So sánh phương pháp

	Thí nghiệm Phân thừa số	Thí nghiệm yếu tố
Lĩnh vực	Thiết kế thí nghiệm	Thiết kế thí nghiệm
Họ	Process / pipeline	Process / pipeline
Năm ra đời	1945 (Finney); broader development 1950s–1970s by Box, Hunter	1926–1935
Người khởi xướng	D. J. Finney (formal development); foundations in Ronald Fisher's factorial design work	Ronald A. Fisher
Loại	Quantitative experimental design	Quantitative experimental design
Công trình gốc	Box, G. E. P., Hunter, J. S., & Hunter, W. G. (2005). Statistics for Experimenters: Design, Innovation, and Discovery (2nd ed.). Wiley-Interscience. ISBN: 978-0471718130	Fisher, R. A. (1935). The Design of Experiments. Oliver and Boyd.
Tên gọi khác	fractional factorial design, FFD, 2^(k-p) design, fractional replication	factorial design, factorial ANOVA design, multi-factor experiment, crossed-factor design
Liên quan	4	6
Tóm tắt	A fractional factorial experiment is a resource-efficient experimental design that tests only a carefully chosen fraction of all possible factor-level combinations. By exploiting the principle that high-order interactions are usually negligible, it identifies the main effects and low-order interactions of k factors using far fewer runs than a full factorial design — making it the workhorse of industrial and engineering screening experiments.	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.