Homework Help is Here – Start Your Trial Now!
Math
Statistics
Suppose a diagnostic test for disease D gives results that are continuous and normally distributed. For people without disease D the distribution is normal with mean 80 and standard deviation 15; and for those with disease D it is normal with mean 120 and standard deviation 20. You decide that levels ? 100 will be classified as positive, and levels < 100 negative. Find the sensitivity and specificity of this test. Change the cut point from 100 to 90,

Suppose a diagnostic test for disease D gives results that are continuous and normally distributed. For people without disease D the distribution is normal with mean 80 and standard deviation 15; and for those with disease D it is normal with mean 120 and standard deviation 20. You decide that levels ? 100 will be classified as positive, and levels < 100 negative. Find the sensitivity and specificity of this test. Change the cut point from 100 to 90,

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

So im not sure how to even start this question. How do we calculate the sensitity and specificity only given the sample Mean and sigma. 

Suppose a diagnostic test for disease D gives results that are continuous and normally distributed. For people without disease D, the distribution is normal with a mean of 80 and a standard deviation of 15; and for those with disease D, it is normal with a mean of 120 and a standard deviation of 20. You decide that levels ≥ 100 will be classified as positive, and levels < 100 as negative. Find the sensitivity and specificity of this test. Change the cut point from 100 to 90, recalculate the sensitivity and specificity. Pick several more cut points and plot the ROC curve.
Transcribed Image Text:Suppose a diagnostic test for disease D gives results that are continuous and normally distributed. For people without disease D, the distribution is normal with a mean of 80 and a standard deviation of 15; and for those with disease D, it is normal with a mean of 120 and a standard deviation of 20. You decide that levels ≥ 100 will be classified as positive, and levels < 100 as negative. Find the sensitivity and specificity of this test. Change the cut point from 100 to 90, recalculate the sensitivity and specificity. Pick several more cut points and plot the ROC curve.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS