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| 判别分析× | Hotelling T²检验× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族≠ | Latent structure | Hypothesis test |
| 起源年份≠ | 1936 | 1931 |
| 提出者≠ | Ronald A. Fisher | Harold Hotelling |
| 类型≠ | Supervised classification and dimension reduction | Multivariate parametric 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 ↗ | Hotelling, H. (1931). The Generalization of Student's Ratio. Annals of Mathematical Statistics, 2(3), 360–378. link ↗ |
| 别名≠ | LDA, Fisher discriminant analysis, discriminant function analysis, canonical discriminant analysis | Hotelling T² Testi — Çok Değişkenli t-Testi, multivariate t-test, Hotelling T-squared |
| 相关≠ | 4 | 6 |
| 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. | Hotelling's T² test is a multivariate parametric hypothesis test that simultaneously compares the mean vectors of two independent groups across multiple continuous outcome variables. It was introduced by Harold Hotelling in 1931 as the direct multivariate generalization of Student's t-test, replacing the scalar mean difference with a vector difference scaled by the pooled variance-covariance matrix. |
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