Table 17.

Wilcoxon signed-rank sum test for IEEE 30 bus test system.

Cases	mAHA vs. AHA		mAHA vs. HHO		mAHA vs. RUN		mAHA vs. SCA		mAHA vs. SMA		mAHA vs. TSA		mAHA vs. WOA
	$\mathrm{p}$-value	${\mathrm{H}}_0$	$\mathrm{p}$-value	${\mathrm{H}}_0$	$\mathrm{p}$-value	${\mathrm{H}}_0$	$\mathrm{p}$-value	${\mathrm{H}}_0$	$\mathrm{p}$-value	${\mathrm{H}}_0$	$\mathrm{p}$-value	${\mathrm{H}}_0$	$\mathrm{p}$-value	${\mathrm{H}}_0$
Case 1	0.1236	1	8.8966e−07	0	2.1389e−04	0	8.8966e−07	0	0.0686	1	8.8966e−07	0	8.8966e−07	0
Case 2	8.8966e−07	0	8.8966e−07	0	8.8966e−07	0	8.8966e−07	0	8.8966e−07	0	8.8966e−07	0	8.8966e−07	0
Case 3	0.4979	1	8.8966e−07	0	1.1066e−05	0	8.8966e−07	0	4.1825e−05	0	8.8966e−07	0	8.8966e−07	0
Case 4	0.2470	1	8.8966e−07	0	1.1351e−04	0	8.8966e−07	0	0.0742	1	8.8966e−07	0	8.8966e−07	0
Case 5	0.3614	1	8.8966e−07	0	1.0906e−06	0	8.8966e−07	0	0.3461	1	8.8966e−07	0	8.8966e−07	0
Case 6	0.3090	1	8.8966e−07	0	0.0686	1	8.8966e−07	0	5.6708e−04	0	8.8966e−07	0	8.8966e−07	0
Case 7	0.1039	1	8.8966e−07	0	8.8966e−07	0	8.8966e−07	0	8.8966e−07	0	8.8966e−07	0	8.8966e−07	0
Case 8	0.0089	0	8.8966e−07	0	8.8966e−07	0	8.8966e−07	0	4.2312e−04	0	8.8966e−07	0	8.8966e−07	0
Case 9	0.1868	1	9.8524e−07	0	3.2293e−05	0	8.8966e−07	0	1.4758e−06	0	0.2342	1	8.8966e−07	0
Case 11	8.8966e−07	0	8.8966e−07	0	8.8966e−07	0	8.8966e−07	0	4.7702e−06	0	8.8966e−07	0	8.8966e−07	0