Sammenlign metoder
Gjennomgå de valgte metodene side om side; rader som avviker, er uthevet.
| Gamma-regresjon (GLM)× | Logistisk regresjon× | Negativ binomial regresjon× | Minste kvadraters metode (OLS)× | Poisson- og negativ binomial regresjon× | |
|---|---|---|---|---|---|
| Fagfelt≠ | Statistikk | Forskningsstatistikk | Økonometri | Økonometri | Økonometri |
| Familie≠ | Regression model | Process / pipeline | Regression model | Regression model | Regression model |
| Opprinnelsesår≠ | 1989 | 1958 | 2011 | 2019 | 1998 |
| Opphavsperson≠ | McCullagh & Nelder (GLM framework) | David Roxbee Cox | Hilbe (textbook treatment); generalized linear model framework | Wooldridge (textbook treatment); classical least squares | Cameron & Trivedi (textbook treatment); Hilbe (negative binomial) |
| Type≠ | Generalized linear model | Method | Generalized linear model for count data | Linear regression | Generalized linear model for count data |
| Opprinnelig kilde≠ | McCullagh, P. & Nelder, J. A. (1989). Generalized Linear Models (2nd ed.). Chapman and Hall. 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 | Cameron, A. C. & Trivedi, P. K. (1998). Regression Analysis of Count Data. Cambridge University Press. DOI ↗ |
| Alias≠ | gamma GLM, gamma generalized linear model, Gamma Regresyonu (GLM) | logit model, binomial logistic regression, LR | NB regression, NB2 regression, negatif binom regresyonu | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu | count regression, log-linear count model, negative binomial regression, Poisson / Negatif Binom Regresyon |
| Relaterte≠ | 4 | 3 | 4 | 5 | 4 |
| Sammendrag≠ | Gamma regression is a generalized linear model that uses the gamma distribution to model a positive, right-skewed continuous outcome. Developed within the GLM framework of McCullagh and Nelder (1989), it is an alternative to ordinary linear regression for variables such as health-care costs, durations, and income. | 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). | Poisson regression is a generalized linear model for count outcomes — events tallied as non-negative integers such as hospital admissions, accidents, or article counts. It models the log of the expected count as a linear function of the predictors, and is developed in the standard count-data treatment of Cameron and Trivedi (1998); when the counts are over-dispersed, the closely related negative binomial model (Hilbe, 2011) is preferred. |
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