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| 协方差分析 (ANCOVA)× | 判别分析× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族≠ | Hypothesis test | Latent structure |
| 起源年份≠ | 1932 | 1936 |
| 提出者 | Ronald A. Fisher | Ronald A. Fisher |
| 类型≠ | Parametric group comparison with covariate control | Supervised classification and dimension reduction |
| 开创性文献≠ | Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574 | Fisher, R. A. (1936). The use of multiple measurements in taxonomic problems. Annals of Eugenics, 7(2), 179–188. DOI ↗ |
| 别名≠ | analysis of covariance, covariance analysis, ANCOVA (Kovaryans Analizi) | LDA, Fisher discriminant analysis, discriminant function analysis, canonical discriminant analysis |
| 相关 | 4 | 4 |
| 摘要≠ | ANCOVA is a parametric hypothesis test that compares the adjusted means of two or more independent groups while statistically controlling for one or more continuous covariates. By removing the portion of outcome variance explained by the covariate, ANCOVA increases statistical precision and produces fairer group comparisons. The method builds on the general linear model framework consolidated by Fisher in the early 1930s and is described comprehensively by Tabachnick and Fidell (2013). | 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. |
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