[R] Interpreting Logistic Regression

From: Madhavi Bhave <madhavi_bhave_at_yahoo.com>
Date: Wed, 20 Aug 2008 23:54:21 -0700 (PDT)

Hi !

This is Madhavi from Mumbai, India. Incidently this is my first post.

I am working on Credit Scoring Model and using R, I have run the logistic regression. I have received following Output.

I have two questions

(a) What is the significance of "family = binomial(link = logit)". Why do I have to mention Binomial? Is it because my dependent variable assumes only two values 0 and 1? Can I write name of some other Statistical distribution (say Poisson or Negative Binomial) in place of Binomial? How will it affect my results?

(b) How do I interpret the "R" result as given below? I know all the variables are significant. How do I get Log Likelihood ratio, Odds ratio etc.?

Please can anyone help me out.

With warm regards

Madhavi

R OUTPUT Call:
glm(formula = Y ~ Age1 + Age2 + Sex + Education + Profession + SavingsAccount +     CurrentAccount, family = binomial(link = logit), data = ons)

Deviance Residuals:
     Min        1Q    Median        3Q       Max   -3.21142  -0.42556  -0.15911  -0.02954   3.02465  

Coefficients:
                  Estimate Std. Error z value Pr(>|z|)    
(Intercept)       2.627725   0.110752  23.726  < 2e-16 ***
Age1              0.692180   0.070410   9.831  < 2e-16 *** Age2             -2.817883   0.080801 -34.874  < 2e-16 *** Sex              -0.486132   0.049766  -9.768  < 2e-16 *** Education        -0.682142   0..046507 -14.667  < 2e-16 ***

Profession       -0.690937   0.069032 -10.009  < 2e-16 ***
SavingsAccount   -1.891455   0.074906 -25.251  < 2e-16 ***
CurrentAccount   -1.367460   0.079604 -17.178  < 2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 


(Dispersion parameter for binomial family taken to be 1)
    Null deviance: 26932  on 24999  degrees of freedom Residual deviance: 14615  on 24983  degrees of freedom   (2 observations deleted due to missingness) AIC: 14649 Number of Fisher Scoring iterations: 6 Unlimited freedom, unlimited storage. Get it now, on http://help.yahoo.com/l/in/yahoo/mail/yahoomail/tools/tools-08.html/ [[alternative HTML version deleted]]

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Received on Thu 21 Aug 2008 - 06:56:32 GMT

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