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Table 2 Cox proportional hazard and frailty models, post discharge survival

From: Long-term survival and healthcare utilization outcomes attributable to sepsis and pneumonia

Variable

Cox proportional hazard model no frailty

Weibull model gamma frailty

 

Hazard ratio

95 % CI

P Value

Hazard ratio

CI

P Value

Infection (reference = No Infection)

      

Sepsis

1.36

1.20-1.54

<0.01

1.39

1.22-1.59

<0.01

Sepsis x Year 1

1.21

1.04-1.42

0.02

1.17

1.00-1.37

0.05

Pneumonia

1.55

1.42-1.70

<0.01

1.58

1.42-1.76

<0.01

Pneumonia x Year 1

1.15

1.02-1.30

0.02

1.11

0.98-1.25

0.11

Sepsis & Pneumonia

0.66

0.55-0.80

<0.01

0.66

0.55-0.80

<0.01

Gender (reference = Male)

      

Female

0.89

0.85-0.94

<0.01

0.89

0.85-0.94

<0.01

Race (reference = White)

      

Black

1.04

0.96-1.13

0.33

1.04

0.96-1.13

0.34

Other

0.96

0.84-1.09

0.49

0.95

0.84-1.08

0.46

Age Group (reference < 50)

      

50 to 64

1.76

1.49-2.08

<0.01

1.75

1.48-2.07

<0.01

65 to 74

2.07

1.77-2.41

<0.01

2.06

1.76-2.41

<0.01

75 to 84

3.12

2.67-3.64

<0.01

3.10

2.64-3.64

<0.01

85 to 94

5.25

4.47-6.16

<0.01

5.21

4.36-6.21

<0.01

95 and above

8.38

6.68-10.52

<0.01

8.26

6.47-10.55

<0.01

Insurance (reference = non Medicaid)

      

Medicaid

1.22

1.14-1.30

<0.01

1.22

1.14-1.30

<0.01

Number of subjects

17537

  

17537

  

Number of failures

9694

  

9694

  

Log pseudolikelihood

−89334.21

  

−26182.6

  
  1. Tests of the Cox proportional hazards assumption showed that the effects of sepsis and pneumonia were not proportional over time. Thus, interactions between sepsis and pneumonia and analysis time (distinguishing the first year after discharge from the rest of the study period) were incorporated into the model. These analyses controlled for healthcare-associated infections and full results are shown in Additional file 2: Table S2.