Table 2.
Parameter estimates: mean, standard deviation and root mean squared error in parentheses over 5000 datasets for the Negative Binomial mixed model (5). We have varied the serial correlation captured by the random effects standard deviation 
and the sample size 
| Pars | True |
= 10 |
= 20 |
= 40 |
= 60 |
|---|---|---|---|---|---|
| |||||
|
4.00 | 3.991(0.287)(0.287) | 3.997(0.202)(0.202) | 3.998(0.144)(0.144) | 4.000(0.117)(0.117) |
|
1.00 | 1.001(0.147)(0.147) | 0.999(0.106)(0.106) | 1.000(0.073)(0.073) | 0.998(0.060)(0.060) |
|
0.00 | -0.001(0.413)(0.413) | -0.001(0.290)(0.290) | 0.002(0.206)(0.206) | 0.000(0.167)(0.167) |
|
0.00 | 0.000(0.208)(0.208) | 0.001(0.148)(0.148) | -0.001(0.103)(0.103) | 0.001(0.086)(0.086) |
|
0.25 | 0.193(0.122)(0.135) | 0.221(0.091)(0.095) | 0.237(0.067)(0.068) | 0.241(0.056)(0.056) |
|
4.00 | 4.46(1.111)(1.202) | 4.209(0.690)(0.721) | 4.099(0.466)(0.476) | 4.064(0.372)(0.378) |
| |||||
|
4.00 | 3.991(0.485)(0.485) | 3.996(0.341)(0.341) | 3.997(0.243)(0.243) | 3.997(0.197)(0.197) |
|
1.00 | 1.001(0.148)(0.148) | 1.000(0.106)(0.106) | 1.000(0.074)(0.074) | 1.001(0.060)(0.060) |
|
0.00 | -0.004(0.692)(0.692) | 0.001(0.483)(0.483) | 0.004(0.346)(0.346) | 0.002(0.283)(0.283) |
|
0.00 | 0.003(0.210)(0.210) | -0.001(0.151)(0.151) | 0.000(0.105)(0.105) | -0.001(0.086)(0.086) |
|
1.00 | 0.802(0.431)(0.474) | 0.904(0.319)(0.333) | 0.952(0.231)(0.236) | 0.969(0.192)(0.194) |
|
4.00 | 4.466(1.131)(1.223) | 4.212(0.696)(0.728) | 4.103(0.475)(0.486) | 4.073(0.381)(0.388) |
| |||||
|
4.00 | 3.991(0.697)(0.697) | 3.995(0.491)(0.491) | 3.999(0.348)(0.348) | 4.000(0.283)(0.283) |
|
1.00 | 1.001(0.147)(0.147) | 0.999(0.107)(0.107) | 0.999(0.074)(0.074) | 0.999(0.062)(0.062) |
|
0.00 | -0.004(0.992)(0.992) | -0.001(0.695)(0.695) | 0.005(0.499)(0.499) | -0.001(0.403)(0.403) |
|
0.00 | 0.002(0.211)(0.211) | 0.003(0.153)(0.153) | 0.002(0.106)(0.106) | 0.002(0.088)(0.088) |
|
2.25 | 1.817(0.947)(1.041) | 2.044(0.703)(0.732) | 2.149(0.506)(0.516) | 2.184(0.422)(0.427) |
|
4.00 | 4.474(1.13)(1.225) | 4.224(0.718)(0.752) | 4.105(0.486)(0.497) | 4.076(0.388)(0.395) |
| |||||
|
4.00 | 3.99(0.922)(0.922) | 3.994(0.648)(0.648) | 3.994(0.458)(0.458) | 3.996(0.372)(0.372) |
|
1.00 | 0.999(0.154)(0.154) | 1.000(0.109)(0.109) | 1.001(0.077)(0.077) | 1.001(0.063)(0.063) |
|
0.00 | -0.004(1.308)(1.308) | 0.005(0.919)(0.919) | 0.014(0.660)(0.660) | 0.001(0.531)(0.531) |
|
0.00 | 0.002(0.217)(0.217) | 0.000(0.153)(0.153) | -0.001(0.108)(0.108) | 0.000(0.090)(0.090) |
|
4.00 | 3.234(1.679)(1.845) | 3.631(1.244)(1.297) | 3.814(0.896)(0.915) | 3.864(0.737)(0.749) |
|
4.00 | 4.505(1.193)(1.295) | 4.240(0.741)(0.778) | 4.120(0.505)(0.519) | 4.081(0.397)(0.405) |