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Подредена логистична регресия (Ordered Logit/Probit)×Логистична регресия×Мултиномиална логистична регресия×Негативно-биномна регресия×
ОбластИконометрияСтатистика за изследванияИконометрияИконометрия
СемействоRegression modelProcess / pipelineRegression modelRegression model
Година на възникване1980195819742011
СъздателMcCullagh (proportional odds / cumulative model)David Roxbee CoxMcFaddenHilbe (textbook treatment); generalized linear model framework
ТипCumulative ordinal regressionMethodMultinomial logistic regressionGeneralized linear model for count data
Основополагащ източникMcCullagh, P. (1980). Regression Models for Ordinal Data. Journal of the Royal Statistical Society: Series B, 42(2), 109-142. DOI ↗Cox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242. DOI ↗McFadden, D. (1974). Conditional Logit Analysis of Qualitative Choice Behavior. In P. Zarembka (Ed.), Frontiers in Econometrics (pp. 105-142). Academic Press. ISBN: 978-0127761503Hilbe, J. M. (2011). Negative Binomial Regression (2nd ed.). Cambridge University Press. DOI ↗
Други названияordinal logistic regression, proportional odds model, cumulative logit model, ordered probitlogit model, binomial logistic regression, LRmultinomial logistic regression, polytomous logistic regression, softmax regression, Çok Kategorili Lojistik RegresyonNB regression, NB2 regression, negatif binom regresyonu
Свързани4354
РезюмеOrdered logit is a cumulative regression model for an ordinal dependent variable, fitting a logit (or probit) link to the cumulative category probabilities. Developed in McCullagh's 1980 treatment of regression models for ordinal data, it is the standard tool for Likert-scale, rating, and ranked outcomes.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.Multinomial logistic regression is a maximum-likelihood method for a nominal (unordered) dependent variable with more than two categories. Building on McFadden's 1974 treatment of qualitative choice, it gives each category its own set of coefficients relative to a reference category.Negative Binomial Regression is a generalized linear model for count outcomes that extends Poisson regression to handle overdispersion, where the variance of the counts exceeds their mean. Developed in the GLM tradition and treated in depth by Hilbe (2011), it adds a dispersion parameter so that inference stays valid when Poisson would understate the spread of the data.
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ScholarGateСравнение на методи: Ordered Logit · Logistic Regression · Multinomial Logit · Negative Binomial Regression. Извлечено на 2026-06-17 от https://scholargate.app/bg/compare