…ile odds ratio can vary between 0 to positive infinity, log (odds ratio) will vary between [-∞, ∞]. Specifically when odds ratio lies between [0,1], log (odds ratio) is negative.
Hi., Lets take two case,
Case_1: p = 0.9 then odd_1 = 0.9/0.1 =9
Case_2: p = 0.5 then odd_2 = 0.5/0.5 = 1
now odd ratio = 9/1 = 1 which violates the range [0,1].
Am I missing something ?
Disclaimer : All characters and scenarios are imaginary. It has no relation with practical data.
Let’s create a scenario to understand the concepts better. One day I found my friend ‘L’ boasting about himself that he can run for 1.5 hours straight without a break ( but he always feels sick to walk a distance of 10 minutes for school ). Although he was well known athlete in our area but I decided to give it a check. What I found after after a little probing is :
Fig 1, shows minimum and maximum stamina an athlete can have. Point…