Epidemiology question Public health stakeholders decide to target their diabetes

Question

Epidemiology question

Public health stakeholders decide to target their diabetes-screening program to higher risk populations (e.g. overweight, family history, etc.). Prevalence of undetected diabetes in this higher risk population is approximately 8.5%. 10,000 persons total were screened during the program. The sensitivity and specificity associated with this screening test are 22.9% and 99.8 %, respectively.

a) Create the 2x2 table (hint: you have information about the prevalence of undetected diabetes)

b) If someone tests positive, what is the chance that this person actually has diabetes?

c) If someone tests negative, what is the chance that this person does not have diabetes

Explanation / Answer

a)P(test positive and have diease)=0.229*0.085 =0.019465

P(test negative and have diease) =0.085-0.019465 =0.065535

P(test negative and not have disease) =0.998*(1-0.085)=0.91317

P(test positive and not have disease) =(1-0.085)-0.91317 =0.021295

b)

P(has diabetes |test positive)==0.019465/0.021295=0.9141

c)

P(not have diabetes |test negative)=0.91317/0.978705 =0.9330

test postiive test negative total have disease 0.019465 0.065535 0.085 not have disease 0.00183 0.91317 0.915 total 0.021295 0.978705 1

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