Negative Binomial Regression

Abstract

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Association between continuity of care in general practice and hospital admissions for ambulatory care sensitive conditions: cross sectional study of routinely collected, person level data

“…Since over-dispersion was present (and also the variance of the number of admissions for ambulatory care sensitive conditions was greater than the mean), we preferred a negative binomial model (with a log-link) to a Poisson model. 43 We selected covariates using the Akaike Information Criterion; this supported including all of our chosen covariates. 44 We expected that two patients in the same practice were likely to have more similar rates of admission than two patients in randomly different practices.…”

Ageing Prisoners' Disease Burden: Is Being Old a Better Predictor than Time Served in Prison?

“…Coefficients were reported as the incidence rate ratio (IRR), i.e. a one-unit increase in the predictor value leads to an increase/decrease of the outcome by a factor of e b , whereby b is the estimated parameter [36]. The model contained age group and years in prison (linear and quadratic polynomial) as predictors of interest, correcting for the following covariates: prison and marital status.…”

Randomly stopped sums: models and psychological applications

“…The Aribarg et al model had a Poisson distribution for the frequencies, and an exponential distribution for the magnitudes. A well-known problem for the Poisson distribution is over-dispersion (see, e.g., Hilbe, 2011), often due to individual differences among subjects. Three popular alternative frequency distributions are available to deal with over-dispersion: The negative binomial, the compound Poisson-gamma, and compound Poisson-log-normal (Johnson et al, 1993).…”