手法を比較

	フルファクトリアル実験	ブロック化全要因実験
分野	実験計画法	実験計画法
系統	Process / pipeline	Process / pipeline
提唱年	1926 (Fisher's foundational paper); codified by the 1950s–1960s	1935 (Fisher); systematized through 20th-century DOE literature
提唱者	Ronald A. Fisher	R. A. Fisher (blocking principle); full factorial DOE tradition
種類	Experimental design	Experimental design
原典	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	Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119113478
別名	full factorial design, complete factorial design, 2^k factorial design, FFD	blocked full factorial design, full factorial with blocking, complete factorial blocked design, BFF design
関連	6	4
概要	A full factorial experiment runs every possible combination of all chosen factor levels, making it the gold standard for simultaneously estimating main effects, two-way interactions, and higher-order interactions among multiple independent variables. Introduced through Ronald Fisher's foundational work on factorial designs in the 1920s and systematised by Box, Hunter, and Montgomery, it provides complete information about how factors act individually and in combination on an outcome.	A blocked full factorial experiment tests every combination of all factor levels while grouping experimental runs into homogeneous blocks to isolate a known nuisance variable. This design preserves the power to detect all main effects and interactions of the factors of interest while preventing batch-to-batch, day-to-day, or machine-to-machine variability from inflating experimental error.