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The animal-level variation was modelled under the binomial assumption, with the potential for overdispersion accounted for by fitting an extra-binomial parameter.
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With random sampling from a large enough population the binomial assumption is surely approximately correct and so this aspect of possible model failure is ignored here.
Figure6 plots the mean number of successive transmissions of a node as the throughput increases along with the mean number of transmissions computed using the proposed fairness model using a binomial assumption.
The standard errors and the confidence intervals are estimated, by default, under a binomial assumption for each haplotype frequency estimate.
These models, based on normal or binomial assumptions, were constructed by using the package MLwiN (21 ).
Table 1 shows that the binomial broken-stick model fits better than the binomial model with the linear predictor.
Log-binomial regression with the COPY method was used [ 23].
In the negative binomial model, the assumption of homoscedasticity applies only to Pearson residuals, which adjust for the expected mean-variance relationship.
That the trials may not have the same success probabilities does not invalidate the binomial distribution assumption (McCullagh and Nelder, 1989, p. 103).
In binomial models the assumption of independence of each subject in the model can be violated, where subjects sharing common characteristics are clustered within hierarchical structures.
Assumptions: binomial distribution of the error terms, logit-link function.
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