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We are interested in only a subset of these data. Table 2 reports the definitions of variables that are relevant for our analysis. We can get further insight into the data set using the summarize command. Table 3 reports the summary statistics for the data set.

Definition of the relevant variables in the data set.
Variable name Definition
country County of residence (categorical variable equal to 0, 1, ..., 9)
age Age of the woman
education Number of years of education of the woman
married Dummy variable equal to 1 if the woman is married and 0 otherwise
children Number of children that the woman has in their household
wage Hourly wage rate of the woman
lw Natural logarithm of hourly wage rate
work Dummy variable equal to 1 if the individual is in the workforce and 0 otherwise
Summary statistics of the relevant variables in the data set (using the command: .summarize age education married children wage lw work).
Variable Obs Mean Std. Dev Min Max
Age 2000 36.208 8.28656 20 59
education 2000 13.084 3.045912 10 20
married 2000 .6705 .4701492 0 1
children 2000 1.6445 1.398963 0 5
wage 1343 23.69217 6.305374 5.88497 45.80979
lw 1343 3.126703 .2865111 1.772402 3.824498
work 2000 .6715 .4697852 0 1

We are interested in modeling two things: (1) the decision of the woman to enter the labor force and (2) determinants of the female wage rate. It might be reasonable to assume that the decision to enter the labor force by a woman is a function of age, marital status, the number of children, and her level of education. Also, the wage rate a woman earns should be a function of her age and education.

The decision to enter the labor force

We can use a probit regression to model the decision of a woman to enter the labor force. The results of this estimation are reported in Table 4. However, we can use the predict command to produce some results that we can use to be sure that we understand what the regression results mean. In particular, type in the following two commands:

.predict zbhat, xb

.predict phat, p

These two commands will predict (1) the linear prediction (zbhat) and (2) the predicted probability that the woman will be in the workforce (phat). Table 5 reports the values of these two variables for observations 1 through 10.

Probit estimation of the decision to enter the labor force.
. probit work age education married children
Iteration 0: log likelihood = -1266.2225
Iteration 4: log likelihood = -1027.0616
Probit estimates Number of obs = 2000
LR chi2(4) = 478.32
Prob>chi2 = 0.0000
Log likelihood = -1027.0616 Pseudo R2 = 0.1889
work Coef. Std. Err. z P>z [95% Conf. Interval]
age .0347211 .0042293 8.21 0.000 .0264318 .0430105
education .0583645 .0109742 5.32 0.000 .0368555 .0798735
married .4308575 .074208 5.81 0.000 .2854125 .5763025
children .4473249 .0287417 15.56 0.000 .3909922 .5036576
_cons -2.467365 .1925635 -12.81 0.000 -2.844782 -2.089948
Predicted values of zbhat and phat for observations 1 through 10.
Observation zbhat phat
1 -0.68900 0.24541
2 -0.20290 0.41961
3 -0.48067 0.31538
4 -0.16818 0.43322
5 0.34859 0.63630
6 0.58758 0.72159
7 0.97357 0.83486
8 0.45978 0.67716
9 0.01799 0.50718
10 0.32628 0.62790

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Source:  OpenStax, Econometrics for honors students. OpenStax CNX. Jul 20, 2010 Download for free at http://cnx.org/content/col11208/1.2
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