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| Εύρωστη Παλινδρόμηση Poisson× | Ανάλυση Παλινδρόμησης Αρνητικού Διωνύμου× | |
|---|---|---|
| Πεδίο≠ | Στατιστική | Οικονομετρία |
| Οικογένεια | Regression model | Regression model |
| Έτος προέλευσης≠ | 2004 | 2011 |
| Δημιουργός≠ | Guangyong Zou | Hilbe (textbook treatment); generalized linear model framework |
| Τύπος≠ | GLM with robust variance | Generalized linear model for count data |
| Θεμελιώδης πηγή≠ | Zou, G. (2004). A modified Poisson regression approach to prospective studies with binary data. American Journal of Epidemiology, 159(7), 702-706. DOI ↗ | Hilbe, J. M. (2011). Negative Binomial Regression (2nd ed.). Cambridge University Press. DOI ↗ |
| Εναλλακτικές ονομασίες≠ | modified Poisson regression, Poisson regression with robust standard errors, log-binomial alternative, sandwich-variance Poisson | NB regression, NB2 regression, negatif binom regresyonu |
| Συναφείς≠ | 5 | 4 |
| Σύνοψη≠ | Robust Poisson regression fits a Poisson log-linear model to a binary outcome but replaces the model-based variance with the empirical sandwich estimator. This yields valid standard errors and risk ratios even though Poisson variance assumptions are technically violated for binary data. The approach, popularized by Zou (2004), is widely used in epidemiology as a numerically stable alternative to log-binomial regression. | 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. |
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