Estimating the Technology of Cognitive and Noncognitive Skill Formation



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
Parameters

Second Stage
Parameters

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
Parameters

Second Stage
Parameters

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



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