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| 2^(k-p) 分割要因計画× | 一元配置分散分析× | |
|---|---|---|
| 分野≠ | 実験計画法 | 統計学 |
| 系統 | Hypothesis test | Hypothesis test |
| 提唱年≠ | 1961 | 1925 |
| 提唱者≠ | George E. P. Box and J. Stuart Hunter | Ronald A. Fisher |
| 種類≠ | Screening and economical factorial design | Parametric mean comparison |
| 原典≠ | Box, G.E.P. & Hunter, J.S. (1961). The 2^(k-p) Fractional Factorial Designs. Technometrics, 3(3), 311–351. link ↗ | Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗ |
| 別名 | 2^k-p design, fractional factorial, screening design, Kesirli Faktöriyel Desen (2^k-p Fractional Factorial) | one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA |
| 関連≠ | 7 | 4 |
| 概要≠ | The fractional factorial design is an economical experimental strategy that investigates k factors by running only a carefully chosen 1/2^p fraction of the full 2^k factorial experiment. Formalized by George E. P. Box and J. Stuart Hunter in their landmark 1961 Technometrics paper, it exploits the sparsity-of-effects principle — that high-order interactions are typically negligible — to screen many factors with far fewer runs than a complete factorial would require. | One-way ANOVA is a parametric hypothesis test that compares the means of three or more independent groups on a single continuous outcome to decide whether at least one group mean differs. It rests on the variance-partitioning framework introduced by Ronald A. Fisher in 1925. |
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