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The variance for the negative binomial distribution is estimated using the approach described in Anders and Huber (2010), i.e. we model the variance as a function of the read count using a smooth function.
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Additionally, a generalised linear model with a log link and a negative binomial distribution were estimated to assess monthly healthcare costs, adjusted for the patient and treatment characteristics.
As the number of physicians can be seen as numeric count data taking no zero values, a generalized linear model (GLM) with log-link using a zero-truncated negative-binomial distribution was estimated using the logarithmized number of 10 000 inhabitants as an offset, thus estimating physician density [ 42].
The parameter K of the binomial distribution is considered unknown and it is attempted to estimate this.
A standardized binomial distribution is a binomial distribution scaled and translated so that it has zero mean and unit variance.
Binomial distribution is a fundamental statistical assumption about sampling process.
An extension of the binomial distribution is the beta-binomial distribution.
Ordinary least square (OLS) models and generalized linear models (GLM) with a log link and a negative binomial distribution were both used to estimate the differences in total costs and cost components.
For the analysis of safety, Fisher's exact test will be used if necessary, and the exact confidence intervals for the binomial distribution will be estimated.
A zero-inflated negative binomial distribution was fitted to the estimates of gametocyte density (used to generate the gametocyte age profile) using maximum likelihood, though the improved fit didn't warrant the extra complexity (likelihood ratio test p value = 0.7).
The results of our study are consistent with those for hepatitis A, which showed that the estimates of GLM using negative binomial distribution were better [ 19].
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