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However, the results of considering managerial flexibility using the binomial model show that the uncertainty generates value for the project.
It has been used since the 1970s (Black and Scholes, 1973) to demonstrate that its results, under particular conditions (boundary conditions), are very similar to those obtained using the binomial model.
In Table 2, we present different estimations of a pooled proportion (event rates) using the binomial model and the beta-binomial model.
Using the binomial model, we compute a binomial probability and variance as if all the data were from a single study with a sample size of over 3,000.
The number of bootstrap samples is M = 200 for IsoDE-Match and M = 20 for IsoDE-All, and bootstrap support was determined using the binomial model with significance level α = 0.05.
Using the binomial model when the variability in the data exceeds what the binomial model can accommodate could result in an underestimation of the standard error of the pooled event rate and thus increase the chance of a Type I error.
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To model this distribution, we can use the binomial model.
In order to reduce the influence of missing data, we excluded pathways whose members were not significantly detected by GPL96 platform by using the binomial probability model.
The HIV transmission probability per partnership per month is then calculated using the binomial (Bernoulli) model as where C n is the number of sexual contacts the individual has with the partner.
Extrapolation of these data using the binomial mixture model described by Snipen et al. [ 48] yields an estimated core genome of 1,600 orthologous clusters and a pan-genome of 9,072 total orthologous clusters.
The likelihood ratio test that compared the fit between the negative binomial regression and the Poisson regression (the null model) along with the estimated dispersion parameter and its associated 95% confidence interval using the negative binomial model was provided as evidence of model fit for the negative binomial model.
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