. Author manuscript; available in PMC: 2017 May 10.

Published in final edited form as: Stat Med. 2015 Nov 22;35(10):1676–1688. doi: 10.1002/sim.6812

Table 4.

Simulation study when Y given X was logistic and X was mixture-normal

		n = 500			n = 1200
		Naive	NRC	LRC	Naive	NRC	LRC
σ_u = 0.5
β₀	Bias	0.091	−0.030	−0.063	0.102	−0.024	−0.049
	SD	0.131	0.143	0.155	0.088	0.098	0.104
	ASE	0.124	0.140	0.149	0.087	0.099	0.105
	CP	0.868	0.948	0.928	0.780	0.952	0.914
β₁	Bias	−0.313	−0.029	−0.028	−0.262	−0.006	−0.040
	SD	0.181	0.233	0.245	0.129	0.156	0.175
	ASE	0.190	0.240	0.259	0.135	0.166	0.183
	CP	0.616	0.962	0.958	0.484	0.968	0.952

		Naive	NRC	LRC	Naive	NRC	LRC
σ_u = 1.0
β₀	Bias	0.184	−0.058	−0.025	0.181	−0.063	−0.025
	SD	0.128	0.169	0.178	0.087	0.119	0.119
	ASE	0.126	0.171	0.175	0.089	0.120	0.123
	CP	0.692	0.954	0.954	0.442	0.916	0.946
β₁	Bias	−0.455	0.032	−0.037	−0.464	0.026	−0.054
	SD	0.190	0.300	0.318	0.130	0.214	0.216
	ASE	0.188	0.303	0.313	0.133	0.212	0.219
	CP	0.332	0.966	0.960	0.056	0.952	0.946

NOTE: The naive estimator replaced X* by W*, NRC was the normality-based RC estimator, and LRC was the linearity-based RC estimator. The regression parameters were β = (0,ln (3)). The nuisance parameters were μ_x = 0, σ_x = 1. The results were obtained from 500 replicates.