. 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 3.

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

		n = 500			n = 1200
		Naive	NRC	LRC	Naive	NRC	LRC
σ_u = 0.5
β₀	Bias	0.143	0.005	0.000	0.032	−0.007	−0.013
	SD	0.118	0.135	0.141	0.094	0.108	0.113
	ASE	0.127	0.146	0.152	0.090	0.103	0.108
	CP	0.820	0.968	0.968	0.682	0.936	0.948
β₁	Bias	−0.313	−0.029	−0.028	−0.296	−0.010	−0.006
	SD	0.181	0.233	0.245	0.142	0.181	0.193
	ASE	0.190	0.240	0.259	0.134	0.169	0.183
	CP	0.616	0.962	0.958	0.430	0.938	0.946

		Naive	NRC	LRC	Naive	NRC	LRC
σ_u = 1.0
β₀	Bias	0.219	−0.032	0.017	0.225	−0.014	0.032
	SD	0.134	0.181	0.188	0.086	0.121	0.120
	ASE	0.128	0.174	0.177	0.090	0.122	0.124
	CP	0.598	0.944	0.940	0.292	0.954	0.952
β₁	Bias	−0.476	0.032	−0.069	−0.498	0.014	−0.111
	SD	0.198	0.315	0.326	0.132	0.215	0.218
	ASE	0.188	0.307	0.313	0.133	0.215	0.219
	CP	0.296	0.946	0.936	0.032	0.954	0.926

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.