Logistic regression model, Basic Statistics

Model 1:  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 850.

(1)     For X1=2 and X2=1 compute the log-odds ratio for each group, i.e. X3=0 and X3=1.

(2)     For X1=2 and X2=1 compute the odds ratio for each group, i.e. X3=0 and X3=1.

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

(4)    Using the equation for M1, compute the relative odds associated with X3, i.e. the relative odds ratio of Group B compared to Group A.

(5)    Use the odds ratios for each group to compute the relative odds of Group B to Group A.   How does this number compare to the result in Question #4.  Does this make sense?

Model 2:  Now let's consider an alternate logistic regression model, which we will refer to as Model 2, given by

log(pi / [1-pi]) = 0.25 + 0.32*X1 + 0.70*X2 + 0.50*X3 + 0.1*X4       (M2),

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 from fitting this model to the same 100 observations as M1 is 910.

(6) Use the G statistic to perform a likelihood ratio test of nested models for M1 and M2.  State the hypothesis that is being tested, compute the test statistic, and test the statistical significance using a critical value for alpha=0.05 From these results should we prefer M1 or M2?

Posted Date: 3/28/2013 1:49:49 AM | Location : United States







Related Discussions:- Logistic regression model, Assignment Help, Ask Question on Logistic regression model, Get Answer, Expert's Help, Logistic regression model Discussions

Write discussion on Logistic regression model
Your posts are moderated
Related Questions
How does the t-distribution changes its shape with the change of the size of the sample?


Long Term Credit Decision In no more than one typed page, provide a statement of your decision to lend or not lend to this company based on your interpretation of the company'

For an alignment shown below derive log-odds score for the column 1 only by a)  Computing observed probability values b)  Expected probability values TAGCTT AAGCTC T

prof. ya-lu-chan definitions statistices

List down various measures of central tendency and explain the difference between them?

The researcher and the respondents do not come in contact with each other if this method of survey is adopted Questionnaires are mailed to the respondents with a request to re

1) Working in your groups analyse the organisation of information that the Facebook social networking site potentially uses. 2) Suggest the organisation of information and data

Explain definition of bad debt reserve and provision in terms of accounts receivable likely to be uncollected. Bad debt reserve provision Bad debt reserve provision is a amount

what are the characteristics