Benefit-risk ratio

This benefit-risk ratio(BRR) is illustrated using the natalizumab versus placebo example. The BRR is calculated for each risk against the two medical benefits, reduction in relapse (Table 16) and reduction in disability progression (Table 17), using only the mean risk differences to illustrate the concept. The mean risk differences for benefits are reversed to place them on the same scale as risks to allow them to be directly compared i.e. reduction in relapse rate is 0.12 and slowdown in disability progression is 0.26. They are then inverted to give NNT. The risk flu-like reactions is also reversed because natalizumab appears to be more favourable than placebo, and inverted to give NNT. All other risks are also then inverted to give NNH.

The BRRs, given to 3 decimal places, are therefore equivalent to NNT/NNH, and therefore a value less than 1 implies the benefit is greater than the risk. However, this method assumes that each benefit and risk is of the same importance as the weights are not taken into account.

Table 16 Benefit-Risk Ratio for Reduction in Relapse. Natalizumab versus placebo (Comparator) at time of approval

Outcome

Risk Difference / 1000 pts

Benefit-Risk Ratio for Reduction in Relapse

Risks

Infection

Reactivation of serious herpes viral infections

10

0.038

PML

1

0.004

Liver Toxicity

Transaminases elevation

10

0.038

Reproductive Toxicity

Congenital abnormalities

-

N/A

Neurological Disorders

Seizures

0

0.000

Other

Infusion/Injection reactions

56

0.215

Hypersensitivity reactions

50

0.192

Reduction in flu-like reactions*

1

0.004

 

 

 

 

* reversed criterion

Higher for Natalizumab

 

Higher for Comparator

 

Table 17 Benefit-Risk Ratio for Slowdown in Disability Progression. Natalizumab versus placebo (Comparator) at time of approval

Outcome

Risk Difference / 1000 pts

Benefit-Risk Ratio for Reduction in Disability Progression

Risks

Infection

Reactivation of serious herpes viral infections

10

0.083

PML

1

0.008

Liver Toxicity

Transaminases elevation

10

0.083

Reproductive Toxicity

Congenital abnormalities

-

 

Neurological Disorders

Seizures

0

0.000

Other

Infusion/Injection reactions

56

0.467

Hypersensitivity reactions

50

0.417

Reduction in flu-like reactions *

1

0.008

 

 

 

 

* reversed criterion

Higher for Natalizumab

Higher for Comparator