Table 3
The Technology for Cognitive and Noncognitive Skill Formation
Not Correcting for Measurement Error
Linear Anchoring on Educational Attainment (Years of Schooling)
No Unobserved Heterogeneity (π), Factors Normally Distributed
Panel A: Technology of Cognitive Skill Formation (Next Period Cognitive Skills)
First Stage |
Second Stage | |||
Parameters |
Parameters | |||
Current Period Cognitive Skills (Self-Productivity) |
γ1,C,1 |
0.403 |
γ2,c,1 |
0.657 |
(0.058) |
(0.013) | |||
Current Period Noncognitive Skills (Cross-Productivity) |
γ1,C,2 |
0.218 |
γ2,c,2 |
0.009 |
(0.105) |
(0.005) | |||
Current Period Investments |
γ1,C,3 |
0.067 |
γ2,c,3 |
0.167 |
(0.090) |
(0.018) | |||
Parental Cognitive Skills |
γ1,C,4 |
0.268 |
γ2,c,4 |
0.047 |
(0.078) |
(0.009) | |||
Parental Noncognitive Skills |
γ1,C,5 |
0.044 |
γ2,c,5 |
0.119 |
(0.050) |
(0.150) | |||
Complementarity Parameter |
φ1,C |
0.375 |
φ2,c |
-0.827 |
(0.294) |
(0.093) | |||
Implied Elasticity of Substitution |
1∕(1-Φi,c) |
1.601 |
I∕(l-Φ2,c) |
0.547 |
Variance of Shocks ηC,t |
δ21,C |
0.941 |
δ22,c |
0.358 |
(0.048) |
(0.006) |
Panel B: Technology of Noncognitive Skill Formation (Next Period Noncognitive Skills)
First Stage |
Second Stage | |||
Parameters |
Parameters | |||
current Period cognitive Skills (cross-Productivity) |
γ1,N,1 |
0.193 |
γ2,N,1 |
0.058 |
(0.095) |
(0.014) | |||
current Period Noncognitive Skills (Self-Productivity) |
γ1,N,2 |
0.594 |
γ2,N,2 |
0.638 |
(0.090) |
(0.020) | |||
current Period Investments |
γ1,N,3 |
0.099 |
γ2,N,3 |
0.239 |
(0.296) |
(0.031) | |||
Parental cognitive Skills |
γ1,N,4 |
0.114 |
γ2,N,4 |
0.065 |
(0.055) |
(0.015) | |||
Parental Noncognitive Skills |
γ1,N,5 |
0.000 |
γ2,N,5 |
0.000 |
(0.821) |
(0.203) | |||
complementarity Parameter |
φ1,N |
-0.723 |
φ2,N |
-0.716 |
(0.441) |
(0.127) | |||
Implied Elasticity of Substitution |
1∕(1-Φi,n) |
0.580 |
1∕(1-Φ2,n) |
0.583 |
Variance of Shocks ηN,t |
δ21,N |
0.767 |
δ22,N |
0.597 |
(0.076) |
(0.017) |
Note: Standard errors in parenthesis