方法对比
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| 析因实验× | 全因子实验× | |
|---|---|---|
| 领域 | 实验设计 | 实验设计 |
| 方法族 | Process / pipeline | Process / pipeline |
| 起源年份≠ | 1926–1935 | 1926 (Fisher's foundational paper); codified by the 1950s–1960s |
| 提出者 | Ronald A. Fisher | Ronald A. Fisher |
| 类型≠ | Quantitative experimental design | Experimental design |
| 开创性文献≠ | Fisher, R. A. (1935). The Design of Experiments. Oliver and Boyd. link ↗ | 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 |
| 别名 | factorial design, factorial ANOVA design, multi-factor experiment, crossed-factor design | full factorial design, complete factorial design, 2^k factorial design, FFD |
| 相关 | 6 | 6 |
| 摘要≠ | 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. | 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. |
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