Table 2.
Influence of the replacement method on the Conserved Pairs Proportion (CPP). The numbers of clusters defined per metric are indicated (Kalgo). The CPP and CPPf values are given for the (1/7) subset of Ogawa [26] with missing values introduced (a) in the entire subsets and (b) only in extreme values (values > 1.5 or < -1.5). The CPP was computed by using the seven algorithms on the data without replacing the MVs (MV), after replacing the MVs by the kNN method (kNN) with the kopt values (see Table 3), or, after replacing the MVs by zero (zero). For kNN and zero values, the CPP and CPPf (with f = 5) values are given in (%). The percent of gain for all the simulations is indicated (+/-), i.e. the proportion of simulations with a better CPP value than the CPP value of MV. The values given in this table are the average values for MV in the range [1%; 50%] of genes with one MV per genes.
| (a) | |||||||||||
| CPP | CPPf | ||||||||||
| MV | kNN | zero | MV | kNN | zero | ||||||
| Algorithm | K algo | (%) | (%) | (+/-) | (%) | (+/-) | (%) | (%) | (+/-) | (%) | (+/-) |
| single | 175 | 96.4 | 98.3 | 99.3 | 98.2 | 99.6 | 98.8 | 99.1 | 53.7 | 99.0 | 47.8 |
| centroid | 175 | 95.3 | 96.0 | 74.8 | 95.7 | 64.1 | 97.7 | 97.9 | 57.6 | 97.8 | 53.3 |
| average | 83 | 73.2 | 75.3 | 66.3 | 74.8 | 62.0 | 92.0 | 92.5 | 54.4 | 93.0 | 57.6 |
| median | 165 | 70.1 | 71.5 | 55.2 | 72.2 | 54.4 | 85.2 | 86.0 | 52.8 | 86.2 | 52.1 |
| mcquitty | 48 | 58.2 | 59.1 | 54.5 | 58.6 | 50.1 | 74.9 | 75.3 | 51.9 | 75.1 | 49.5 |
| Ward | 19 | 51.0 | 52.4 | 62.4 | 50.7 | 49.1 | 71.8 | 73.3 | 60.2 | 71.5 | 49.1 |
| complete | 36 | 47.9 | 49.2 | 60.4 | 48.4 | 51.9 | 71.9 | 72.7 | 53.7 | 72.1 | 51.6 |
| (b) | |||||||||||
| CPP | CPPf | ||||||||||
| MV | kNN | zero | MV | kNN | zero | ||||||
| Algorithm | K algo | (%) | (%) | (+/-) | (%) | (+/-) | (%) | (%) | (+/-) | (%) | (+/-) |
| single | 175 | 97.9 | 98.4 | 98.5 | 98.7 | 98.3 | 98.8 | 99.3 | 86.9 | 99.7 | 76.6 |
| centroid | 175 | 96.5 | 96.7 | 64.8 | 96.8 | 60.6 | 98.5 | 98.5 | 55.9 | 97.7 | 32.8 |
| average | 83 | 81.4 | 81.0 | 45.1 | 83.3 | 66.1 | 93.9 | 94.5 | 57.0 | 94.9 | 61.3 |
| median | 165 | 75.0 | 74.2 | 45.7 | 74.2 | 47.9 | 87.0 | 86.5 | 50.3 | 85.1 | 45.4 |
| mcquitty | 48 | 71.6 | 71.3 | 48.1 | 71.9 | 51.0 | 83.1 | 83.2 | 49.6 | 84.6 | 58.2 |
| Ward | 19 | 63.8 | 62.4 | 42.1 | 60.8 | 29.9 | 83.0 | 81.1 | 37.1 | 79.8 | 27.0 |
| complete | 36 | 56.5 | 55.2 | 44.5 | 56.0 | 47.2 | 75.7 | 74.6 | 46.1 | 74.6 | 45.0 |