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Supplement Table 15: Unadjusted, adjusted# Cox regression and propensity score (PS) adjusted results for the intent-to-treat analyses

Exposure groups (reference=Short- acting hydrocodone)

Unadjusted HR (95% CI)

Adjusted HR (95%

CI)

PS adjusted HR (95% CI)

Opioid overdose (main measure)

Tramadol 1.13 (0.93–1.36) 1.08 (0.89–1.31) 1.05 (0.86–1.27) Short-acting oxycodone 1.74 (1.48–2.05) 1.62 (1.37–1.91) 1.58 (1.34–1.87)

Opioid overdose (broad measure 1)*

Tramadol 1.22 (1.04–1.44) 1.14 (0.97–1.35) 1.11 (0.94–1.31) Short-acting oxycodone 1.69 (1.46–1.95) 1.55 (1.33–1.79) 1.50 (1.30–1.74)

Opioid overdose (broad measure 2)**

Tramadol 1.15 (1.03–1.28) 1.11 (1.00–1.25) 1.07 (0.96–1.20) Short-acting oxycodone 1.53 (1.39–1.68) 1.44 (1.30–1.59) 1.40 (1.27–1.55)

Accidents

Tramadol 0.74 (0.72–0.75) 0.77 (0.75–0.79) 0.75 (0.74–0.77) Short-acting oxycodone 1.07 (1.05–1.09) 1.08 (1.06–1.10) 1.10 (1.08–1.12)

Self-inflicted injuries and poisoning

Tramadol 0.96 (0.83–1.11) 0.91 (0.78–1.05) 0.91 (0.78–1.05) Short-acting oxycodone 1.44 (1.28–1.63) 1.42 (1.25–1.61) 1.35 (1.19–1.53)

Violence-related injuries

Tramadol 0.65 (0.55 – 0.76) 0.75 (0.64–0.88) 0.72 (0.61–0.84) Short-acting oxycodone 0.92 (0.81–1.04) 1.04 (0.91–1.18) 1.03 (0.91–1.17)

Opioid use disorder

Tramadol 0.91 (0.84–0.99) 0.82 (0.76–0.89) 0.82 (0.76–0.89) Short-acting oxycodone 1.46 (1.37–1.57) 1.37 (1.28–1.47) 1.29 (1.20–1.38)

Non-opioid substance use disorder

Tramadol 1.06 (1.04–1.09) 1.00 (0.97–1.02) 1.05 (1.03–1.08) Short-acting oxycodone 0.95 (0.92–0.97) 1.00 (0.97–1.02) 0.94 (0.91–0.96)

Atopic dermatitis

Tramadol 0.99 (0.97–1.03) 1.04 (1.01–1.08) 1.01 (0.98–1.04) Short-acting oxycodone 0.95 (0.92–0.98) 0.94 (0.92–0.97) 0.97 (0.94–1.00) HR: Hazard Ratio; CI: Confidence Interval

# The models were adjusted for age, sex, region of residence, insurance type, index year, chronic back pain, chronic neck pain, chronic osteoarthritis, neuropathic pain, migraine, abdominal pain,

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chest pain, other miscellaneous pain, major depressive disorder, anxiety disorders, mood disorders, personality disorders, post-traumatic stress disorder, nicotine dependence, Schizophrenia, any surgical procedure, Charlson comorbidity index, benzodiazepines, non- benzodiazepine hypnotics, gabapentinoids, skeletal muscle relaxants and antidepressants

* Opioid overdose diagnosis codes (main overdose definition) + Naloxone administration in the Emergency Department + Opioid-related adverse effects codes

** Opioid overdose diagnosis codes (main overdose definition) + Naloxone administration in the Emergency Department + Opioid-related adverse effects codes + Respiratory depression

(inpatient/outpatient/Emergency Department; age 50 years or less) + Central Nervous System depression (inpatient/outpatient/Emergency Department; age 50 years or less)

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