EBM Flashcards
Positive Likelihood Ratio
LR+ = true positive / false positive
LR+ = sensitivity / (1-specificity)
Positive LR:
approx. increase in post-test probability of disease
+LR of 2 ==> 15% weak evidence to rule in disease
+LR of 5 ==> 30% moderate evidence to rule in disease
+LR of >10 ==> 45% strong evidence to rule in disease
Negative Likelihood Ratio
LR- = false negative / true negative
LR- = (1-sensitivity) / specificity
Negative LR:
approx. decrease in post-test probability of disease
-LR of 0.5 ==> -15% weak evidence to rule out disease
-LR of 0.2 ==> -30% moderate evidence to rule out disease
-LR of <0.1 ==> -45% strong evidence to rule out disease
LR: test or not?
If probability is between test and tx threshold, further testing is required.
If probability is below threshold, no testing is needed (worried about false positives).
If probability is above threshold, treat rather than continue testing (worried about false negatives).
Likelihood Ratio interpretations
LR > 1.0:
- the particular test result is more likely to occur in those with disease than those without
- larger +LR = more informative test
- best test to rule in disease = largest positive LR (LR greater than or equal to 10)
LR = 1.0:
- there is no difference in the probability of the particular test result (positive
result for LR+ and negative result for LR−) between those with and without the disease
- aka, the test is useless
LR < 1.0:
- the particular test result is less likely to occur in those with disease than those without
- smaller -LR = more informative test
- best test to rule out disease = lowest negative LR (LR less than or equal to 0.1)
number needed to harm (NNH)
number of individuals who need to be exposed to a certain risk factor before one person develops an outcome
NNH = 1/AR
AR = absolute risk
If NNH = 18, that means for every 18 patients there will be 1 who is harmed by the treatment
number needed to treat (NNT)
number of individuals that must be treated, in a particular time period, for one person to benefit from treatment
NNT = 1/ARR
ARR = absolute risk reduction
Absolute vs. Relative Risk
Absolute risk = actual risk of some event happening given the current exposure
Relative risk = ratio of [the probability of an event occurring in the exposed group] versus [the probability of the event occurring in the non-exposed group]
Experimental Event Rate (EER)
Where:
a = number of those exposed with disease
b = number of those exposed without disease
EER = a/(a+b) = the absolute risk of getting the disease in the exposed population
Control Event Rate (CER)
Where:
c = number of those NOT exposed with disease
d = number of those NOT exposed without disease
CER= c/(c+d) = the absolute risk of getting the disease in the unexposed population
Relative risk (RR)
RR = [a/(a+b)] divided by [c/(c+d)] = EER/CER
Relative risk = the absolute risk of getting the disease in the exposed population over the absolute risk in the unexposed
population
Absolute risk reduction (ARR)
ARR = |CER - EER|
ARR:
- is the number of percentage points actual risk goes down if you do something protective
- It is the ABSOLUTE difference in event rates between the experimental and control groups
Relative risk reduction (RRR)
RRR = |(CER- EER)/CER|
RRR:
- is the difference in event rates in relative terms expressed in relation to control event rate
- tells you by how much the treatment reduced the risk of bad outcomes relative to the control group
- RRR is more impressive than ARR
Confidence interval (CI)
- CI for a proportion that includes the value 1 is NOT statistically significant; for example: 95% (0.82, 1.35)