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Duplicate printings of each probe on each array were combined using the common correlation method of [ 51].
The common correlation measure by Pearson is defined as (2) where X i and X j are the expression levels of genes i and j, denotes the covariance, and is the standard deviation.
For two measurements m u and m v we thus use the logarithm inside the common correlation index cor (m u, m v ) = log (1 + min { m u, m v } ) log (1 + max { m u, m v } ) (we define cor 0, 0) := 0) which is a symmetric two-variate function with codomain [0, 1].
The duplicate spots for each probe, printed on the top and bottom halves of each slide, were combined using the common correlation method and using an estimated duplicate correlation of 0.50 for the first experiment and 0.72 for the second (Smyth et al. 2005b).
The common correlation assumption implies that if several separate multivariate meta-analyses were conducted with the same outcomes, each with a different set of k versus b comparison, the assumption is that the between-study correlations would be the same across the different sets of bk comparisons.
Under the above set-up, the common correlation model (CCM) (see Mak [ 15], Bloch and Kraemer [ 16]) provides an appropriate description for the joint distribution of (Y ij, Y il ): P11 = P(Y ij = 1, Y il = 1) = π2 + ρπ(1 - π).
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This part presented the comparison between the common correlations used to calculate the solution gas oil ratio (Rs) for gas condensate in the literature.
First, the common correlations will be described, followed by a description of differences between groups.
This phenomenon is in contrast with the most common correlation for polymer degradation, which predicts the existence of an asymptotic (but finite) limit to the reduced drag reduction.
An analysis of the most common correlation functionals, e.g. those introduced by Lee, Yang and Parr and by Perdew and Wang in 1991, will be also carried out.
The most common correlation was positive, and those that showed R values over 0.3 are putative Est1, Hsp70-like, RecQL, Smh6, and Rad51-like.
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