Show that a binormal ROC curve is improper if the two normal distributions for diseased and nondiseased

Question:

Show that a binormal ROC curve is improper if the two normal distributions for diseased and nondiseased have different variances.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Applied Categorical And Count Data Analysis

ISBN: 9780367568276

2nd Edition

Authors: Wan Tang, Hua He, Xin M. Tu

See More Books

Question Posted: Mar 30, 2024 07:01 AM

See More Questions

Express the AUC of a binormal ROC curve in terms of the means and variances of the two underlying normal distributions.
In this exercise you will prove Theorem 9.8.2. a. Prove that the joint p.d.f. of the data given the parameters 1, 2, and can be written as a constant times b. Multiply the prior p.d.f. times the...
Consider two normal distributions, one with mean 4 and standard deviation 3, and the other with mean 6 and standard deviation 3. Answer true or false to each statement and explain your answers. a....
1. Dependence of business on environment (Define) 2. Business and environment ethics (Define) 3. Ethical behaviour includes 1) 2) 3) Business and Ecological (environmental ethics)
Information for Alta Products Ltd. is provided in P8-29A. In P8-29A Manufacturing costs Variable costs per unit Direct materials .........................................................................
The international accounting firm Ernst & Young performed a global survey on fraud. The results of that survey are summarized in a report titled Global Fraud Survey 2016. You can find this report by...
Explain with neat sketch and working principle of Lancashire boiler.
The Summit Petroleum Corporation will purchase an asset that qualifies for three-year MACRS depreciation. The cost is $160,000 and the asset will provide the following stream of earnings before...
In a single purchase crab length of handle is 600 mm and diameter of load drum is 200 mm. Number of teeth on pinions are 20 and that of spur wheel are 100. Find velocity ratio. On this machine, 100 N...
Show that for the binormal model in (10.3), if properness is further assumed, then this model reduces to the cumulative probit model with the disease status as the predictor and the ordinal test...
Let $S$ be a curve in the two-dimensional $x-y$ plane defined parametrically by $x=F(t)$ and $y=G(t)$, where $F$ and $G$ are smooth functions. Show that the slope of the tangent line at...
Use L'Hopital's rule to find each limit in Problems 1-14. 2. 4. 6. 8. 10. 12. 14. r6-1 im_ lim 8x +16 2 3 In x 11m lim lim 3x4 +6 2x2 +5 5 im limA
Examining Sellman Origin of Shang and Zhou Law Origin of Shang and Zhou Law, what does he argue about for and what does he argue against?
What is the lowest criminal court in Canada?
Goodyear Tires just completed a "Buy Three Get One Free" promotion on its ultra-grip SUV tires, regularly priced at $249.99 per tire. Over the course of the promotion, 1,405 tires were sold resulting...
Using Area_Ext 1. - Extend the class AreaShape to include methods to calculate: - Area of a Rectangle; - Area of a Triangle; - Area of the surface of a cylinder I think I'm on the right track, but...
PROBABILITY RETURN(X)% RETURN(Y)% 0.18 10 12 0.22 12 15 0.31 15 20 0.08 -8 25 0.21 2 15
A certain solid sample adsorbs 0.63 mg of CO when the pressure of the gas is 36.0 kPa and the temperature is 300 K. The mass of gas adsorbed when the pressure is 4.0 kPa and the temperature is 300 K...
Using thermodynamic data from Appendix 4, calculate G at 258C for the process: 2SO 2 (g) + O 2 (g) 88n 2SO 3 (g) where all gases are at 1.00 atm pressure. Also calculate DG8 at 258C for this same...
How do strategic foresight methodologies, such as trend analysis, horizon scanning, and wild card identification, inform the formulation of resilient strategic plans that are adaptive to emerging...
Is Top management involvement in setting health and safety policies is essential for avoiding setting an example of inaction?
Given two vectors A = 3 . 8 0 i ^ + 6 . 9 0 j ^ and B = 4 . 8 0 i ^ 2 . 3 0 j ^ find the scalar product of the two vectors A and B .

Show that a binormal ROC curve is improper if the two normal distributions for diseased and nondiseased

Question:

Step by Step Answer:

A binormal ROC curve is considered improper if the two normal distributions representing diseased and nondiseased cases have different variances Heres ...View the full answer

Applied Categorical And Count Data Analysis

Students also viewed these Statistics questions