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رگرسیون لجستیک ترتیبی (Ordered Logit/Probit)×رگرسیون لجستیک×رگرسیون دوجمله‌ای منفی×رگرسیون حداقل مربعات معمولی (OLS)×
حوزهاقتصادسنجیآمار پژوهشاقتصادسنجیاقتصادسنجی
خانوادهRegression modelProcess / pipelineRegression modelRegression model
سال پیدایش1980195820112019
پدیدآورMcCullagh (proportional odds / cumulative model)David Roxbee CoxHilbe (textbook treatment); generalized linear model frameworkWooldridge (textbook treatment); classical least squares
نوعCumulative ordinal regressionMethodGeneralized 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 ↗Hilbe, 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, LRNB regression, NB2 regression, negatif binom regresyonuordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
مرتبط4345
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.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 · Negative Binomial Regression · OLS Regression. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare