International Journal of Health Geographics

Table 4 Estimation of the ecological link β when ^ρ_xx= 0.95 while ${\bar{E}}_{h}$ varying

From: Robustness of the BYM model in absence of spatial variation in the residuals

(1)(2)(3)(4)(5)(6)(7)(8)(*)
${\bar{E}}_{h}$	β	Model	$\bar{β}$ _sim ⁽¹⁾	${\bar{σ}}_{β_{s i m}}$	MB⁽³⁾	sd(MB)	sd(β_sim)⁽⁴⁾	RMSE⁽⁵⁾	π(β)⁽⁶⁾	1 - π(0)⁽⁷⁾
46.6	0.00	M ₀	-0.001	2.84			2.76	2.76	0.958	0.042*
		BYM	-0.001	3.40			2.85	2.85	0.975	0.025
	0.12	M ₀	0.118	2.81	-1.34	1.21	2.91	2.91	0.945	0.960*
		BYM	0.119	3.38	-1.18	1.21	2.91	2.91	0.980	0.930
	0.21	M ₀	0.212	2.87	0.94	0.69	2.89	2.89	0.955	1.000
		BYM	0.212	3.47	0.75	0.70	2.95	2.96	0.983	1.000
	0.33	M ₀	0.329	2.88	-0.21	0.47	3.10	3.10	0.953	1.000
		BYM	0.330	3.45	-0.08	0.48	3.19	3.19	0.980	1.000
23.3	0.00	M ₀	0.002	4.07			4.04	4.04	0.950	0.050*
		BYM	0.002	4.72			4.14	4.14	0.975	0.025
	0.12	M ₀	0.121	4.05	1.03	1.82	4.38	4.37	0.945	0.843*
		BYM	0.121	4.70	1.18	1.89	4.54	4.54	0.960	0.775
	0.21	M ₀	0.208	3.99	-1.07	0.99	4.18	4.18	0.960	0.988
		BYM	0.208	4.62	-0.80	1.03	4.31	4.31	0.978	0.983
	0.33	M ₀	0.333	4.16	0.78	0.66	4.33	4.34	0.963	1.000
		BYM	0.333	4.79	0.98	0.66	4.34	4.35	0.980	1.000
2.33	0.00	M ₀	0.007	12.4			13.5	13.4	0.935	0.065
		BYM	0.008	13.3			13.4	13.4	0.948	0.052
	0.12	M ₀	0.112	12.5	-6.94	5.38	12.9	12.9	0.953	0.162*
		BYM	0.113	13.4	-5.65	5.43	13.0	13.0	0.965	0.130
	0.21	M ₀	0.206	12.8	-1.92	3.45	14.5	14.5	0.927	0.410*
		BYM	0.206	13.8	-1.98	3.46	14.6	14.5	0.940	0.368
	0.33	M ₀	0.341	13.0	3.38	2.12	14.00	14.0	0.938	0.738*
		BYM	0.343	13.9	4.05	2.14	14.1	14.2	0.960	0.715

⁽¹⁾ $\bar{β}$ _sim: 100 * mean of posterior means
⁽²⁾ ${\bar{σ}}_{β_{s i m}}$ : 100 * mean of posterior standard deviations
⁽³⁾ MB : 100 * Mean Bias
⁽⁴⁾ sd(β_sim) : 100 * standard deviation of posterior means
⁽⁵⁾ RMSE : 100 * Root Mean Square Error
⁽⁶⁾π(β) : Coverage proportion β ∈ CI(β)
⁽⁷⁾ 1 - π(0) : Non-Coverage proportion 0 ∉ CI(β)
^(*) : Indicator of p-value < 5% from McNemar's test for comparing proportions 1 - π(0) under M₀ and BYM models.

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ISSN: 1476-072X

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