Table 5 Model estimation using maximum likelihood estimation using numeric integrations
Variables | Levels | Coet | Integration points (adaptive Gaussian quadrature) | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | 6 | 7 | 15 | |||
Intercept | β0 | 0.4099206 | 0.4107573 | 0.4101662 | 0.4080258 | 0.4081808 | 0.4081286 | 0.4081079 | 0.4081097 | |
change | Δ | 0.44 | 0.65 | 0.50 | − 0.02 | 0.02 | 0.00 | 0.00 | 0 | |
Weduc | 1 | β1 | − 0.2621837 | − 0.2621892 | − 0.2620715 | − 0.2619532 | − 0.2619635 | − 0.2619598 | − 0.2619586 | − 0.2619587 |
Δ | 0.09 | 0.09 | 0.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0 | ||
2 | β2 | − 0.9546576 | − 0.954226 | − 0.9532883 | − 0.9532141 | − 0.9532083 | − 0.9532001 | − 0.9532014 | − 0.953201 | |
Δ | 0.15 | 0.11 | 0.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0 | ||
Meduc | 1 | β3 | − 0.1525055 | − 0.1525159 | − 0.1522229 | − 0.151932 | − 0.1519509 | − 0.1519412 | − 0.151938 | − 0.1519382 |
Δ | 0.37 | 0.38 | 0.19 | 0.00 | 0.01 | 0.00 | 0.00 | 0 | ||
2 | β4 | − 0.3358535 | − 0.3357814 | − 0.335662 | − 0.3356836 | − 0.3356823 | − 0.3356825 | − 0.3356829 | − 0.3356828 | |
Δ | 0.05 | 0.03 | − 0.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0 | ||
Ownhouse | 1 | β5 | 0.0074595 | 0.0073911 | 0.0067509 | 0.0062689 | 0.0062921 | 0.0062773 | 0.0062705 | 0.0062709 |
Δ | 18.95 | 17.86 | 7.65 | − 0.03 | 0.34 | 0.10 | − 0.01 | 0 | ||
Perexilaw | 1 | β6 | − 0.585237 | − 0.5852801 | − 0.5851538 | − 0.5849595 | − 0.5849801 | − 0.5849752 | − 0.5849734 | − 0.5849738 |
Δ | 0.04 | 0.05 | 0.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0 | ||
Literacy | 1 | β7 | − 0.2780723 | − 0.277927 | − 0.2779039 | − 0.278158 | − 0.2781428 | − 0.2781471 | − 0.2781508 | − 0.2781504 |
Δ | − 0.03 | − 0.08 | − 0.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0 | ||
Wage | 1 | β8 | − 0.3008851 | − 0.3009183 | − 0.3011091 | − 0.3012277 | − 0.3012232 | − 0.3012268 | − 0.3012289 | − 0.3012288 |
Δ | − 0.11 | − 0.10 | − 0.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0 | ||
2 | β9 | − 0.4023528 | − 0.4023962 | − 0.4025204 | − 0.4025576 | − 0.4025593 | − 0.4025606 | − 0.4025619 | − 0.4025618 | |
Δ | − 0.05 | − 0.04 | − 0.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0 | ||
Empowered | 1 | β10 | 0.0687065 | 0.0687084 | 0.06878 | 0.0688409 | 0.0688356 | 0.0688383 | 0.068839 | 0.0688389 |
Δ | − 0.19 | − 0.19 | − 0.09 | 0.00 | 0.00 | 0.00 | 0.00 | |||
2 | β11 | − 0.4141394 | − 0.414175 | − 0.4141225 | − 0.4140116 | − 0.4140255 | − 0.4140227 | − 0.4140218 | − 0.414022 | |
Δ | 0.03 | 0.04 | 0.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0 | ||
Cohabdur | 1 | β14 | − 0.2231365 | − 0.2231093 | − 0.2231121 | − 0.2231632 | − 0.2231591 | − 0.2231613 | − 0.2231619 | − 0.2231618 |
Δ | − 0.01 | − 0.02 | − 0.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0 | ||
2 | β15 | 0.0359486 | 0.0359922 | 0.0362362 | 0.0363868 | 0.0363811 | 0.0363856 | 0.0363878 | 0.0363877 | |
Δ | − 1.21 | − 1.09 | − 0.42 | 0.00 | − 0.02 | − 0.01 | 0.00 | 0 | ||
Residence | 1 | β16 | 0.3351694 | 0.3345385 | 0.3348971 | 0.3364416 | 0.3363268 | 0.3363573 | 0.3363743 | 0.3363723 |
Δ | − 0.36 | − 0.55 | − 0.44 | 0.02 | − 0.01 | 0.00 | 0.00 | 0 | ||
State region | 1 | β18 | 0.8587015 | 0.8579745 | 0.8583721 | 0.8601331 | 0.8600154 | 0.8600562 | 0.8600763 | 0.8600745 |
Δ | − 0.16 | − 0.24 | − 0.20 | 0.01 | − 0.01 | 0.00 | 0.00 | 0 | ||
2 | β19 | 1.300386 | 1.299424 | 1.29947 | 1.301329 | 1.3012 | 1.301244 | 1.301263 | 1.301262 | |
Δ | − 0.07 | − 0.14 | − 0.14 | 0.01 | 0.00 | 0.00 | 0.00 | 0 | ||
3 | β20 | 1.233859 | 1.232813 | 1.2336 | 1.236344 | 1.236157 | 1.236217 | 1.236249 | 1.236246 | |
Δ | − 0.19 | − 0.28 | − 0.21 | 0.01 | − 0.01 | 0.00 | 0.00 | 0 | ||
4 | β21 | 1.566518 | 1.565324 | 1.565393 | 1.567739 | 1.567572 | 1.567617 | 1.567644 | 1.567642 | |
Δ | − 0.07 | − 0.15 | − 0.14 | 0.01 | 0.00 | 0.00 | 0.00 | 0 | ||
5 | β22 | 1.132173 | 1.131321 | 1.131443 | 1.133171 | 1.133052 | 1.133093 | 1.133111 | 1.13311 | |
Δ | − 0.08 | − 0.16 | − 0.15 | 0.01 | − 0.01 | 0.00 | 0.00 | 0 | ||
6 | β23 | 1.921282 | 1.919887 | 1.920352 | 1.923534 | 1.923363 | 1.923422 | 1.923461 | 1.923458 | |
Δ | − 0.11 | − 0.19 | − 0.16 | 0.00 | 0.00 | 0.00 | 0.00 | |||
7 | β24 | 0.7046811 | 0.7039556 | 0.7047959 | 0.7069488 | 0.7068052 | 0.7068655 | 0.706888 | 0.7068863 | |
Δ | − 0.31 | − 0.41 | − 0.30 | 0.01 | − 0.01 | 0.00 | 0.00 | |||
8 | β25 | 1.577282 | 1.576063 | 1.576114 | 1.578494 | 1.578322 | 1.578366 | 1.578395 | 1.578392 | |
Δ | − 0.07 | − 0.15 | − 0.14 | 0.01 | 0.00 | 0.00 | 0.00 | |||
9 | β26 | 1.446125 | 1.44494 | 1.445813 | 1.448911 | 1.448719 | 1.448792 | 1.448827 | 1.448824 | |
Δ | − 0.19 | − 0.27 | − 0.21 | 0.01 | − 0.01 | 0.00 | 0.00 | 0 | ||
10 | β27 | 1.298739 | 1.297733 | 1.297772 | 1.299724 | 1.299585 | 1.299625 | 1.299647 | 1.299645 | |
Δ | − 0.07 | − 0.15 | − 0.14 | 0.01 | 0.00 | 0.00 | 0.00 | |||
House*resid | 1 | β28 | 0.3957343 | 0.3958327 | 0.3964529 | 0.3968657 | 0.3968512 | 0.3968629 | 0.3968694 | 0.3968689 |
Δ | − 0.29 | − 0.26 | − 0.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0 | ||
variance | σ2uo | 0.5286196 | 0.528539 | 0.5373573 | 0.5459406 | 0.5454333 | 0.5456973 | 0.5458017 | 0.545793 | |
change | Δ | − 3.15 | − 3.16 | − 1.55 | 0.03 | − 0.07 | − 0.02 | 0.00 | 0 | |
Log likelihood | − 4824.4213 | − 4824.2808 | − 4823.052 | − 4822.1411 | − 4822.1809 | − 4822.1659 | − 4822.1603 | − 4822.1608 | ||
Δ | 0.05 | 0.04 | 0.02 | 0.00 | 0.00 | 0.00 | 0.00 | |||