From: Mental health around retirement: evidence of Ashenfelter’s dip
Stage I | Stage II | ||||
---|---|---|---|---|---|
Retired | Ret. 2 yrs later | Ret. 4 yrs later | Ret. 6 yrs later | ||
Corresponding IVnormal | 0.255 (0.003)*** | 0.122 (0.002)*** | 0.040 (0.002)*** | 0.016 (0.002)*** | |
Corresponding IVearly | 0.191 (0.003)*** | 0.166 (0.003)*** | 0.072 (0.002)*** | 0.011 (0.002)*** | |
Retired (β) | − 0.166 (0.071)* | ||||
Retired lead 1 (λ1) | − 0.313 (0.121)** | ||||
Retired lead 2 (λ2) | − 0.232 | ||||
(0.305) | |||||
Retired lead 3 (λ3) | − 2.116 | ||||
(1.249) | |||||
Age | 0.021 | 0.023 | 0.016 | − 0.000 | − 0.187 |
(0.003)*** | (0.003)*** | (0.002)*** | (0.002) | (0.028)*** | |
Age × Age | − 0.000 (0.000)*** | − 0.000 (0.000)*** | − 0.000 (0.000)*** | − 0.000 (0.000)*** | 0.001 (0.000)** |
Marital status | 0.008 | 0.001 | − 0.000 | − 0.003 | − 0.581 |
(0.005) | (0.004) | (0.003) | (0.003) | (0.036)*** | |
Number of children | − 0.003 | 0.000 | − 0.001 | 0.001 | 0.019 |
(0.002)* | (0.001) | (0.001) | (0.001) | (0.011) | |
Vigorous activities | 0.002 | 0.001 | 0.000 | 0.001 | 0.051 |
(0.001)*** | (0.001) | (0.000) | (0.000) | (0.005)*** | |
Moderate activities | − 0.006 | − 0.002 | 0.000 | − 0.000 | 0.135 |
(0.001)*** | (0.001)* | (0.001) | (0.001) | (0.007)*** | |
GDP growth | − 0.001 | − 0.001 | 0.002 | 0.000 | − 0.000 |
(0.000)* | (0.000)** | (0.000)*** | (0.000) | (0.004) | |
Unemployment rate | − 0.006 (0.000)*** | − 0.004 (0.000)*** | − 0.002 (0.000)*** | − 0.001 (0.000)*** | 0.005 (0.002)* |
Constant | − 0.209 | 0.055 | 0.239 | 1.097 | 11.926 |
(0.174) | (0.153) | (0.123) | (0.113)*** | (1.650)*** | |
F-test | 3.68*** | 6.83*** | 12.71*** | 16.69*** | |
Weak identification test | |||||
Cragg-Donald Wald F statistic | 6394.216 | 3666.48 | 794.32 | 57.40 | |
Stock-Yogo weak ID test critical values | |||||
10% maximal IV size | 19.93 | 19.93 | 19.93 | 19.93 | |
15% maximal IV size | 11.59 | 11.59 | 11.59 | 11.59 | |
20% maximal IV size | 8.75 | 8.75 | 8.75 | 8.75 | |
25% maximal IV size | 7.25 | 7.25 | 7.25 | 7.25 | |
Weak-instrument-robust inference | |||||
Anderson-Rubin Wald test-F | 10.38*** | 15.70*** | 13.93*** | 9.01*** | |
Anderson-Rubin Wald test-Chi-sq(2) | 20.76*** | 31.41*** | 27.87*** | 18.03*** | |
N | 175,722 | 175,722 | 175,722 | 175,722 | 173,510 |