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  • How to Interpret a Variable Constructed like (e.g.,1 per 1,000 people)

    Hello,

    Any idea how to interpret this variable RER (i.e. number of researchers per 1,000 people employed) in relation to R&D expenditure (expressed as % of GDP)
    As per literature, having highly educated people is believed to have beneficial effect on R&D expenditure.

    I wanted to transform RER into percentage rather keeping it as whole number (to easily interpret it) but I don't have the total number of people employed. This was not given by OECD database source.

    This is my attempt to interpret it, please let me know if it's correct.

    An addition of 1 researcher (i.e., RER) in a country, is met by an increase of 0.0001451285 (0.1451285 times 1,000 employed) percentage point (pp.) in a one-year lagged R&D

    Code:
    Fixed-effects (within) regression               Number of obs     =      1,007
    Group variable: countryid                       Number of groups  =         41
    
    R-squared:                                      Obs per group:
         Within  = 0.6006                                         min =          2
         Between = 0.8282                                         avg =       24.6
         Overall = 0.7711                                         max =         36
    
                                                    F(37, 40)         =      68.90
    corr(u_i, Xb) = 0.4748                          Prob > F          =     0.0000
    
                                 (Std. err. adjusted for 41 clusters in countryid)
    ------------------------------------------------------------------------------
                 |               Robust
          RND_L1 | Coefficient  std. err.      t    P>|t|     [95% conf. interval]
    -------------+----------------------------------------------------------------
              PT |    .000016   6.43e-06     2.48   0.017     2.96e-06     .000029
             RER |   .1451285   .0225073     6.45   0.000     .0996396    .1906174
                 |
            year |
           1986  |  -1.240908   .6413845    -1.93   0.060    -2.537195    .0553785
           1987  |   -1.22445   .6433891    -1.90   0.064    -2.524788    .0758877
           1988  |   -1.27232   .6415019    -1.98   0.054    -2.568843     .024204
           1989  |  -1.298551    .643198    -2.02   0.050    -2.598503    .0014004
           1990  |   -1.28524   .6408538    -2.01   0.052    -2.580454    .0099741
           1991  |  -1.262964   .6408489    -1.97   0.056    -2.558168    .0322396
           1992  |  -1.314941   .6465767    -2.03   0.049    -2.621722   -.0081611
           1993  |   -1.36549   .6492434    -2.10   0.042    -2.677659   -.0533196
           1994  |  -1.333842   .6567046    -2.03   0.049    -2.661092   -.0065925
           1995  |  -1.443588   .6543044    -2.21   0.033    -2.765986   -.1211891
           1996  |  -1.478862   .6553497    -2.26   0.030    -2.803373   -.1543504
           1997  |  -1.478968    .652973    -2.26   0.029    -2.798676   -.1592606
           1998  |  -1.511229   .6517109    -2.32   0.026    -2.828386   -.1940723
           1999  |  -1.515496   .6541553    -2.32   0.026    -2.837593   -.1933986
           2000  |   -1.54087    .655177    -2.35   0.024    -2.865032   -.2167075
           2001  |  -1.519098   .6561638    -2.32   0.026    -2.845255   -.1929415
           2002  |  -1.489616   .6564095    -2.27   0.029    -2.816269   -.1629625
           2003  |  -1.485831   .6565628    -2.26   0.029    -2.812794   -.1588682
           2004  |  -1.511731   .6600905    -2.29   0.027    -2.845823   -.1776383
           2005  |  -1.546316   .6612633    -2.34   0.024    -2.882779   -.2098531
           2006  |  -1.527389   .6628624    -2.30   0.026    -2.867084    -.187694
           2007  |  -1.476641   .6634117    -2.23   0.032    -2.817446   -.1358355
           2008  |  -1.504534   .6627888    -2.27   0.029    -2.844081   -.1649882
           2009  |  -1.474459    .667391    -2.21   0.033    -2.823307   -.1256118
           2010  |   -1.43961   .6698877    -2.15   0.038    -2.793504   -.0857169
           2011  |  -1.475702   .6679814    -2.21   0.033    -2.825743   -.1256611
           2012  |  -1.440366   .6681374    -2.16   0.037    -2.790722   -.0900096
           2013  |  -1.448928   .6674887    -2.17   0.036    -2.797973   -.0998829
           2014  |  -1.452239   .6669947    -2.18   0.035    -2.800285   -.1041919
           2015  |  -1.440664   .6661976    -2.16   0.037      -2.7871   -.0942285
           2016  |  -1.432821   .6674393    -2.15   0.038    -2.781767   -.0838764
           2017  |  -1.497495   .6688477    -2.24   0.031    -2.849286   -.1457029
           2018  |  -1.503185   .6722164    -2.24   0.031    -2.861785   -.1445852
           2019  |  -1.501804   .6740847    -2.23   0.032     -2.86418   -.1394283
           2020  |  -1.512565   .6752263    -2.24   0.031    -2.877248   -.1478815
                 |
           _cons |   1.992216   .6276246     3.17   0.003     .7237395    3.260693
    -------------+----------------------------------------------------------------
         sigma_u |  .41925763
         sigma_e |  .23394991
             rho |  .76255835   (fraction of variance due to u_i)
    ------------------------------------------------------------------------------

    Code:
     sum RER
    
        Variable |        Obs        Mean    Std. dev.       Min        Max
    -------------+---------------------------------------------------------
             RER |      1,133    6.317485    3.470873   .5159566   17.21029
Working...
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