Skip to main content

Advertisement

Table 2 Results in the SIR 3 and simulated data sets

From: Simulation shows undesirable results for competing risks analysis with time-dependent covariates for clinical outcomes

Type   Pneumonia on admission Hospital-acquired pneumonia
Estimated constant hazards in the data sets:
Infection hazard α01 - 0.0063  
Discharge hazard w/o pneumonia α02 0.0671 0.0627  
Death hazard w/o pneumonia α03 0.0076 0.0075  
Discharge hazard with pneumonia α14 0.0279 0.0334  
Death hazard with pneumonia α15 0.0084 0.0093  
Results:
HR(death) 1.11;1.24 1.00 (0.72,1.39) 0.9 (0.6,1.34)
HR(discharge) 0.42;0.53 0.44 (0.38,0.52) 0.59 (0.49,0.72)
SHR(death)   2.37 (1.72,3.26) 3.44 (2.36,5.03)
OR(death) 2.64;2.34 2.66 (1.86,3.81) 2.34 (1.54,3.54)
Simulated data:
 Scenario 0: α01=0.05, α02=0.2,α14=0.1, α03=α15=0.05
HR(death) 1 1.00 (0.92,1.12) 0.99 (0.91,1.09)
HR(discharge) 0.5 0.50 (0.48,0.53) 0.50 (0.47,0.53)
SHR(death)   1.73 (1.59,1.93) 3.24 (2.99,3.55)
OR(death) 2 2.01 (1.81,2.27) 1.99 (1.77,2.26)
 Scenario 1: α01=0.01, α02=α14=0.05, α03=α15=0.01
HR(death) 1 1.01 (0.90,1.15) 1.00 (0.87,1.15)
HR(discharge) 1 1.00 (0.95,1.05) 1.00 (0.94,1.06)
SHR(death)   1.01 (0.9,1.17) 1.98 (1.77,2.26)
OR(death) 1 1.01 (0.89,1.18) 1.00 (0.89,1.15)
 Scenario 2: α01=0.05, α02=α14=0.2, α03=0.05, α15=0.1
HR(death) 2 2.01 (1.86,2.22) 1.98 (1.82,2.18)
HR(discharge) 1 1.00 (0.95,1.06) 1.00 (0.95,1.05)
SHR(death)   1.84 (1.68,2.05) 3.57 (3.26,3.92)
OR(death) 2 2.01 (1.81,2.27) 1.99 (1.77,2.26)
 Scenario 3: α01=0.05, α02=α14=0.2, α03=0.1, α15=0.075
HR(death) 0.75 0.75 (0.7,0.82) 0.75 (0.67,0.86)
HR(discharge) 1 1.00 (0.95,1.05) 1.00 (0.93,1.08)
SHR(death)   0.78 (0.72,0.86) 1.50 (1.36,1.70)
OR(death) 0.75 0.75 (0.68,0.84) 0.75 (0.66,0.86)
 Scenario 4: α01=0.05, α02=0.2, α14=0.3, α03=α15=0.05
HR(death) 1 1.01 (0.91,1.16) 0.99 (0.88,1.11)
HR(discharge) 1.5 1.50 (1.42,1.57) 1.50 (1.43,1.59)
SHR(death)   0.71 (0.63,0.83) 1.40 (1.27,1.58)
OR(death) 0.67 0.68 (0.60,0.80) 0.66 (0.60,0.75)
  1. Upper part: Estimated hazards and results in the SIR 3 data set 95% confidence intervals are given in parenthesis. Lower part: Average results of 100 data sets with 10000 individuals per data set with empirical 95% confidence intervals in parenthesis. If applicable, the true HRs and ORs are given. The infection hazard α01 is only applicable for HAP.
  2. : The values show the HRs computed with the estimated constant hazards. The first value corresponds to pneumonia on admission, the second to HAP