For the population of subjects having Y = j, X has a N( j , 2

Question:

For the population of subjects having Y = j, X has a N(µ_j, σ²)distribution, j = 0,1.

Using Bayes theorem, show that P(Y = 1|x) satisfies the logistic regression model with β = (µ₁ – µ₀))/σ².

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

Step by Step Answer:

Related Book For book-img-for-question

Categorical Data Analysis

ISBN: 9780471360933

2nd Edition

Authors: Alan Agresti

See More Books

Question Posted: Oct 10, 2018 01:24 PM

See More Questions

The table shows the mid-year populations (in millions) of five countries in 2015 and the projected populations (in millions) for the year 2025. (a) Find the exponential growth or decay model y = aebt...
Reconsider the study mentioned in the previous exercise about guessing the size of Milwaukees population. Do the data provide evidence of the anchoring phenomenon among students like the ones in this...
Anchoring is the common human tendency to rely too heavily, or anchor, on one trait or piece of information when making decisions. (Source: Wikipedia.) A group of students taking an introductory...
Peete's Coffee and Tea purchased equipment on March 1, 2022 for $17,400. It is estimated that the equipment will have a $300 salvage value at the end of its 6 -year useful life. It is also estimated...
Archer Hardware is adding a new product line that will require an investment of $1,460,000. Managers estimate that this investment will have a 10-year life and generate net cash inflows of $335,000...
1. , do we use book value, market value or target value of capital structure for weights? 2. what is the WACC for BearKat Autos (rounded to two decimal places, pick the closest one)? Instructor Hint:...
2
Garcia Corporation has paid 60 consecutive quarterly cash dividends (15 years). The last 6 months, however, have been a cash drain on the company, as profit margins have been greatly narrowed by...
Marin Inc. issues $4,000,000 of 5% bonds due in 5 years with interest payable at year-end. The current market rate of interest for bonds of similar risk is 7%. Click here to view the factor table....
Bed & Bath, a retalling company, has two departments-Hardware and Linens. The company's most recent monthly contribution format Income statement follows: Sales Variable expenses. Contribution margin...
For an I 2 contingency table, consider logit model (5.4). Given ( i > 0), show how to find ( i ) satisfying I = 0.
Table 5.19 refers to a sample of subjects randomly selected for an Italian study on the relation between income and whether one possesses a travel credit card. At each level of annual income in...
For flow-through entities with individual owners, how many times is flow through entity income taxed, who pays the tax, and what is the tax rate?
1. What does the phrase "cost of quality" mean? How might using this statement assist a company in addressing its quality issues? 2. What key distinctions exist between total quality human resource...
Does productivity in terms of output per labor our insure a company will be profitable? Why or why not? What questions should be asked to test whether productivity has increased? How do these answers...
How do the four Ps of marketing (product, price, promotion, place) differ in international markets?
Do you agree with the societal or political forces? Why or why not? Support your assertions with credible sources
How do the global transformational leadership models comprise a work environment that sees the need for change and embraces the new changes?Explain
Make the given changes in the indicated examples of this section and then solve the resulting problems. In Example 10, change the numerator to 2x 4 32x 2 and then simplify. Data from Example 10...
Express mass density in kg/m3 and weight density in lb/ft3. 1. Find the mass density of a chunk of rock of mass 215 g that displaces a volume of 75.0 cm3 of water. 2. A block of wood is 55.9 in. x...
An interviewer stands at a street corner and conducts interviews until obtaining a quota in various groups representing the relative sizes of the groups in the population. For instance, the quota...
A Reuters story (April 2, 2003) reported that The number of heart attack victims fell by almost 60% at one hospital six months after a smoke-free ordinance went into effect in the area (Helena,...
A randomized clinical trial is planned for AIDS patients to investigate whether a new treatment provides improved survival over the current standard treatment. It is not known whether it will be...
business law A partner may actively compete with the partnership True False
A company provided the following data: Selling price per unit $80 Variable cost per unit $45 Total fixed costs $490,000 How many units must be sold to earn a profit of $122,500?
Suppose a 10-year, 10%, semiannual coupon bond with a par value of $1,000 is currently selling for $1,365.20, producing a nominal yield to maturity of 7.5%. However, it can be called after 4 years...

For the population of subjects having Y = j, X has a N( j , 2

Question:

Step by Step Answer:

Let PY 1 By Bayes Theorem PY 1x exp x 1 2 ...View the full answer

Categorical Data Analysis

Students also viewed these Mathematics questions