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  • non-normal distribution fixed effect panel analysis

    Hi,
    I wrote about this model but changed the independent variables. I'm doing panel analysis. My model has 264 observations, 22 T and 12 N, 5 independent variables and is balanced. The real effective exchange rate is 2015=100 for each country and Brent crude oil has the same value for each country. As a result of the Mundlak test, I obtained a fixed effect model. However, residuals terms are not normally distributed. Taking logarithms didn't work, what can I do?
    Code:
    * Example generated by -dataex-. For more info, type help dataex
    clear
    input double ca float(yek ea) double gdp float(redk brent) int yıl byte ulke
      -9.920e+09  10102.16  52180.72 2.74303e+11  92.15719  28.49545 2000 1
       3.760e+09  9377.525  48662.52 2.01751e+11   73.2093  24.44389 2001 1
      -6.260e+08 10042.553  54323.45 2.40253e+11  82.82148 25.023256 2002 1
      -7.554e+09 10020.818  60991.14 3.14592e+11  90.47211 28.830704 2003 1
     -1.4198e+10 10782.894  63548.47 4.08876e+11   94.2322    38.265 2004 1
      -2.098e+10  10130.52 67511.414 5.06308e+11 104.15483  54.52109 2005 1
     -3.1161e+10   10359.1 75852.016 5.57058e+11 102.41817 65.144066 2006 1
     -3.6946e+10  9603.859  82220.11 6.81337e+11 110.88652  72.38908 2007 1
     -3.9425e+10  9311.924  79538.48 7.70462e+11 112.61688  97.25597 2008 1
      -1.136e+10    9916.2 75934.516 6.49273e+11 106.31525  61.67126 2009 1
      -4.462e+10  11626.51  81884.13 7.76993e+11   117.598  79.49554 2010 1
     -7.4402e+10 11222.918   88848.6 8.38763e+11 103.39072  111.2556 2011 1
      -4.796e+10 12151.463  98198.56 8.80556e+11 107.75486  111.6697 2012 1
     -5.5856e+10 13064.223  95896.04 9.57783e+11 106.28954 108.65852 2013 1
     -3.8851e+10 12055.826 102161.27 9.38953e+11 101.05545  98.94601 2014 1
     -2.7314e+10 15657.665 112443.14 8.64317e+11       100  52.38676 2015 1
     -2.7038e+10 17135.936 113526.32 8.69693e+11  98.56945  43.73417 2016 1
     -4.0877e+10 17738.857 124651.52 8.58996e+11   88.1853  54.19244 2017 1
      -2.174e+10 19114.537    116027 7.78472e+11  73.81125  71.31006 2018 1
       5.303e+09  23339.12 115339.98 7.59937e+11  74.51665  64.21057 2019 1
     -3.5537e+10 24076.254  113650.4 7.20289e+11  66.94376  41.83834 2020 1
     -1.3693e+10  24131.15 123713.63 8.19035e+11  59.20414 70.911896 2021 1
     -3106733996 10112.826 174380.86 1.14668e+12   96.5514  28.49545 2000 2
      1814148808  10341.08 169891.23 1.16802e+12  97.08913  24.44389 2001 2
     -6277210864 10889.378 174386.14 1.27677e+12  99.29518 25.023256 2002 2
    -12128604342  12909.27 179640.16 1.57762e+12  105.9516 28.830704 2003 2
     -8978989363 12963.412 185162.05 1.80654e+12 107.68027    38.265 2004 2
    -16714795195 14106.718 190042.36 1.85822e+12 105.95556  54.52109 2005 2
    -28321585639 15326.492 192150.14 1.94955e+12 105.47578 65.144066 2006 2
    -30129935945 16945.996  189869.3  2.2131e+12 106.39691  72.38908 2007 2
    -66400853363  19707.18  185678.9 2.40866e+12 107.93314  97.25597 2008 2
    -40410770649 21026.557 168942.83 2.19993e+12 109.31352  61.67126 2009 2
    -70819281580   21864.3 179160.13  2.1361e+12  104.3373  79.49554 2010 2
    -64808125979 21025.854 169399.27 2.29499e+12 104.48255  111.2556 2011 2
     -5129312523  23884.74 162996.77 2.08696e+12 102.51107  111.6697 2012 2
     24764660544 26370.627 148694.81 2.14192e+12  104.4103 108.65852 2013 2
     40309629204  26512.29 137066.42 2.16201e+12  104.6746  98.94601 2014 2
     26369229238 26268.705 150660.64 1.83664e+12       100  52.38676 2015 2
     49686018258  26017.92 152596.11 1.87707e+12  100.8403  43.73417 2016 2
     53102122703 28821.096 157930.13  1.9618e+12  101.4173  54.19244 2017 2
     53985858785  29281.72 152939.47 2.09193e+12 103.37186  71.31006 2018 2
     66320786088  29512.13 151902.86  2.0113e+12 101.07948  64.21057 2019 2
     74508740778 29344.686 131128.05 1.89676e+12 101.92516  41.83834 2020 2
     64719172848 29881.715 144188.78  2.1077e+12 101.52102 70.911896 2021 2
    -25928189733  6812.527  108573.6 5.98363e+11  91.99219  28.49545 2000 3
    -27555477892  8153.412  107622.4  6.2783e+11  93.11381  24.44389 2001 3
    -26251685129  6892.058 115518.85 7.08757e+11  95.76795 25.023256 2002 3
    -35103881712  9192.567  117504.9 9.07492e+11  101.1051 28.830704 2003 3
    -58677027283  8809.626  125313.2 1.06906e+12 103.08232    38.265 2004 3
    -83915470590   8392.96 134095.08 1.15372e+12  103.1746  54.52109 2005 3
    -1.11532e+11   9156.91 136088.33  1.2604e+12 104.21236 65.144066 2006 3
    -1.39288e+11 10000.718 137014.53   1.474e+12  105.8644  72.38908 2007 3
    -1.45716e+11  10545.27 136159.28 1.63186e+12  108.5638  97.25597 2008 3
    -60418930687  12564.99 125068.56 1.49147e+12  109.0497  61.67126 2009 3
    -52249545356 15044.345 121963.48 1.42211e+12  105.5756  79.49554 2010 3
    -39975229878 14814.235 122168.66 1.48071e+12 105.85408  111.2556 2011 3
       735150583 16123.296 125514.66 1.32475e+12 103.28827  111.6697 2012 3
     27588004255 17716.016 119476.05 1.35558e+12 105.24082 108.65852 2013 3
     22662337679 18064.318 123634.18 1.37182e+12 104.75703  98.94601 2014 3
     24107676878 17007.857 125163.13 1.19616e+12       100  52.38676 2015 3
     39298651172 17484.887  124939.5 1.23355e+12  100.6997  43.73417 2016 3
     36857922351 16590.508 134184.28 1.31325e+12 102.09117  54.19244 2017 3
     26481556490 18163.223  132737.8  1.4217e+12  104.1833  71.31006 2018 3
     29247197810  18365.55 129967.52 1.39432e+12 102.42796  64.21057 2019 3
      8044556209 19089.533  109174.4 1.27696e+12  103.0662  41.83834 2020 3
     13445134647 20509.385 116888.34 1.42738e+12 103.67112 70.911896 2021 3
     -1.0343e+10  3801.557 29720.664 1.72219e+11  98.20818  28.49545 2000 4
      -5.946e+09  4070.756  30722.92 1.90905e+11 109.85765  24.44389 2001 4
      -5.544e+09  4142.185 31468.115 1.99072e+11 105.00015 25.023256 2002 4
      -5.473e+09  4148.118 32023.705 2.17827e+11  93.58376 28.830704 2003 4
     -1.4625e+10   4320.78 33843.734  2.5511e+11  92.51904    38.265 2004 4
      -8.845e+09  4486.514 36110.746 3.06144e+11 102.85096  54.52109 2005 4
     -1.4903e+10  4694.944  39956.82 3.44622e+11 104.34894 65.144066 2006 4
     -2.8734e+10  4823.745  42071.47 4.29029e+11  107.6175  72.38908 2007 4
     -3.7306e+10  5559.413   44638.4 5.33609e+11 117.11584  97.25597 2008 4
     -1.8562e+10  6279.418  43035.82 4.39738e+11 100.09376  61.67126 2009 4
      -2.666e+10  7314.159  47382.39 4.75697e+11 106.21946  79.49554 2010 4
     -2.8346e+10   7992.56  49918.33 5.24383e+11 103.72767  111.2556 2011 4
     -2.0193e+10  8677.736  47358.43 4.95237e+11 101.46102  111.6697 2012 4
      -9.465e+09  8655.089  45938.36 5.15765e+11 101.67303 108.65852 2013 4
     -1.4212e+10  8717.706  47483.13 5.39088e+11 102.70433  98.94601 2014 4
      -4.347e+09  9103.113     49708 4.77111e+11       100  52.38676 2015 4
      -3.719e+09  8909.692  51873.47 4.70023e+11  96.50712  43.73417 2016 4
      -2.068e+09  9047.198  57881.85 5.24646e+11   99.1437  54.19244 2017 4
      -7.537e+09 12285.053  64155.28 5.88783e+11 100.09654  71.31006 2018 4
       2.832e+09 12701.968  63327.05 5.96055e+11  99.14514  64.21057 2019 4
      1.7319e+10 12950.824  58492.03 5.99449e+11 100.20245  41.83834 2020 4
      -4.568e+09  13081.85  59591.23 6.79445e+11  99.67339 70.911896 2021 4
     -2689755314  1616.016 17855.107 61828166496  75.48755  28.49545 2000 5
     -3272573494  1743.214  19078.29 67808032980  80.01455  24.44389 2001 5
     -4264835726  1960.317 19453.904 82196001051  88.57081 25.023256 2002 5
     -5785485093  1840.025 19807.785  1.0009e+11  86.65413 28.830704 2003 5
     -4457211225  2024.549 19729.414 1.19814e+11  87.14063    38.265 2004 5
     -2809704226  2100.607  21000.09 1.37143e+11  91.49528  54.52109 2005 5
     -3996084353  2231.405 21846.703 1.56264e+11  95.48225 65.144066 2006 5
     -8945618936  2344.385 20695.703 1.90184e+11  97.96303  72.38908 2007 5
     -4407952631  2549.033 21175.436 2.36816e+11 112.66393  97.25597 2008 5
     -4869768333  2881.324  20254.52 2.07434e+11 108.41588  61.67126 2009 5
     -7351204484  3177.609  20638.34  2.0907e+11  109.8289  79.49554 2010 5
     -5020059122  3498.223 21373.145 2.29563e+11 112.07775  111.2556 2011 5
    end

  • #2
    Elif_
    go cluster-robust standard errors and forget about residual normality.
    Kind regards,
    Carlo
    (Stata 19.0)

    Comment


    • #3
      Mr. Lazzaro, thank you sm for your answer

      Comment


      • #4
        Elif:
        Carlo is enough! Thanks.
        Kind regards,
        Carlo
        (Stata 19.0)

        Comment

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