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Table 4 Which Simple Intervention* achieves the same Worth as One-Shot with the smallest α for different initial conditions and values of β

From: The effect of different public health interventions on longevity, morbidity, and years of healthy life

  

Proportion Healthy at Baseline, π

  

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

Birth cohort

          

β = 0

 

H

H

H

H

H

H

H

H

H

H

0.1

 

H

H

H

H

H

H

H

H

H

H

0.2

 

H

H

H

H

H

H

H

H

H

H

0.3

 

H

H

H

H

H

H

H

H

H

H

0.4

 

I

H

H

H

H

H

H

H

H

H

0.5

 

I

H

H

H

H

H

H

H

H

H

0.6

 

I

I

I

I

H

H

H

H

H

H

0.7

 

I

I

I

I

I

I

H

H

H

H

0.8

 

I

I

I

I

I

I

I

I

I

I

0.9

 

I

I

I

I

I

I

I

I

I

I

1.0

 

I

I

I

I

I

I

I

I

I

I

Retiree cohort

          

β = 0

 

T

T

T

T

H

H

H

H

H

H

0.1

 

T

T

T

T

H

H

H

H

H

H

0.2

 

T

T

T

T

H

H

H

H

H

H

0.3

 

T

T

T

T

H

H

H

H

H

H

0.4

 

I

I

I

I

I

I

H

H

H

H

0.5

 

I

I

I

I

I

I

I

I

H

H

0.6

 

I

I

I

I

I

I

I

I

H

H

0.7

 

I

I

I

I

I

I

I

I

I

H

0.8

 

I

I

I

I

I

I

I

I

I

I

0.9

 

I

I

I

I

I

I

I

I

I

I

1.0

 

I

I

I

I

I

I

I

I

I

I

  1. * H is HP/DP, T is Treatment, I is ICU, and S is Safety (never the best). The parameter π is the baseline proportion healthy, and β is the relative worth of a year of sick life. For example, if π = .8 and β = .5, in the Retiree cohort the HP/DP intervention had the lowest required α, as was also seen in column 7 of Table 3.
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BMC Public Health

ISSN: 1471-2458

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