Evaluating clinical tests Flashcards
Positive Predictive Value
PPV = TP/(TP+FP)
Falls when prevalence falls
Negative Predictive Value
NPV = TN/(TN+FN)
Increases if prevalence falls
Sensitivity (true positive rate)
Sensitivity = TP/(TP+FN)
Unaffected by prevalence
Specificity (true negative rate)
Specificity = TN/(FP+TN)
False positive rate = 1 - specificity
Unaffected by prevalence
Accuracy
(TP + TN) = (TP + FP + TN + FN)
Likelihood ratio for a positive test result (LR+)
LR+ = TP/FP
LR+ = sensitivity / (1 - specificity)
LR+ > 1 - positive test more likely in a person with a disease than without
LR+ <1 - positive test less likely to occur in a person with disease than without
LR+ 10 or more - significantly increase the probability of a disease
Likelihood ration for a negative test result (LR-)
LR- = FN/TN
LR- = (1 - sensitivity)/specificity
LR- > 1 = negative test is more likely to occur in people with the disease than without
LR- <1 = negative test less likely to occur in people with the disease than without
LR- 10 or more - significantly increase the probability of disease, below 0.1 - virtually rules out disease
Pre test odds
Pre test probability/[1-pre test probability])
Post test odds
Pre test odds x likelihood ratio
Pre test probability
Point prevalence or period prevalence
Post test probability
Post test odds / [1 + post test odds]
Absolute risk reduction (ARR) aka attributable risk / ABI
CER - EER
Number needed to treat (NNT) / Number needed to harm (NNH)
1 / ARR
Relative Risk Reduction (RRR)
ARR / CER
Confidence interval
CI = mean +- (ZxSE)
Z = 1.96 for a confidence interval of 95%
SE = standard error
Type 1 Error
Alpha error, error of the first kind, false positive
When a true null hypothesis is incorrectly rejected
Type 2 Error
Beta error, error of the second kind, false negative
Population Attributable Risk
ARR x proportion exposed
Range of values
Probabilities: 0-1
Absolute risks: 0-1
Attributable risks: -1-+1
Relative risk: 0 to infinity
Odds: 0 to infinity
Odds ratio: 0 to infinity
Relative Benefit Increase (RBI)
RR - 1
Patient Expected Event Rate (PEER)
Control event rate in local population in which the intervention is planned
ABI (new) = RBI x PEER
NNT (new) = 1/ABI(new) or NNT (new) = NNT (old) / F value
(will be given PEER value or F value to make calculations)
Variance
Sum of squared differences of individual observations from mean / (number of observations -1)
SD
SD = square root of variance