Table 4.

The table provides results for the normal scenarios with $\mathbf{\Sigma }=0.7\mathit{I}+0.3\mathit{J}$. Included are the bias, variance, and MSE for $TC{R}_1,TC{R}_2$, and $TC{R}_3$ for each of the explored approaches.

Method	Approach	${\mathit{n}}_1,{\mathit{n}}_2,{\mathit{n}}_3$	$\mathit{T}\mathit{C}{\mathit{R}}_1$			$\mathit{T}\mathit{C}{\mathit{R}}_2$			$\mathit{T}\mathit{C}{\mathit{R}}_3$			$\mathit{Sum}\left(\mathit{T}\mathit{C}\mathit{R}\mathit{s}\right)$
			Bias	Variance	MSE	Bias	Variance	MSE	Bias	Variance	MSE	Mean
Euclidean	Logistic	$\mathrm{30,30,30}$	−0.0148	0.0082	0.0085	−0.0398	0.0070	0.0086	0.0138	0.0070	0.0072	1.9654
		$\mathrm{50,50,50}$	−0.0083	0.0054	0.0055	−0.0239	0.0048	0.0054	0.0049	0.0050	0.0050	1.9788
		$\mathrm{100,100,100}$	−0.0031	0.0035	0.0035	−0.0173	0.0027	0.0030	0.0055	0.0032	0.0033	1.9912
		$\mathrm{200,200,200}$	−0.0029	0.0021	0.0021	−0.0077	0.0017	0.0017	0.0011	0.0022	0.0022	1.9966
		$\mathrm{200,50,50}$	0.0137	0.0039	0.0041	−0.0354	0.0042	0.0054	0.0031	0.0059	0.0059	1.9875
	Yan	$\mathrm{30,30,30}$	−0.0197	0.0039	0.0043	−0.0255	0.0035	0.0044	−0.0107	0.0039	0.0040	1.9454
		$\mathrm{50,50,50}$	−0.0144	0.0025	0.0027	−0.0225	0.0021	0.0023	−0.0105	0.0023	0.0024	1.9672
		$\mathrm{100,100,100}$	−0.0091	0.0013	0.0014	−0.0084	0.0010	0.0010	−0.0061	0.0012	0.0013	1.9862
		$\mathrm{200,200,200}$	−0.0070	0.0007	0.0008	−0.0032	0.0005	0.0005	−0.0060	0.0006	0.0007	1.9941
		$\mathrm{200,50,50}$	−0.0060	0.0016	0.0016	−0.0389	0.0017	0.0019	−0.0118	0.0025	0.0026	1.9730
	Normal	$\mathrm{30,30,30}$	−0.0065	0.0020	0.0020	−0.0176	0.0015	0.0018	−0.0025	0.0020	0.0020	1.9796
		$\mathrm{50,50,50}$	−0.0052	0.0012	0.0012	−0.0093	0.0008	0.0009	−0.0026	0.0011	0.0011	1.9891
		$\mathrm{100,100,100}$	−0.0027	0.0006	0.0006	−0.0040	0.0004	0.0004	−0.0012	0.0006	0.0006	1.9984
		$\mathrm{200,200,200}$	−0.0019	0.0003	0.0003	−0.0017	0.0002	0.0002	−0.0004	0.0003	0.0003	2.0022
		$\mathrm{200,50,50}$	−0.0005	0.0006	0.0006	−0.0089	0.0005	0.0006	−0.0034	0.0011	0.0011	1.9935
	Stepwise	$\mathrm{30,30,30}$	0.0234	0.0024	0.0030	−0.0888	0.0053	0.0132	−0.0127	0.0057	0.0058	1.9281
		$\mathrm{50,50,50}$	−0.0109	0.0051	0.0052	−0.0462	0.0049	0.0070	−0.0062	0.0046	0.0046	1.9430
		$\mathrm{100,100,100}$	0.0176	0.0017	0.0020	−0.0418	0.0027	0.0044	−0.0094	0.0029	0.0030	1.9726
		$\mathrm{200,200,200}$	0.0141	0.0013	0.0015	−0.0266	0.0017	0.0024	−0.0093	0.0018	0.0019	1.9844
		$\mathrm{200,50,50}$	0.0372	0.0016	0.0030	−0.0730	0.0037	0.0090	−0.0134	0.0045	0.0046	1.9570
Youden	Logistic	$\mathrm{30,30,30}$	−0.0569	0.0138	0.0170	−0.0255	0.0197	0.0203	0.0114	0.0102	0.0104	1.9485
		$\mathrm{50,50,50}$	−0.0341	0.0090	0.0102	−0.0225	0.0149	0.0154	0.0078	0.0077	0.0078	1.9707
		$\mathrm{100,100,100}$	−0.0234	0.0060	0.0066	−0.0084	0.0095	0.0096	0.0025	0.0049	0.0049	1.9902
		$\mathrm{200,200,200}$	−0.0173	0.0038	0.0041	−0.0032	0.0068	0.0068	0.0012	0.0039	0.0039	2.0001
		$\mathrm{200,50,50}$	−0.0030	0.0064	0.0064	−0.0389	0.0136	0.0151	0.0015	0.0085	0.0085	1.9791
	Yan	$\mathrm{30,30,30}$	−0.0335	0.0071	0.0082	−0.0168	0.0087	0.0090	−0.0196	0.0063	0.0067	1.9496
		$\mathrm{50,50,50}$	−0.0201	0.0048	0.0052	−0.0114	0.0060	0.0061	−0.0143	0.0041	0.0044	1.9738
		$\mathrm{100,100,100}$	−0.0096	0.0025	0.0025	−0.0091	0.0032	0.0033	−0.0055	0.0023	0.0023	1.9952
		$\mathrm{200,200,200}$	−0.0058	0.0014	0.0015	−0.0042	0.0019	0.0020	−0.0041	0.0013	0.0013	2.0053
		$\mathrm{200,50,50}$	−0.0088	0.0032	0.0033	−0.0164	0.0042	0.0045	−0.0141	0.0041	0.0043	1.9802
	Normal	$\mathrm{30,30,30}$	−0.0150	0.0024	0.0026	−0.0023	0.0030	0.0030	−0.0117	0.0023	0.0024	1.9905
		$\mathrm{50,50,50}$	−0.0113	0.0014	0.0015	0.0003	0.0017	0.0017	−0.0069	0.0013	0.0013	2.0015
		$\mathrm{100,100,100}$	−0.0052	0.0007	0.0007	0.0003	0.0009	0.0009	−0.0035	0.0006	0.0007	2.0111
		$\mathrm{200,200,200}$	−0.0030	0.0003	0.0003	0.0003	0.0005	0.0005	−0.0015	0.0003	0.0003	2.0153
		$\mathrm{200,50,50}$	−0.0062	0.0008	0.0009	−0.0001	0.0012	0.0012	−0.0073	0.0013	0.0014	2.0058
	Stepwise	$\mathrm{30,30,30}$	−0.0445	0.0118	0.0138	−0.0508	0.0172	0.0198	−0.0231	0.0101	0.0107	1.9012
		$\mathrm{50,50,50}$	−0.0288	0.0082	0.0090	−0.0326	0.0135	0.0146	−0.0249	0.0081	0.0087	1.9332
		$\mathrm{100,100,100}$	−0.0150	0.0058	0.0060	−0.0306	0.0100	0.0110	−0.0084	0.0049	0.0050	1.9655
		$\mathrm{200,200,200}$	−0.0138	0.0037	0.0039	−0.0118	0.0067	0.0068	−0.0080	0.0035	0.0035	1.9859
		$\mathrm{200,50,50}$	−0.0042	0.0052	0.0052	−0.0484	0.0117	0.0140	−0.0163	0.0080	0.0083	1.9506