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Houseman, E. A. et al. Model-based clustering of DNA methylation array data: a recursive-partitioning algorithm for high-dimensional data arising as a mixture of beta distributions.
However, when the reaction was performed without using any fuel, the obtained phase was a mixture of beta and gamma nano-alumina.
For inference, data were clustered using a mixture model [48] with a mixture of beta distributions [49], and the number of classes was determined by Bayesian information criterion (BIC) [50], [51].
In mice, one previous study has used chimeras to demonstrate that each islet consists of a mixture of beta cells originating from a pool of progenitor cells [14], but this has not been determined for human islets.
In situations where the prevalence of PV is distributed as a mixture of beta distributions, the results were basically the same (Additional file 2: Tables S6 S10).
Gadbury's procedure fits a two-component mixture of Beta variates to the distribution of P-values of gene-specific differential expression tests.
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The isomeric mixture of beta-amyrin and alpha-amyrin is known by its antimicrobial activity [ 21], and 72.81% of the relative amount of the hexanic extract from fruits is constituted by esters of these substances.
The other class of methods focuses on modeling over-dispersion in read counts, by means of models such as negative-binomial model, Poisson-Gamma model, beta-binomial model, and two-component mixture of beta-binomial model [ 19, 23– 26].
Consequently, a large proportion of samples were misclassified when we attempted unsupervised clustering using bivariate finite mixture model approaches, first with PlatinumCNV [ 18], then with our own, mixture of beta-Gaussian distributions, approach.
Several biological studies are carried out for mixtures of beta- and alpha- amyrin type triterpenes [ 21, 27, 28], since their separation by conventional chromatographic methods is quite difficult [ 29].
Data were generated from the Uniform distribution or varying mixtures of Beta distributions based on the inference regarding the patterns of p-values as described in Section Global tests and Figure 1.
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