The table below summarizes the results of a clinical trial testing a diagnostic device and its ability to determine if a patient with traumatic brain injury has bleeding in their brain. The actual clinical condition of the patient against which the device is being compared is a CT scan where a positive scan (CT+) means that they have bleeding in their brain; CT- means they don't have bleeding in their brain. The new diagnostic test will be useful if it can eliminate unnecessary CT scans by determining which patients don't have bleeding in their brain. Total number of patients Patients with positive test and CT+ 720 144 Patients with positive test and CT- 273 Patients with negative test and CT+ 12 Patients with negative test and CT- 291 1. Construct a confusion matrix for the accuracy of the diagnostic test. 2. Calculate the sensitivity, specificity, PPV and NPV for the diagnostic test. Which of these metrics is most important for the intended use of the device? Comment on the results.
The table below summarizes the results of a clinical trial testing a diagnostic device and its ability to determine if a patient with traumatic brain injury has bleeding in their brain. The actual clinical condition of the patient against which the device is being compared is a CT scan where a positive scan (CT+) means that they have bleeding in their brain; CT- means they don't have bleeding in their brain. The new diagnostic test will be useful if it can eliminate unnecessary CT scans by determining which patients don't have bleeding in their brain. Total number of patients Patients with positive test and CT+ 720 144 Patients with positive test and CT- 273 Patients with negative test and CT+ 12 Patients with negative test and CT- 291 1. Construct a confusion matrix for the accuracy of the diagnostic test. 2. Calculate the sensitivity, specificity, PPV and NPV for the diagnostic test. Which of these metrics is most important for the intended use of the device? Comment on the results.
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 14CR
Related questions
Question
Expert Solution
Step 1
A confusion matrix is used to reflect the outcomes of a binary classification model. In the binary classification model, let us denote the two classification classes as positive and negative. Then, the confusion matrix for the model is given as follows:
Using this confusion matrix, the performance metrics: sensitivity, specificity, PPV, and NPV are calculated.
Trending now
This is a popular solution!
Step by step
Solved in 7 steps with 3 images
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt