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The negative binomial model was applied due to overdispersion observed in our data.
A beta binomial model was applied to detect allele specific expression ASE (see methods).
As the prevalence of each event was high, ORs would not provide a good estimate of PRs.: 23 rather, the log-linked binomial model was applied, using the PROC GENMOD procedure in the SAS statistical package (V.9.3) with DIST=BINOMIAL and LINK=LOG options.
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Negative binomial models were applied to analyze the outcomes of missed work days and bed days.
Since the likelihood ratio test for alpha = 0 (χ2(1) = 221.60; P = 0.000) indicated over dispersion, a robust negative binomial regression model was applied to predict the number of infections per woman (a count outcome).
A log-binomial regression model was applied to the child protection and infant mortality data to obtain risk ratios for comparing children of women prisoners with children whose mothers had no corrections record (Knol, Le Cessie, Algra, Vandenbroucke, & Groenwold, 2011; McNutt, Wu, Xue, & Hafner, 2003; Robbins, Chao, & Fonseca, 2002).
A multivariable log-binomial regression model was applied to assess the relative risk (RR) of readmission within 30 days (yes vs no) between patients with above basic literacy level and patients with basic/below basic literacy.
To account for this, a beta-binomial logistic regression model was applied (Griffiths 1973): a within-batch correlation coefficient ϕ was estimated in addition to the coefficients of the fixed effects.
If a Poisson or negative binomial distribution based count model is applied to data with an excess of zeros without addressing these mixtures, the model can be strongly affected.
Crude and adjusted binomial regression models were applied to estimate the association between the exposure and the outcome analysing men and women separately.
Negative binomial regression models were applied to determine the percentage change in rate and to accommodate for over-dispersion in the data, with the log of NSW population used as an offset to control for the population changes over time.
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