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Evidence based medicine Diagnostic tests Ross Lawrenson
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Diagnostic tests When looking at a paper about a diagnostic test we ask ourselves three questions.
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Diagnostic tests Is this test useful?
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Diagnostic tests Is this test useful? Is it reliable?
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Diagnostic tests Is this test useful? Is it reliable? Is it valid?
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Is this test useful? The test should have been researched in a study population relevant to the individual or population in whom it is to be used.
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Reliability Reliability refers to the repeatability or reproducibility of a test. It can be assessed by repeating the test using the same or different observers.
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Validity Relates to whether the test measures what it purports to measure. Is the result true?
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Validity For example if you measure blood pressure in an obese patient and use a cuff that is too small you are likely to get a falsely high reading. The reading maybe reliable (you get the same blood pressure if you do it again) but it lacks validity.
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Sensitivity and specificity
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DiseaseHealthyTotal Test + a b a+b Test - c d c+d Total a+c b+d Sensitivity and specificity
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Sensitivity The probability that the test will be positive if the disease is present = a/a+c
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Sensitivity The probability that the test will be positive if the disease is present = a/a+c A sensitive test is likely to also record a number of false positive tests
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Sensitivity If the cut off point of this test is set low then it will be sensitive (all patients with disease will test positive) but there will also be a number of false positives DiseasedHealthy
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Specificity Theprobability that the test will be negative if the disease is truly absent. d/b+d
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Specificity Theprobability that the test will be negative if the disease is truly absent. d/b+d In this situation there is a high likelihood of false negatives.
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Accuracy of the test (a+d)/(a+b+c+d)
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Example 5000 women underwent a test for blood glucose at 24 weeks following a glucose load. 243 women were found to have a blood glucose greater than 6.8 mmol/L and were referred for an OGTT. 186 were found to have gestational diabetes. Four women who initially had tested negative were diagnosed as having diabetes later in their pregnancy.
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Example Prevalence Sensitivity Specificity Positive predictive value Negative predictive value Likelihood ratio + test Likelihood ratio - test Accuracy
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DiabetesNo diabetesTotal Positive18657243 Negative447534757 Total19048105000
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Example Prevalence190/5000 Sensitivity186/190 Specificity4753/4810 Positive predictive value186/243 Negative predictive value4753/4757 Likelihood ratio + test(186/190)/(57/4810) Likelihood ratio - test(4/190)/(4753/4810) Accuracy186+4753/5000
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Gold standard..
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The gold standard is the test or battery of tests that will most accurately diagnose a particular disease or condition. Thus traditionally the OGTT has been seen as the gold standard when testing for diabetes. Other diagnostic tests may have a gold standard that is too expensive or invasive for routine use e.g. fluoroscein angiography for diabetic retinopathy. Sometimes the gold standard is a battery of tests or symptoms e.g. the Jones criteria for rheumatic fever
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Percent agreement AbnormalSuspectNormal AbnormalABC SuspectDEF NormalGHI Percent agreement = (A+E+I) / Total X100
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Percent agreement MelanomaIndeterminateBenign Melanoma101 Indeterminate000 Benign0016 Percent agreement = (10+0+16)/37 X100 = 70 %
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KAPPA SecondExam NormalRetinopathyTotal FirstNormal461056 ExamRetinopathy123244 Total5842100 Observed agreement = 46 + 32/100 = 78%
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KAPPA SecondExam NormalRetinopathyTotal FirstNormal58%x5642%x5656 ExamRetinopathy58%x4442%x4444 Total5842100
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KAPPA SecondExam NormalRetinopathyTotal FirstNormal32.523.5 ExamRetinopathy25.518.5 Total Agreement expected by chance =32.5+18.5/100 =51%
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