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| انحدار ذي الحدين السالب القوي× | الانحدار بواسوني القوي× | |
|---|---|---|
| المجال | الإحصاء | الإحصاء |
| العائلة | Regression model | Regression model |
| سنة النشأة≠ | 2000s–2011 | 2004 |
| صاحب الطريقة≠ | Hilbe, J. M.; Zeileis, A. et al. | Guangyong Zou |
| النوع≠ | Count regression with robust inference | GLM with robust variance |
| المصدر التأسيسي≠ | Hilbe, J. M. (2011). Negative Binomial Regression (2nd ed.). Cambridge University Press. ISBN: 978-0521198158 | Zou, G. (2004). A modified Poisson regression approach to prospective studies with binary data. American Journal of Epidemiology, 159(7), 702-706. DOI ↗ |
| الأسماء البديلة | robust NB regression, negative binomial regression with robust standard errors, sandwich-corrected negative binomial regression, NB2 robust regression | modified Poisson regression, Poisson regression with robust standard errors, log-binomial alternative, sandwich-variance Poisson |
| ذات صلة≠ | 6 | 5 |
| الملخص≠ | Robust Negative Binomial Regression models overdispersed count outcomes using the negative binomial distribution while protecting coefficient inference against misspecification of the variance function. It pairs maximum-likelihood estimation of the mean and dispersion parameters with sandwich (Huber-White) standard errors, yielding valid tests even when the assumed variance structure is only approximately correct. | 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. |
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