Bayesian Adaptive Lasso for Regression Models with Nonignorable Missing Responses

Table 5

Bayesian estimates for case i in the second simulation study.

Parameter	True	Mean	Median	5%	95%	SD	RMSE
(i) Empirical Bayesian scenario
	3.0	2.988	2.997	2.846	3.096	0.083	0.083
	1.5	1.482	1.473	1.328	1.638	0.089	0.091
	0.0	−0.005	−0.001	−0.098	0.118	0.051	0.051
	0.0	0.006	0.000	−0.108	0.095	0.063	0.063
	2.0	1.992	1.992	1.858	2.124	0.092	0.092
	0.0	−0.008	−0.001	−0.158	0.056	0.064	0.064
	0.0	−0.001	−0.000	−0.095	0.079	0.056	0.055
	0.0	0.002	0.000	−0.098	0.118	0.051	0.051
	1.0	0.989	0.986	0.914	1.079	0.058	0.058
	−2.5	−2.564	−2.567	−2.689	−2.452	0.072	0.096
	0.3	0.339	0.345	0.104	0.525	0.135	0.140
	0.3	0.282	0.261	−0.395	0.850	0.413	0.411
	0.3	0.274	0.258	−0.261	0.801	0.355	0.354
	0.3	0.300	0.287	−0.205	0.710	0.284	0.282
	0.3	0.331	0.329	−0.068	0.731	0.266	0.267
	0.3	0.283	0.279	−0.269	0.762	0.327	0.326
	0.3	0.293	0.294	−0.255	0.698	0.304	0.302
	0.3	0.291	0.311	−0.196	0.739	0.282	0.281
	0.3	0.387	0.337	−0.015	0.853	0.286	0.298
(ii) Hierarchical model scenario
	3.0	2.984	2.983	2.822	3.129	0.101	0.102
	1.5	1.506	1.510	1.345	1.654	0.101	0.101
	0.0	0.008	0.007	−0.067	0.089	0.047	0.047
	0.0	−0.009	−0.006	−0.082	0.041	0.043	0.043
	2.0	1.991	1.976	1.848	2.139	0.101	0.101
	0.0	−0.001	0.003	−0.080	0.048	0.042	0.042
	0.0	0.001	−0.000	−0.075	0.077	0.046	0.046
	0.0	0.007	0.004	−0.054	0.064	0.041	0.042
	1.0	0.998	0.995	0.921	1.086	0.055	0.054
	−2.5	−2.573	−2.576	−2.681	−2.470	0.070	0.101
	0.3	0.327	0.315	0.133	0.501	0.119	0.121
	0.3	0.287	0.276	−0.340	0.756	0.334	0.333
	0.3	0.268	0.282	−0.260	0.710	0.320	0.320
	0.3	0.342	0.314	−0.126	0.834	0.293	0.294
	0.3	0.307	0.321	−0.207	0.797	0.308	0.307
	0.3	0.250	0.221	−0.251	0.735	0.281	0.284
	0.3	0.340	0.354	−0.125	0.712	0.283	0.285
	0.3	0.323	0.286	−0.187	0.847	0.336	0.335
	0.3	0.297	0.311	−0.185	0.707	0.281	0.279