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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

  1. aSee Additional file 1