However, this does not mean that the process of cross-hybridization plays a substantial role in the correlation structure of microarray data for the following reasons: 1. Inequality (5) provides a necessary but not a sufficient condition for the correlation Corr(Z1, Z2) to exceed a certain level.
Based on the breakdown of total number of associated pairs for each laboratory condition for the 0.8 correlation data set, the phenotypes that have 10 or more associated COGs have a more likely chance of containing confirmed literature hits.
The soil-derived particles showed a wide range of potency, a necessary condition for doing a correlation study, and several of the soils induced an IL-6 response that was comparable with the response induced by soluble vanadium, the major active component in residual oil fly ash (Samet et al. 1997).
This is not circular reasoning; rather, because congruence between distinct data sources is a reliable indicator that they reflect the same underlying evolutionary history (e.g., [ 50]), the high quality of the morphological datasets [ 22, 23, 59] is a necessary condition for obtaining high correlation values.
Because we removed the genes that are contained in correlation clusters for both disease conditions, the remaining genes that are in correlation clusters for one of the disease conditions are considered as differentially correlated for correlation threshold t.
Since the number Q of ICs generated by PICA differs for each subject for each condition, the correlation threshold applied for choosing task-related ICs differs for each subject, for each condition.
In Figure 3E we show a simulated example scenario for condition specific correlation changes of the expression profiles for a gene set.
While 'screening off' may provide a necessary condition for showing that a correlation between variables is due to a common cause, this necessary condition is guaranteed to be fulfilled by the underlying arithmetic of the probability calculus.
The points on each correlation represent a general practice service and for each condition the correlation graphs show that practices with high prevalence of depression also have high prevalence of depression.
