errors of the estimated coefficients in parentheses). Regressor Exp Exp² Whe (1) els for 0.0401 (0.0042) (2) 0.113 (0.004) -0.000673 -0.000418 (0.000093) (0.000060) 0.00422 0.000836 (3) 0.112 (0.00197) -0.000398 (0.0000595) 0.000652

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question

Regression (1) in Table 1 estimates the effect of additional education
by regressing ln (W age) on Exp, Exp2, W ks, Ed and all the dummy
variables listed above. Does the estimated regression suggest that additional years of schooling increases the wage?

A wage equation is analysed in a balanced panel of 595 observations on heads
of households. The sample data are drawn from years 1976-1982 of a survey
of income dynamic. The equation to be estimated is
In (Wage it)
B₁ + B₂ Expit + B₂Exp²t + B₁Wksit + ß5Occit
+B6Indit +B7Southit +P8SMS Ait + BgM Sit
+B10Unionit + B11Femit + B12Edit + ß13 Blkit + Uit,
where the variables are as follows:
Exp...years of work experience,
Wks...weeks worked,
Occ...1 if blue-collar occupation, 0 if not,
Ind...1 if the individual works in a manufacturing industry, 0 if not,
South...1 if the individual resides in the south, 0 if not,
SMSA...1 if the individual resides in a Standard Metropolitan
Statistical Area (SMSA), 0 if not,
MS...1 if the individual is married, 0 if not,
Union...1 if the individual wage is set by a union contract, 0 if not,
Fem...1 if the individual is female, 0 if not,
Ed...years of education,
Blk...1 if the individual is black, 0 if not.
Note that variables Fem, Ed and Blk are time invariant (i.e. constant) in
the sample. The average number of years of experience in the sample is 19.
Transcribed Image Text:A wage equation is analysed in a balanced panel of 595 observations on heads of households. The sample data are drawn from years 1976-1982 of a survey of income dynamic. The equation to be estimated is In (Wage it) B₁ + B₂ Expit + B₂Exp²t + B₁Wksit + ß5Occit +B6Indit +B7Southit +P8SMS Ait + BgM Sit +B10Unionit + B11Femit + B12Edit + ß13 Blkit + Uit, where the variables are as follows: Exp...years of work experience, Wks...weeks worked, Occ...1 if blue-collar occupation, 0 if not, Ind...1 if the individual works in a manufacturing industry, 0 if not, South...1 if the individual resides in the south, 0 if not, SMSA...1 if the individual resides in a Standard Metropolitan Statistical Area (SMSA), 0 if not, MS...1 if the individual is married, 0 if not, Union...1 if the individual wage is set by a union contract, 0 if not, Fem...1 if the individual is female, 0 if not, Ed...years of education, Blk...1 if the individual is black, 0 if not. Note that variables Fem, Ed and Blk are time invariant (i.e. constant) in the sample. The average number of years of experience in the sample is 19.
Table 1: Results for estimating regression models for fatalities (standard
errors of the estimated coefficients in parentheses).
Regressor
Exp
Exp²
Wks
Осс
Ind
South
SMSA
MS
Union
Ed
Fem
Blk
Individual Effects
Time Effects
R²
(1)
Regression Effects
(2)
(3)
(3)
0.0401
(0.0042)
0.00422
(0.00152)
-0.000673 -0.000418
(0.000093)
(0.000060)
-0.140
(0.027)
0.0468
(0.0230)
-0.0557
(0.0253)
0.152
(0.024)
0.0484
(0.0384)
0.0926
(0.0243)
0.0567
(0.0052)
-0.368
(0.049)
-0.167
(0.045)
No
No
0.429
(2)
0.113
(0.004)
Fixed effects
Fixed effects
Year effects
0.000836
(0.000685)
-0.0215
(0.0147)
0.0192
(0.0140)
-0.0019
(0.0413)
-0.0425
(0.0196)
-0.0297
(0.0150)
0.0328
(0.0198)
I
Yes
No
0.891
0.112
(0.00197)
F statistic
38.2
36.2
48.2
-0.000398
(0.0000595)
0.000652
(0.000684)
-0.0192
(0.0151)
0.0206
(0.0140)
Table 2: Tests for joint significance of effects (null hypothesis: coefficients
on effects are jointly zero).
0.00314
(0.0415)
-0.0423
(0.0189)
-0.0284
(0.0146)
0.0299
(0.0195)
Yes
Yes
0.892
p value
<0.0001
<0.0001
<0.0001
Transcribed Image Text:Table 1: Results for estimating regression models for fatalities (standard errors of the estimated coefficients in parentheses). Regressor Exp Exp² Wks Осс Ind South SMSA MS Union Ed Fem Blk Individual Effects Time Effects R² (1) Regression Effects (2) (3) (3) 0.0401 (0.0042) 0.00422 (0.00152) -0.000673 -0.000418 (0.000093) (0.000060) -0.140 (0.027) 0.0468 (0.0230) -0.0557 (0.0253) 0.152 (0.024) 0.0484 (0.0384) 0.0926 (0.0243) 0.0567 (0.0052) -0.368 (0.049) -0.167 (0.045) No No 0.429 (2) 0.113 (0.004) Fixed effects Fixed effects Year effects 0.000836 (0.000685) -0.0215 (0.0147) 0.0192 (0.0140) -0.0019 (0.0413) -0.0425 (0.0196) -0.0297 (0.0150) 0.0328 (0.0198) I Yes No 0.891 0.112 (0.00197) F statistic 38.2 36.2 48.2 -0.000398 (0.0000595) 0.000652 (0.000684) -0.0192 (0.0151) 0.0206 (0.0140) Table 2: Tests for joint significance of effects (null hypothesis: coefficients on effects are jointly zero). 0.00314 (0.0415) -0.0423 (0.0189) -0.0284 (0.0146) 0.0299 (0.0195) Yes Yes 0.892 p value <0.0001 <0.0001 <0.0001
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