Table 16 Wilcoxon rank–sum test and t-test results of recent algorithms for the CEC 2019 benchmark functions.
From: Learning cooking algorithm for solving global optimization problems
Functions | LCA vs | LCA vs | LCA vs | LCA vs | LCA vs | LCA vs | LCA vs | LCA vs | |
|---|---|---|---|---|---|---|---|---|---|
IGWO | MWOA | TLBO | MTBO | BWO | HHO | MGO | SCSO | ||
\({\text {CEC19-1}}\) | \(p-value\) | 9.207E–05 | 9.207E–05 | 1.074E–04 | 9.207E–05 | 1.074E–04 | 9.207E–05 | 9.207E–05 | 9.207E–05 |
\(t-test\) | –4.358E+00 | –3.325E+00 | –3.484E+00 | –3.560E+00 | 6.533E+00 | 9.935E+00 | 1.141E+01 | 1.142E+01 | |
\({\text {CEC19-2}}\) | \(p-value\) | 7.815E–05 | 9.207E–05 | 7.815E–05 | 7.815E–05 | 5.565E–01 | 9.207E–05 | 7.815E–05 | 3.701E–03 |
\(t-test\) | 1.197E+01 | 1.181E+01 | 1.197E+01 | 1.197E+01 | 5.551E–01 | 1.088E+01 | 1.197E+01 | 3.796E+00 | |
\({\text {CEC19-3}}\) | \(p-value\) | 2.401E–05 | 8.356E–05 | 8.139E–06 | 8.139E–06 | 9.207E–05 | 9.207E–05 | 8.139E–06 | 4.592E–05 |
\(t-test\) | –4.880E+03 | –2.269E+02 | –2.871E+09 | –4.125E+08 | –7.272E+00 | –1.055E+01 | –7.626E+04 | –3.220E+00 | |
\({\text {CEC19-4}}\) | \(p-value\) | 9.207E–05 | 9.207E–05 | 9.207E–05 | 9.207E–05 | 1.074E–04 | 9.207E–05 | 9.207E–05 | 9.207E–05 |
\(t-test\) | 1.874E+01 | 1.845E+01 | 1.873E+01 | 1.874E+01 | 8.417E+00 | 1.861E+01 | 1.875E+01 | 1.741E+01 | |
\({\text {CEC19-5}}\) | \(p-value\) | 9.207E–05 | 9.207E–05 | 9.207E–05 | 9.207E–05 | 4.043E–04 | 9.207E–05 | 9.207E–05 | 9.207E–05 |
\(t-test\) | 2.198E+01 | 1.834E+01 | 2.493E+01 | 2.435E+01 | 5.628E+00 | 1.198E+01 | 2.443E+01 | 2.127E+01 | |
\({\text {CEC19-6}}\) | \(p-value\) | 1.105E–01 | 2.006E–03 | 3.002E–01 | 1.024E–01 | 1.587E–01 | 6.142E–04 | 6.142E–04 | 9.207E–05 |
\(t-test\) | –1.305E+00 | 3.461E+00 | –1.080E+00 | –1.531E+00 | –1.604E+00 | 4.920E+00 | 2.880E+00 | 9.367E+00 | |
\({\text {CEC19-7}}\) | \(p-value\) | 1.961E–04 | 7.042E–04 | 7.042E–04 | 1.564E–02 | 3.701E–03 | 1.074E–04 | 9.207E–05 | 1.368E–03 |
\(t-test\) | 6.212E+00 | 5.269E+00 | 5.066E+00 | 2.958E+00 | –3.861E+00 | 7.966E+00 | 1.138E+01 | 5.245E+00 | |
\({\text {CEC19-8}}\) | \(p-value\) | 9.207E–05 | 1.282E–01 | 9.207E–05 | 2.630E–04 | 4.096E–02 | 2.571E–02 | 9.207E–05 | 3.039E–04 |
\(t-test\) | 1.503E+01 | 1.492E+00 | 1.070E+01 | 5.732E+00 | –2.431E+00 | 2.963E+00 | 8.491E+00 | 5.335E+00 | |
\({\text {CEC19-9}}\) | \(p-value\) | 9.207E–05 | 9.207E–05 | 9.207E–05 | 9.207E–05 | 9.207E–05 | 9.207E–05 | 9.207E–05 | 9.207E–05 |
\(t-test\) | 2.818E+01 | 2.816E+01 | 2.818E+01 | 2.818E+01 | 8.250E+00 | 2.818E+01 | 2.818E+01 | 2.816E+01 | |
\({\text {CEC19-10}}\) | \(p-value\) | 1.915E–02 | 1.074E–04 | 5.261E–03 | 1.270E–02 | 6.882E–01 | 9.207E–05 | 1.691E–04 | 9.207E–05 |
\(t-test\) | 1.516E+00 | 8.839E+00 | 1.589E+00 | 2.449E+00 | 4.510E–01 | 1.014E+01 | 1.607E+00 | 1.259E+01 | |
