Soru

Zorluk: OrtaDiagnostic and Screening Test Performance

Physicians at an ambulatory clinic are validating a rapid point-of-care urine antigen test for *Legionella pneumophila*. During a localized outbreak, 800 adult patients with symptoms of community-acquired pneumonia undergo testing with both the rapid antigen test and a reference standard polymerase chain reaction (PCR) assay. The PCR assay detects *Legionella* in 150 patients. The rapid antigen test is positive in 105 of these PCR-positive patients. Additionally, the rapid antigen test is positive in 35 patients who are negative by PCR. What is the positive predictive value of the rapid antigen test in this patient population? (Express your answer as a percentage).

Cevap: 75 %

Cevap

75
The positive predictive value (PPV) is the probability that a patient with a positive test result actually has the disease. It is calculated by dividing the number of true positives (TP) by the total number of positive test results (TP + false positives [FP]). In this scenario, the TP is 105 (patients with PCR-confirmed infection who tested positive). The FP is 35 (patients without PCR-confirmed infection who tested positive). Therefore, the PPV is calculated as 105 / (105 + 35) = 105 / 140 = 0.75, which corresponds to 75%.

Adım Adım Çözüm

1
Extract the true positive (TP) and false positive (FP) values from the scenario.
TP = 105; FP = 35.
PPV calculation requires knowing how many patients correctly tested positive versus falsely tested positive.
2
Apply the Positive Predictive Value formula.
PPV=TPTP+FPPPV = \frac{TP}{TP + FP}
This formula determines the proportion of positive test results that are truly positive.
3
Substitute the values into the formula and solve.
105140=0.75\frac{105}{140} = 0.75
Provides the PPV as a decimal.
4
Convert the decimal to a percentage.
0.75×100=750.75 \times 100 = 75
The question asks for the answer as a percentage.

Anahtar Kavram

Positive Predictive Value (PPV)
Tahmini Süre:1m 0s
Bu soruyu puanla