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If we assume an APM prevalence of 0.2% (1 case in the study sample), the estimated probability of obtaining our results by chance, based on binomial analysis, would be 0.37.
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The statistical analysis was based on binomial likelihoods with a logit link function.
To investigate whether the 5' regulatory regions of immunity-related genes shared common DNA motifs, 2500 bp 5' upstream sequences (5'-US) were recovered using Biomart, of Ensembl [ 28] and analyzed for statistically overrepresented motifs of 2 to 8 nucleotides in length, using Oligo-Analysis, which is based on binomial distribution [ 29].
An optional analysis method allowing for a better estimate of confidence bounds, based on binomial probability is presented.
P-values of p<10−5 (based on binomial test) were considered as a sign of manifest enrichment in the context of a Panther analysis for biological processes, molecular functions and pathway categories.
A rationale for the appropriate choice of p, based on Binomial Probability is also presented.
The logit models are based on binomial distributions (z-scores, generalized linear mixed model, GLMM).
In [15], the authors present a fault-tolerant broadcast algorithm for hypercubes based on binomial trees.
Confidence intervals were calculated based on binomial and multinomial tests of accuracy.
In the remaining part of the paper, we call our model the binomial model, since it is mainly based on binomial distribution.
The latter can be estimated by several approaches based on binomial and Poisson regression with or without constraints.
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