TABLE 1.

Performance of JEAIC and JEBIC compared with MLIC and QICW_r: percentage of selecting six candidate logistic models across 500 Monte Carlo datasets; T = 3, ρ = 0.5

Setups	Method	C(ρ)	x1	x3	X1, x2	X1, x3	x1, x3	x1, x2, x3	Total
n = 100	JEAIC	AR1	0.004	0	0.082	0	0.016	0.006	0.108
m = 0.2		EXC	0.026	0.008	0.578	0.002	0.186	0.092	0.892
		IND	0	0	0	0	0	0	0
		Total	0.03	0.008	0.66	0.002	0.202	0.098	1
	JEBIC	AR1	0.02	0.004	0.072	0	0.014	0	0.11
		EXC	0.09	0.028	0.566	0.002	0.2	0.004	0.89
		IND	0	0	0	0	0	0	0
		Total	0.11	0.032	0.638	0.002	0.214	0.004	1
	MLIC	AR1	0.008	0.008	0.2	0.002	0.14	0.06	0.418
		EXC	0.008	0.008	0.28	0.004	0.168	0.068	0.536
		IND	0.004	0	0.018	0	0.016	0.008	0.046
		Total	0.02	0.016	0.498	0.006	0.324	0.136	1
	QICWr	AR1	0	0	0.062	0	0.038	0.04	0.14
		EXC	0.006	0.004	0.436	0.002	0.236	0.112	0.796
		IND	0	0	0.03	0	0.02	0.014	0.064
		Total	0.006	0.004	0.528	0.002	0.294	0.166	1
n = 100	JEAIC	AR1	0.01	0.002	0.102	0	0.03	0.016	0.16
m = 0.3		EXC	0.042	0.026	0.472	0.004	0.198	0.098	0.84
		IND	0	0	0	0	0	0	0
		Total	0.052	0.028	0.574	0.004	0.228	0.114	1
	JEBIC	AR1	0.038	0.014	0.082	0	0.028	0.002	0.164
		EXC	0.126	0.066	0.44	0.002	0.188	0.014	0.836
		IND	0	0	0	0	0	0	0
		Total	0.164	0.08	0.522	0.002	0.216	0.016	1
	MLIC	AR1	0.01	0.01	0.164	0	0.106	0.064	0.354
		EXC	0.036	0.026	0.29	0.002	0.174	0.06	0.588
		IND	0.002	0.004	0.028	0.002	0.014	0.008	0.058
		Total	0.048	0.04	0.482	0.004	0.294	0.132	1
	QICWr	AR1	0.002	0.002	0.05	0.002	0.028	0.03	0.114
		EXC	0.008	0.006	0.452	0.002	0.232	0.136	0.836
		IND	0	0	0.026	0	0.012	0.012	0.05
		Total	0.01	0.008	0.528	0.004	0.272	0.178	1
n = 200	JEAIC	AR1	0	0	0.034	0	0.008	0.008	0.05
m = 0.2		EXC	0	0	0.73	0	0.096	0.124	0.95
		IND	0	0	0	0	0	0	0
		Total	0	0	0.764	0	0.104	0.132	1
	JEBIC	AR1	0	0	0.042	0	0.012	0	0.054
		EXC	0.01	0	0.806	0	0.114	0.016	0.946
		IND	0	0	0	0	0	0	0
		Total	0.01	0	0.848	0	0.126	0.016	1
	MLIC	AR1	0	0	0.23	0	0.064	0.068	0.362
		EXC	0.002	0	0.392	0	0.082	0.098	0.574
		IND	0.002	0	0.036	0	0.006	0.02	0.064
		Total	0.004	0	0.658	0	0.152	0.186	1
	QICWr	AR1	0	0	0.056	0	0.012	0.02	0.088
		EXC	0	0	0.56	0	0.114	0.168	0.842
		IND	0	0	0.04	0	0.002	0.028	0.07
		Total	0	0	0.656	0	0.128	0.216	1
n = 200	JEAIC	AR1	0	0	0.066	0	0.014	0.008	0.088
m = 0.3		EXC	0.006	0	0.646	0	0.132	0.128	0.912
		IND	0	0	0	0	0	0	0
		Total	0.006	0	0.712	0	0.146	0.136	1
	JEBIC	AR1	0.002	0	0.074	0	0.014	0	0.09
		EXC	0.038	0.004	0.704	0.002	0.152	0.01	0.91
		IND	0	0	0	0	0	0	0
		Total	0.04	0.004	0.778	0.002	0.166	0.01	1
	MLIC	AR1	0.002	0	0.214	0.002	0.056	0.056	0.33
		EXC	0.002	0.002	0.386	0	0.124	0.098	0.612
		IND	0	0	0.03	0	0.01	0.018	0.058
		Total	0.004	0.002	0.63	0.002	0.19	0.172	1
	QICWr	AR1	0	0	0.066	0	0.006	0.03	0.102
		EXC	0	0	0.554	0	0.118	0.18	0.852
		IND	0	0	0.018	0	0.004	0.024	0.046
		Total	0	0	0.638	0	0.128	0.234	1

The model with {x₁, x₂} and an EXC correlation structure is the true model. Notations n and m denote the sample size and the missing probability, respectively.

Abbreviations: EXC, exchangeable; IND, independence; JEAIC, joint empirical Akaike information criterion; JEBIC, joint empirical Bayesian information criterion; MLIC, missing longitudinal information criterion; QICW, weighted quasi-likelihood information criterion.

The bold values denote the true mean and correlation structures.