. Author manuscript; available in PMC: 2022 Jun 1.

Published in final edited form as: Biom J. 2021 Mar 11;63(5):1006–1027. doi: 10.1002/bimj.202000187

TABLE 3.

Simulation results for estimating β_x using the IF imputation approach for error scenario 3 (errors in event indicator, failure time, and X) with N = 2000, n = 400, and simple random sampling. The % bias, empirical standard error (ESE), relative efficiency (RE), average standard error (ASE), mean squared error, and coverage probabilities (CP) are presented for 2000 simulated datasets

β_z	% Cens	β_x	Method	% Bias	ESE	RE	ASE	MSE	CP
log(0.5)	50	log(1.5)	True	−0.03595	0.039644	2.357942	0.039422	0.001572	0.956
			HT	0.968647	0.093478	1	0.087968	0.008754	0.944
			GRN	2.48905	0.092254	1.013273	0.087589	0.008613	0.942
			GRMIS	1.27812	0.095618	0.977622	0.082415	0.00917	0.904
			GRMIC	0.702605	0.094581	0.988339	0.082057	0.008954	0.912
			GRFCSMIS	1.176668	0.076746	1.218027	0.072894	0.005913	0.932
			GRFCSMIC	0.766525	0.076361	1.224153	0.072638	0.005841	0.938
		log(3)	True	0.041168	0.041582	2.490834	0.04415	0.001729	0.948
			HT	0.313211	0.103573	1	0.097851	0.010739	0.942
			GRN	0.725322	0.104082	0.995114	0.097532	0.010897	0.945
			GRMIS	1.421894	0.102001	1.015417	0.091883	0.010648	0.924
			GRMIC	1.487215	0.102937	1.006184	0.091601	0.010863	0.926
			GRFCSMIS	0.262352	0.096256	1.076016	0.08654	0.009274	0.934
			GRFCSMIC	0.102202	0.095132	1.088739	0.08656	0.009051	0.934
	75	log(1.5)	True	0.119394	0.051672	2.316876	0.053276	0.00267	0.954
			HT	1.004049	0.119718	1	0.118566	0.014349	0.948
			GRN	1.661829	0.119968	0.997919	0.116507	0.014438	0.945
			GRMIS	4.68564	0.122646	0.976125	0.107653	0.015403	0.92
			GRMIC	5.039218	0.121839	0.98259	0.107163	0.015262	0.916
			GRFCSMIS	1.012435	0.104425	1.146449	0.100447	0.010921	0.948
			GRFCSMIC	1.16514	0.108355	1.104869	0.099865	0.011763	0.946
		log(3)	True	−0.01311	0.06088	2.250031	0.059211	0.003706	0.949
			HT	0.836351	0.136982	1	0.131293	0.018849	0.952
			GRN	1.114833	0.133936	1.022745	0.12923	0.018089	0.952
			GRMIS	1.098573	0.134396	1.019243	0.119741	0.018208	0.931
			GRMIC	1.354594	0.135155	1.013522	0.119708	0.018488	0.93
			GRFCSMIS	−0.52327	0.128106	1.069285	0.115569	0.016444	0.928
			GRFCSMIC	−0.46431	0.127535	1.074077	0.115312	0.016291	0.934
	90	log(1.5)	True	0.0138	0.084364	2.251745	0.083155	0.007117	0.947
			HT	1.897751	0.189966	1	0.183082	0.036146	0.94
			GRN	1.897914	0.183304	1.036344	0.176042	0.03366	0.942
			GRMIS	8.193088	0.198884	0.955159	0.163381	0.040658	0.902
			GRMIC	8.29543	0.195141	0.97348	0.162322	0.039211	0.894
			GRFCSMIS	4.745953	0.177903	1.067808	0.159259	0.03202	0.918
			GRFCSMIC	3.798847	0.181029	1.049366	0.157469	0.033009	0.908
		log(3)	True	−0.04654	0.088525	2.348938	0.089229	0.007837	0.95
			HT	0.928622	0.207941	1	0.196985	0.043343	0.939
			GRN	1.061707	0.203441	1.022115	0.192655	0.041524	0.943
			GRMIS	4.095097	0.206598	1.006498	0.181218	0.044707	0.913
			GRMIC	3.94024	0.205562	1.011573	0.180065	0.044129	0.91
			GRFCSMIS	1.614577	0.194645	1.068304	0.175683	0.038201	0.906
			GRFCSMIC	1.290465	0.198216	1.049058	0.174164	0.039491	0.904