Table 4. Empirical sizes and powers of $T_{{\omega }_{opt}}$ and $Z_{corr}$ with normal distribution for partially paired data.

		$T_{{\omega }_{opt}}$			$Z_{corr}$
n	ρ	0	0.5	0.8	0	0.5	0.8
$\delta =0$	m = 30
20		0.0563	0.0581	0.0624	0.0532	0.0557	0.0543
60		0.0598	0.0611	0.0623	0.0552	0.0554	0.0576
$\delta =0.2$	m = 30
20		0.1506	0.2293	0.4316	0.1501	0.2060	0.2790
60		0.1757	0.2423	0.4453	0.1686	0.2020	0.2406
$\delta =0.5$	m = 30
20		0.5877	0.8282	0.9918	0.5844	0.7885	0.9254
60		0.6691	0.8506	0.9922	0.6617	0.7790	0.8601
$\delta =0$	m = 50
20		0.0544	0.0569	0.0542	0.0530	0.0531	0.0527
60		0.0560	0.0568	0.0573	0.0541	0.0548	0.0510
$\delta =0.2$	m = 50
20		0.2083	0.3141	0.6261	0.2054	0.2867	0.4616
60		0.2262	0.3390	0.6394	0.2220	0.2962	0.3907
$\delta =0.5$	m = 50
20		0.7785	0.9561	0.9999	0.7777	0.9424	0.9957
60		0.8396	0.9655	0.9998	0.8384	0.9410	0.9819