Unlike the classical meta-analysis approach [25] which tries to identify sets of relevant genes shared by independent studies, we abandoned the concept of the selection of important genes as main goal of the procedure, to shift toward an unsupervised approach centered on the elucidation of major fluxes of gene expression correlations as defined by principal component analysis.
The item reduction criteria applied to the 34-item version of the IBS-QOL resulted in many items having high bivariate correlations, as defined as r ≥ 0.7.
*In the Italian translation, test-retest reliability was not analyzed because the patients were not in a stable phase between visit 1 and 2. In the Afrikaans versions, correlations (as defined by a Pearson's product moment correlation = 0.3) were only observed between the GSRS Abdominal pain domain and the QOLRAD Emotional distress and Physical/social functioning domains.
The DNB ratio (DNBR), which is defined as the ratio of the critical heat flux to the heat flux achieved in the core, was computed by means of a suitable correlation as defined in PARET code.
In order to complete these results, we next study the whole finite sample distribution of the cross-correlations considered focusing on the first lag.3 Table 1 reports the Monte Carlo means and standard deviations (in parenthesis) of the first order sample cross-correlation, as defined in (2), and of the four robust cross-correlations introduced in Sect.
For each subsample considered, we compute the first order sample cross-correlation, (r_{12}(1),) using Eq. (2) and the corresponding robust weighted cross-correlation, (r_{12,W}(1),) as defined in Eq. (15), for both the original return series and the outlier-adjusted return series of Charles and Darné (2014 5.
It is now obvious that the product of the overlapping data positions (shown by the shaded portion) denotes the triple correlation function as defined by (3). Figure 1 Physical representation of cumulants [ 4 ].
The cophenetic correlation coefficient, as defined below, was used to select the most appropriate combination (i.e. metrics, linkage procedure).
We use a predefined metric (see below) to map the Pearson's r correlation coefficient (as defined by Wellek and Ziegler [ 2009]) between the two SNPs to a score between 0 and 100, where higher values are considered better.
The quality of predictions are evaluated on the basis of the following indicators [ Tompa et al. 2005]: where Sn is the Sensitivity, PPV the Positive Predicted Value, SP the Specificity, PC the Performance Coefficient and CC the Correlation Coefficient, as defined in [ Tompa et al. 2005].
In comparison to FCS, the species auto-correlation function (SACF) as defined in Equation (12) with i= m assumes that other species are essentially non-fluorescent.
