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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.
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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.
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].
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.
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].
Generalized estimating equation (GEE) models with binomial distribution were used in the second approach, because they take the dependence observed between two values within a patient into account.
Binomial distributions were used to estimate variances for rates.
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 parameter K of the binomial distribution is considered unknown and it is attempted to estimate this.
Negative binomial distribution was used for curve fitting.
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