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  • Ramsey Reset Test for single years vs whole data period

    Hi,

    I am running OLS regressions, firstly for 3 separate years (2006, 2010 and then 2015) and then for the whole data period (1995-2010). When I use -estat ovtest- the individual years (and even when I try five-year periods) fail to reject the null of no omitted variables,
    Code:
    reg AvgGrowth lagGII lagIncomeln lagCivilLiberty lagEthnic lagLinguistic lagReligious lagMuslim lagCatholic 
    > lagProtestant lagInflation lagLandlocked lagPopulationln lagTrade lagFinancialFreedom lagFiscalFreedom lagEd
    > ucation lagEducGap GII_Income EducGap_Income if Year==2006, robust
    
    Linear regression                               Number of obs     =         81
                                                    F(19, 61)         =       7.64
                                                    Prob > F          =     0.0000
                                                    R-squared         =     0.5197
                                                    Root MSE          =     1.7863
    
    -------------------------------------------------------------------------------------
                        |               Robust
              AvgGrowth |      Coef.   Std. Err.      t    P>|t|     [95% Conf. Interval]
    --------------------+----------------------------------------------------------------
                 lagGII |  -57.32564   21.19778    -2.70   0.009    -99.71321   -14.93806
            lagIncomeln |  -1.039012   2.384421    -0.44   0.665    -5.806956    3.728932
        lagCivilLiberty |  -.0821918   .2667543    -0.31   0.759    -.6155999    .4512163
              lagEthnic |   .6690179   1.238369     0.54   0.591    -1.807253    3.145289
          lagLinguistic |  -.1083739   1.031271    -0.11   0.917    -2.170528     1.95378
           lagReligious |  -1.097978   1.089466    -1.01   0.318      -3.2765    1.080544
              lagMuslim |  -.0096811   .0105531    -0.92   0.363    -.0307833    .0114211
            lagCatholic |  -.0118937   .0093353    -1.27   0.207    -.0305607    .0067733
          lagProtestant |  -.0090421   .0111835    -0.81   0.422    -.0314049    .0133206
           lagInflation |   .0564553   .0748507     0.75   0.454     -.093218    .2061286
          lagLandlocked |    .618708   .5490238     1.13   0.264     -.479133    1.716549
        lagPopulationln |   .0032796   .2040642     0.02   0.987    -.4047719    .4113312
               lagTrade |   .0058239   .0059616     0.98   0.332     -.006097    .0177448
    lagFinancialFreedom |   .0001623   .0143011     0.01   0.991    -.0284345     .028759
       lagFiscalFreedom |     .03642    .021103     1.73   0.089    -.0057781     .078618
           lagEducation |  -.0126441   .0204858    -0.62   0.539     -.053608    .0283198
             lagEducGap |   25.19475   15.74717     1.60   0.115    -6.293671    56.68316
             GII_Income |   4.998349   2.108217     2.37   0.021     .7827081    9.213991
         EducGap_Income |  -2.940885   1.832571    -1.60   0.114    -6.605337    .7235669
                  _cons |   19.24102   22.57219     0.85   0.397    -25.89486     64.3769
    -------------------------------------------------------------------------------------
    
    . estat ovtest
    
    Ramsey RESET test using powers of the fitted values of AvgGrowth
           Ho:  model has no omitted variables
                      F(3, 58) =      0.28
                      Prob > F =      0.8394

    however when I test the model that includes the whole 21 year period, I get a very low P-value, hence rejecting the null and implying my model has omitted variables.

    Code:
    . reg AvgGrowth lagGII lagIncomeln lagCivilLiberty lagEthnic lagLinguistic lagReligious lagMuslim lagCatholic 
    > lagProtestant lagInflation lagLandlocked lagPopulationln lagTrade lagFinancialFreedom lagFiscalFreedom lagEd
    > ucation lagEducGap GII_Income EducGap_Income i.Year, robust
    
    Linear regression                               Number of obs     =      1,544
                                                    F(38, 1505)       =      20.84
                                                    Prob > F          =     0.0000
                                                    R-squared         =     0.3044
                                                    Root MSE          =     2.0518
    
    -------------------------------------------------------------------------------------
                        |               Robust
              AvgGrowth |      Coef.   Std. Err.      t    P>|t|     [95% Conf. Interval]
    --------------------+----------------------------------------------------------------
                 lagGII |  -42.08487   4.341376    -9.69   0.000    -50.60066   -33.56908
            lagIncomeln |  -2.538325   .6338862    -4.00   0.000    -3.781719   -1.294931
        lagCivilLiberty |  -.1399923   .0649339    -2.16   0.031    -.2673629   -.0126218
              lagEthnic |  -.2943895   .3422877    -0.86   0.390     -.965801     .377022
          lagLinguistic |  -.3334241   .3096355    -1.08   0.282    -.9407871    .2739388
           lagReligious |  -.7723125   .2628651    -2.94   0.003    -1.287933   -.2566917
              lagMuslim |  -.0032381   .0026514    -1.22   0.222    -.0084389    .0019628
            lagCatholic |   -.008598   .0022728    -3.78   0.000    -.0130563   -.0041398
          lagProtestant |  -.0008512   .0028165    -0.30   0.763    -.0063759    .0046734
           lagInflation |  -.0051196   .0022192    -2.31   0.021    -.0094727   -.0007665
          lagLandlocked |   .5637036   .1505337     3.74   0.000     .2684255    .8589816
        lagPopulationln |   .3095838   .0470946     6.57   0.000     .2172058    .4019617
               lagTrade |   .0114543   .0017344     6.60   0.000     .0080521    .0148564
    lagFinancialFreedom |  -.0133614   .0040853    -3.27   0.001    -.0213749    -.005348
       lagFiscalFreedom |    .004272   .0051197     0.83   0.404    -.0057706    .0143145
           lagEducation |   .0114035   .0042116     2.71   0.007     .0031422    .0196648
             lagEducGap |   4.518104    4.82945     0.94   0.350    -4.955062    13.99127
             GII_Income |    3.98745   .4390719     9.08   0.000     3.126192    4.848708
         EducGap_Income |  -.5881582   .5614429    -1.05   0.295    -1.689452    .5131353
                        |
                   Year |
                  1997  |  -.1178138   .3623058    -0.33   0.745    -.8284917    .5928641
                  1998  |   .0913023   .3949375     0.23   0.817     -.683384    .8659885
                  1999  |  -.4652848   .3490904    -1.33   0.183     -1.15004    .2194704
                  2000  |  -.7425016   .3171268    -2.34   0.019    -1.364559   -.1204442
                  2001  |  -.6776028   .3271859    -2.07   0.039    -1.319391   -.0358142
                  2002  |    -.19607   .2945478    -0.67   0.506    -.7738377    .3816977
                  2003  |   .1985168   .2822417     0.70   0.482     -.355112    .7521456
                  2004  |   .7939147   .3101818     2.56   0.011     .1854803    1.402349
                  2005  |   .8820597   .3151816     2.80   0.005     .2638179    1.500302
                  2006  |   .5161398   .3186726     1.62   0.106    -.1089496    1.141229
                  2007  |  -1.552917   .3347261    -4.64   0.000    -2.209496   -.8963382
                  2008  |  -1.878248   .3355065    -5.60   0.000    -2.536358   -1.220138
                  2009  |  -1.771681   .3400277    -5.21   0.000    -2.438659   -1.104702
                  2010  |  -.4046335   .3357402    -1.21   0.228    -1.063202    .2539349
                  2011  |  -1.064553   .3721843    -2.86   0.004    -1.794608   -.3344979
                  2012  |  -1.235579   .3735256    -3.31   0.001    -1.968265   -.5028927
                  2013  |  -1.227063   .3800548    -3.23   0.001    -1.972556   -.4815694
                  2014  |  -1.205918   .3389585    -3.56   0.000    -1.870799   -.5410364
                  2015  |  -.7814795   .3455992    -2.26   0.024    -1.459387   -.1035722
                        |
                  _cons |   24.86397   5.923684     4.20   0.000     13.24442    36.48352
    -------------------------------------------------------------------------------------
    
    . estat ovtest
    
    Ramsey RESET test using powers of the fitted values of AvgGrowth
           Ho:  model has no omitted variables
                    F(3, 1502) =      5.61
                      Prob > F =      0.0008


    What can be done to remedy this, particularly as I'm exactly replicating a paper that only uses 2006 values and then comparing the results from other years and the 21 year period?

    Thanks everyone,

    Hellie

  • #2
    Hellie:
    it may depend on different issues, the quadratic relationship between the regressand and one or more predictors being one of them.
    Sometimes the issue disappeas after logging the regresand.
    Another (possibly more relevant) issue: I'm not clear whther or not you have panel data. If that were the case, with a continuous regressand, -xtreg- should be your first choice.
    Kind regards,
    Carlo
    (Stata 19.0)

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