Сравнение методов

	Перекрестное рандомизированное контролируемое исследование	Дизайн Латинского квадрата и Греко-Латинского квадрата
Область	Планирование эксперимента	Планирование эксперимента
Семейство	Process / pipeline	Hypothesis test
Год появления	1960s (Grizzle 1965 for statistical foundations); widely used in clinical research since the 1970s	1935
Автор метода	Early formalized by statisticians including Bradford Hill and colleagues in clinical trials; theoretical framework developed by Grizzle (1965) and later Senn (2002)	Ronald A. Fisher
Тип	Experimental within-subject design	Parametric blocked ANOVA
Основополагающий источник	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
Другие названия	crossover RCT, crossover trial, within-subject RCT, AB/BA crossover design	Latin Square, Greco-Latin Square, Latin Kare ve Greco-Latin Kare Deseni
Связанные	5	5
Сводка	A crossover randomized controlled trial (crossover RCT) is an experimental design in which each participant receives all study interventions in a randomized sequence, separated by a washout period. Because every participant serves as their own control, within-subject variability is eliminated from the treatment comparison, yielding greater statistical power per participant than a parallel-group RCT of equal size.	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.