方法对比
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| 判别分析× | 多元方差分析 (MANOVA)× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族≠ | Latent structure | Hypothesis test |
| 起源年份≠ | 1936 | 1932 |
| 提出者≠ | Ronald A. Fisher | Samuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.) |
| 类型≠ | Supervised classification and dimension reduction | Parametric multivariate mean comparison |
| 开创性文献≠ | Fisher, R. A. (1936). The use of multiple measurements in taxonomic problems. Annals of Eugenics, 7(2), 179–188. DOI ↗ | Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574 |
| 别名≠ | LDA, Fisher discriminant analysis, discriminant function analysis, canonical discriminant analysis | Multivariate ANOVA, Çok Değişkenli ANOVA (MANOVA) |
| 相关≠ | 4 | 5 |
| 摘要≠ | Discriminant analysis finds linear combinations of predictor variables that best separate two or more known groups. It is used both to understand which predictors distinguish the groups and to classify new observations into those groups with minimum error. | MANOVA is a parametric hypothesis test that simultaneously compares group means across multiple continuous dependent variables, controlling the inflation of Type I error that would result from running separate ANOVAs. Key multivariate test statistics — Wilks' Lambda, Pillai's Trace, Hotelling-Lawley Trace, and Roy's Greatest Root — were developed between the 1930s and 1950s, with Wilks' Lambda formalised by Samuel Stanley Wilks in 1932. |
| ScholarGate数据集 ↗ |
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