方法对比
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| 析因实验× | 分数析因实验× | |
|---|---|---|
| 领域 | 实验设计 | 实验设计 |
| 方法族 | Process / pipeline | Process / pipeline |
| 起源年份≠ | 1926–1935 | 1945 (Finney); broader development 1950s–1970s by Box, Hunter |
| 提出者≠ | Ronald A. Fisher | D. J. Finney (formal development); foundations in Ronald Fisher's factorial design work |
| 类型 | Quantitative experimental design | Quantitative 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 | fractional factorial design, FFD, 2^(k-p) design, fractional replication |
| 相关≠ | 6 | 4 |
| 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 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. |
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