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Table 1 Key model assumptions and parameters

From: Costs and expected gain in lifetime health from intensive care versus general ward care of 30,712 individual patients: a distribution-weighted cost-effectiveness analysis

Key model assumptions

Description

Sources

Patients

General adult ICU population (n = 40,916), Norway 2008–2010. One or more organ failures, case mix, >90% of annual ICU admissions in the country

Norwegian Intensive Care Registry

Intervention

ICU admission

 

Comparator

Hypothetical ICU refusal and general ward treatment of the same patients

 

Setting

38 mixed medical-surgical ICUs out of a total of 42 ICUs in publicly funded hospitals operated by local health trusts under four state-owned regional health authorities.

 

Health outcome

Quality-adjusted life years (QALYs)

 

Resource use

Hospital costs were summed in Norwegian kroner (NOK), converted to NOK in 2016 using the CPI and to Euro (€) using OECD PPP: 1 USD = 9.4 NOK = 0.75 Euros

Statistics Norway, [51]

Severity of disease

Expected lifetime health if rejected to the ICU. Measured as number of lifetime QALYs.

[13]

Distribution weights

Higher weights assigned to health gains to patients with more severe conditions; results in more favourable cost-effectiveness estimates.

Additional file 2, [13, 62]

Perspective

Hospital, health care provider

[50]

Time horizon

Lifetime

[50]

Discounting

4% annually of health benefits and incremental health care costs post-hospital discharge.

[50]

Heterogeneity

Analysis of total study population, subgroups by type of admission and individual admissions.

 

General cost-effectiveness threshold range

275,000–800,000 NOK per QALY ≈22,000–64,000 PPP-adjusted € per QALY.

[56, 57]

Model parameter

Parameter values

Sources

.

Base case

Range

Distribution

.

Age

Individual age

Individual age

Observed

ICU cohort 2008–2010

Transition probabilities:

    

 Effect of ICU admission on hospital mortality

    

 Predicted hospital mortality if ICU patient

Individual SAPS II, calibrated model

 

Observed

ICU cohort 2008–2010, [35]

 Predicted hospital mortality if general ward

Individual SAPS II, modified model (β1 = 0.09)

β1 = 0.0737 to 0.14

Scaled betaa

Fig. 1, Additional files 1 and 2

 Annual mortality after hospital discharge

Age-specific *3–1 over 3 years

*1 to *5–1 over 10 years

Uniform

Life table Norway 2011, [34], Additional file 2

Length of hospital stay, mean (median) days

    

 If ICU, weighted sum of

    

  Died ICU

LOS ICU

4.8 (1.7)

0.6–5.0 (IQR)

Observed

ICU cohort 2008–2010

 

LOS ward post ICU

0

NA

NA

 

  Died ward

LOS ICU

5.4 (2.6)

1.3–5.9 (IQR)

Observed

ICU cohort 2008–2010

 

LOS ward post ICU

2.5

NA

Gamma (scale = 0.5, shape = 5)

 

  Survived hospital

LOS ICU

4.1 (2.0)

1.1–4.1 (IQR)

Observed

ICU cohort 2008–2010

 

LOS ward post ICU

10

NA

Gamma (scale = 2, shape = 5)

 

 If general ward, weighted sum of

    

  Died hospital

LOS ward

LOS if ICU and dead *0.9

NA

Gamma

 

  Survived hospital

LOS ward

LOS if ICU and hospital survivor *1.1

NA

Gamma

 

Cost units

    

 Cost of ICU bed-day

€3980

€2390 to €5570

Scaled betab

Additional file 2, [18]

 Cost of general ward bed-day

€640

€320 to €950

Scaled betab

Additional file 2

 Annual health care cost survivors, year 1

€6400

€80 to €12,700

Scaled betab

[47, 48]

  Years 2–5

Year 1 *0.6, *0.5, *0.4, *0.3

   

Health-related quality of life weights

*0.8

*0.6 to 0.9

Scaled betac

Additional files 1 and 2, [19, 38,39,40,41,42]

 Age-matched reference value reduced 20% for 5 years after discharge, equally for both treatment options

18–19: 0.90

0.72

0.54 to 0.81

  

20–29: 0.89

0.71

0.53 to 0.80

  

30–39: 0.88

0.70

0.53 to 0.79

  

40–49: 0.86

0.69

0.52 to 0.77

  

50–59: 0.84

0.67

0.50 to 0.76

  

60–69: 0.81

0.65

0.49 to 0.73

  

70–79: 0.79

0.63

0.47 to 0.71

  

80+: 0.73

0.59

0.44 to 0.66

  

Distribution weights based on lifetime QALYs

Linear

NA

NA

Additional file 2, [13, 62]

  1. Scaled beta: min + (max – min) × beta(alpha,beta)
  2. abeta(alpha = 2,beta = 3.5)
  3. bbeta(alpha = 2,beta = 2)
  4. cbeta(alpha = 4,beta = 2
  5. CPI consumer price index, ICU intensive care unit, IQR interquartile range, LOS length of stay, NA not applicable, NOK Norwegian kroner, PPP purchasing power parity, SAPS Simplified Acute Physiology Score, USD United States dollar