Methoden vergleichen

	Geordnete logistische Regression (Ordered Logit/Probit)	Multinomiale Logistische Regression	Negative Binomial Regression	Methode der kleinsten Quadrate (OLS)
Fachgebiet	Ökonometrie	Ökonometrie	Ökonometrie	Ökonometrie
Familie	Regression model	Regression model	Regression model	Regression model
Entstehungsjahr	1980	1974	2011	2019
Urheber	McCullagh (proportional odds / cumulative model)	McFadden	Hilbe (textbook treatment); generalized linear model framework	Wooldridge (textbook treatment); classical least squares
Typ	Cumulative ordinal regression	Multinomial logistic regression	Generalized linear model for count data	Linear regression
Wegweisende Quelle	McCullagh, P. (1980). Regression Models for Ordinal Data. Journal of the Royal Statistical Society: Series B, 42(2), 109-142.	McFadden, D. (1974). Conditional Logit Analysis of Qualitative Choice Behavior. In P. Zarembka (Ed.), Frontiers in Econometrics (pp. 105-142). Academic Press. ISBN: 978-0127761503	Hilbe, J. M. (2011). Negative Binomial Regression (2nd ed.). Cambridge University Press.	Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
Aliasnamen	ordinal logistic regression, proportional odds model, cumulative logit model, ordered probit	multinomial logistic regression, polytomous logistic regression, softmax regression, Çok Kategorili Lojistik Regresyon	NB regression, NB2 regression, negatif binom regresyonu	ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
Verwandt	4	5	4	5
Zusammenfassung	Ordered 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.	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).