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st: too good to be true : lr test in mlogit?


From   John Litfiba <cariboupad@gmx.fr>
To   statalist@hsphsun2.harvard.edu
Subject   st: too good to be true : lr test in mlogit?
Date   Fri, 13 May 2011 10:12:34 +0200

Dear all (again)

I was wondering if my results seems too good to be true. I run a
multinomial logit for yvar (caterical variable with 4 possible values)
and I obtain the following results :

1) It is normal to obtain such a negative log likelihood when we use
very large sample, right ? (n=2 millions here)
2) if the association (for example given by tabulation) show that
there is strong association between yvar and xvar1 then it is
plausible to obtain this fastastic LR statistic of... 140000 ??


Many many thanks in advance

mlogit yvar xvar1 xvar2

Iteration 0:   log likelihood = -1953742.5
Iteration 1:   log likelihood =   -1900152
Iteration 2:   log likelihood = -1883338.4
Iteration 3:   log likelihood =   -1880317
Iteration 4:   log likelihood = -1880312.7
Iteration 5:   log likelihood = -1880312.7

Multinomial logistic regression                   Number of obs   =    2227058
                                                  LR chi2(6)      =  146859.43
                                                  Prob > chi2     =     0.0000
Log likelihood = -1880312.7                       Pseudo R2       =     0.0376

------------------------------------------------------------------------------
       order |      Coef.   Std. Err.      z    P>|z|     [95% Conf. Interval]
-------------+----------------------------------------------------------------
yvar0 |  (base outcome)
-------------+----------------------------------------------------------------
yvar1           |
      xvar1 |  -2.137044   .0104876  -203.77   0.000    -2.157599   -2.116489
      xvar2|  -.0099444   .0001223   -81.32   0.000    -.0101841   -.0097047
       _cons |   1.708873   .0125759   135.88   0.000     1.684225    1.733522
-------------+----------------------------------------------------------------
yvar2         |
      xvar1 |   .8905294   .0734511    12.12   0.000     .7465678    1.034491
      xvar2 |  -.0087927   .0003393   -25.92   0.000    -.0094576   -.0081277
       _cons |  -3.672227   .0758592   -48.41   0.000    -3.820908   -3.523546
-------------+----------------------------------------------------------------
yvar3          |
      xvar1 |  -3.826486   .0113315  -337.69   0.000    -3.848695   -3.804276
      xvar2 |  -.0054125   .0002488   -21.76   0.000    -.0059002   -.0049249
       _cons |   1.244583   .0180673    68.89   0.000     1.209171    1.279994
------------------------------------------------------------------------------
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