השוואת שיטות
סקרו את השיטות שבחרתם זו לצד זו; שורות שבהן יש הבדל מודגשות.
| רגרסיית גמא (GLM)× | רגרסיית בינום שלילי× | רגרסיית ריבועים פחותים רגילים (OLS)× | רגרסיית פואסון ובינומית שלילית× | |
|---|---|---|---|---|
| תחום≠ | סטטיסטיקה | אקונומטריקה | אקונומטריקה | אקונומטריקה |
| משפחה | Regression model | Regression model | Regression model | Regression model |
| שנת המקור≠ | 1989 | 2011 | 2019 | 1998 |
| הוגה השיטה≠ | McCullagh & Nelder (GLM framework) | Hilbe (textbook treatment); generalized linear model framework | Wooldridge (textbook treatment); classical least squares | Cameron & Trivedi (textbook treatment); Hilbe (negative binomial) |
| סוג≠ | Generalized linear model | Generalized linear model for count data | Linear regression | Generalized linear model for count data |
| מקור מכונן≠ | McCullagh, P. & Nelder, J. A. (1989). Generalized Linear Models (2nd ed.). Chapman and Hall. 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 ↗ |
| כינויים≠ | gamma GLM, gamma generalized linear model, Gamma Regresyonu (GLM) | 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 |
| קשורות≠ | 4 | 4 | 5 | 4 |
| תקציר≠ | 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. | 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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