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st: areg, regress, and cluster()


From   Garrett Glasgow <[email protected]>
To   [email protected]
Subject   st: areg, regress, and cluster()
Date   Wed, 21 Jul 2004 17:43:14 -0700

Hi,
  I'm estimating a regression on how changing political party platforms affect
vote shares.  I included country-specific dummy variables, and I'm also using
robust clustered standard errors (clustering on countries) as there's likely to
be (negative) correlation between parties in vote share.
  I first estimated the model without clustering, first with areg, and then with
regress and a set of dummy variables.  As expected, the results were identical.
  However, when I add the cluster option it looks like Stata is making different
corrections to the degrees of freedom in the t-test for statistical
significance in these models, as well as doing some other things differently. 
The output from both models is below:

. regress vgain vgainone ingovnow dirvshift pshift2a idparty idpshift
Italy Britain Greece Luxembourg Denmark Netherlands Spain,
cluster(ctrynum)

Regression with robust standard errors          Number of obs =     158
                                                F(  5,     7) =       .
                                                Prob > F      =       .
                                                R-squared     =  0.1477
Number of clusters (ctrynum) = 8                Root MSE      =  4.5572

-----------------------------------------------------------------------
             |               Robust
       vgain |      Coef.   Std. Err.   t   P>|t|  [95% Conf. Interval]
-------------+---------------------------------------------------------
    vgainone |  -.1540838   .0951223 -1.62  0.149  -.3790123   .0708447
    ingovnow |  -2.295443   .9807013 -2.34  0.052  -4.614434   .0235466
   dirvshift |   3.332989   1.629255  2.05  0.080  -.5195878   7.185565
    pshift2a |    .808739   .8450504  0.96  0.370  -1.189488   2.806966
     idparty |   .2054125   1.252439  0.16  0.874  -2.756136   3.166961
    idpshift |   -3.21951   1.211969 -2.66  0.033  -6.085362  -.3536578
       _cons |  -.1867649   .8090965 -0.23  0.824  -2.099974   1.726444
(7 dummy varibles omitted)
-----------------------------------------------------------------------

. areg vgain vgainone ingovnow dirvshift pshift2a idparty idpshift,
absorb(ctrynum) cluster(ctrynum)

Regression with robust standard errors          Number of obs =     158
                                                F(  5,   144) =   12.84
                                                Prob > F      =  0.0000
                                                R-squared     =  0.1477
                                                Adj R-squared =  0.0707
                                                Root MSE      =  4.5572
                   (standard errors adjusted for clustering on ctrynum)
-----------------------------------------------------------------------
             |               Robust
       vgain |      Coef.   Std. Err.   t   P>|t|  [95% Conf. Interval]
-------------+---------------------------------------------------------
    vgainone |  -.1540838   .0951223 -1.62   0.107  -.3421002   .0339326
    ingovnow |  -2.295443   .9807013 -2.34   0.021  -4.233873  -.3570138
   dirvshift |   3.332989   1.629255  2.05   0.043   .1126434   6.553334
    pshift2a |    .808739   .8450504  0.96   0.340  -.8615666   2.479044
     idparty |   .2054125   1.252439  0.16   0.870  -2.270128   2.680953
    idpshift |   -3.21951   1.211969 -2.66   0.009  -5.615058  -.8239616
       _cons |   .4581699   .8376469  0.55   0.585  -1.197502   2.113842
-------------+----------------------------------------------------------
     ctrynum |   absorbed

As you can see, the coefficients, standard errors, and t-ratios are identical. 
However, the p-values associated with those t-ratios differs.

What accounts for these differences?

Thanks,
Garrett

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