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This process was repeated for 10,000 times; the resulting distributions of both coexpression index and mean coexpression index were fit to the Gaussian density function.
The P values of the coexpression index and mean coexpression index from the real data were determined according to the derived probability distribution by the simulation.
We next determined the P value of both the coexpression index and mean coexpression index at the window size of 20 genes by Monte-Carlo simulation.
For the ES and EB expression data, the mean coexpression index was 0.027 and 0.021 respectively.
The plots (Supplementary Fig. S1 [see Additional file 1]) further showed that the mean coexpression index decreased greatly when the neighboring gene number increased from 2 to 20.
The P value of the mean coexpression index values after the removal of tandem duplication genes was still very low (below 0.00001 in both ES and EB).
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In order to statistically examine whether genes are significantly coexpressed on the chromosome, we calculated the mean value of the coexpression index for the entire set of expressed genes on the genome.
Coexpression index and mean co-expression index values were calculated from 10,000 randomized genome data (see Methods).
The STAT3 gene, located at 17q21, was coexpressed in ES (coexpression index 0.37) but not in EB (-0.17) (Table 3).
The coexpression index of each gene and mean values of the coexpression index of each data set were then calculated from the random data.
The derived Monte-Carlo distributions (Supplementary Fig. S2 [see Additional file 2] and S3 [see Additional file 3]) allowed determination of the P value for the coexpression index of a given gene or the mean co-expression index of a given set of genes.
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