方法对比
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| 试点析因实验× | 响应面方法 (RSM)× | |
|---|---|---|
| 领域 | 实验设计 | 实验设计 |
| 方法族≠ | Process / pipeline | Hypothesis test |
| 起源年份≠ | 1930s (Fisher); pilot application conventions developed mid-20th century | 1951 |
| 提出者≠ | R. A. Fisher (factorial design foundations); formalized in experimental statistics literature | George E. P. Box & K. B. Wilson |
| 类型≠ | Preliminary experimental design | Second-order polynomial response surface model |
| 开创性文献≠ | Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119113478 | Box, G. E. P. & Wilson, K. B. (1951). On the experimental attainment of optimum conditions. Journal of the Royal Statistical Society, Series B, 13(1), 1–45. link ↗ |
| 别名≠ | preliminary factorial study, pilot factorial design, small-scale factorial trial, feasibility factorial experiment | RSM, Central Composite Design, Box-Behnken Design, CCD |
| 相关≠ | 2 | 7 |
| 摘要≠ | A pilot factorial experiment is a small-scale, preliminary study that employs a factorial structure to simultaneously vary two or more factors across a limited number of experimental units. Its purpose is not to deliver definitive conclusions but to estimate effect sizes, within-group variance, and factor interactions, and to test logistical feasibility before committing resources to a full-scale factorial experiment. It is widely used in behavioral sciences, engineering, agriculture, and clinical research as an essential planning step. | Response Surface Methodology is a collection of statistical and mathematical techniques for building an empirical second-order polynomial model that relates a continuous response variable to two or more controllable input factors, and then locating the factor settings that optimize that response. The approach was introduced by George E. P. Box and K. B. Wilson in their landmark 1951 paper and has since become a cornerstone of process optimization across engineering, chemistry, food science, and pharmaceutics. |
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