مقایسهٔ روش‌ها

	آزمایش عاملی متقاطع	آزمایش عاملی
حوزه	طراحی آزمایش	طراحی آزمایش
خانواده	Process / pipeline	Process / pipeline
سال پیدایش	1920s–1960s (synthesis of factorial and crossover traditions)	1926–1935
پدیدآور	R. A. Fisher (factorial principles, 1920s); crossover integration developed in biostatistics through mid-20th century	Ronald A. Fisher
نوع	Experimental design	Quantitative experimental design
منبع بنیادین	Jones, B., & Kenward, M. G. (2014). Design and Analysis of Cross-Over Trials (3rd ed.). Chapman and Hall/CRC. ISBN: 978-1439861424	Fisher, R. A. (1935). The Design of Experiments. Oliver and Boyd.
نام‌های دیگر	within-subject factorial design, repeated-measures factorial experiment, factorial crossover trial, crossover factorial trial	factorial design, factorial ANOVA design, multi-factor experiment, crossed-factor design
مرتبط	5	6
خلاصه	A crossover factorial experiment combines two powerful design principles: factorial structure, which studies multiple factors and their interactions simultaneously, and crossover structure, in which each participant receives more than one treatment combination across sequential periods. By serving as their own control, participants reduce between-subject variability, improving statistical power while also revealing how different factor levels interact within the same individual.	A factorial experiment is an experimental design in which two or more independent variables (factors) are manipulated simultaneously, and every combination of their levels is tested. Introduced by Ronald Fisher in the 1920s–1930s, it is the standard approach whenever a researcher needs to detect not only the main effect of each factor but also whether the effect of one factor depends on the level of another — the interaction effect.