Table 1
Using the Factor Model to Correct for Measurement Error
Linear Anchoring on Educational Attainment (Years of Schooling)
No Unobserved Heterogeneity (π), Factors Normally Distributed
The Technology of Cognitive Skill Formation
First Stage |
Second Stage | |||
Current Period Cognitive Skills (Self-Productivity) |
γ1,C,1 |
0.487 |
γ2,C,1 |
0.902 |
(0.030) |
(0.014) | |||
Current Period Noncognitive Skills (Cross-Productivity) |
γ1,C,2 |
0.083 |
γ2,C,2 |
0.011 |
(0.026) |
(0.005) | |||
Current Period Investments |
γ1,C,3 |
0.231 |
γ2,C,3 |
0.020 |
(0.024) |
(0.006) | |||
Parental Cognitive Skills |
γ1,C,4 |
0.050 |
γ2,C,4 |
0.047 |
(0.013) |
(0.008) | |||
Parental Noncognitive Skills |
γ1,C,5 |
0.148 |
γ2,C,5 |
0.020 |
(0.030) |
(0.010) | |||
Complementarity Parameter |
φ1,C |
0.611 |
φ2,C |
-1.373 |
(0.240) |
(0.168) | |||
Implied Elasticity of Substitution |
I∕(1-Φι,c) |
2.569 |
1∕(i-Φ2,c) |
0.421 |
Variance of Shocks ηc,t |
δ21,C |
0.165 |
δ22,C |
0.097 |
(0.007) |
(0.003) | |||
The Technology of Noncognitive Skill Formation | ||||
First Stage |
Second Stage | |||
Current Period Cognitive Skills (Cross-Productivity) |
γ1,N,1 |
0.000 |
γ2,N,1 |
0.008 |
(0.025) |
0.010 | |||
Current Period Noncognitive Skills (Self-Productivity) |
γ1,N,2 |
0.649 |
γ2,N,2 |
0.868 |
(0.034) |
0.011 | |||
Current Period Investments |
γ1,N,3 |
0.146 |
γ2,N,3 |
0.055 |
(0.027) |
0.013 | |||
Parental Cognitive Skills |
γ1,N,4 |
0.022 |
γ2,N,4 |
0.000 |
(0.011) |
0.007 | |||
Parental Noncognitive Skills |
γ1,N,5 |
0.183 |
γ2,N,5 |
0.069 |
(0.031) |
0.017 | |||
Complementarity Parameter |
φ1,N |
-0.674 |
φ2,N |
-0.695 |
(0.324) |
0.274 | |||
Implied Elasticity of Substitution |
1∕(1-Φ1N |
0.597 |
1∕(i-Φ2,N) |
0.590 |
Variance of Shocks ηn,t |
δ21,N |
0.189 |
δ22,N |
0.103 |
(0.012) |
0.004 |
Note: Standard errors in parenthesis