Table 2.

Parameter estimates from 500 replications with sample size 400 assuming conditional dependence on both measurements y and x.

Truth	β0	β1	β2	γ0	γ1	py1	qy1	py2	qy2	px1	qx1	px2	qx2
	−0.700	1.500	1.500	−0.850	1.500	0.800	0.850	0.850	0.750	0.900	0.750	0.700	0.950
Ideal analysis
EST	−0.692	1.498	1.548	−0.860	1.526
BIAS	0.008	−0.002	0.048	−0.010	0.026
SE	0.226	0.419	0.210	0.182	0.161
SD	0.226	0.439	0.215	0.175	0.159
CP	0.952	0.954	0.944	0.960	0.954
Naive analysis
EST	−0.404	0.403	0.480	0.115	0.471
BIAS	0.296	−1.097	−1.020	0.965	−1.029
SE	0.177	0.254	0.065	0.114	0.057
SD	0.185	0.259	0.075	0.111	0.062
CP	0.600	0.006	0.000	0.000	0.000
Model assuming conditional independence (M1)
EST	−0.451	0.919	0.718	−0.756	1.197	0.879	0.925	0.922	0.822	0.934	0.769	0.733	0.966
BIAS	0.249	−0.581	−0.782	0.094	−0.303	0.079	0.075	0.072	0.072	0.034	0.019	0.033	0.016
SE	0.258	0.464	0.167	0.241	0.215	0.034	0.026	0.026	0.034	0.025	0.033	0.044	0.016
SD	0.262	0.472	0.214	0.237	0.251	0.035	0.025	0.026	0.034	0.025	0.033	0.043	0.014
CP	0.816	0.726	0.080	0.924	0.602	0.404	0.258	0.302	0.468	0.742	0.910	0.882	0.846
Model assuming conditional dependence (M2)
EST	−0.656	1.492	1.777	−0.921	1.761	0.799	0.855	0.848	0.752	0.888	0.743	0.687	0.942
BIAS	0.044	−0.008	0.277	−0.071	0.261	−0.001	0.005	−0.002	0.002	−0.012	−0.007	−0.013	−0.008
SE	0.539	1.048	0.701	0.385	0.464	0.041	0.037	0.037	0.040	0.036	0.035	0.047	0.022
SD	0.494	0.832	0.538	0.367	0.389	0.038	0.034	0.034	0.037	0.034	0.032	0.043	0.020
CP	0.950	0.974	0.982	0.952	0.954	0.960	0.986	0.960	0.964	0.958	0.964	0.954	0.960

CP: coverage probability.