Сравнение на методи
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| Факторен анализ× | К-най-близки съседи× | Многовариантен анализ на дисперсията (MANOVA)× | |
|---|---|---|---|
| Област≠ | Статистика за изследвания | Машинно обучение | Статистика |
| Семейство≠ | Process / pipeline | Machine learning | Hypothesis test |
| Година на възникване≠ | 1931 | 1967 | 1932 |
| Създател≠ | Louis Leon Thurstone | Cover, T.M. & Hart, P.E. | Samuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.) |
| Тип≠ | Method | Instance-based (non-parametric) learning | Parametric multivariate mean comparison |
| Основополагащ източник≠ | Thurstone, L. L. (1947). Multiple Factor Analysis. University of Chicago Press. DOI ↗ | Cover, T.M. & Hart, P.E. (1967). Nearest Neighbor Pattern Classification. IEEE Transactions on Information Theory, 13(1), 21–27. DOI ↗ | Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574 |
| Други названия≠ | EFA, CFA, latent variable modeling | KNN, K-En Yakın Komşu (KNN), nearest neighbor classifier, instance-based learning | Multivariate ANOVA, Çok Değişkenli ANOVA (MANOVA) |
| Свързани≠ | 3 | 5 | 5 |
| Резюме≠ | Factor analysis is a statistical technique for identifying latent (unobserved) dimensions underlying observed variables, developed by Louis Leon Thurstone in the 1930s and formalized by Jöreskog (1969). Exploratory factor analysis (EFA) discovers unknown factor structure from data; confirmatory factor analysis (CFA) tests hypothesized relationships between observed and latent variables. Essential in psychometrics (test development), organizational research (measuring constructs like leadership style), and biomedicine (identifying disease subtypes), factor analysis reduces dimensionality while revealing conceptual organization in multivariate data. | K-Nearest Neighbors (KNN), formalized by Cover and Hart in 1967, is a non-parametric, instance-based method that classifies or predicts a new observation by looking at the k closest examples in the training data. For classification it takes a majority vote among those neighbors; for regression it averages their values. | 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. |
| ScholarGateНабор от данни ↗ |
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