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
what is the advantages of face-to-face interview?

Company hopes to improve customer satisfaction, setting a goal of no more than 5% negative comments. A random survey of 350 customers found only 14 with complaints. Does this provi


Hi I have done my report based on SPSS data but need a help for deeper analyzing and correcting this what I have already done. Would you be able to help me and if so how much would

Define BIENNIUM A 24-month fiscal era. In Washington, the biennium expands from July 1 of odd numbered years to June 30 of odd numbered or more years.

define kurtosis with relevant examples

Basis of accounting This represents the technique and time of when income and costs or costs are acknowledged in the records and revealed in the fiscal reports. Talk about ACCRUAL

Check numbers for No Neighboring States with Video Gaming, 2% inflation, 4 Average Bets Numbers for 2018 Average Return -0.082 Net Income -$2,052,859 End of Year Cash $5,0

2. Two disks, each of radius 10.0 cm, are charged so that one has a charge of +10.0 nC and the other has a charge of -10.0 nC. The disks are then placed with their flat faces facin

College administrators across the country have become very concerned after noticing an increase in the number of deaths in college students from binge drinking.  Several psychologi