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  • Growth rates and initial periods by five year (five year averages)

    Hi,

    I want to run a regression in which the dependent variable is average growth rate of value added per worker and the independent variable is the log of value added per worker at an initial point (dataex is below). The data is an unbalanced panel across countries contemplating country, industry (isic), and year. Initially, I calculated the average annual growth rates for my years following Nick Cox's application of conditional and later I've calculated the average annual growth rate)

    My question is how to do to these regressions by period (so I can include more countries rather than just some by doing the regressions with specific years). For instance,

    Growth of rate of value added per worker (from 1975-1980)= Initial Value added per worker (1975-1980)

    So far, what I've been doing is

    Code:
      bysort country isic: egen ln_1980= mean (cond(year==1980, ln(val_per_worker,.))
    Code:
      bysort country isic: egen ln_2019= mean (cond(year==2019, ln(val_per_worker,.))
    Code:
     gen av_ann_growth= (ln_2019-ln_1980)/abs(2019-1980)
    (average annual growth)


    Code:
     reg av_ann_growth ln_1980 i.country i.isic1 i.year, robust
    
    Linear regression                               Number of obs     =     29,888
                                                    F(114, 29773)     =    3670.92
                                                    Prob > F          =     0.0000
                                                    R-squared         =     0.5659
                                                    Root MSE          =     .01079
    
    ------------------------------------------------------------------------------
                 |               Robust
    av_ann_gro~h |      Coef.   Std. Err.      t    P>|t|     [95% Conf. Interval]
    -------------+----------------------------------------------------------------
         ln_1980 |  -.0145573    .000287   -50.72   0.000    -.0151198   -.0139948
                 |
         country |
             40  |   .0053123   .0002472    21.49   0.000     .0048277    .0057969
             56  |   .0030002   .0003452     8.69   0.000     .0023235    .0036768
            124  |   .0058293   .0002624    22.21   0.000     .0053149    .0063437
            144  |  -.0194746   .0009778   -19.92   0.000    -.0213911   -.0175581
            152  |  -.0146902   .0005757   -25.52   0.000    -.0158186   -.0135619
            170  |  -.0149132   .0003762   -39.64   0.000    -.0156506   -.0141758
            196  |  -.0143605   .0004269   -33.64   0.000    -.0151973   -.0135238
            208  |    .004522   .0003898    11.60   0.000      .003758     .005286
            218  |  -.0158834   .0003904   -40.69   0.000    -.0166485   -.0151182
            242  |  -.0234721   .0005679   -41.33   0.000    -.0245852   -.0223591
            246  |    .001825   .0003055     5.97   0.000     .0012262    .0024239
            250  |  -.0023131   .0002553    -9.06   0.000    -.0028135   -.0018128
            300  |  -.0164003   .0003919   -41.84   0.000    -.0171686   -.0156321
            344  |   -.005519   .0011802    -4.68   0.000    -.0078323   -.0032058
            348  |  -.0126267   .0004931   -25.61   0.000    -.0135932   -.0116602
            352  |  -.0011192   .0005864    -1.91   0.056    -.0022686    .0000303
            356  |  -.0223825   .0007734   -28.94   0.000    -.0238985   -.0208665
            360  |  -.0057511   .0007827    -7.35   0.000    -.0072852   -.0042169
            376  |  -.0043756   .0003132   -13.97   0.000    -.0049895   -.0037617
            380  |  -.0041305   .0003348   -12.34   0.000    -.0047867   -.0034742
            404  |  -.0172134   .0010836   -15.89   0.000    -.0193373   -.0150895
            410  |   .0222026   .0003879    57.24   0.000     .0214423    .0229629
            458  |  -.0139197   .0006056   -22.98   0.000    -.0151067   -.0127327
            470  |   -.006881   .0003948   -17.43   0.000    -.0076549   -.0061072
            480  |  -.0164284   .0008748   -18.78   0.000    -.0181432   -.0147137
            504  |  -.0279229   .0013635   -20.48   0.000    -.0305954   -.0252505
            528  |   .0031918   .0003032    10.53   0.000     .0025975    .0037862
            554  |  -.0026723    .000329    -8.12   0.000    -.0033172   -.0020274
            578  |   .0060698   .0002469    24.59   0.000     .0055859    .0065537
            608  |  -.0210231   .0005736   -36.65   0.000    -.0221473   -.0198988
            616  |  -.0085458   .0005771   -14.81   0.000     -.009677   -.0074146
            620  |  -.0049764   .0004961   -10.03   0.000    -.0059489    -.004004
            702  |   .0004065   .0007152     0.57   0.570    -.0009953    .0018083
            710  |  -.0237854   .0005235   -45.44   0.000    -.0248114   -.0227593
            724  |  -.0043472   .0002226   -19.53   0.000    -.0047836   -.0039109
            752  |   .0014386    .000297     4.84   0.000     .0008565    .0020207
            788  |  -.0255585   .0008276   -30.88   0.000    -.0271806   -.0239364
            792  |   -.021671   .0004094   -52.93   0.000    -.0224735   -.0208685
            826  |  -.0017844   .0003208    -5.56   0.000    -.0024132   -.0011557
            840  |   .0179586    .000364    49.33   0.000     .0172451    .0186721
                 |
           isic1 |
             16  |    .025331   .0007565    33.49   0.000     .0238483    .0268138
             17  |  -.0061132   .0002264   -27.00   0.000    -.0065569   -.0056695
             18  |  -.0116301   .0003828   -30.38   0.000    -.0123804   -.0108797
             20  |  -.0029236   .0003337    -8.76   0.000    -.0035776   -.0022696
             21  |   .0013253   .0002468     5.37   0.000     .0008415     .001809
             22  |  -.0046862   .0002594   -18.07   0.000    -.0051946   -.0041778
             23  |   .0315788   .0006417    49.21   0.000     .0303211    .0328365
             24  |   .0109738   .0003127    35.09   0.000     .0103608    .0115867
             25  |  -.0023501    .000214   -10.98   0.000    -.0027696   -.0019307
             26  |    .003186   .0002074    15.36   0.000     .0027795    .0035926
             27  |   .0055117   .0002954    18.66   0.000     .0049328    .0060906
             28  |  -.0032884    .000185   -17.77   0.000    -.0036511   -.0029257
             29  |   .0001126   .0002969     0.38   0.705    -.0004693    .0006944
             31  |     .00112    .000283     3.96   0.000     .0005653    .0016746
             33  |  -.0086865   .0004764   -18.23   0.000    -.0096203   -.0077527
             34  |   .0040468   .0003594    11.26   0.000     .0033424    .0047513
             36  |  -.0045853   .0002575   -17.81   0.000    -.0050899   -.0040806
                 |
            year |
           1964  |   .0000732   .0007287     0.10   0.920    -.0013551    .0015014
           1965  |  -.0000264    .000729    -0.04   0.971    -.0014552    .0014025
           1966  |   .0000873   .0007208     0.12   0.904    -.0013255       .0015
           1967  |  -6.45e-06   .0007294    -0.01   0.993    -.0014361    .0014232
           1968  |    .000017   .0007066     0.02   0.981    -.0013679     .001402
           1969  |  -.0000718   .0007184    -0.10   0.920    -.0014799    .0013363
           1970  |  -.0000416   .0007044    -0.06   0.953    -.0014223    .0013391
           1971  |  -.0001076   .0007116    -0.15   0.880    -.0015023    .0012871
           1972  |  -.0000416   .0007044    -0.06   0.953    -.0014223    .0013391
           1973  |   -.000079   .0007101    -0.11   0.911    -.0014708    .0013127
           1974  |   -.000079   .0007101    -0.11   0.911    -.0014708    .0013127
           1975  |   -.000079   .0007101    -0.11   0.911    -.0014708    .0013127
           1976  |  -.0000136   .0007276    -0.02   0.985    -.0014398    .0014125
           1977  |  -.0000136   .0007276    -0.02   0.985    -.0014398    .0014125
           1978  |   .0000252   .0007274     0.03   0.972    -.0014005    .0014508
           1979  |   .0000252   .0007274     0.03   0.972    -.0014005    .0014508
           1980  |   .0000252   .0007274     0.03   0.972    -.0014005    .0014508
           1981  |   .0000627    .000713     0.09   0.930    -.0013348    .0014602
           1982  |   .0001107   .0007083     0.16   0.876    -.0012776    .0014989
           1983  |   .0001543   .0007068     0.22   0.827     -.001231    .0015397
           1984  |   .0001543   .0007068     0.22   0.827     -.001231    .0015397
           1985  |  -.0000907   .0006901    -0.13   0.895    -.0014433     .001262
           1986  |  -.0000948   .0006895    -0.14   0.891    -.0014463    .0012567
           1987  |  -.0000948   .0006895    -0.14   0.891    -.0014463    .0012567
           1988  |  -.0001156   .0006878    -0.17   0.867    -.0014637    .0012326
           1989  |  -.0001189   .0006949    -0.17   0.864    -.0014809    .0012431
           1990  |  -.0000208    .000678    -0.03   0.975    -.0013497     .001308
           1991  |  -.0000585   .0006832    -0.09   0.932    -.0013977    .0012807
           1992  |  -.0000316   .0006836    -0.05   0.963    -.0013715    .0013083
           1993  |   .0000876   .0006821     0.13   0.898    -.0012494    .0014246
           1994  |   .0000723   .0006825     0.11   0.916    -.0012654      .00141
           1995  |  -9.96e-06   .0006828    -0.01   0.988    -.0013483    .0013284
           1996  |  -.0000905   .0006862    -0.13   0.895    -.0014355    .0012545
           1997  |   -.000104    .000687    -0.15   0.880    -.0014505    .0012425
           1998  |  -.0000916   .0006882    -0.13   0.894    -.0014406    .0012573
           1999  |  -.0001222   .0006815    -0.18   0.858    -.0014578    .0012135
           2000  |  -3.76e-06   .0006777    -0.01   0.996    -.0013321    .0013246
           2001  |  -3.76e-06   .0006777    -0.01   0.996    -.0013321    .0013246
           2002  |  -.0000629   .0006784    -0.09   0.926    -.0013926    .0012668
           2003  |  -.0001132   .0006769    -0.17   0.867    -.0014398    .0012135
           2004  |  -.0001642   .0006751    -0.24   0.808    -.0014874     .001159
           2005  |  -.0002042    .000674    -0.30   0.762    -.0015253    .0011169
           2006  |  -.0001419   .0006855    -0.21   0.836    -.0014856    .0012018
           2007  |  -.0001185   .0006844    -0.17   0.863    -.0014599     .001223
           2008  |  -9.76e-06   .0006807    -0.01   0.989     -.001344    .0013245
           2009  |   1.13e-06   .0006806     0.00   0.999    -.0013328    .0013351
           2010  |   .0000321   .0006786     0.05   0.962    -.0012979    .0013621
           2011  |   .0000275   .0006781     0.04   0.968    -.0013016    .0013566
           2012  |   .0000257   .0006785     0.04   0.970    -.0013042    .0013557
           2013  |  -.0000848   .0006801    -0.12   0.901    -.0014179    .0012483
           2014  |  -.0000848   .0006801    -0.12   0.901    -.0014179    .0012483
           2015  |  -.0000989   .0006794    -0.15   0.884    -.0014305    .0012327
           2016  |  -.0000846   .0006797    -0.12   0.901    -.0014168    .0012476
           2017  |  -.0000989   .0006794    -0.15   0.884    -.0014305    .0012327
           2018  |  -.0001544     .00068    -0.23   0.820    -.0014872    .0011784
           2019  |  -.0002536   .0006767    -0.37   0.708    -.0015799    .0010727
                 |
           _cons |   .1788519   .0029782    60.05   0.000     .1730145    .1846893
    ------------------------------------------------------------------------------




    How can I run these type of regressions on five year periods? (I tried creating a period=5*floor(year/5) and collapsed all variables by period but I am sure that's not the right approach given that variables don't smooth as necessary)

    Code:
     * Example generated by -dataex-. To install: ssc install dataex.  (dataex for year==1980)
    clear
    input int country long isic1 int year float(ln_1980 ln_2019 val_per_worker)
     4  1 1980         .         .         .
     4  2 1980         .         .         .
     4  3 1980         .         .         .
     4  7 1980         .         .         .
     4  8 1980         .         .         .
     4  9 1980         .         .         .
     4 10 1980         .         .         .
     4 11 1980         .         .         .
     4 12 1980         .         .         .
     4 13 1980         .         .         .
     4 14 1980         .         .         .
     4 19 1980         .         .         .
    12  1 1980  9.580441         . 14478.798
    12  2 1980  9.812777         . 18265.635
    12  3 1980  9.303091         .  10971.88
    12  6 1980   9.24304         . 10332.405
    12  7 1980  9.258244         . 10490.695
    12  8 1980  9.153545         .   9447.88
    12  9 1980  9.917997         .  20292.32
    12 10 1980  9.518955         .  13615.38
    12 11 1980  9.709127         . 16467.232
    12 12 1980  9.581053         .  14487.66
    12 13 1980  9.226204         . 10159.896
    12 14 1980  9.170505         .  9609.476
    12 19 1980  9.250774         . 10412.628
    12 22 1980   9.29205         . 10851.406
    32  1 1980         .         .         .
    32  2 1980         .         .         .
    32  3 1980         .         .         .
    32  6 1980         .         .         .
    32  7 1980         .         .         .
    32  8 1980         .         .         .
    32  9 1980         .         .         .
    32 10 1980         .         .         .
    32 11 1980         .         .         .
    32 12 1980         .         .         .
    32 13 1980         .         .         .
    32 14 1980         .         .         .
    32 19 1980         .         .         .
    32 22 1980         .         .         .
    36  1 1980  10.19185  11.27491  26684.79
    36  2 1980 10.812643         .  49644.52
    36  3 1980  9.952108 11.057722 20996.443
    36  6 1980  10.01615 11.200987 22385.094
    36  7 1980 10.261066  11.73419 28597.273
    36  8 1980 10.108777 11.145988 24557.604
    36  9 1980   10.9824 12.420651  58829.51
    36 10 1980 10.593992 11.827066  39894.42
    36 11 1980  10.12378 11.394923 24928.855
    36 12 1980  10.39719 11.676742 32767.406
    36 13 1980 10.493634 12.208467 36085.063
    36 14 1980 10.045395 11.150683  23049.39
    36 19 1980 10.276264         .  29035.21
    36 22 1980  9.887255 10.997367  19677.96
    40  1 1980  10.13358  11.35429  25174.35
    40  2 1980   13.0132         .  448291.7
    40  3 1980  9.703811 11.272364 16379.904
    40  6 1980   10.0043  11.47619 22121.377
    40  7 1980 10.242295   11.9454 28065.477
    40  8 1980  10.05137 11.366877  23187.52
    40  9 1980 10.233692  12.53686 27825.047
    40 10 1980 10.256224 12.002503  28459.11
    40 11 1980  9.957572  11.39565 21111.477
    40 12 1980 10.236194  11.52606  27894.76
    40 13 1980  9.995841 11.841247  21935.05
    40 14 1980  9.927979 11.441514 20495.885
    40 19 1980  9.544119         . 13962.332
    40 22 1980  9.876512  11.21545 19467.693
    50  1 1980  7.696788         . 2201.2664
    50  2 1980  9.770756         . 17514.006
    50  3 1980   7.11579         . 1231.2556
    50  6 1980  7.450129         . 1720.0842
    50  7 1980  7.857102         .  2584.022
    50  8 1980  7.191204         . 1327.7004
    50  9 1980  8.849745         .  6972.608
    50 10 1980  8.372579         . 4326.7773
    50 11 1980  7.205095         .  1346.272
    50 12 1980   8.07377         . 3209.1775
    50 13 1980  8.379707         . 4357.7314
    50 14 1980  6.955295         . 1048.6879
    50 19 1980  6.464489         .  641.9365
    50 22 1980  7.856623         .  2582.784
    52  1 1980  9.238615         . 10286.777
    52  2 1980   9.31109         .     11060
    52  3 1980  8.346621         .  4215.909
    52  6 1980         .         .         .
    52  7 1980  9.006888         .  8159.091
    52  8 1980 9.0155525         .  8230.089
    52  9 1980         .         .         .
    52 12 1980  8.921475         .  7491.131
    52 13 1980         .         .         .
    52 14 1980  8.949831         .  7706.587
    52 19 1980         .         .         .
    52 22 1980  8.678367         .  5874.443
    56  1 1980 10.797876 11.627295  48916.82
    56  2 1980 10.286183  11.64817  29324.65
    56  3 1980  9.986129  11.22177  21723.05
    56  6 1980  9.690048 11.650793 16156.028
    56  7 1980 10.365226 11.622216 31736.594
    56  8 1980 10.215666  11.46358 27327.975
    end
    label values isic1 isic1
    label def isic1 1 "15", modify
    label def isic1 2 "16", modify
    label def isic1 3 "17", modify
    label def isic1 6 "20", modify
    label def isic1 7 "21", modify
    label def isic1 8 "22", modify
    label def isic1 9 "23", modify
    label def isic1 10 "24", modify
    label def isic1 11 "25", modify
    label def isic1 12 "26", modify
    label def isic1 13 "27", modify
    label def isic1 14 "28", modify
    label def isic1 19 "33", modify
    label def isic1 22 "36", modify

    Code:
     * Example generated by -dataex-. To install: ssc install dataex
    clear
    input int country long isic1 int year float(ln_1980 ln_2019 val_per_worker). (dataex for 2019)
     4  1 2019        .         . .
     4  2 2019        .         . .
     4  3 2019        .         . .
     4  4 2019        .         . .
     4  5 2019        .         . .
     4  6 2019        .         . .
     4  7 2019        .         . .
     4  8 2019        .         . .
     4  9 2019        .         . .
     4 10 2019        .         . .
     4 11 2019        .         . .
     4 12 2019        .         . .
     4 13 2019        .         . .
     4 14 2019        .         . .
     4 15 2019        .         . .
     4 17 2019        .         . .
     4 21 2019        .         . .
     4 22 2019        .         . .
     8  1 2019        .  9.021728 .
     8  2 2019        .         . .
     8  3 2019        .  8.702798 .
     8  4 2019        .  8.546796 .
     8  5 2019        .  8.603961 .
     8  6 2019        .  9.185748 .
     8  7 2019        .  8.799856 .
     8  8 2019        .   9.77126 .
     8  9 2019        .  10.12641 .
     8 10 2019        .  9.728291 .
     8 11 2019        .  9.065746 .
     8 12 2019        .  9.733746 .
     8 13 2019        .  11.00635 .
     8 14 2019        .  9.366294 .
     8 15 2019        .  9.453305 .
     8 16 2019        .  8.756976 .
     8 17 2019        .         . .
     8 18 2019        .         . .
     8 19 2019        .         . .
     8 20 2019        .         . .
     8 21 2019        .         . .
     8 22 2019        .  8.784404 .
    12  1 2019 9.580441         . .
    12  2 2019 9.812777         . .
    12  3 2019 9.303091         . .
    12  4 2019 9.029025         . .
    12  5 2019        .         . .
    12  6 2019  9.24304         . .
    12  7 2019 9.258244         . .
    12  8 2019 9.153545         . .
    12  9 2019 9.917997         . .
    12 10 2019 9.518955         . .
    12 11 2019 9.709127         . .
    12 12 2019 9.581053         . .
    12 13 2019 9.226204         . .
    12 14 2019 9.170505         . .
    12 15 2019 9.198872         . .
    12 16 2019        .         . .
    12 17 2019 9.332821         . .
    12 18 2019        .         . .
    12 19 2019 9.250774         . .
    12 20 2019 9.249175         . .
    12 21 2019        .         . .
    12 22 2019  9.29205         . .
    24  1 2019        .         . .
    24  2 2019        .         . .
    24  3 2019        .         . .
    24  4 2019        .         . .
    24  5 2019        .         . .
    24  6 2019        .         . .
    24  9 2019        .         . .
    24 10 2019        .         . .
    24 11 2019        .         . .
    24 12 2019        .         . .
    24 13 2019        .         . .
    24 14 2019        .         . .
    24 15 2019        .         . .
    24 16 2019        .         . .
    24 17 2019        .         . .
    24 18 2019        .         . .
    24 19 2019        .         . .
    24 20 2019        .         . .
    24 21 2019        .         . .
    24 22 2019        .         . .
    31  1 2019        .  9.747452 .
    31  2 2019        .  9.728014 .
    31  3 2019        .  9.179392 .
    31  4 2019        .   8.43468 .
    31  5 2019        .  8.435524 .
    31  6 2019        .  9.234807 .
    31  7 2019        .  8.900663 .
    31  8 2019        .  9.747595 .
    31  9 2019        .  12.20364 .
    31 10 2019        .  9.638375 .
    31 11 2019        . 8.9854965 .
    31 12 2019        .  9.674052 .
    31 13 2019        .  10.30322 .
    31 14 2019        .  9.728508 .
    31 15 2019        .  9.339003 .
    31 16 2019        .  9.584867 .
    31 17 2019        .  8.782279 .
    31 18 2019        .         . .
    end
    label values isic1 isic1
    label def isic1 1 "15", modify
    label def isic1 2 "16", modify
    label def isic1 3 "17", modify
    label def isic1 4 "18", modify
    label def isic1 5 "19", modify
    label def isic1 6 "20", modify
    label def isic1 7 "21", modify
    label def isic1 8 "22", modify
    label def isic1 9 "23", modify
    label def isic1 10 "24", modify
    label def isic1 11 "25", modify
    label def isic1 12 "26", modify
    label def isic1 13 "27", modify
    label def isic1 14 "28", modify
    label def isic1 15 "29", modify
    label def isic1 16 "30", modify
    label def isic1 17 "31", modify
    label def isic1 18 "32", modify
    label def isic1 19 "33", modify
    label def isic1 20 "34", modify
    label def isic1 21 "35", modify
    label def isic1 22 "36", modify
    Thank you!
    Last edited by Hugo Rocha; 30 May 2022, 09:43.
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