Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Statistics and Probability Expert

This assignment will be made available in both pdf and Microsoft docx format. Answers should be typed into the docx file, saved, and converted into pdf format for submission into Blackboard. Color your answers in green so that they can be easily distinguished from the problems themselves.

All of these computations are covered in exs in the assigned reading, and hopefully in the notes that you have been taking.  If you need to refresh your memory, then begin by looking at Chapter 12 in Regression Analysis By ex and Chapter 1 in Applied Regression Analysis.

Throughout this assignment keep all decimals to four places, i.e. X.xxxx.

Any computations that involve “the log function”, denoted by log(x), are always meant to mean the natural log function (which will show as ln() on a calculator).  The only time that you should ever use a log function other than the natural logarithm is if you are given a specific base.

When stating the null and alternate hypotheses in any statistical test in PREDICT 410, we should always state these hypotheses in terms of the model parameters, i.e. the model coefficients denoted by the betas.

Foundations of Logistic Regression:

problem: What values can the response variable Y take in logistic regression, and hence what statistical distribution does Y follow? The response variable can take the value of either a 1 or a 0, and follows a binomial distribution.

problem: How are the parameters estimated in logistic regression? Is this different from how the parameters are estimated in Ordinary Least Squares (OLS) regression? Logistic regression parameters are estimated utilizing the maximum likelihood method, which is the same underlying method for OLS regression. However, with logistic regression, an iterative method conducted via software because it is more complicated to estimate nonlinear parameters β0 and β1. This differs from OLS, because the OLS method is by differentiating the sum of squared deviations.  This is an easier method because those deviations are linear in relation to β.

Coefficient estimates in logistic regression can also be found by utilizing the following methods

•    Non-iterative weighted least squares
•    Discriminant function analysis

problem: How do we define a “residual” in logistic regression, and how is it computed?

In Logistic Regression, the Deviance fills the same role as the residual sumo f squares in linear regression.

This is computed by calculating what is known as the likelihood-ratio test, Illustrated below:

D = - 2ln [(likelihood of the fitted model)/(likelihood of the saturated model)]

Model: Let’s consider the logistic regression model, which we will refer to as Model 1, given by

log(pi / [1-pi]) = 0.25 + 0.32*X1 + 0.70*X2 + 0.50*X3         (M1),

Where X3 is an indicator variable with X3 = 0 if the observation is from Group A and X3 = 1 if the observation is from Group B.  The likelihood value for this fitted model on 100 observations is 0.0850.

problem: For X1 = 2 and X2 = 1 compute the log-odds for each group, i.e. X3 = 0 and X3 = 1.
Group A (X3=0);
Group B (X3=1);

problem: For X1=2 and X2=1 compute the odds for each group, i.e. X3 = 0 and X3 = 1.

problem: For X1 = 2 and X2 = 1 compute the probability of an event for each group, i.e. X3 = 0 and X3 = 1.

problem: Using the equation for M1, compute the relative odds associated with X3, i.e. the relative odds of Group B compared to Group A.

problem: Use the odds for each group to compute the relative odds of Group B to Group A. How does this number compare to the result in above. Does this make sense?

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M9100
  • Price:- $55

Guranteed 36 Hours Delivery, In Price:- $55

Have any Question? 


Related Questions in Statistics and Probability

The middlecreek branch of the national bank of virginia has

The Middlecreek Branch of the national bank of Virginia has 8 real estate loans over $1,000,000. Of these 8 loans, 3 are "underwrite." A loan is underwater if the amount of the loan is greater than the value of the prope ...

Suppose that a population of size 3n is partitioned into

Suppose that a population of size 3n is partitioned into three subsets: n contractors, n carpenters, and n plumbers. Each person in this population has two preference relations: a preference relation over each one of the ...

1 true or false every experiment has as many conditions as

1. True or false: Every experiment has as many conditions as there are levels of the independent variable. 2. Give your own example of an environmental, instructional, and invasive experimental manipulation.

Why is a z score a standard score why can standard scores

Why is a z score a standard score? Why can standard scores be used to compare scores from different distributions?

A psychologist measures units of change for a memory test

A psychologist measures units of change for a memory test after students are given an opportunity to sleep only four hours. The following change units were obtained: 7, -12, 4, -7, 3, -10. Find the a) mean, b) median, c) ...

You have been asked to evaluate the effects of a new

You have been asked to evaluate the effects of a new educational video that was developed to reduce racial prejudice among adolescents. You plan to administer a pretest measure of racial attitudes to 60 adolescent partic ...

Business quantative analysis and statistics 1project

BUSINESS QUANTATIVE ANALYSIS AND STATISTICS 1 Project Management Scenario: You are a consultant with expertise in project management strategies. Select a possible project management situation from your current or future ...

Plot four different regression graphs x v y tomatometer v

Plot four different regression graphs (X v Y): Tomatometer v Audience, Budget v Gross, Budget v Tomatometer, Audience v Gross and find the best-fit line equation and correlation coefficient (r-value) for each one. X repr ...

A committee comprised of 15 members is called upon to

A committee comprised of 15 members is called upon to choose the prettiest color: red, blue, or yellow. The committee members simultaneously announce their strict preference relations among these three colors. If red is ...

Jenks co partially refunded 180000 of its outstanding 10

Jenks Co. partially refunded $180,000 of its outstanding 10% note payable, made 1 year ago to Arma State Bank by paying $180,000 plus $18,000 interest (having obtained the $198,000 by using $52,400 cash and signing a new ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro