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Multinomiale logistische Regression×Logistische Regression×
FachgebietStatistikForschungsstatistik
FamilieRegression modelProcess / pipeline
Entstehungsjahr1966–19741958
UrheberCox (1966); Theil (1969); formalized by McFadden (1974)David Roxbee Cox
TypGeneralized linear modelMethod
Wegweisende QuelleAgresti, A. (2002). Categorical Data Analysis (2nd ed.). Wiley-Interscience. ISBN: 978-0471360933Cox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242. DOI ↗
Aliasnamenpolytomous logistic regression, softmax regression, multinomial logit, nominal logistic regressionlogit model, binomial logistic regression, LR
Verwandt43
ZusammenfassungMultinomial logistic regression extends binary logistic regression to outcomes with three or more unordered categories. It models the log-odds of each category relative to a chosen reference category as a linear function of the predictors, and estimates all parameters simultaneously via maximum likelihood. It is the standard choice when the dependent variable is nominal with multiple levels.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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ScholarGateMethoden vergleichen: Multinomial Logistic Regression · Logistic Regression. Abgerufen am 2026-06-17 von https://scholargate.app/de/compare