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We used negative binomial distribution in the model instead of Poisson distribution because the variance exceeds the mean and we observed overdispersion for the number of MRSA cases.
Differential expression was investigated using the edgeR (Robinson et al. 2010) package in R (R Core Team 2013), which implements a negative binomial distribution for the modeling of gene expression and uses the trimmed mean of M-values approach (Robinson and Oshlack 2010) for calculating a mean for normalization.
The binomial distribution in 2013 is then replaced by a beta-binomial.
In the ER model, node degree follows a binomial distribution; while in BA model it follows a power law distribution.
For the contrast of the gene counts between inoculated and mock-inoculated samples we applied a statistical test implemented in the glm edgeR software [ 20, 71], which uses a negative binomial distribution to model the digital gene expression across conditions based on generalized linear models (glms) suitable for multifactor experiments of any complexity.
The statistical significance in Peptide-to-MS2 scoring for both targeted and decoy peptide models was evaluated by implementing the negative binomial distribution model.
For AT or GC skew, the signals were modelled with two binomial distributions in each strand.
DESeq implements a model based on negative binomial distribution; this model was developed with special attention to coping with biological variance and was run under R release 2.15.2.
Computations were performed in C++ with the binomial distribution function implemented in the Gnu Scientific Library.
Differential expression was calculated based on a model using the negative binomial distribution as implemented in the DESeq2 package [ 24].
Because of the discrete counting nature of the nCounter system used for miRNA profiling, positive skewness (Supporting Information Fig S2B) and overdispersion of the data (Supporting Information Fig S3B), a statistical model based on the negative binomial distribution as implemented in the DESeq package (Anders & Huber, 2010) was used to call differential miRNA expression.
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