Table 4 Empirical powers for tests JT and CP with 4 ordinal categories(k = 3).

From: Testing Association between Mixed Type Outcomes and Covariates Jointly by the Use of a Latent Variable

ρ	α ₁	β ₁	JT	CP	ρ	α ₁	β ₁	JT	CP
α ₀ = 0.2, β ₀ = 0.2
0.3	0	0.15	0.846	0.784	0.7	0	0.15	0.968	0.692
0.3	0.05	0.15	0.83	0.81	0.7	0.05	0.15	0.868	0.7
0.3	0.15	0.15	0.96	0.978	0.7	0.15	0.15	0.91	0.946
0.3	0.15	0.05	0.842	0.872	0.7	0.15	0.05	0.934	0.79
0.3	0.15	0	0.872	0.856	0.7	0.15	0	0.992	0.816
0.4	0	0.15	0.868	0.776	0.8	0	0.15	0.994	0.672
0.4	0.05	0.15	0.824	0.804	0.8	0.05	0.15	0.956	0.76
0.4	0.15	0.15	0.946	0.968	0.8	0.15	0.15	0.89	0.946
0.4	0.15	0.05	0.878	0.85	0.8	0.15	0.05	0.956	0.76
0.4	0.15	0	0.906	0.858	0.8	0.15	0	0.996	0.806
0.5	0	0.15	0.878	0.716	0.9	0	0.15	0.996	0.636
0.5	0.05	0.15	0.798	0.732	0.9	0.05	0.15	0.978	0.642
0.5	0.15	0.15	0.942	0.964	0.9	0.15	0.15	0.89	0.93
0.5	0.15	0.05	0.868	0.822	0.9	0.15	0.05	0.998	0.712
0.5	0.15	0	0.918	0.822	0.9	0.15	0	0.998	0.766
0.6	0	0.15	0.946	0.738	0.99	0	0.15	0.998	0.626
0.6	0.05	0.15	0.83	0.772	0.99	0.05	0.15	0.996	0.644
0.6	0.15	0.15	0.916	0.938	0.99	0.15	0.15	0.852	0.874
0.6	0.15	0.05	0.9	0.824	0.99	0.15	0.05	0.996	0.71
0.6	0.15	0	0.962	0.84	0.99	0.15	0	0.998	0.756
α ₀ = 1.2, β ₀ = 1.2
0.3	0	0.15	0.696	0.618	0.7	0	0.15	0.856	0.552
0.3	0.05	0.15	0.706	0.688	0.7	0.05	0.15	0.722	0.584
0.3	0.15	0.15	0.936	0.968	0.7	0.15	0.15	0.9	0.93
0.3	0.15	0.05	0.816	0.874	0.7	0.15	0.05	0.918	0.81
0.3	0.15	0	0.836	0.872	0.7	0.15	0	0.972	0.85
0.4	0	0.15	0.72	0.644	0.8	0	0.15	0.948	0.548
0.4	0.05	0.15	0.698	0.69	0.8	0.05	0.15	0.774	0.608
0.4	0.15	0.15	0.936	0.946	0.8	0.15	0.15	0.888	0.93
0.4	0.15	0.05	0.844	0.862	0.8	0.15	0.05	0.93	0.796
0.4	0.15	0	0.882	0.846	0.8	0.15	0	0.988	0.818
0.5	0	0.15	0.744	0.586	0.9	0	0.15	0.988	0.482
0.5	0.05	0.15	0.682	0.644	0.9	0.05	0.15	0.876	0.552
0.5	0.15	0.15	0.912	0.946	0.9	0.15	0.15	0.87	0.916
0.5	0.15	0.05	0.866	0.834	0.9	0.15	0.05	0.98	0.744
0.5	0.15	0	0.9	0.818	0.9	0.15	0	0.996	0.798
0.6	0	0.15	0.784	0.594	0.99	0	0.15	0.996	0.484
0.6	0.05	0.15	0.694	0.66	0.99	0.05	0.15	0.998	0.548
0.6	0.15	0.15	0.904	0.928	0.99	0.15	0.15	0.842	0.872
0.6	0.15	0.05	0.89	0.836	0.99	0.15	0.05	0.998	0.756
0.6	0.15	0	0.934	0.85	0.99	0.15	0	0.994	0.776

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Table 4 Empirical powers for tests JT and CP with 4 ordinal categories(k = 3).

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