Online Supplementary Materials

Online supplementary Table 1. Description of adverse events and inpatient rehabilitation

Database reference
Severe gastrointestinal adverse events (gastrointestinal hemorrhage, peptic ulcer, gastroinstestinal obstruction) / ATIH GHM: 06M04, 06M06, 06M10, 06M11
Cardiovascular adverse events / ATIH CMD 05
Renal adverse events (renal failure) / ATIH GHM: 11K02, 11M06
Inpatient rehabilitation / ATIH GME: 0841a0, 0841a1, 0841b0, 0841b1, 0841c1

ATIH: Agence Technique de l’Information sur l’Hospitalisation; GHM: Groupe Homogène de Malade (=DRG, DiagnosisRelated Group); CMD: Catégorie Majeure de Diagnostic (=MDC, Major DiagnosisCategory); GME: Groupe Médico-Économique (medico-economic group)

Online supplementary Table 2. Sensitivity analyses

Utilities / Outcomes
(probability of improvement in WOMAC score)
NPh option / Aids / 0.706 / 7%
PT / 0.757 / 25%
Others / 0.705 / 14%
NPPh option / Aids + Acetaminophen / 0.755 / 11.77%
Aids + NSAIDs (with PPI) / 0.764 / 27.82%
Aids + SYSADOAs / 0.763 / 36.38%
PT + Acetaminophen / 0.757 / 26.82%
PT + NSAIDs (with PPI) / 0.764 / 32.5%
PT + SYSADOAs / 0.763 / 36.75%
Other combination / 0.764 / 38.76%
Ph option / Acetaminophen / 0.755 / 11%
NSAIDs (with PPI) / 0.764 / 26%
SYSADOAs / 0.763 / 34%
Acetaminophen + NSAIDs (with PPI) / 0.610 / 28.86%
Acetaminophen + SYSADOAs / 0.763 / 37.74%
SYSADOAs + NSAIDs (with PPI) / 0.764 / 42.84%
Corticosteroid injections / 0.729 / 30%
HA injections / 0.665 / 40%
Opioids / 0.763 / 44%
Surg option / Arthroscopy / 0.631 / 36%
Osteotomy / 0.631 / 36%
UKR / 0.791 / 65%
TKR / 0.764 / 72%

NPh: non-pharmacological; NPPh: both non-pharmacological and pharmacological; Ph: pharmacological; Surg: surgical; PT: physiotherapy; NSAIDs:nonsteroidal anti-inflammatory drugs; SYSADOAs: symptomatic slow acting drugs for OA; HA: hyaluronic acid; UKR: unicompartimental knee replacement; TKR: total knee replacement

Online supplementary Table 3. Transitions: NPh option

Late TKR / Early TKR
Aids OR PT / Success / Death / tDeath(age) / tDeath(age)
NPh option / 0.80 / 0.80
NPPh option / 0.10 / 0.09
Ph option / By difference / By difference
Surg option / 0.00 / 0.01
Failure / Death / tDeath(age) / tDeath(age)
NPh option / By difference / By difference
NPPh option / 0.45 / 0.40
Ph option / 0.40 / 0.40
Surg option / 0.05 / 0.10
Others / Success / Death / tDeath(age) / tDeath(age)
NPh option / 0.80 / 0.80
NPPh option / 0.10 / 0.09
Ph option / By difference / By difference
Surg option / 0.00 / 0.01
Failure / Death / tDeath(age) / tDeath(age)
NPh option / By difference / By difference
NPPh option / 0.45 / 0.40
Ph option / 0.35 / 0.35
Surg option / 0.02 / 0.10

NPh: non-pharmacological; NPPh: both non-pharmacological and pharmacological; Ph: pharmacological; Surg: surgical; PT: physiotherapy

Online supplementary Table 4. Transitions: NPPh option

Late TKR / Early TKR
Aids + Acetaminophen
OR
Aids + SYSADOAs
OR
Other combination / Success / Death / tDeath(age) / tDeath(age)
NPh option / By difference / By difference
NPPh option / 0.80 / 0.80
Ph option / 0.10 / 0.09
Surg option / 0.00 / 0.01
Failure / Death / tDeath(age) / tDeath(age)
NPh option / By difference / By difference
NPPh option / 0.25 / 0.20
Ph option / 0.30 / 0.30
Surg option / 0.25 / 0.30
Aids + NSAIDs / Success / Death / tDeath(age)+ p_Death_NSAID / tDeath(age)+ p_Death_NSAID
NPh option / By difference / By difference
NPPh option / 0.80 / 0.80
Ph option / 0.10 / 0.09
Surg option / 0.00 / 0.01
Failure / Death / tDeath(age)+ p_Death_NSAID / tDeath(age)+ p_Death_NSAID
NPh option / By difference / By difference
NPPh option / 0.20 / 0.25
Ph option / 0.30 / 0.30
Surg option / 0.25 / 0.30
PT+ NSAIDs / Success / Death / tDeath(age)+ p_Death_NSAID / tDeath(age)+ p_Death_NSAID
NPh option / By difference / By difference
NPPh option / 0.80 / 0.80
Ph option / 0.10 / 0.09
Surg option / 0.00 / 0.01
Failure / Death / tDeath(age)+ p_Death_NSAID / tDeath(age)+ p_Death_NSAID
NPh option / By difference / By difference
NPPh option / 0.25 / 0.20
Ph option / 0.30 / 0.30
Surg option / 0.25 / 0.30
PT+ Acetaminophen
OR
PT+ SYSADOAs / Success / Death / tDeath(age) / tDeath(age)
NPh option / By difference / By difference
NPPh option / 0.80 / 0.80
Ph option / 0.10 / 0.09
Surg option / 0.00 / 0.01
Failure / Death / tDeath(age) / tDeath(age)
NPh option / By difference / By difference
NPPh option / 0.25 / 0.20
Ph option / 0.30 / 0.30
Surg option / 0.25 / 0.30

NPh: non-pharmacological; NPPh: both non-pharmacological and pharmacological; Ph: pharmacological; Surg: surgical; PT: physiotherapy; NSAIDs:nonsteroidal anti-inflammatory drugs; SYSADOAs: symptomatic slow acting drugs for OA; HA: hyaluronic

Online supplementary Table 5. Transitions: Ph option

Late TKR / Early TKR
Acetaminophen / Success / Death / tDeath(age) / tDeath(age)
NPh option / By difference / By difference
NPPh option / 0.10 / 0.09
Ph option / 0.80 / 0.80
Surg option / 0.00 / 0.01
Failure / Death / tDeath(age) / tDeath(age)
NPh option / By difference / By difference
NPPh option / 0.25 / 0.20
Ph option / 0.30 / 0.30
Surg option / 0.30 / 0.35
NSAIDs
OR
Acetaminophen
+NSAIDs
OR
SYSADOAs
+NSAIDs / Success / Death / tDeath(age)+ p_Death_NSAID / tDeath(age)+ p_Death_NSAID
NPh option / By difference / By difference
NPPh option / 0.10 / 0.09
Ph option / 0.80 / 0.80
Surg option / 0.00 / 0.01
Failure / Death / tDeath(age)+ p_Death_NSAID / tDeath(age)+ p_Death_NSAID
NPh option / By difference / By difference
NPPh option / 0.25 / 0.20
Ph option / 0.30 / 0.30
Surg option / 0.35 / 0.40
SYSADOAs
OR
Acetaminophen
+SYSADOAs / Success / Death / tDeath(age) / tDeath(age)
NPh option / By difference / By difference
NPPh option / 0.10 / 0.09
Ph option / 0.80 / 0.80
Surg option / 0.00 / 0.01
Failure / Death / tDeath(age) / tDeath(age)
NPh option / By difference / By difference
NPPh option / 0.25 / 0.20
Ph option / 0.30 / 0.30
Surg option / 0.35 / 0.40
Corticosteroid injection
OR
HA injection / Success / Death / tDeath(age) / tDeath(age)
NPh option / By difference / By difference
NPPh option / 0.10 / 0.09
Ph option / 0.80 / 0.80
Surg option / 0.00 / 0.01
Failure / Death / tDeath(age) / tDeath(age)
NPh option / By difference / By difference
NPPh option / 0.20 / 0.15
Ph option / 0.25 / 0.25
Surg option / 0.45 / 0.50
Opioids / Success / Death / tDeath(age) + p_Death_opioid / tDeath(age) + p_Death_opioid
NPh option / By difference / By difference
NPPh option / 0.10 / 0.09
Ph option / 0.80 / 0.80
Surg option / 0.00 / 0.01
Failure / Death / tDeath(age) + p_Death_opioid / tDeath(age) + p_Death_opioid
NPh option / By difference / By difference
NPPh option / 0.09 / 0.09
Ph option / 0.10 / 0.09
Surg option / 0.70 / 0.72

NPh: non-pharmacological; NPPh: both non-pharmacological and pharmacological; Ph: pharmacological; Surg: surgical; NSAIDs:nonsteroidal anti-inflammatory drugs; SYSADOAs: symptomatic slow acting drugs for OA; HA: hyaluronic acid

Online supplementary Table 6. Transitions: Surg option

Late TKR / Early TKR
Non prosthetic surgery
(arthroscopy, osteotomy) / Success / Death / tDeath(age) / tDeath(age)
NPh option / By difference / By difference
NPPh option / 0.25 / 0.25
Ph option / 0.20 / 0.20
Surg option / 0.00 / 0.00
Failure / Death / tDeath(age) / tDeath(age)
NPh option / By difference / By difference
NPPh option / 0.05 / 0.05
Ph option / 0.05 / 0.05
Surg option / 0.80 / 0.80
UKR / Success / Death / tDeath(age)
+p_Death_chir / tDeath(age)
+p_Death_chir
NPh option / By difference / By difference
NPPh option / 0.15 / 0.15
Ph option / 0.15 / 0.15
Surg option / 0.00 / 0.00
Failure / Death / tDeath(age)
+p_Death_chir / tDeath(age)
+p_Death_chir
NPh option / By difference / By difference
NPPh option / 0.10 / 0.10
Ph option / 0.10 / 0.10
Surg option / 0.70 / 0.70
TKR / Success / Death / tDeath(age)
+p_Death_chir / tDeath(age)
+p_Death_chir
NPh option / By difference / By difference
NPPh option / 0.20 / 0.20
Ph option / 0.20 / 0.20
Surg option / 0.00 / 0.00
Failure / Death / tDeath(age)
+p_Death_chir / tDeath(age)
+p_Death_chir
NPh option / By difference / By difference
NPPh option / 0.20 / 0.20
Ph option / 0.20 / 0.20
Surg option / 0.01 / 0.01

NPh: non-pharmacological; NPPh: both non-pharmacological and pharmacological; Ph: pharmacological; Surg: surgical;UKR: unicompartimental knee replacement; TKR: total knee replacement