Table 5.
Comparison of CCABC and ABC variants with Wilcoxon test and Friedman test.
| Fun | Item | CCABC | DEMABC | GAABC | ISABC | NNMABC |
|---|---|---|---|---|---|---|
| F1 | AVG | 2.747E+06 | 1.300E+08 | 8.951E+07 | 1.278E+08 | 9.722E+07 |
| STD | 1.006E+06 | 2.519E+06 | 1.413E+07 | 4.222E+07 | 1.715E+08 | |
| F2 | AVG | 2.626E+03 | 3.244E+08 | 1.082E+10 | 2.869E+10 | 5.952E+09 |
| STD | 2.820E+03 | 3.711E+03 | 1.126E+09 | 8.820E+09 | 1.334E+10 | |
| F3 | AVG | 6.641E+02 | 3.433E+04 | 2.815E+04 | 5.127E+04 | 2.837E+04 |
| STD | 4.618E+02 | 3.069E+02 | 1.598E+04 | 1.383E+04 | 4.106E+04 | |
| F4 | AVG | 4.860E+02 | 4.071E+02 | 1.580E+03 | 1.268E+03 | 2.142E+03 |
| STD | 2.527E+01 | 1.688E+01 | 1.733E+02 | 1.912E+02 | 4.632E+03 | |
| F5 | AVG | 5.202E+02 | 5.200E+02 | 5.206E+02 | 5.210E+02 | 5.203E+02 |
| STD | 4.176E-02 | 2.075E-03 | 3.925E-02 | 5.065E-02 | 2.440E-01 | |
| F6 | AVG | 6.095E+02 | 6.319E+02 | 6.250E+02 | 6.417E+02 | 6.285E+02 |
| STD | 2.425E+00 | 2.498E+00 | 1.209E+00 | 1.411E+00 | 4.762E+00 | |
| F7 | AVG | 7.000E+02 | 7.325E+02 | 7.789E+02 | 1.102E+03 | 7.786E+02 |
| STD | 6.377E-05 | 3.918E-02 | 9.983E+00 | 8.340E+01 | 1.655E+02 | |
| F8 | AVG | 8.000E+02 | 9.676E+02 | 9.442E+02 | 1.296E+03 | 9.108E+02 |
| STD | 7.263E-14 | 2.253E+01 | 9.153E+00 | 2.909E+01 | 7.433E+01 | |
| F9 | AVG | 9.498E+02 | 1.185E+03 | 1.099E+03 | 1.494E+03 | 1.154E+03 |
| STD | 7.814E+00 | 1.269E+01 | 1.223E+01 | 4.721E+01 | 7.630E+01 | |
| F10 | AVG | 1.001E+03 | 3.491E+03 | 4.251E+03 | 7.701E+03 | 4.090E+03 |
| STD | 8.370E-01 | 2.844E+02 | 1.926E+02 | 3.865E+02 | 1.479E+03 | |
| F11 | AVG | 2.796E+03 | 5.353E+03 | 6.105E+03 | 8.748E+03 | 5.534E+03 |
| STD | 2.077E+02 | 3.246E+02 | 3.169E+02 | 3.448E+02 | 1.002E+03 | |
| F12 | AVG | 1.200E+03 | 1.200E+03 | 1.201E+03 | 1.203E+03 | 1.201E+03 |
| STD | 3.469E-02 | 5.825E-02 | 9.906E-02 | 3.699E-01 | 3.826E-01 | |
| F13 | AVG | 1.300E+03 | 1.301E+03 | 1.303E+03 | 1.311E+03 | 1.302E+03 |
| STD | 2.932E-02 | 1.609E-02 | 1.479E-01 | 1.118E+00 | 2.278E+00 | |
| F14 | AVG | 1.400E+03 | 1.400E+03 | 1.436E+03 | 1.685E+03 | 1.421E+03 |
| STD | 1.793E-02 | 9.209E-03 | 3.715E+00 | 3.466E+01 | 5.774E+01 | |
| F15 | AVG | 1.503E+03 | 1.514E+03 | 2.461E+03 | 6.743E+03 | 5.995E+05 |
| STD | 4.909E-01 | 2.558E+00 | 2.992E+02 | 2.940E+03 | 1.835E+06 | |
| F16 | AVG | 1.609E+03 | 1.613E+03 | 1.611E+03 | 1.614E+03 | 1.613E+03 |
| STD | 3.938E-01 | 4.817E-01 | 2.274E-01 | 1.693E-01 | 4.591E-01 | |
| F17 | AVG | 6.249E+05 | 1.885E+06 | 4.612E+06 | 8.973E+06 | 4.446E+06 |
| STD | 3.220E+05 | 7.342E+05 | 1.368E+06 | 2.772E+06 | 1.163E+07 | |
| F18 | AVG | 2.559E+03 | 2.108E+03 | 7.078E+07 | 8.338E+07 | 1.125E+08 |
| STD | 9.569E+02 | 4.348E+02 | 2.149E+07 | 3.711E+07 | 4.591E+08 | |
| F19 | AVG | 1.905E+03 | 1.913E+03 | 1.977E+03 | 2.034E+03 | 1.991E+03 |
| STD | 9.290E-01 | 7.154E-01 | 1.722E+01 | 3.424E+01 | 1.427E+02 | |
| F20 | AVG | 7.138E+03 | 2.227E+04 | 5.849E+03 | 1.596E+04 | 5.796E+04 |
| STD | 2.144E+03 | 1.684E+03 | 1.480E+03 | 4.704E+03 | 2.870E+05 | |
| F21 | AVG | 1.064E+05 | 2.746E+05 | 1.129E+06 | 6.199E+06 | 1.455E+06 |
| STD | 5.625E+04 | 3.241E+04 | 3.775E+05 | 3.034E+06 | 3.336E+06 | |
| F22 | AVG | 2.380E+03 | 1.297E+04 | 2.829E+03 | 2.803E+03 | 2.837E+03 |
| STD | 7.395E+01 | 9.172E+01 | 1.118E+02 | 1.107E+02 | 1.909E+02 | |
| F23 | AVG | 2.615E+03 | 2.632E+03 | 2.668E+03 | 2.789E+03 | 2.707E+03 |
| STD | 1.665E-03 | 9.021E-03 | 1.137E+01 | 5.372E+01 | 2.050E+02 | |
| F24 | AVG | 2.600E+03 | 2.642E+03 | 2.625E+03 | 2.912E+03 | 2.698E+03 |
| STD | 1.291E-02 | 3.204E+00 | 7.217E+00 | 2.492E+01 | 8.169E+01 | |
| F25 | AVG | 2.700E+03 | 2.718E+03 | 2.710E+03 | 2.788E+03 | 2.722E+03 |
| STD | 0.000E+00 | 1.652E+00 | 3.137E+00 | 2.264E+01 | 1.739E+01 | |
| F26 | AVG | 2.700E+03 | 2.800E+03 | 2.702E+03 | 2.704E+03 | 2.713E+03 |
| STD | 1.105E-01 | 5.848E-02 | 4.243E-01 | 4.914E-01 | 2.869E+01 | |
| F27 | AVG | 3.064E+03 | 3.258E+03 | 3.176E+03 | 3.746E+03 | 3.702E+03 |
| STD | 4.019E+01 | 1.920E+02 | 1.317E+01 | 1.921E+02 | 2.751E+02 | |
| F28 | AVG | 3.649E+03 | 9.875E+03 | 4.259E+03 | 4.783E+03 | 5.087E+03 |
| STD | 3.105E+01 | 4.773E+02 | 5.202E+01 | 1.587E+02 | 8.883E+02 | |
| F29 | AVG | 4.438E+03 | 4.109E+03 | 1.181E+06 | 2.132E+06 | 4.451E+06 |
| STD | 4.508E+02 | 2.233E+02 | 4.541E+05 | 9.942E+05 | 1.409E+07 | |
| F30 | AVG | 5.808E+03 | 3.535E+04 | 6.266E+04 | 5.016E+04 | 2.390E+04 |
| STD | 8.399E+02 | 2.860E+03 | 1.530E+04 | 1.235E+04 | 3.092E+04 |