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Table 2 Sensitivity Analysis

From: Another look at Emergency Department HIV screening in practice: no need to revise expectations

   Assuming X of the negatives were actually false positives
   0
(observed)
2
(0.95% prevalence of positives overall)
4
(1.1% prevalence of positives overall)
False negatives 0 Pr(+|A) 100% (95% CI 75.3%-100%) Pr(+|A) 100% (95% CI 75.3%-100%) Pr(+|A) 100% (95% CI 75.3%-100%)
   Pr(-|N) 100% (95% CI 99.8%-100%) Pr(-|N) 99.9% (95% CI 99.5%-100%) Pr(-|N) 99.7% (95% CI 99.3%- 99.9%)
   Pr(A|+) 100% (95% CI 75.3%-100%) Pr(A|+) 86.7% (95% CI 59.5%-98.3%) Pr(A|+) 76.5% (95% CI 50.1%-93.2%)
  1 Pr(+|A) 92.9% (95% CI 66.1%-99.8%) Pr(+|A) 92.9% (95% CI 66.1%-99.8%) Pr(+|A) 92.9%(95% CI 66.1%-99.8%)
   Pr(-|N) 100% (95% CI 99.8%-100%) Pr(-|N) 99.9% (95% CI 99.5%-100%) Pr(-|N) 99.7% (95% CI 99.3%-99.9%)
   Pr(A|+) 100% (95% CI 75.3%-100%) Pr(A|+) 86.7% (95% CI 59.5%-98.3%) Pr(A|+) 76.5% (95% CI 50.1%-93.2%)
  28
(1.2% false negatives)
Pr(+|A) 31.7% (95% CI 18.1%-48.1%) Pr(+|A) 86.7% (95% CI 59.5%-98.3%) Pr(+|A) 24.3% (95% CI 11.8%-41.2%)
   Pr(-|N) 100% (95% CI 99.8%-100%) Pr(-|N) 100% (95% CI 99.8%-100%) Pr(-|N) 99.7% (95% CI 99.3%-99.9%)
   Pr(A|+) 100% (95% CI 75.3%-100%) Pr(A|+) 100%(95% CI 75.3%-100%) Pr(A|+) 69.2% (95% CI 38.6%-90.9%)