In: Statistics and Probability
Two new tests were developed to test cerebrospinal fluid for presence of cytomegalovirus in neurologically diseased newborns. The table below shows the findings of this trial.
Immunohistochemistry on brain material |
PCR |
Antigen capture ELISA |
|
Positive |
49 |
52 |
45 |
Negative |
223 |
220 |
227 |
Total |
272 |
272 |
272 |
PCR: sensitivity 95.9%, specificity 97.8%. Antigen capture ELISA sensitivity: 89.8%, specificity 99.6%.
(3 pts.) Choose ONE of the tests and complete a 2x2 table for it.
(4 pts.) A county health department has chosen to modify the exam to use sera, and wants to employ it as a screening test of all newborns. Given the goal of detecting all affected newborns (even those without symptoms), which test would the health department prefer? BRIEFLY explain why.
Two-by-Two table (false-positive, true-positive, false-negative and true-negative results) of the PCR test
The sensitivity of the PCR is given to be 95.9% and specificity of the PCR is given to be 97.8%
The formula for calculating sensitivity is
.........................eq(1)
The formula for calculating specificity is
.........................eq(2)
From the above given we above we have
Positive = TP + FP = 52.........................eq(3)
Negative = TN+FN = 220.........................eq(4)
Solving the 4 simultaneous equations we get,
True positives, TP = 47
False positives, FP = 5
True negatives, TN = 218
False negatives FN = 2
TP (true positives) stands for the number of subjects who have been tested positive given they have the disease.
FP (false positive) stands for the number of subjects who have been tested positive given they don’t have the disease.
FN (false negative) stands for the number of subjects who have been tested negative given they have the disease.
TN (true negative) stands for the number of subjects who have been tested negative given they don’t have the disease
A standard 2 x 2 Standard table for PCR test can be presented as
PCR test | CMV present | CMV absent | Total |
Test positive | True Positive, TP | False positive, FP | TP+FP |
Test Negative | False negative FN | True negatives, TN | FN+TN |
Total | TP+FN | FP+TN | TP+FP+FN+TN |
Inserting the values in the above table, we get
PCR test | CMV present | CMV absent | Total |
Test positive | 47 | 5 | 52 |
Test Negative | 2 | 218 | 220 |
Total | 49 | 223 | 272 |
A county health department has chosen to modify the exam to use sera, and wants to employ it as a screening test of all newborns. Given the goal of detecting all affected newborns (even those without symptoms), which test would the health department prefer? BRIEFLY explain why.
The data for this question is not provided. details about sera? data of affected newborns (even those without symptoms) is not provided. So, I am unable to answer this question.
Please rate the solution of the first part if it helps you. Thank you.