Table 4 Instrumental variable estimates: first stage regressions
From: The impact of parental income and education on the schooling of their children
Sons | Daughters | |||||
|---|---|---|---|---|---|---|
Paternal schooling | Maternal schooling | Log paternal earnings | Paternal schooling | Maternal schooling | Log paternal earnings | |
Paternal RoSLA | 0.228** | -0.011 | 0.010 | 0.263** | 0.082 | -0.024 |
(0.104) | (0.091) | (0.024) | (0.105) | (0.092) | (0.024) | |
Paternal MoB | -0.019** | 0.007 | -0.003 | -0.009 | -0.004 | 0.000 |
(0.008) | (0.007) | (0.002) | (0.008) | (0.007) | (0.002) | |
Maternal RoSLA | 0.022 | 0.231*** | 0.017 | -0.049 | 0.242*** | 0.035 |
(0.102) | (0.089) | (0.102) | (0.104) | (0.091) | (0.024) | |
Maternal MoB | 0.005 | -0.016** | 0.001 | 0.016* | -0.014** | 0.006*** |
(0.008) | (0.007) | (0.002) | (0.008) | (0.007) | (0.002) | |
Paternal Union Membership (PUM) | 0.477*** | 0.484*** | 0.010 | 0.462*** | 0.509*** | -0.001 |
(0.067) | (0.059) | (0.016) | (0.069) | (0.061) | (0.016) | |
PUM*Blue Collar | -0.540*** | -0.520*** | 0.190*** | -0.508*** | -0.495*** | 0.209*** |
(0.100) | (0.087) | (0.023) | (0.102) | (0.089) | (0.023) | |
Using PUM as an IV | ||||||
F-test of all instruments in each individual equation | 10.51 | 13.11 | 23.71 | 9.7 | 13.85 | 25.23 |
Angrist and Pischke F test | 6.24 | 7.77 | 35.45 | 5.75 | 8.25 | 37.48 |
F-test of all instruments in all equations jointly | 15.27 | 15.78 | ||||
Using PUM in second stage as exogenous variables | ||||||
F-test of all instruments in each individual equation | 8.39 | 9.42 | 15.82 | 7.78 | 8.74 | 17.59 |
Angrist and Pischke F test | 7.28 | 7.44 | 13.81 | 6.23 | 4.34 | 7.17 |
F-test of all instruments in all equations jointly | 13.70 | 12.80 | ||||