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. Author manuscript; available in PMC: 2010 Aug 1.
Published in final edited form as: Econometrica. 2010 May 1;78(3):883–931. doi: 10.3982/ECTA6551

Table 5.

Estimates of the Technology for Cognitive and Noncognitive Skill Formation Estimated Along with Investment Equation with Linear Anchoring on Educational Attainment (Years of Schooling) Allowing for Unobserved Heterogeneity (π), Factors Normally Distributed

Panel A: Technology of Cognitive Skill Formation (Next Period Cognitive Skills)
First Stage
Parameters
Second Stage
Parameters
Current Period Cognitive Skills (Self-Productivity) γ 1,C,1 0.384
(0.022)
γ 2,C,1 0.770
(0.018)
Current Period Noncognitive Skills (Cross-Productivity) γ 1,C,2 0.071
(0.023)
γ 2,C,2 0.009
(0.005)
Current Period Investments γ 1,C,3 0.124
(0.015)
γ 2,C,3 0.049
(0.011)
Parental Cognitive Skills γ 1,C,4 0.054
(0.012)
γ 2,C,4 0.072
(0.008)
Parental Noncognitive Skills γ 1,C,5 0.368
(0.026)
γ 2,C,5 0.099
(0.016)
Complementarity Parameter ϕ 1,C 0.480
(0.109)
ϕ 2,C −0.961
(0.115)
Implied Elasticity of Substitution 1/(1–ϕ1,C) 1.925 1/(1–2,C) 0.510
Variance of Shocks ηC,t δ 2 1,C 0.151
(0.006)
δ 2 2,C 0.090
(0.003)

Panel B: Technology of Noncognitive Skill Formation (Next Period Noncognitive Skills)
First Stage Parameters Second Stage Parameters
Current Period Cognitive Skills (Cross-Productivity) γ 1,N,1 0.000
(0.020)
γ 2,N,1 0.000
(0.009)
Current Period Noncognitive Skills (Self-Productivity) γ 1,N,2 0.526
(0.032)
γ 2,N,2 0.748
(0.019)
Current Period Investments γ 1,N,3 0.021
(0.010)
γ 2,N,3 0.055
(0.015)
Parental Cognitive Skills γ 1,N,4 0.057
(0.012)
γ 2,N,4 0.000
(0.009)
Parental Noncognitive Skills γ 1,N,5 0.396
(0.031)
γ 2,N,5 0.196
(0.021)
Complementarity Parameter ϕ 1,N −0.818
(0.253)
ϕ 2,N −0.483
(0.157)
Implied Elasticity of Substitution 1/(1–ϕ1,N) 0.550 1/(1–ϕ2,N) 0.674
Variance of Shocks ηN,t δ 2 1,N 0.210
(0.012)
δ 2 2,N 0.101
(0.003)

Note: Standard errors in parenthesis