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  • Multiple Imputation on Panel Data - Error regarding variance-covariance matrix (EM did not converge)

    Dear All,

    I am tackling my thesis and i have panel data on around 150 companies between the years 2000-2019. I have 13 variables and i am trying to tackle the problem of missing data using multiple imputation. I have registered my variables that i wish to impute and ones i wish to leave but encounter the following error message when i try to complete the imputation:

    "Performing EM optimization:
    Iteration 1: variance-covariance matrix (Sigma) is not positive definite
    EM did not converge"

    I used the following code: "mi impute mvn Age Inst DivYield ROA Cash TAssets CtA NDebt MarketCap Leverage NBV Growth = Firm Year, add(100)"

    For some variables there is around 500 missing obs compared to the total of around 2500 potential obs. I note others have this error but as i am new to Stata i am struggling to relate the solutions provided to others to my own data set. Please set my data set attached using the dataex command. Can anyone help me understand what is going wrong and help me correct this issue?

    Code:
    * Example generated by -dataex-. To install: ssc install dataex
    clear
    input int(Firm Year Age) double(Inst DivYield ROA) long Cash double(TAssets CtA)
    1 2003  76  .543               3.64                 .32  645212  7.398693966558007   .02576371400110025
    1 2004  77  .543               4.74                4.65  646284  7.386195441944959   .02655999337196073
    1 2005  78  .543               4.47  5.8500000000000005  590801  7.420299761682957  .022446129285914534
    1 2006  79  .543                5.3                6.65  735465 7.4413514122496816   .02662015609093994
    1 2007  80  .543               5.07                5.57 1098520  7.524931447865907   .03280020215425178
    1 2008  81  .543               4.66                3.36 1033880  7.535276621294499   .03014348858021043
    1 2009  82  .543                  0 -3.2800000000000002 1309453  7.490173015687446  .042356191122134214
    1 2010  83  .543               2.11                 4.2 1794668  7.512469303169086  .055146101518694236
    1 2011  84  .543               3.98   6.140000000000001 2304534  7.568121630431918   .06229619045695913
    1 2012  85  .543               3.38                3.85 2634015  7.579674997990709   .06933351941494635
    1 2013  86  .543 3.5500000000000003                1.79 2653632  7.568599836529462   .07165406925589027
    1 2014  87  .543               3.54                 .85 2768585  7.598319988719563   .06981325269790876
    1 2015  88  .543               3.79                4.62 1994186  7.590368956292757  .051214944534303364
    1 2016  89  .543 3.0500000000000003                3.87 2267507  7.593602787055257   .05780239711855111
    1 2017  90  .543 2.7800000000000002                5.71 2761559  7.607251736550178   .06821856658005906
    1 2018  91  .543  8.620000000000001                6.04 3763101 7.6505191779634485    .0841446865163492
    2 2003  15 .3445                  0               -1.43 3743982  7.379141542898563    .1563839610602065
    2 2004  16 .3445                  0                 .77 2744211  7.256336669390483   .15208305623536922
    2 2005  17 .3445  .9400000000000001                4.43 2752276  7.266445333018674   .14902071748770634
    2 2006  18 .3445                1.1                6.83 3266171  7.275695851696254    .1731183350810338
    2 2007  19 .3445               1.47               14.63 3223593 7.3268356878730625    .1518813735861623
    2 2008  20 .3445               3.08               10.48 1209174  7.353685122468066  .053555450615559885
    2 2009  21 .3445               2.56                 9.4  945215  7.368002352078595   .04050682959078938
    2 2010  22 .3445               2.88                 9.3 1266729  7.388529083532778   .05177911576604256
    2 2011  23 .3445               3.68   8.700000000000001 1255097   7.47773888875591   .04177711087503967
    2 2012  24 .3445               3.63                6.75 2117883  7.571809837191546   .05676650117522262
    2 2013  25 .3445               2.98                6.84 4313763    7.5386571163742   .12479556876752484
    2 2014  26 .3445                2.6                5.64 4430697  7.564529435255822   .12076542550605018
    2 2015  27 .3445               4.12                5.32 4206444  7.577595615978982   .11125498911807778
    2 2016  28 .3445               3.54                5.04 3484528  7.571318233623218    .0935030387102958
    2 2017  29 .3445               2.99                5.96 3788666  7.546145089765905   .10773113386621298
    2 2018  30 .3445               4.28                5.59 2982717  7.575262604135909   .07931392555744327
    3 2003   2     .                  .                   .       .                  .                    .
    3 2004   3     .                  .                   .     187  4.040958173384207   .01701701701701702
    3 2005   4     .                  .              -72.99     248  4.183582992351017  .016250573356922874
    3 2006   5     .                  .              -57.61     199  4.486742095533987 .0064880020865936356
    3 2007   6     .                  0              -15.17    4989  5.128192412566287  .037138220581229155
    3 2008   7     .                  0              -11.67    3133  5.102169480967359   .02476229618330264
    3 2009   8     .                  0               -17.5   63309  5.008267937169863    .6211514687702361
    3 2010   9     .                  0              -20.97   14588   5.11855900723843   .11102908158217202
    3 2011  10     .                  0 -38.160000000000004    3072  4.993564075028783  .031178637761471242
    3 2012  11     .                  0              -32.77    4297  4.875032309461098    .0572971531435429
    3 2013  12     .                  0              -13.47   10531  5.329519912185871   .04931166885184492
    3 2014  13     .                  0               -5.79   11661  5.348978178910014   .05221047164489178
    3 2015  14     .                  0              -20.66    3602  5.423691411734157  .013578515636780362
    3 2016  15     .                  0  2.2600000000000002   53356  5.426127220835772    .2000119956215981
    3 2017  16     .                  0               -30.8   14951  5.590895310542863   .03835084443167593
    3 2018  17     .                  .                   .       .                  .                    .
    4 2003   . .9352                  .                   .       .                  .                    .
    4 2004   . .9352                  .                   .       .                  .                    .
    4 2005   . .9352                  .                   .       .                  .                    .
    4 2006   . .9352                  .                   .       .                  .                    .
    4 2007   . .9352                  .                   .       .                  .                    .
    4 2008   . .9352                  .                   .       .                  .                    .
    4 2009   . .9352                  .                   .       .                  .                    .
    4 2010   . .9352                  .                   .       .                  .                    .
    4 2011   . .9352                  .                   .       .  6.888868705270129                    0
    4 2012   . .9352                  .                2.67       .  6.920286364909844                    0
    4 2013   . .9352                  .                1.87       .  6.927320308485605                    0
    4 2014   . .9352                  .                2.87   36252  6.943627603308249  .004127664288769809
    4 2015   . .9352                  .                4.67   41236 6.9783788496906665  .004334087562947062
    4 2016   0 .9352                  0              -13.47 2013658  7.067896569834173   .17222220369136404
    4 2017   1 .9352 1.4000000000000001                7.83  604664  7.015265340593753  .058377940841966805
    4 2018   2 .9352               5.48              -13.98  602942  6.961852563632563   .06582986637871974
    5 2003  19     .                  0              -11.36    1426  4.477772208349258   .04746214012314861
    5 2004  20     .                  0                5.15    7484  4.754325397016405   .13176752293254926
    5 2005  21     .               3.17   7.640000000000001    9414  4.949487589946504   .10575151651314312
    5 2006  22     .                2.5                9.33   24768  5.064794811195383    .2133517098802653
    5 2007  23     .               1.42                4.71   48527  5.697973458905673   .09727695878954563
    5 2008  24     .               3.48 -5.3500000000000005   45413 5.7485446224632435   .08102808407379652
    5 2009  25     .               1.87               -3.18   55852  5.748911764781968    .0995696463398546
    5 2010  26     .                  0               -9.15    8598  5.742686647810173  .015549298219914603
    5 2011  27     .                  0                 5.2   59114  5.619012936947996   .14212726874926368
    5 2012  28     .                  0               -4.09       .  5.489784164460412                    0
    5 2013  29     .               6.25               -1.25       . 5.4238649167400705                    0
    5 2014  30     .               6.29                1.48       .  5.456552769974431                    0
    5 2015  31     .               2.49                3.85       .  5.421166121680211                    0
    5 2016  32     .               3.87                 .08    9609  5.407902237928535  .037564356667878544
    5 2017  33     .                  0                 3.1   10500  5.408748606184244  .040967616074912214
    5 2018  34     .                  0               -6.61   12008 5.4059931359329125   .04714954904016429
    6 2003 126     .                  .                   .       .                  .                    .
    6 2004 127     .                  .                   .       .                  .                    .
    6 2005 128     .                  .                   .       .                  .                    .
    6 2006 129     .                  .                   .       .                  .                    .
    6 2007 130     .                  .                   .       .                  .                    .
    6 2008 131     .                  .                   .       .                  .                    .
    6 2009 132     .                  .                   .       .                  .                    .
    6 2010 133     .                  .                   .       .                  .                    .
    6 2011 134     .                  .                   .       .                  .                    .
    6 2012 135     .                  .                   .       .                  .                    .
    6 2013 136     .                  .                   .  133156  6.401492043192994   .05282855080933343
    6 2014 137     .                  .                2.06  172148  6.395123616723902   .06930720175212574
    6 2015 138     .                  .                2.04  243946  6.401841160554287   .09670580418765395
    6 2016 139     .                .67                5.15  123322  6.382824871428864   .05107586000670122
    6 2017 140     .               3.13                6.51  130825  6.400025340329397   .05207933176037098
    6 2018 141     . 3.5300000000000002                6.78  121027  6.401241787476709    .0480441462931492
    7 2003   9 .4174               3.92                6.37  243000 7.0478198278165936  .021766391974202794
    7 2004  10 .4174 3.8200000000000003                8.42  282000  7.068185861746161  .024102564102564103
    7 2005  11 .4174               3.83   9.450000000000001  342000  7.061829307294699   .02966175195143105
    7 2006  12 .4174                2.6               11.42  444000  7.073058160988836  .037525354969574036
    end
    Any assistance would be greatly appreciated and i welcome any feedback or response.

    Kindest Regards.
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