[R] Likelihood ratio test using R

[Maithili Shiva]

Hi!

I am working on the Logistic Regression using R. My R script is as follows


ONS <- read.csv("ONS.csv",header = TRUE)

ONS.glm <- glm(Y ~ Age1+Age2+Sex+Education+Profession+TimeInJob+ TimeInCurrentJob+OwnResidence+Dependents+ApplIncome+FamilyInco+IIR+FOIR+YearsAtBank+SavingsAccount+CurrentAccount, family = binomial(link = logit), data=ONS)

summary(ONS.glm)


OUTPUT (RESULT) is as follows -

Deviance Residuals:
    Min       1Q   Median       3Q      Max 
-1.7888  -0.6910  -0.3220  -0.2179   3.1608 

Coefficients:
                   Estimate Std. Error z value Pr(>|z|)   
(Intercept)      -1.454e+00  1.380e-01 -10.532  < 2e-16 ***
Age1              2.313e-01  9.902e-02   2.336   0.0195 * 
Age2             -6.648e-01  5.209e-02 -12.761  < 2e-16 ***
Sex              -7.012e-01  7.325e-02  -9.572  < 2e-16 ***
Education        -5.271e-01  7.963e-02  -6.619 3.61e-11 ***
Profession       -3.512e-01  4.908e-02  -7.155 8.38e-13 ***
TimeInJob        -3.107e-01  1.980e-01  -1.569   0.1166   
TimeInCurrentJob  2.752e+00  1.895e-01  14.521  < 2e-16 ***
OwnResidence      1.608e+00  1.858e-01   8.654  < 2e-16 ***
Dependents       -4.066e-01  1.867e-01  -2.178   0.0294 * 
ApplIncome       -6.401e-02  4.319e-03 -14.820  < 2e-16 ***
FamilyInco        7.148e-02  7.389e-03   9.674  < 2e-16 ***
IIR               5.765e-02  1.353e-02   4.262 2.03e-05 ***
FOIR              7.383e-07  1.056e-07   6.990 2.74e-12 ***
YearsAtBank      -1.926e-07  3.519e-08  -5.473 4.42e-08 ***
SavingsAccount   -2.083e-07  1.785e-07  -1.167   0.2432   
CurrentAccount   -1.550e+00  1.107e-01 -14.008  < 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: 39300  on 42499  degrees of freedom
Residual deviance: 32534  on 42483  degrees of freedom
AIC: 32568

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Question No - (1)

What does this means?

Deviance Residuals:
    Min       1Q   Median       3Q      Max 
-1.7888  -0.6910  -0.3220  -0.2179   3.1608


Question No - (2)

What does this means?

Null deviance: 39300  on 42499  degrees of freedom
Residual deviance: 32534  on 42483  degrees of freedom


And this is the last question

Question No - (3)

To test Ho : All regression coefficients are ZERO, I need to use Likelihood Ratio Test (G) and the related p value. When I use minitab, I get value of G and related p, but using R language, how do I get value of G and p value?

_____________________________________________________________

I am sincerely sorry for raising these many questions? But I am sure there will be many like me who will also be immensely benefited by the replies, I may get pertaining to these questions.


Thanking you all in advance,

With warm regards

Maithili Shiva