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Table 2 Multi-collinearity analysis

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

Variable # Variable name Transformationa Tolerance VIF Decision
2 Adult social-care users who have as much social contact as they would like 0.64 1.57 Keep
3 Adults in treatment at specialist alcohol misuse services Log 0.31 3.24 Keep
4 Adults in treatment at specialist drug misuse services Log 0.08 12.66 Remove
5 Alcohol-related hospital admission (female) Log 0.00 422.64 Remove
6 Alcohol-related hospital admission (male) Log 0.00 1126.14 Remove
7 Alcohol-related hospital admission (all) Log 0.00 2813.20 Keep
8 Children in the youth justice system Log 0.36 2.74 Keep
9 Children leaving care Log 0.22 4.56 Keep
10 Depression recorded prevalence 0.39 2.59 Keep
11 Domestic abuse incidents 0.49 2.03 Keep
12 Emergency hospital admissions for intentional self-harm (female) square root 0.08 13.18 Remove
13 Emergency hospital admissions for intentional self-harm (male) square root 0.06 17.53 Remove
14 Emergency hospital admissions for intentional self-harm (all) square root 0.00 11956.59 Keep
15 Looked after children Log 0.19 5.35 Remove
16 Self-reported well-being - high anxiety 0.65 1.53 Keep
17 Severe mental illness recorded prevalence Log 0.30 3.30 Keep
18 Social care mental health clients receiving services Log 0.75 1.34 Keep
19 Statutory homelessness Log 0.41 2.41 Keep
20 Successful completion of alcohol treatment 0.45 2.22 Keep
21 Successful completion of drug treatment - non-opiate users 0.41 2.47 Keep
22 Successful completion of drug treatment - opiate users Log 0.49 2.02 Keep
23 Unemployment Log 0.16 6.40 Keep
24 Adult carers who have as much social contact as they would like (18+ yrs) 0.00 infinity Remove
25 Adult carers who have as much social contact as they would like (all ages) 0.59 1.71 Keep
26 Estimated prevalence of opiates and/or crack cocaine use Log 0.09 10.60 Keep
27 Long-term health problems or disability 0.08 12.84 Remove
28 Marital breakup 0.39 2.59 Keep
29 Older people living alone 0.08 11.77 Remove
30 People living alone Inverse 0.23 4.36 Keep
31 Self-reported well-being - low happiness 0.36 2.77 Keep
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