[R-sig-ME] warnings in lmer estimation after mice

Raquel Guimaraes raquelrguima at gmail.com
Sat Jun 30 19:59:25 CEST 2012


Thanks Robert. This is really a great advice. I was worried about the
reduced sample, but I will go ahead and try to explain what's going on.

Best,

Raquel

-----Original Message-----
From: r-sig-mixed-models-bounces at r-project.org
[mailto:r-sig-mixed-models-bounces at r-project.org] On Behalf Of W Robert Long
Sent: Saturday, June 30, 2012 6:49 AM
To: r-sig-mixed-models at r-project.org
Subject: Re: [R-sig-ME] warnings in lmer estimation after mice

Two things spring to mind:
1. I don't think your imputation respects the data hierarchy -  see p21
here:
http://www.jstatsoft.org/v45/i03/paper

2. You have 58% missingness in "gain" and 81% missingness in "index", which
makes me wonder if you should be doing multiple imputation at all.

On 29/06/2012 10:20 PM, Raquel Guimaraes wrote:
> Hi all,
>
> I need help to understand convergence problems with my estimation.
>
> I am using lmer to estimate a mixed-effects model of an index of 
> teacher quality on student achievement gains.
>
> The dataset for female students is available in the link above and 
> contains original and imputed data (m=5 and m=50)
>
> <https://www.dropbox.com/sh/fqpjtkkuz9y9mzr/MhrMXwlrFp>
>
> I want to understand the error messages above and their implications 
> for my parameter estimates.
>
> 1: In mer_finalize(ans) : false convergence (8)
> 2: In mer_finalize(ans) : singular convergence (7)
> 3: In mer_finalize(ans) : singular convergence (7)
> 4: In mer_finalize(ans) : false convergence (8)
> 5: In mer_finalize(ans) : false convergence (8)
>
> Below you may find the script for my procedures.
>
> Any help will be appreciated!
>
> Thanks,
>
> Raquel
>
> -----------------------------------------------------------------
>
> #Multiple imputation
>
> library("mice")
> md.pattern(data.f)
> md.pairs(data.f)
> # 5 imputations - Predictive mean matching
> imp.5.f<-mice(data.f,m=5,seed=23109)
> print(imp.5.f)
> # 50 imputations - Predictive mean matching
> imp.50.f<-mice(data.f,m=50,seed=23109)
> print(imp.50.f)
>
> #Running lmer
> library(lme4)
>
>    #Imputed data
>      #Females
>        Uncpde.math.f.mi <- with(imp.50.f, lmer(gain ~ index +
>          ( index | std_id), verbose=TRUE))
>        print(pool(Uncpde.math.f.mi))
>        round(summary(pool(Uncpde.math.f.mi)), 2)
> 	
>>        Uncpde.math.f.mi <- with(imp.50.f, lmer(gain ~ index +
> +         ( index | std_id), verbose=TRUE))
>    0:     91323.888: 0.666667 0.0912755 0.000000
>    1:     90950.102: 0.579295 0.000000 -0.298895
>    2:     88854.168: 0.305206 0.000000 -0.0962998
>    3:     88814.543: 0.288910 8.27185e-010 -0.126235
>    4:     88797.001: 0.261789 0.00137943 -0.146833
>    5:     88783.121: 0.229797 0.000000 -0.136191
>    6:     88765.032: 0.163649 0.000000 -0.170033
>    7:     88764.059: 0.101518 0.00683235 -0.129860
>    8:     88757.161: 0.0894730 0.000000 -0.151620
>    9:     88756.669: 0.0802386 0.000000 -0.161394
>   10:     88756.413: 0.0692536 0.000000 -0.169148
>   11:     88756.296: 0.0566213 0.000000 -0.173754
>   12:     88756.276: 0.0473775 0.000000 -0.172026
>   13:     88756.268: 0.0454115 0.000000 -0.177962
>   14:     88756.268: 0.0445268 0.000000 -0.177518
>   15:     88756.268: 0.0445255 6.95905e-007 -0.177518
>   16:     88756.268: 0.0443349 1.91179e-007 -0.177519
>   17:     88756.268: 0.0443349 1.91179e-007 -0.177519
>    0:     90892.401: 0.666667 0.0901811 0.000000
>    1:     90565.986: 0.582914 0.000000 -0.301351
>    2:     88348.591: 0.262114 0.000000 -0.107499
>    3:     88300.308: 0.000000 0.000000 -0.259898
>    4:     88300.308: 0.000000 0.000000 -0.259898
>    0:     92116.635: 0.666667 0.0860717 0.000000
>    1:     91920.069: 0.589035 0.000000 -0.302245
>    2:     89502.995: 0.208420 0.000000 -0.118175
>    3:     89484.310: 0.000000 0.000000 -0.217057
>    4:     89484.310: 0.000000 0.000000 -0.217057
>    0:     90508.355: 0.666667 0.0907223 0.000000
>    1:     90069.269: 0.575010 0.000000 -0.303351
>    2:     87914.618: 0.289817 0.000000 -0.0984479
>    3:     87811.950: 0.000000 0.000000 -0.262459
>    4:     87811.950: 0.000000 0.000000 -0.262459
>    0:     90728.496: 0.666667 0.0893763 0.000000
>    1:     90385.062: 0.582005 0.000000 -0.301492
>    2:     88044.313: 0.230444 0.000000 -0.108661
>    3:     88004.837: 0.000000 0.000000 -0.234827
>    4:     88004.837: 0.000000 0.000000 -0.234827
>    0:     90569.541: 0.666667 0.0904525 0.000000
>    1:     90248.550: 0.585924 0.000000 -0.296967
>    2:     87912.085: 0.229608 0.000000 -0.106161
>    3:     87890.585: 0.000000 0.000000 -0.222132
>    4:     87890.585: 0.000000 0.000000 -0.222132
>    0:     90567.799: 0.666667 0.0887506 0.000000
>    1:     90302.451: 0.587353 0.000000 -0.300203
>    2:     88030.944: 0.255280 0.000000 -0.110269
>    3:     87995.243: 0.000000 0.000000 -0.246234
>    4:     87995.243: 0.000000 0.000000 -0.246234
>    0:     90630.186: 0.666667 0.0905161 0.000000
>    1:     90245.654: 0.581825 0.000000 -0.299051
>    2:     88024.455: 0.278519 0.000000 -0.100122
>    3:     87959.404: 0.000000 0.000000 -0.269139
>    4:     87959.404: 0.000000 0.000000 -0.269139
>    0:     91431.304: 0.666667 0.0910478 0.000000
>    1:     91060.176: 0.577973 0.000000 -0.299692
>    2:     88879.745: 0.273428 0.000000 -0.0991786
>    3:     88804.068: 0.000000 0.000000 -0.272971
>    4:     88804.068: 0.000000 0.000000 -0.272971
>    0:     90853.326: 0.666667 0.0899358 0.000000
>    1:     90519.641: 0.585512 0.000000 -0.298258
>    2:     88288.745: 0.275120 0.000000 -0.102956
>    3:     88246.430: 0.000000 0.000000 -0.258963
>    4:     88246.430: 0.000000 0.000000 -0.258963
>    0:     90697.216: 0.666667 0.0856334 0.000000
>    1:     90578.775: 0.593759 0.000000 -0.298316
>    2:     88081.238: 0.184499 0.000000 -0.119253
>    3:     88078.012: 0.000000 0.000000 -0.196102
>    4:     88078.012: 0.000000 0.000000 -0.196102
>    0:     90639.439: 0.666667 0.0902601 0.000000
>    1:     90295.074: 0.583471 0.000000 -0.299601
>    2:     88125.514: 0.286629 0.000000 -0.102261
>    3:     88067.467: 0.000000 0.000000 -0.268202
>    4:     88067.467: 0.000000 0.000000 -0.268202
>    0:     90573.744: 0.666667 0.0917234 0.000000
>    1:     90156.547: 0.577930 0.000000 -0.300638
>    2:     88068.528: 0.306034 0.000000 -0.0965273
>    3:     87975.584: 0.000000 0.000000 -0.238077
>    4:     87975.584: 0.000000 0.000000 -0.238077
>    0:     89721.612: 0.666667 0.0913660 0.000000
>    1:     89274.384: 0.577867 0.000000 -0.302115
>    2:     87025.514: 0.258058 0.000000 -0.102274
>    3:     86960.255: 0.000000 0.000000 -0.264012
>    4:     86960.255: 0.000000 0.000000 -0.264012
>    0:     89773.327: 0.666667 0.0914180 0.000000
>    1:     89431.386: 0.579968 0.000000 -0.297710
>    2:     87172.239: 0.245863 0.000000 -0.102001
>    3:     87121.156: 0.000000 0.000000 -0.244505
>    4:     87121.156: 0.000000 2.95447e-009 -0.244505
>    5:     87121.156: 0.000000 1.89955e-009 -0.244505
>    0:     91307.998: 0.666667 0.0881736 0.000000
>    1:     90963.328: 0.582168 0.000000 -0.305197
>    2:     88585.039: 0.218209 0.000000 -0.114601
>    3:     88552.517: 0.000000 0.000000 -0.232242
>    4:     88552.517: 0.000000 0.000000 -0.232242
>    0:     90098.405: 0.666667 0.0912658 0.000000
>    1:     89625.050: 0.577676 0.000000 -0.303420
>    2:     87381.866: 0.264236 0.000000 -0.102601
>    3:     87313.537: 0.000000 0.000000 -0.270530
>    4:     87313.537: 0.000000 0.000000 -0.270530
>    0:     90946.093: 0.666667 0.0900592 0.000000
>    1:     90583.090: 0.581315 0.000000 -0.300756
>    2:     88388.898: 0.278531 0.000000 -0.102687
>    3:     88324.595: 0.000000 0.000000 -0.273038
>    4:     88324.595: 0.000000 0.000000 -0.273038
>    0:     91333.939: 0.666667 0.0913058 0.000000
>    1:     90904.541: 0.577003 0.000000 -0.299602
>    2:     88679.234: 0.272647 0.000000 -0.0969097
>    3:     88596.130: 0.000000 0.000000 -0.272223
>    4:     88596.130: 0.000000 0.000000 -0.272223
>    0:     90152.037: 0.666667 0.0900727 0.000000
>    1:     89702.620: 0.575074 0.000000 -0.306728
>    2:     87596.979: 0.302713 0.000000 -0.101807
>    3:     87484.248: 0.000000 0.000000 -0.248542
>    4:     87484.248: 0.000000 0.000000 -0.248542
>    0:     91117.801: 0.666667 0.0908513 0.000000
>    1:     90757.634: 0.580554 0.000000 -0.299360
>    2:     88603.505: 0.283831 0.000000 -0.0999435
>    3:     88574.096: 0.267794 0.000000 -0.130461
>    4:     88562.206: 0.238612 0.000000 -0.148816
>    5:     88553.044: 0.208478 0.000595092 -0.132080
>    6:     88546.351: 0.181458 0.000000 -0.153290
>    7:     88542.081: 0.150185 0.000000 -0.138783
>    8:     88539.627: 0.123847 1.01894e-009 -0.161027
>    9:     88538.734: 0.0942445 0.000744265 -0.143374
>   10:     88538.275: 0.0808928 0.000000 -0.152300
>   11:     88538.188: 0.0721130 0.000000 -0.159438
>   12:     88538.184: 0.0695887 0.000000 -0.160606
>   13:     88538.183: 0.0680936 0.000000 -0.160978
>   14:     88538.183: 0.0677477 0.000000 -0.160916
>   15:     88538.183: 0.0676509 0.000000 -0.160808
>   16:     88538.183: 0.0676691 0.000000 -0.160770
>    0:     90816.807: 0.666667 0.0906318 0.000000
>    1:     90424.195: 0.578291 0.000000 -0.302393
>    2:     88300.640: 0.297094 0.000000 -0.100293
>    3:     88204.488: 0.000000 0.000000 -0.253910
>    4:     88204.488: 0.000000 0.000000 -0.253910
>    0:     91513.066: 0.666667 0.0905136 0.000000
>    1:     91059.392: 0.572808 0.000000 -0.304419
>    2:     88963.498: 0.308436 0.000000 -0.0961059
>    3:     88828.230: 0.00365434 0.000000 -0.238915
>    4:     88828.230: 0.00353298 2.48295e-007 -0.238904
>    5:     88828.228: 0.000809467 8.53595e-006 -0.238663
>    6:     88828.227: 0.000000 0.000000 -0.238628
>    7:     88828.227: 0.000000 0.000000 -0.238628
>    0:     91150.802: 0.666667 0.0891040 0.000000
>    1:     90889.912: 0.587635 0.000000 -0.295390
>    2:     88556.237: 0.240279 0.000000 -0.104882
>    3:     88549.670: 0.235780 0.000000 -0.114362
>    4:     88542.519: 0.221856 0.000000 -0.136892
>    5:     88538.276: 0.196911 0.000536413 -0.128009
>    6:     88535.760: 0.176898 0.000000 -0.145077
>    7:     88534.303: 0.157582 0.000000 -0.126956
>    8:     88533.996: 0.156218 2.29140e-010 -0.129226
>    9:     88533.534: 0.153150 3.03087e-005 -0.133544
>   10:     88532.859: 0.140751 0.000000 -0.142165
>   11:     88532.514: 0.126963 0.000000 -0.135997
>   12:     88532.299: 0.114249 0.000000 -0.140115
>   13:     88532.276: 0.109185 0.000000 -0.141707
>   14:     88532.275: 0.107867 0.000000 -0.142196
>   15:     88532.275: 0.107761 0.000000 -0.142270
>   16:     88532.275: 0.107763 2.96078e-010 -0.142274
>   17:     88532.275: 0.107767 0.000000 -0.142285
>   18:     88532.275: 0.107776 0.000000 -0.142284
>    0:     90591.670: 0.666667 0.0902163 0.000000
>    1:     90253.650: 0.582677 0.000000 -0.296733
>    2:     87913.750: 0.234039 0.000000 -0.102682
>    3:     87877.999: 0.000000 0.000000 -0.227078
>    4:     87877.999: 0.000000 0.000000 -0.227078
>    0:     90673.897: 0.666667 0.0896992 0.000000
>    1:     90337.823: 0.585673 0.000000 -0.300345
>    2:     88000.465: 0.229841 0.000000 -0.109921
>    3:     87976.655: 0.000000 0.000000 -0.229344
>    4:     87976.655: 0.000000 0.000000 -0.229344
>    0:     91695.842: 0.666667 0.0899055 0.000000
>    1:     91404.328: 0.584642 0.000000 -0.297876
>    2:     89214.414: 0.281201 0.000000 -0.102582
>    3:     89188.190: 0.265626 0.000000 -0.133284
>    4:     89178.234: 0.236801 0.000000 -0.152108
>    5:     89170.640: 0.208346 0.00119384 -0.132766
>    6:     89165.050: 0.184852 0.000000 -0.157320
>    7:     89161.506: 0.155593 0.000000 -0.139179
>    8:     89159.386: 0.133551 4.59756e-009 -0.165624
>    9:     89159.213: 0.130015 0.00119127 -0.162734
>   10:     89158.808: 0.126412 0.000000 -0.160222
>   11:     89158.328: 0.109125 0.000000 -0.154874
>   12:     89158.186: 0.0975572 0.000000 -0.168789
>   13:     89158.113: 0.0883497 0.000000 -0.164147
>   14:     89158.112: 0.0893647 3.36482e-007 -0.164147
>   15:     89158.112: 0.0894556 0.000000 -0.164102
>   16:     89158.111: 0.0901974 2.92690e-006 -0.163772
>   17:     89158.111: 0.0904597 0.000000 -0.163769
>   18:     89158.111: 0.0904597 0.000000 -0.163769
>    0:     92026.232: 0.666667 0.0894992 0.000000
>    1:     91735.788: 0.581037 0.000000 -0.298447
>    2:     89530.291: 0.274498 0.000000 -0.101211
>    3:     89465.691: 0.000000 0.000000 -0.265849
>    4:     89465.691: 0.000000 0.000000 -0.265849
>    0:     89155.666: 0.666667 0.0892915 0.000000
>    1:     88806.417: 0.582861 0.000000 -0.303162
>    2:     86512.523: 0.245630 0.000000 -0.109990
>    3:     86472.497: 0.000000 0.000000 -0.248275
>    4:     86472.497: 0.000000 0.000000 -0.248275
>    0:     91625.651: 0.666667 0.0892096 0.000000
>    1:     91305.690: 0.580685 0.000000 -0.300005
>    2:     89053.463: 0.263647 0.000000 -0.103131
>    3:     88986.561: 0.000000 0.000000 -0.261116
>    4:     88986.561: 0.000000 0.000000 -0.261116
>    0:     90869.702: 0.666667 0.0892723 0.000000
>    1:     90555.120: 0.579552 0.000000 -0.300675
>    2:     88410.128: 0.295998 0.000000 -0.100232
>    3:     88314.598: 0.000000 0.000000 -0.255183
>    4:     88314.598: 0.000000 3.86364e-009 -0.255183
>    5:     88314.598: 0.000000 3.86364e-009 -0.255183
>    0:     91108.704: 0.666667 0.0906011 0.000000
>    1:     90804.467: 0.586207 0.000000 -0.293469
>    2:     88408.714: 0.209336 0.000000 -0.104199
>    3:     88390.555: 0.000000 0.000000 -0.233786
>    4:     88390.555: 0.000000 4.74440e-009 -0.233786
>    5:     88390.555: 0.000000 4.74440e-009 -0.233786
>    0:     91771.237: 0.666667 0.0903370 0.000000
>    1:     91413.484: 0.577979 0.000000 -0.300203
>    2:     89218.035: 0.273200 0.000000 -0.100290
>    3:     89189.934: 0.254171 1.16058e-009 -0.128658
>    4:     89174.483: 0.222469 0.00144656 -0.141297
>    5:     89151.646: 0.136126 0.000000 -0.129612
>    6:     89144.537: 0.0652530 0.000000 -0.181235
>    7:     89143.147: 0.000000 0.000000 -0.132500
>    8:     89143.147: 0.000000 0.000000 -0.132500
>    0:     92075.541: 0.666667 0.0889713 0.000000
>    1:     91754.396: 0.582594 0.000000 -0.299314
>    2:     89493.502: 0.269474 0.000000 -0.102596
>    3:     89431.022: 0.000000 0.000000 -0.259856
>    4:     89431.022: 0.000000 0.000000 -0.259856
>    0:     90741.014: 0.666667 0.0910750 0.000000
>    1:     90297.019: 0.577011 0.000000 -0.305139
>    2:     88152.539: 0.285117 0.000000 -0.103300
>    3:     88068.757: 0.000000 0.000000 -0.272904
>    4:     88068.757: 0.000000 0.000000 -0.272904
>    0:     90254.977: 0.666667 0.0906367 0.000000
>    1:     89853.808: 0.580116 0.000000 -0.303049
>    2:     87726.880: 0.295568 0.000000 -0.102663
>    3:     87649.217: 0.000000 0.000000 -0.257359
>    4:     87649.217: 0.000000 0.000000 -0.257359
>    0:     90214.862: 0.666667 0.0899011 0.000000
>    1:     89935.462: 0.586403 0.000000 -0.298133
>    2:     87667.921: 0.252502 0.000000 -0.107255
>    3:     87649.405: 0.231383 0.00404239 -0.138625
>    4:     87640.356: 0.197140 0.000000 -0.132754
>    5:     87636.308: 0.171573 0.000000 -0.160910
>    6:     87633.747: 0.143169 0.000414332 -0.135621
>    7:     87631.943: 0.109135 0.00175782 -0.152542
>    8:     87631.413: 0.100984 0.000000 -0.155398
>    9:     87631.389: 0.0970080 0.000000 -0.156461
>   10:     87631.383: 0.0953971 0.000000 -0.160248
>   11:     87631.379: 0.0917818 4.22655e-005 -0.158282
>   12:     87631.379: 0.0936796 0.000000 -0.159862
>   13:     87631.378: 0.0935501 0.000000 -0.158634
>   14:     87631.377: 0.0923555 0.000000 -0.158946
>   15:     87631.377: 0.0929711 0.000000 -0.158993
>   16:     87631.377: 0.0929886 1.09932e-006 -0.158978
>    0:     90450.512: 0.666667 0.0891198 0.000000
>    1:     90145.789: 0.582078 0.000000 -0.299052
>    2:     87955.609: 0.286906 0.000000 -0.100895
>    3:     87880.498: 0.000000 0.000000 -0.267268
>    4:     87880.498: 0.000000 0.000000 -0.267268
>    0:     89654.427: 0.666667 0.0897456 0.000000
>    1:     89249.342: 0.581870 0.000000 -0.303489
>    2:     86983.487: 0.260490 0.000000 -0.107015
>    3:     86936.154: 0.000000 0.000000 -0.262106
>    4:     86936.154: 0.000000 0.000000 -0.262106
>    0:     90672.682: 0.666667 0.0899628 0.000000
>    1:     90295.782: 0.579048 0.000000 -0.302737
>    2:     88163.587: 0.295266 0.000000 -0.102005
>    3:     88073.489: 0.000000 0.000000 -0.257767
>    4:     88073.489: 0.000000 0.000000 -0.257767
>    0:     90937.235: 0.666667 0.0908255 0.000000
>    1:     90560.743: 0.576783 0.000000 -0.302200
>    2:     88512.443: 0.313763 0.000000 -0.0979954
>    3:     88397.731: 0.0116791 0.000000 -0.238082
>    4:     88397.731: 0.0116793 2.13555e-006 -0.238082
>    5:     88397.731: 0.0116802 1.58534e-006 -0.238082
>    6:     88397.707: 0.0199269 2.58593e-006 -0.240413
>    7:     88397.698: 0.0233275 1.25248e-006 -0.240845
>    8:     88397.681: 0.0360058 0.000000 -0.238725
>    9:     88397.642: 0.0377094 0.000000 -0.233764
>   10:     88397.488: 0.0443160 0.000000 -0.213853
>   11:     88397.429: 0.0505245 0.000000 -0.206634
>   12:     88397.386: 0.0624587 0.000000 -0.191795
>   13:     88397.384: 0.0605955 1.43867e-007 -0.197179
>   14:     88397.382: 0.0592088 1.94955e-008 -0.196263
>   15:     88397.382: 0.0603454 2.87004e-008 -0.195051
>   16:     88397.382: 0.0603722 3.24738e-008 -0.195107
>    0:     90982.636: 0.666667 0.0900408 0.000000
>    1:     90686.775: 0.589304 0.000000 -0.297633
>    2:     88417.031: 0.251443 0.000000 -0.107854
>    3:     88408.132: 0.000000 0.000000 -0.236649
>    4:     88408.132: 0.000000 0.000000 -0.236649
>    0:     90869.412: 0.666667 0.0910546 0.000000
>    1:     90447.155: 0.576076 0.000000 -0.301419
>    2:     88292.494: 0.290024 0.000000 -0.0973598
>    3:     88189.600: 0.000000 0.000000 -0.261628
>    4:     88189.600: 0.000000 0.000000 -0.261628
>    0:     91555.700: 0.666667 0.0894430 0.000000
>    1:     91205.211: 0.583675 0.000000 -0.300239
>    2:     88819.778: 0.217977 0.000000 -0.109167
>    3:     88792.163: 0.000000 0.000000 -0.221989
>    4:     88792.163: 0.000000 0.000000 -0.221989
>    0:     90699.353: 0.666667 0.0934181 0.000000
>    1:     90253.805: 0.585847 0.000000 -0.298291
>    2:     88159.371: 0.298780 0.000000 -0.100183
>    3:     88136.845: 0.000000 0.000000 -0.249850
>    4:     88136.845: 0.000000 0.000000 -0.249850
>    0:     91038.775: 0.666667 0.0912136 0.000000
>    1:     90656.405: 0.581786 0.000000 -0.298768
>    2:     88476.176: 0.280341 0.000000 -0.100177
>    3:     88413.623: 0.000000 0.000000 -0.270528
>    4:     88413.623: 0.000000 4.32879e-009 -0.270528
>    5:     88413.623: 0.000000 4.32879e-009 -0.270528
>    0:     90534.064: 0.666667 0.0912434 0.000000
>    1:     90158.703: 0.581799 0.000000 -0.299923
>    2:     88007.169: 0.285653 0.000000 -0.101348
>    3:     87975.548: 0.270763 9.94850e-010 -0.132543
>    4:     87963.471: 0.241261 0.00166749 -0.150478
>    5:     87955.484: 0.212149 0.000000 -0.133227
>    6:     87948.984: 0.188039 0.000000 -0.157996
>    7:     87945.106: 0.157972 2.87461e-009 -0.140942
>    8:     87942.894: 0.135918 0.000655211 -0.167551
>    9:     87942.121: 0.110783 0.000000 -0.144511
>   10:     87941.407: 0.0820679 0.000000 -0.163754
>   11:     87941.374: 0.0874460 0.000000 -0.164379
>   12:     87941.366: 0.0924083 0.000000 -0.165031
>   13:     87941.366: 0.0921629 2.75824e-006 -0.164807
>   14:     87941.365: 0.0918365 0.000000 -0.164754
>   15:     87941.365: 0.0918121 1.05293e-009 -0.164776
>   16:     87941.365: 0.0916407 1.25385e-007 -0.164902
>   17:     87941.365: 0.0916280 0.000000 -0.164885
>   18:     87941.365: 0.0915976 1.78900e-007 -0.164855
>   19:     87941.365: 0.0915710 0.000000 -0.164868
>   20:     87941.365: 0.0915709 6.77374e-008 -0.164868
>   21:     87941.365: 0.0915707 0.000000 -0.164868
>   22:     87941.365: 0.0915706 0.000000 -0.164869
>   23:     87941.365: 0.0915706 0.000000 -0.164869
>    0:     90538.952: 0.666667 0.0906664 0.000000
>    1:     90188.780: 0.580152 0.000000 -0.298077
>    2:     87995.424: 0.280946 0.000000 -0.0982630
>    3:     87965.709: 0.263221 1.10254e-009 -0.127679
>    4:     87950.953: 0.232057 0.00156023 -0.142027
>    5:     87932.225: 0.160075 0.000000 -0.123961
>    6:     87924.828: 0.107481 0.000000 -0.177222
>    7:     87923.913: 0.101794 1.32194e-009 -0.172355
>    8:     87922.762: 0.0898806 0.000000 -0.163290
>    9:     87922.603: 0.0870883 2.97543e-007 -0.162210
>   10:     87921.808: 0.0643480 0.000000 -0.154688
>   11:     87921.756: 0.0619822 1.91616e-007 -0.155062
>   12:     87921.461: 0.0430376 0.000000 -0.157938
>   13:     87921.329: 0.0246316 0.000000 -0.160343
>   14:     87921.290: 0.0115580 0.000000 -0.161904
>   15:     87921.281: 0.00286298 0.000000 -0.162911
>   16:     87921.281: 0.00189741 3.55755e-005 -0.162906
>   17:     87921.280: 0.000934638 0.000000 -0.162938
>   18:     87921.280: 0.000000 0.000000 -0.162968
>   19:     87921.280: 0.000000 0.000000 -0.162968
>    0:     89913.444: 0.666667 0.0906915 0.000000
>    1:     89490.109: 0.578190 0.000000 -0.300666
>    2:     87265.611: 0.273646 0.000000 -0.0992267
>    3:     87184.839: 0.000000 0.000000 -0.273871
>    4:     87184.839: 0.000000 0.000000 -0.273871
>    0:     91445.647: 0.666667 0.0887779 0.000000
>    1:     91205.368: 0.586436 0.000000 -0.295702
>    2:     88923.840: 0.258811 0.000000 -0.103445
>    3:     88907.893: 0.242519 0.000000 -0.128815
>    4:     88901.918: 0.218662 0.000000 -0.147252
>    5:     88895.042: 0.195226 0.000965137 -0.128307
>    6:     88890.006: 0.169408 0.000000 -0.143102
>    7:     88886.667: 0.140591 0.000000 -0.134234
>    8:     88884.703: 0.113739 4.18354e-009 -0.147949
>    9:     88883.819: 0.0890199 0.000000 -0.150225
>   10:     88883.509: 0.0702513 0.000000 -0.151673
>   11:     88883.409: 0.0564583 0.000000 -0.152518
>   12:     88883.380: 0.0469538 0.000000 -0.152913
>   13:     88883.374: 0.0411088 0.000000 -0.152998
>   14:     88883.372: 0.0382539 0.000000 -0.152898
>   15:     88883.372: 0.0371689 0.000000 -0.152722
>   16:     88883.372: 0.0365899 0.000000 -0.152428
>   17:     88883.372: 0.0362285 0.000000 -0.151744
>   18:     88883.371: 0.0366140 0.000000 -0.150915
>   19:     88883.371: 0.0373644 0.000000 -0.150538
>   20:     88883.371: 0.0373648 4.72818e-007 -0.150539
>   21:     88883.371: 0.0375860 0.000000 -0.150728
>   22:     88883.371: 0.0378454 0.000000 -0.150594
> Warning messages:
> 1: In mer_finalize(ans) : false convergence (8)
> 2: In mer_finalize(ans) : singular convergence (7)
> 3: In mer_finalize(ans) : singular convergence (7)
> 4: In mer_finalize(ans) : false convergence (8)
> 5: In mer_finalize(ans) : false convergence (8)
>>        print(pool(Uncpde.math.f.mi))
> Call: pool(object = Uncpde.math.f.mi)
>
> Pooled coefficients:
>    (Intercept) index
>     1.90889735    0.02891385
>
> Fraction of information about the coefficients missing due to nonresponse:
>    (Intercept) index
>      0.9464698     0.9361655
>>        round(summary(pool(Uncpde.math.f.mi)), 2)
>                 est   se    t    df Pr(>|t|) lo 95 hi 95  nmis  fmi lambda
> (Intercept)   1.91 0.27 6.98 49.87      0.0  1.36  2.46    NA 0.95   0.94
> index 0.03 0.03 0.85 51.68      0.4 -0.04  0.10 11776 0.94   0.93
>
> _______________________________________________
> R-sig-mixed-models at r-project.org mailing list 
> https://stat.ethz.ch/mailman/listinfo/r-sig-mixed-models
>

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