To examine the effect of correlation, we define a correlation index that captures the degree of correlation: (21).
Then, we define a correlation matrix Λ whose diagonal elements are the correlation coefficients λ d (d = 1,2,..., D).
Follow the same line of derivation in [12], let us define a correlation matrix of the effective channel,.
The identification of different levels of correlation strength was covered by defining a correlation "strength factor" and covered in Abd El-Moniem and El-Banbi (2015).
The purpose of this study was to define a correlation between telomerase activity and human papillomavirus (HPV) in normal control tissue and in benign, premalignant and malignant cervical lesions.
However, to better define a correlation between the reduced levels of CA3 in MDX-Ex mice and the recovery of damaged fibres-specific investigations are needed, since the reduction in CA3 levels in MDX-Ex mice could be secondary to muscle recovery itself.
Because the data is very large and there are many genes with their expressions that either do not change cross samples or change randomly, we filter out the genes by defining a correlation measure with GAUCS for each gene xi R t, x i) = |2 GAUCS t, x i) - 1|, where R = 1 when GAUCS = 0, or 1 and R = 0 when GAUCS = 0.5 (gene x i is not associated with the survival time).
Finally, as an additional method of quantifying the linear relationships between pairs of corpora (i.e., two multidimensional variables), we defined an "overall correlation" OC based on the norms of the covariant matrices, which are the natural generalization to higher dimensions of the concept of the variance of a scalar-valued random variable.
Convergent validity is demonstrated when an item correlates highly with its own hypothesised scale, defined as a correlation of ⩾0.40 (corrected for overlap) (Fayers and Machin, 2007).
