DGP Q = 10 Q = 16 Q = 22 Q = 24 Log likelihood −8212.05 −8211.26 −830.71 −8301.27 y1 Dynamic equation y1 − 1 0.3 $\underset{\left(0.0489\right)}{{0.2754}^{***}}$ $\underset{\left(0.05\right)}{{0.2195}^{***}}$ $\underset{\left(0.052\right)}{{0.2206}^{***}}$ $\underset{\left(0.0527\right)}{{0.2131}^{***}}$ y2 − 1 0.1 $\underset{\left(0.0483\right)}{{0.1376}^{***}}$ $\underset{\left(0.0513\right)}{{0.1267}^{**}}$ $\underset{\left(0.0554\right)}{{0.1196}^{**}}$ $\underset{\left(0.0568\right)}{{0.1010}^{*}}$ Gender = Male −0.05 $\underset{\left(0.0479\right)}{-0.0580}$ $\underset{\left(0.0521\right)}{-0.0554}$ $\underset{\left(0.058\right)}{-0.0732}$ $\underset{\left(0.0604\right)}{-0.0599}$ Unemployment rate −0.2 $\underset{\left(0.0262\right)}{-{0.1509}^{***}}$ $\underset{\left(0.0269\right)}{-{0.1682}^{***}}$ $\underset{\left(0.0273\right)}{-{0.1792}^{***}}$ $\underset{\left(0.0275\right)}{-{0.1810}^{***}}$ Intercept 1.9 $\underset{\left(0.2598\right)}{{2.3270}^{***}}$ $\underset{\left(0.2667\right)}{{2.3113}^{***}}$ $\underset{\left(0.2726\right)}{{2.3089}^{***}}$ $\underset{\left(0.2753\right)}{{2.30}^{***}}$ y2 Dynamic equation y1−1 −0.1 $\underset{\left(0.0541\right)}{0.0224}$ $\underset{\left(0.0567\right)}{-0.0051}$ $\underset{0.0594}{-0.0136}$ $\underset{\left(0.0605\right)}{-0.0191}$ y2−1 0.4 $\underset{\left(0.0596\right)}{{0.5851}^{***}}$ $\underset{\left(0.0610\right)}{{0.4926}^{***}}$ $\underset{\left(0.0642\right)}{{0.4846}^{***}}$ $\underset{\left(0.0650\right)}{{0.4752}^{***}}$ Gender = Male 0.05 $\underset{\left(0.0542\right)}{0.0570}$ $\underset{\left(0.0594\right)}{0.0730}$ $\underset{\left(0.0650\right)}{0.0817}$ $\underset{\left(0.0673\right)}{0.0725}$ Medical density 0.5 $\underset{\left(1.0685\right)}{1.3305}$ $\underset{\left(1.1111\right)}{0.5687}$ $\underset{\left(1.1357\right)}{0.4874}$ $\underset{\left(1.1473\right)}{0.3549}$ Intercept −0.4 $\underset{\left(2.040\right)}{-1.7595}$ $\underset{\left(2.1220\right)}{-0.4677}$ $\underset{\left(2.1704\right)}{-0.4064}$ $\underset{\left(2.1936\right)}{-0.1492}$