignment to sequence. Because every participant experiences all arms, the design eliminates between-subject variability from treatment comparisons, dramatically increasing statistical power for a given sample size. It is widely used in clinical pharmacology, psychology, agriculture, and behavioral research.	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.