> You’re using the second definition, like gambling odds, 4 to 6 you have ED.
This definition is also the definition that is used in statistics, in scientific literature, etc.
> But still you can’t use that ratio the way you are using it.
Certainly you can. The factor that you multiply the odds by is called the odds ratio. It is given by p0/(1-p0)/[p1/(1-p1)], where p0 and p1 are the probabilities of some event of interest (e.g. the occurance of ED) for the two populations being compared. The odds ratio is very commonly used in research literature in the biological sciences.
> My undergraduate minor was in Math. I’ve had a lot of statistics and probability, including graduate level.
Cool! I got my undergrad degree in math, and also have graduate degrees in math and statistics. I’ve been working as a statistician/data scientist for 20+ years.
Then lets switch to a practical example.
In a universe of 100 people of men aged over 50.
If pre-covid 40% have ED, then that is 40 people.
You’re answer for post covid was 66%, which would be 66 people.
How is 66 people vs 40 people equal to 3 times the likelihood?