Estimating the Technology of Cognitive and Noncognitive Skill Formation



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



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