u/Fun-Dragonfruit2353

False Positive Rate to True Prevalence Calculation

False Positive Rate to True Prevalence Calculation

Hi Everyone,

I am performing mental gymnastics, and I hope someone can fill in the gap in my stats knowledge.

I've always calculated False Positive Rate as : (False positive / (False positive + True Negative)) * 100.

I am currently working on something where I am calculating True Prevalence = (Apparent Prevalence + Specificity - 1) / (Sensitivity + Specificity - 1).

To Calculate Apparent Prevalance, I've seen either [Apparent prevalence = True positive rate + False positive Rate] OR [Apparent prevalence = (True positive + False positive) / Total Population].

Here is my gap/issue. I was planning to use Apparent prevalence = (True positive + False positive) / Total population. However, this publication, in which I was modelling my True Prevalence calculation off of, calculates False Positive Rate differently: False Positive Rate = (False positive / Total population)

Is this a "tomaytoe" / "tomatoe" type of thing or is what I am calculating just % False positive vs their False Positive Rate. I just need some clarification as I'm not getting anywhere on my own.

Many Thanks!

u/Fun-Dragonfruit2353 — 7 days ago