Explainable statistical learning in public health for policy development: the case of real-world suicide data

Table 4 Stepwise multiple regression

Source	Unstan-dardised coefficients		Stan-dardised coefficients	F/t	p	95%-confidence interval for b		Correlations			Collinearity statistics
Source	b	SE	β			Lower limit	Upper limit	r	sr	sr ²	Tolerance	VIF
Model 1				64.07	< 0.001					0.30
Constant	1.77	0.07		26.75	< 0.001	1.64	1.91
Emergency hospital admissions for intentional self-harm: all^a	0.04	0.00	0.55	8.00	< 0.001	0.03	0.05	0.55	0.55	0.55	1.00	1.00
Model 2				17.04	< 0.001					0.07
Constant	1.30	0.13		9.92	< 0.001	1.04	1.56
Emergency hospital admissions for intentional self-harm: all^a	0.03	0.00	0.47	6.93	< 0.001	0.02	0.04	0.55	0.45	0.21	0.92	1.09
Children leaving care^b	0.17	0.04	0.28	4.13	< 0.001	0.09	0.25	0.41	0.27	0.07	0.92	1.09
Model 3				9.09	< 0.001					0.04
Constant	1.29	0.13		10.06	< 0.001	1.03	1.54
Emergency hospital admissions for intentional self-harm: all^a	0.02	0.01	0.36	4.63	< 0.001	0.01	0.03	0.55	0.29	0.09	0.69	1.46
Children leaving care^b	0.21	0.04	0.36	5.07	< 0.001	0.13	0.30	0.41	0.32	0.10	0.79	1.27
Statutory homelessness^b	−0.06	0.02	−0.23	−3.01	.003	−0.09	− 0.02	− 0.30	− 0.19	0.04	0.71	1.41
Model 4				5.98	< 0.001					0.02
Constant	1.30	0.13		10.36	< 0.001	1.05	1.55
Emergency hospital admissions for intentional self-harm: all^a	0.03	0.01	0.40	5.13	< 0.001	0.02	0.04	0.55	0.32	0.10	0.65	1.53
Children leaving care^b	0.26	0.04	0.43	5.69	< 0.001	0.17	0.34	0.41	0.36	0.13	0.68	1.47
Statutory homelessness^b	−0.05	0.02	−0.21	−2.88	.005	−0.09	− 0.02	− 0.30	− 0.18	0.03	0.71	1.41
Self-reported well-being - low happiness	−0.02	0.01	−0.18	−2.44	.016	−0.03	0.00	0.13	−0.15	0.02	0.74	1.34

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