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Poisson Rate Regression

Poisson rate regression is the standard generalized linear model for analyzing event rates and counts, such as the number of deaths, hospitalizations, or new cases observed over a span of person-time. It models the logarithm of the expected event rate as a linear function of covariates, using a Poisson likelihood and a log link, and accommodates differing amounts of exposure by including the log of person-time as an offset. Because coefficients enter on the log scale, their exponentials are incidence-rate ratios that quantify multiplicative effects on the rate. The rate formulation was crystallized in Frome's 1983 Biometrics paper, and the model sits within the broader count-data framework developed comprehensively by Cameron and Trivedi, who also detail its central practical concern: overdispersion, where the variance exceeds the Poisson assumption and standard errors must be corrected.

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Vyanzo

  1. Frome, E. L. (1983). The Analysis of Rates Using Poisson Regression Models. Biometrics, 39(3), 665-674. DOI: 10.2307/2531094
  2. Cameron, A. C., & Trivedi, P. K. (2013). Regression Analysis of Count Data (2nd ed.). Cambridge University Press. ISBN: 9781107014169

Jinsi ya kunukuu ukurasa huu

ScholarGate. (2026, June 23). Poisson Rate Regression (Log-Linear Models for Event Rates with Person-Time Offset). ScholarGate. https://scholargate.app/sw/social-epidemiology/poisson-rate-regression

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ScholarGatePoisson Rate Regression (Poisson Rate Regression (Log-Linear Models for Event Rates with Person-Time Offset)). Imepatikana 2026-06-24 kutoka https://scholargate.app/sw/social-epidemiology/poisson-rate-regression · Seti ya data: https://doi.org/10.5281/zenodo.20539026