Question

Show that the odds ratio and relative risk need not be similar when pi_i is close to 1.0 for both groups.

Answer 1

Answer :

Now we show that the

odds ratio and relative risk need not be similar when pi_i is close to 1.0 for both groups :-

in the ₁ event that is the likelihood of the occasions in gathering ₁ and ₂ is the likelihood of the occasions in gathering 2, the relative hazard is

relative risk , RR = ₁ / ₂

Odds ratio , OR = ( ₁ / 1- ₁ )/( ₂ / 1-₂ )

= ​​​​​​​₁* (1-₂ )/ ₂ (1- ₁)

= RR (1-₂)/(1- ₁)

we see that the chances proportion is near the relative hazard if probabilities of the result are little and near 0

in the event that and are near 1.0 in the two gatherings, at that point proportion of two vast numbers need not be near 1

what's more, in this manner OR isn't equivalent to RR