Classification of Monotone Gene Profiles Using Information Theory Selection Methods

In the previous chapter, we discussed the order-restricted δ-clustering method for clustering subsets of genes with similar monotone dose-response profiles. In this chapter, we focus on a second approach in which clustering is based on information criteria (Lin et al. 2009 ; Liu et al. 2009a,b). As we mentioned in Chap. 9, for a dose-response experiment with K + 1 dose levels, after an initial filtering, there are a finite number of monotone dose-response ANOVA models which can be fitted to the data. For example, for a four dose-level experiment, there are, for each direction, seven dose-response profiles (listed in Table 9.1 and shown in Fig. 9.1 can be fitted.

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