Table III.

Simulations results when the exclusion restriction may be violated (ρ = 0.721)

	Parameter values			Statistics
Distribution	β1	θ1	β3	Bias	RMSE	Coverage	z-Value	Power
Normal	−0.793	0.144	0.000	0.000	0.018	0.968	−0.025	0.054
Normal	−0.793	0.144	0.036	0.001	0.018	0.972	2.055	0.526
Normal	−0.793	0.144	0.072	0.000	0.017	0.984	4.077	0.982
Normal	−0.793	0.144	0.108	0.000	0.017	0.972	6.060	1.000
Normal	−0.793	0.144	0.144	0.000	0.018	0.980	8.075	1.000
T	−0.793	0.144	0.000	0.001	0.015	0.974	0.054	0.038
T	−0.793	0.144	0.036	0.001	0.015	0.970	2.470	0.707
T	−0.793	0.144	0.072	0.001	0.015	0.982	4.802	0.996
T	−0.793	0.144	0.108	0.003	0.016	0.946	7.322	1.000
T	−0.793	0.144	0.144	0.002	0.015	0.972	9.651	1.000
Gamma	−0.793	0.144	0.000	−0.043	0.046	1.000	−2.767	0.802
Gamma	−0.793	0.144	0.036	−0.044	0.046	1.000	−0.498	0.066
Gamma	−0.793	0.144	0.072	−0.045	0.047	1.000	1.723	0.390
Gamma	−0.793	0.144	0.108	−0.044	0.047	1.000	4.054	0.988
Gamma	−0.793	0.144	0.144	−0.043	0.046	1.000	6.389	1.000