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Table 4 Combined Hamming distance and probability for a pair of genes, members of two pathways

From: Multi-membership gene regulation in pathway based microarray analysis

Hamming/
Probability
0/0.333 1/0.444 2/0.222
0/0.333 0(0+0)/
0.111(0.333 × 0.333)
1(1+0)/
0.148(0.444 × 0.333)
2(2+0)/
0.074(0.222 × 0.333)
1/0.444 1(0+1)/
0.148(0.333 × 0.444)
2(1+1)/
0.197(0.444 × 0.444)
3(2+1)/
0.987(0.222 × 0.444)
2/0.222 2(0+2)/
0.074(0.333 × 0.222)
3(1+2)/
0.987(0.444 × 0.222)
4(2+2)/
0.049(0.222 × 0.222)
  1. Table 4 exemplifies how to estimate the combined hamming distance for two multi-membership genes, members of two distinct biochemical pathways each, along with the respective combined probability. Here again, we assume that any configuration, where each gene is allocated to at least one pathway is valid and that each one is equally likely to occur by chance.