V2EX factorial-design

Factorial Design

释义 Definition

析因设计(因子设计):一种实验设计方法,同时操纵两个或以上的自变量(因素),并系统考察它们对因变量的主效应以及因素之间的交互作用。常见形式如 2×23×2 等。(在统计与心理学、教育、市场研究、工程试验中很常用。)

例句 Examples

We used a 2×2 factorial design to test the effects of caffeine and sleep on reaction time.
我们使用了一个 2×2 的析因设计来检验咖啡因和睡眠对反应时间的影响。

In a full factorial design, every level of each factor is combined with every level of the other factors, which allows researchers to estimate interaction effects but can require many experimental runs.
在完全析因设计中,每个因素的每个水平都会与其他因素的每个水平进行组合,这使研究者能够估计交互作用,但也可能需要进行大量实验次数。

发音 Pronunciation (IPA)

/fktril dzan/

词源 Etymology

factorial 原指“与因素/阶乘有关的”。在实验方法学里,它引申为“由多个因素共同构成的(组合式的)”。 来自“设计、规划”。合起来 factorial design 就是“按多个因素的组合来安排实验的设计”,强调同时考察多个因素及其交互影响。

相关词 Related Words

文学与经典著作中的用例 Literary Works

  • Design and Analysis of Experiments(Douglas C. Montgomery)
  • Experimental Designs(W. G. Cochran & G. M. Cox)
  • Statistics for Experimenters(George E. P. Box, J. Stuart Hunter, William G. Hunter)
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