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. 2024 May 9;9(5):283. doi: 10.3390/biomimetics9050283

Table 4.

Matrix of p-values from the Wilcoxon–Mann–Whitney test for the BGO against the SCA, PSA, and GWO in different instances. In green the p-values lower than 0.05 where BGO exhibits statistically lesser results, and in red the p-values greater than 0.95 where BGO exhibits statistically greater results compared to other metaheuristics.

SCA PSA GWO
41 0.032526 0.017652 0.00505
42 0.083416 0.008453 0.178185
43 0.142326 0.017925 0.040147
44 0.673895 0.358608 0.17129
45 0.000777 0.000075 0.020949
46 0.777121 0.101089 0.947336
47 0.026426 0.027054 0.221067
48 0.049813 0.015255 0.092276
49 0.231335 0.000373 0.457734
410 0.971242 0.800105 0.837222
51 0.08422 0.204932 0.769852
52 0.656474 0.235486 0.368845
53 0.849024 0.509173 0.926297
54 0.378881 0.037574 0.588779
55 0.020766 0.000228 0.174886
56 0.194771 0.069321 0.212655
57 0.008287 0.006762 0.049149
58 0.990298 0.424729 0.538867
59 0.025665 0.003579 0.027499
510 0.379496 0.110218 0.883339
61 0.013689 0.00103 0.052988
62 0.396878 0.125416 0.666065
63 0.115385 0.09021 0.154446
64 0.297105 0.034655 0.552952
65 0.185046 0.147401 0.482672
a1 0.000253 0.008388 0.926324
a2 0.124053 0.002265 0.431456
a3 0.016308 0.000256 0.100149
a4 0.003371 0.012922 0.550884
a5 0.000524 0.082315 0.023963
b1 0.213058 0.151325 0.43297
b2 0.146666 0.038143 0.375167
b3 0.345372 0.245959 0.612847
b4 0.090897 0.002352 0.33707
b5 0.887149 0.548425 0.975947
c1 0.002907 0.001879 0.385972
c2 0.114905 0.028943 0.175642
c3 0.000398 0.0 0.539888
c4 0.002055 0.000006 0.039399
c5 0.026575 0.320787 0.991447
d1 0.892595 0.950455 0.506028
d2 0.010529 0.06074 0.033358
d3 0.31389 0.004401 0.887789
d4 0.039419 0.000385 0.025442
d5 0.504675 0.097037 0.250647
nre5 0.1169 0.000888 0.072876
nrg5 0.202966 0.009097 0.41873
nrh2 0.013674 0.003689 0.440986
nrh4 0.004821 0.000504 0.335568
nrh5 0.011639 0.000306 0.052988