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Gene expression profiling provides us with a matrix of n expression values measured for p genes where p is much larger than n, typically somewhere between one and three orders of magnitude.

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An analogous idea with Gaussian graphical models associated to undirected graphs is to employ limited-
order partial correlations, concretely, q-order partial correlations with q < .n   2/. In this way, we can
carry out a test for the hypothesis of zero q-order partial correlation between two genes with the hope
that if they are not directly associated, their indirect association is mediated by less or equal than q
other genes.
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