方法对比
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| 全因子实验× | 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 (Fisher's foundational paper); codified by the 1950s–1960s | 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≠ | Experimental design | Quantitative experimental design |
| 开创性文献 | 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 | 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 | full factorial design, complete factorial design, 2^k factorial design, FFD | fractional factorial design, FFD, 2^(k-p) design, fractional replication |
| 相关≠ | 6 | 4 |
| 摘要≠ | 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 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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