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Ujian T² Hotelling×Regresi Logistik×
BidangStatistikStatistik Penyelidikan
KeluargaHypothesis testProcess / pipeline
Tahun asal19311958
PengasasHarold HotellingDavid Roxbee Cox
JenisMultivariate parametric mean comparisonMethod
Sumber perintisHotelling, 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 ↗
AliasHotelling T² Testi — Çok Değişkenli t-Testi, multivariate t-test, Hotelling T-squaredlogit model, binomial logistic regression, LR
Berkaitan63
RingkasanHotelling'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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