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For example, gestures were designed to illustrate the different types of variance underlying the ANOVA formula.
To simultaneously model multiple types of variance and deal with multiple groups, a model based logistic regression with over-dispersion was introduced in [ 22].
This method takes two types of variance into account when estimating the total variance and the degrees of freedom are calculated based on the number of clusters [ 31].
The statistical significance of gene expression changes measured in RNA-Seq experiments must account for the effects of these different types of variance in each measurement.
In contrast to other types of variance component analysis, such as Principal Component Analysis (PCA), correspondence analysis has the advantage of allowing one to not only show the distribution of genes in the multidimensional space, but also to show the corresponding distribution of synonymous codons (as shown in Figures 2A and 2B).
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REML (Restricted maximum likelihood) was used as the estimation method when trying different types of variance-covariance matrices.
Next, we proceeded to present evidence for the proportionality between the 2 types of variances of gene expressions, i.e., of genetic and epigenetic origins over many genes.
Although direct experimental support is not yet available, recent studies conducted by Laundry et al. [ 25] on such variances in yeast suggest the existence of a correlation between the 2 types of variances (see also [ 26]).
Interestingly, the 2 types of variances (even after being normalized by the mean) showed remarkable proportionality over different phenotypic traits (see Figure 2 of [ 28]), in agreement with our theory.
We computed robustness to both factors using the 2 types of variances, V ip and V g, where the former was the noise-induced variance in the distribution of the fitness (i.e., the number of "on" target genes), in a population of isogenic individuals and V g is the variance in the distribution of fitness in a heterogenic population.
Under such conditions, the two types of variances in the gene expression levels, i.e. those due to mutations to the gene regulation network and those due to noise in gene expression dynamics were found to be proportional over a number of genes.
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