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| La prova T² d'Hotelling× | Regressió Logística× | |
|---|---|---|
| Camp≠ | Estadística | Estadística per a la recerca |
| Família≠ | Hypothesis test | Process / pipeline |
| Any d'origen≠ | 1931 | 1958 |
| Autor original≠ | Harold Hotelling | David Roxbee Cox |
| Tipus≠ | Multivariate parametric mean comparison | Method |
| Font seminal≠ | Hotelling, H. (1931). The Generalization of Student's Ratio. Annals of Mathematical Statistics, 2(3), 360–378. link ↗ | Cox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242. DOI ↗ |
| Àlies | Hotelling T² Testi — Çok Değişkenli t-Testi, multivariate t-test, Hotelling T-squared | logit model, binomial logistic regression, LR |
| Relacionats≠ | 6 | 3 |
| Resum≠ | 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. | Logistic regression is a statistical method for modeling the probability of a binary outcome (disease present/absent, success/failure) as a function of continuous and categorical predictors. Developed by David Roxbee Cox (1958), it solves the problem of predicting categorical outcomes by applying a logistic transformation to constrain predictions to the [0,1] probability interval, enabling accurate risk stratification, diagnostic prediction, and causal inference in epidemiology, medicine, and social science. |
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