We did Bayesian network meta-analyses using a binomial likelihood model.
A binomial likelihood model 7 which accounts for use of multi-arm trials was used for analyses, given outcomes were dichotomous and included multi-arm trials.
Assumptions relating to heterogeneity and consistency were assessed using methods described by Song et al. 19 Differences in follow-up periods between studies were addressed in the analysis of the proportion of patients with improved vision, by fitting a binomial likelihood model with a complementary log-log link function which treated study length as an additional rate parameter.
Fourth, we used a normal approximation to the likelihood, instead of the exact binomial likelihood, in the modeling for meta-analysis.
The R-INLA software also support different zero-inflated Gaussian and Binomial likelihoods, survival models (exponential, Weibull, and Cox likelihoods), Student's t, and skew-normal likelihoods (see www.r-inla.org).
First, to examine the likelihood of SRE expression, we used binomial logistic regression to model the equation governing SRE likelihood and to compare the relative weighting of bolting month, year, genotype, and prebolting rosette size on the response.
Using beta binomial distributions to model predictions and errors works well, however, and the ratio of such distributions can be used to estimate the likelihood that a given prediction will be incorrect.
And we said we're going to make this a binomial likelihood.
An example is provided in Chu et al.[ 53] where parameterization of the within-study model enabled the special case of diagnostic sensitivity and specificity to be jointly modelled with disease prevalence using a trivariate binomial likelihood.
