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رگرسیون لجستیک ترتیبی (Ordered Logit/Probit)×رگرسیون لجستیک×رگرسیون لجستیک چندجمله‌ای (Multinomial Logistic Regression)×رگرسیون دوجمله‌ای منفی×رگرسیون حداقل مربعات معمولی (OLS)×
حوزهاقتصادسنجیآمار پژوهشاقتصادسنجیاقتصادسنجیاقتصادسنجی
خانوادهRegression modelProcess / pipelineRegression modelRegression modelRegression model
سال پیدایش19801958197420112019
پدیدآورMcCullagh (proportional odds / cumulative model)David Roxbee CoxMcFaddenHilbe (textbook treatment); generalized linear model frameworkWooldridge (textbook treatment); classical least squares
نوعCumulative ordinal regressionMethodMultinomial logistic regressionGeneralized linear model for count dataLinear regression
منبع بنیادینMcCullagh, 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 ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
نام‌های دیگرordinal 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 regresyonuordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
مرتبط43545
خلاصهOrdered 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.Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).
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ScholarGateمقایسهٔ روش‌ها: Ordered Logit · Logistic Regression · Multinomial Logit · Negative Binomial Regression · OLS Regression. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare