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Evidence-Based Medicine
Diagnostic Studies Mindy Smith and Henry Barry
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Objectives Formulate precise question Understand test characteristics
Sensitivity and specificity Predictive values Likelihood ratios Critically appraise article
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Sensitivity & Specificity
true positive rate P(T+)|D+ Specificity true negative rate P(T-)|D-
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2x2 table Se = a/(a+c) Sp = d/(b+d)
Both are constant characteristics of the test
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Practice case 500 patients with IBS and 500 normal volunteers have standing stool velocities. 400 IBS patients have abnormal SSV and 150 normal volunteers have abnormal SSV.
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Practice 2x2 Se = ? Sp = ?
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Practice 2x2 500 500 Se = 0.8 Sp = 0.7
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Conundrums Requirement:
to calculate sensitivity and specificity, you have to know beforehand who is diseased and disease-free We order diagnostic tests because we DON’T know if the patient is diseased!
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What does all that mean? To interpret the results of a test, you have to know how likely the disease is in the first place pre-test probability disease prevalence positive and negative predictive value are dependent upon pre-test probability
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Selecting tests Ruling in disease Ruling out disease
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Rules of thumb SpPIn SnNOut
a very Specific test, when Positive, rules In disease SnNOut a very Sensitive test, when Negative, rules Out disease
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Critical Appraisal What are the ONLY things we ever need to know? (hint, three questions) are the results valid? what are the results? can you apply them?
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Critical Appraisal: Validity
Are the results valid? independent, blind comparison to gold standard spectrum of severity reference used in all patients
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Critical Appraisal: Results
What are the results? Sensitivity/specificity Likelihood ratios
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Critical Appraisal: Applicability
Available, affordable, accurate and precise Can you estimate pre-test probability? Will post-test probabilities affect your management? Do the consequences of the test help your patient?
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Likelihood ratio LR+ LR-
(probability of positive test in diseased subjects)/(probability of positive test in non-diseased subjects) se/(1-sp) or True positives/False Positives LR- (probability of negative test in diseased subjects)/(probability of negative test in non-diseased subjects) (1-se)/sp or False negatives/true negatives
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LR 2x2 Table LR+ = ((a/(a+c))/((b/(b+d)) LR- = ((c/(a+c))/((d/(b+d))
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Working with Likelihood Ratios
Pretest probability = 10% LR+ = 11 What is the post-test probability?
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An easier way
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An easier way
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Summary Post-test probability of disease is a function of pre-test probability Reverend Bayes Sensitivity and specificity have limited clinical utility SpPIn and SnNOut Likelihood ratios have more clinical utility
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Teaching Points Very sensitive tests rule out disease when negative (SnNOut) Very specific tests rule in disease when positive (SpPIn)
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More Teaching Points Key validity issues: independent and blind comparison to a gold standard, spectrum of illness severity Post-test probability depends upon the pre-test probability of disease Likelihood ratios tell by how much a given test will increase or decrease pre-test probability
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