Let's talk about sensitivity and specificity, throw in some prevalence, then look at positive and negative predictive value... I hope you have your thinking caps on for this one... All after the jump...
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| He'll be jumping off the "screen." Get it? |
CONSIDER THE FOLLOWING
Take a look at the following 2-by-2 table:
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| Don't worry... I'll explain A, B, C, and D next. |
It's not the only time we'll use 2-by-2 tables in this night school. In fact, they will come in very handy when talking about case-control studies and outbreak investigations. But, for screening tests, we are only interested in certain aspects of the table.
SENSITIVITY
Sensitivity is the ability of a test to truly identify a positive when a patient really has the disease. If the sensitivity is low, there will be more false-negatives. This can be a problem with pregnancy tests, for example. You'll have more women who don't get timely prenatal care if they really are pregnant but test negative. This is also a problem with HIV testing because you'll miss the opportunity to give antiviral medication if you are infected but test negative. In our 2-by-2 table above, sensitivity is A divided by A+C. A is the number of people with the disease who test positive (true positives), while A+C is the total number of people with the disease. For example, if you have 100 people with the disease, and 90 of them test positive, then the sensitivity (90/100) is said to be 90%, and there will be 10 false-negatives (C).
SPECIFICITY
Simply stated, specificity is the ability of a test to truly identify a negative when a patient really is negative for the disease. If the specificity is low, then there will be more false-positives. This can be a bit of a problem if, for example, you're trying to determine whether to give someone an intervention (medication, vaccine, etc.) based on their positive/negative status. A false-positive pregnancy test may delay radiographic imaging. A false-positive HIV test may lead to unnecessary antiviral medication being prescribed. In our 2-by-2 table above, specificity is D divided by B+D. D is the number of people without the disease who test negative (true negatives) divided by B+D, all the people without the disease. For example, if you test 100 people who are disease-free, and 80 of them test negative, then the specificity (80/100) is said to be 80%, and there will be 20 false-positives (B).
POSITIVE PREDICTIVE VALUE
A lot of health care providers are not too worried with sensitivity and specificity. Instead, they are worried about the positive predictive value (PPV) of a test. The PPV answers the question: Of all the people that test positive, how many of them are truly sick? (Specificity, on the other hand, answers: Of all the people that are sick, what proportion will test positive?) PPV is important to providers because they want to have that knowledge in order to act on a positive test.
PPV can be determined from our 2-by-2 table by taking A and dividing it by A+B. A is the number of people sick who test positive (true positives) divided by all the people who tested positive (A+B). For example, 110 people test positive, but only 90 of them are really sick. Your PPV is 90/110 or 81.8%. This tells the provider that about 82% of people who test posi


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