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. 2022 May 10;12(6):e057388. doi: 10.1136/bmjopen-2021-057388

Table 3.

Estimated incidence rate ratios (IRR) (including 95% confidence intervals (CI)) by exposure variable categories on the number of ED re-presentations with mental health primary diagnosis within 1 year from a patient’s initial separation from negative binomial regression models (N=40 290)

Univariate Multivariable Stepwise*
IRR 95% CI† IRR 95% CI† IRR 95% CI†
Sociodemographic characteristics
Sex
 Male 1.00 1.00 1.00
 Female 1.13 (1.07 to 1.20) 1.13 (1.07 to 1.20) 1.14 (1.08 to 1.22)
Aboriginal and Torres Strait Islander
 No 1.00 1.00 1.00
 Yes 1.27 (1.16 to 1.39) 1.23 (1.13 to 1.35) 1.21 (1.10 to 1.33)
Age at first presentation (years)
 20–26 1.00 1.00 1.00
 15–19 1.00 (0.94 to 1.07) 0.96 (0.90 to 1.02) 0.96 (0.90 to 1.02)
 8–15  1.18 (1.08 to 1.29) 1.09 (1.00 to 1.19) 1.10 (1.00 to 1.20)
Rurality or remoteness
 Major cities 1.00 1.00 1.00
 Inner regional 1.08 (1.01 to 1.16) 1.15 (1.07 to 1.24) 1.16 (1.08 to 1.25)
 Outer regional or remote or very remote 0.99 (0.86 to 1.15) 1.04 (0.90 to 1.20) 1.03 (0.88 to 1.20)
SEIFA quartile
 Most disadvantage: first (816–940) 1.00 1.00 1.00
 Second (942–971) 1.03 (0.95 to 1.12) 1.06 (0.98 to 1.15) 1.05 (0.97 to 1.14)
 Third (972–1038) 0.97 (0.89 to 1.06) 1.02 (0.93 to 1.12) 1.01 (0.92 to 1.10)
 Least disadvantage: fourth (1039–1155) 1.01 (0.94 to 1.10) 1.11 (1.02 to 1.21) 1.11 (1.01 to 1.21)
Characteristics of the initial ED presentation
ED primary diagnosis
 Anxiety 1.00 1.00 1.00
 Depression 1.27 (1.15 to 1.40) 1.16 (1.05 to 1.28) 1.18 (1.06 to 1.30)
 General mental health problem 1.49 (1.37 to 1.62) 1.38 (1.27 to 1.51) 1.36 (1.24 to 1.49)
 Suicidal 1.62 (1.47 to 1.79) 1.40 (1.26 to 1.55) 1.39 (1.25 to 1.55)
 Self-harm 1.85 (1.65 to 2.08) 1.64 (1.46 to 1.85) 1.67 (1.48 to 1.89)
 Others 1.65 (1.51 to 1.81) 1.49 (1.35 to 1.64) 1.48 (1.34 to 1.64)
Mode of arrival
 Arrived on own 1.00 1.00 1.00
 Ambulance 1.19 (1.11 to 1.27) 1.11 (1.04 to 1.18) 1.13 (1.06 to 1.21)
 Police 1.04 (0.93 to 1.18) 0.97 (0.86 to 1.10) 0.97 (0.85 to 1.10)
 Others 0.98 (0.61 to 1.58) 0.90 (0.56 to 1.45) 1.02 (0.63 to 1.65)
Source of referral
 Others 1.00 1.00
 Self/family/friend 0.96 (0.88 to 1.04) 1.01 (0.93 to 1.10)
Level of clinical facility
 1 or 2 1.00 1.00
 3 or 4 1.00 (0.84 to 1.20) 0.96 (0.81 to 1.13)
 5 or 6 1.02 (0.86 to 1.22) 0.96 (0.81 to 1.14)
Triage
 4 or 5 1.00 1.00 1.00
 3 1.22 (1.16 to 1.29) 1.10 (1.00 to 1.20) 1.10 (1.03 to 1.18)
 1 or 2 1.16 (1.07 to 1.25) 0.99 (0.90 to 1.09) 1.00 (0.90 to 1.10)
Admitted to the hospital
 No 1.00 1.00 1.00
 Yes 1.33 (1.25 to 1.42) 1.42 (1.15 to 1.76) 1.21 (1.12 to 1.30)
Left at own risk
 No 1.00 1.00 1.00
 Yes 1.23 (1.09 to 1.40) 1.56 (1.24 to 1.95) 1.31 (1.14 to 1.51)
Completed treatment
 Yes 1.00 1.00
 No 1.29 (1.21 to 1.37) 1.21 (0.97 to 1.50)
Transferred to another hospital
 No 1.00 1.00
 Yes 1.09 (0.97 to 1.22) 1.20 (0.98 to 1.46)
Arrival time of day
 08:00–17:59 1.00 1.00 1.00
 00:00–07:59 0.83 (0.76 to 0.91) 0.81 (0.74 to 0.88) 0.80 (0.73 to 0.89)
 18:00–23:59 1.06 (0.99 to 1.13) 1.03 (0.96 to 1.10) 1.03 (0.97 to 1.10)
Departure day of week
 Friday–Sunday 1.00 1.00 1.00
 Monday–Thursday 1.11 (1.04 to 1.18) 1.08 (1.02 to 1.15) 1.08 (1.02 to 1.15)
First episode length of stay (min)
 <180 (3 hours) 1.00 1.00 1.00
 180–480 (3–8 hours) 1.17 (1.10 to 1.25) 1.09 (1.02 to 1.17) 1.10 (1.03 to 1.18)
 460+ (8+ hours) 1.45 (1.34 to 1.58) 1.25 (1.14 to 1.37) 1.26 (1.14 to 1.38)

*Stepwise regression results include only covariates which were found to be significant at α=5%.

† CI is also used to assess the significance of the IRR coefficient, where if 1 is not inside the estimated CI, then it is concluded to be significantly associated with either significantly lower (if limits are <1) or higher (if limits are >1) re-presentation rate at α=5%.

ED, emergency department; IRR, incidence rate ratio.