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Identifying Differentially Expressed Gene Combinations 185Fig. 6. Comparisons of power for detecting cross patterns as a function of the angle θbetween the correlations of the two classes. Methods are identified by different shades ofgray. Eigenvalues used to simulate the bivariate normal are listed at the top of each panel.Now consider separately the two versions of the ECF-statistic. The ECF y|xinvestigates how well one can predict class using y for a fixed x, whereas theECF x|yinvestigates how well one can predict class using x for a fixed y. Figure 7shows power of both versions in an additional scenario in which the ellipsoids areyet narrower than in Fig. 6. The ECF x|yand ECF y|xshow markedly differentbehavior, as the power of ECF y|xdecreases when the data of phenotypic class 2 is

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