Mark Blackmore
August 30, 2017
Suppose you take a diagnostic screening test for a particular condition or disease.
You test is postive. What is the probability you have the disease?
You test is negative. What is the probability you have the disease?
This Shiny application answers these questions.
User Inputs
Prevalence: Percent of the population that has the disease
Sensitivity: Detection rate of people with disease. Also called the True Positive Rate.
Specificity: Detection rate of people without the disease. Also called the True Negative Rate
Outputs
Postive Predictive Value (PPV): Given you a positive test result, the probability that you actually have the disease.
False Omission Rate (FOR): Given a negative test results, the probability that you actually have the disease.
# Inputs
Prevalence <- 0.09
Sensitivity <- 0.41
Specificity <- 0.93
# Calculations & Outputs
print(PPV <- (Sensitivity * Prevalence) / ((Sensitivity * Prevalence +
(1 - Specificity)*(1 - Prevalence))))
[1] 0.3667992
print(FOR <- 1 - (Specificity * (1 - Prevalence)) / ((1- Sensitivity) * Prevalence +
(Specificity*(1 - Prevalence))))
[1] 0.05903936