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We determined a mean correlation value of 0.97 for the technical replicates.
Following intensity value computation and quantile normalization of the miRNA profiles [ 16], we determined a mean correlation value of 0.97 for technical replicates by using purchased total RNA from Ambion (four heart and four liver replicates).
Thirdly, items in the area above mean correlation value and below mean item score were identified (encircled area).
In this case, the mean correlation value between all time series pairs was equal to a (mbox{Pearson's } r=0.57).
Only seven such probeset pairs were found and the mean correlation value between their expression profiles was 0.61 with a standard deviation of 0.13.
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Therefore, in order to calculate the important statistical properties of our system we need to combine the previously derived results of the coherent background with the mean correlation values of the quantum fluctuations.
In this matrix, pairs of genes that have high mean correlation values are considered to be coexpressed in each dataset.
Correlation levels were slightly but statistically significantly lower in tumor in respect to normal tissue (mean correlation values = 0.85 and 0.87 for tumor and normal tissue respectively, paired t-test p-value = 1.36 × 10−10).
Similarly to the previous case, the correlations for the distance-based comparison were close to zero; moreover, the difference in the mean correlation values between cases 1 and 2 was not statistically significant.
Following outlier correction procedure (upper and lower 2.5 percentiles of HbA1c), mean HbA1c values were used for seasonal variability evaluation through autocorrelations, a method that is aimed at internal pattern detection and based on mean correlation values between preceding and subsequent values of HbA1c measured in months distant from each other by set intervals.
The minimum distances of the spot for an averaged MU and MUs in our experiments were 976 and 639 μm in H1 and H3, respectively, and the mean correlation values were already below the significance threshold (P < 0.05) at these distances (Fig. 7 Ac, Bc).
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