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
In order to derive meaningful results from the statistical tables the researcher may use one or more of the followings four steps: a.The first step is to calculate relevant meas

it seems that 14% of engaged women buy a wedding dress at least one size smaller than their current size

Manchester Custom Fabricating Company uses a job order system. At the beginning of May, Manchester had two jobs in process, Job #22 (DM = $600 and DL = $780), and Job #23 (DM = $75

the guinegog is a trader in portable cd-man. His budgeted output is 5000 units per quarter. The following data was available for the year 1998: Direct labour @ $6 Direct material @

Question: (i) A soft drink machine is regulated so that it fills an average of 300 cL per cup. If the amount of drink in each cup is normally distributed with standard deviati

A small specialized workshop is used to perform periodic check-up on some high-tech devices. The check up is made in three stages whose durations are independent random variables w

The study of radioactive disintegrations indicates the emission of alpha, beta and gamma particles/rays to be of nuclear origin. Further, study of artificial radioactivity has reve

An audit of the accounting records of Loch Ness Ltd. for the year ending 30 June 2012 discovered that the ending inventory balance was over-valued by $35,000

1 . Below are the points scored by the winning team in Week 10 of NFL professional football games this Fall, 2011. 24 17 44 13 21 24 30 20 37 26 17 22 27 37 37 45 a) Use thes

Income statement: Sosa Corporation recently reported an EBITDA of $31.3 million and $9.7 million of net income. The company has $6.8 million interest expense, and the corporate tax