Schooling is endogenous in Mincer's model because of the
violation of the first hypothesis. According to Bhatti (2012), the
violation of Hypothesis (1) is obvious because different people
cannot be the same with respect to some of their unobservable
characteristics from different sources like social environment,
location and family background, etc. For example, aptitude can be
seen as a determinant of wages in the labour market and on the
other hand, it can also be correlated with education. In other
words, the more capable people tend to achieve a higher level of
education and these same people are likely to be more productive
in their jobs and therefore they will be better paid. Since aptitude
is an unobserved variable, education will be correlated with the
error term of the wage equation and the resulting coefficients will
be biased. In such a situation, the application of OLS does not
lead to having the true estimators and the inferences under these
conditions will be false.
Selection bias: Heckman's two-step model (1979)
The selection bias arises from the fact that the wage is observed
only on economic agents with a job. So, there could be some
common factors that explain their situation. Estimating a salary
equation under these conditions, without taking this selection into
account, leads to having biased parameters. To correct for such a
bias, we have recourse to the selection model of [13]. The choice
of the two-step selection model is in line with that made
previously to model vulnerability and income [14]. In this model,
we only correct the endogeneity of schooling by using an
instrument constructed as the average of the years of schooling
validated by stratum. This new variable is exogenous and allows
for better results. The estimated equation is as follows:
Yi = ? + ?1IVEB + ?2IVEB2 + ?Xi + ?E + ?i
With: Y the natural logarithm of the wage; ? the constant term; X a set of variables; E the average
of the years of schooling
validated by stratum and ?i, the error term.
Correction of
the endogeneity of the IVEB and of the schooling:
estimator of IV2SLS (Instrumental Variables
Two least Squares)
In this second estimate, we are only interested in the endogeneity of the two variables that are the IVEB and
education. As in the previous case,
we maintain the schooling instrument and we use the approach proposed to avoid an endogeneity bias [15]. This approach known as IV2SLS is a two-step
process. First, we do a regression of
the endogenous variable, which here is the IVEB, on all the instruments and the exogenous variables of the model.
In the second step, the salary equation
is estimated by regression replacing the IVEB with its predicted values obtained from the estimate in the first step. The equation
we estimate looks like this: [16-30].
Yi = a + b1IVEBP + b2IVEBP2 + ?Xi + cE + vi
With: Y the natural logarithm of the wage; has the constant term; IVEBP the predicted value of IVEB; X a set
of variables; E the average of the
years of schooling validated by stratum and vi, the error term.
Table 3: Summary of
vulnerability indicators.
|
Indicators/ Binary
Variables
|
Definitions
|
|
|
|
|
Working conditions
|
|
|
Standing
|
Work requires
long periods of standing
|
|
Noise
|
Exposure to
noise is a problem at work
|
|
Load
|
The work requires carrying heavy loads
|
|
Fume
|
Exposure to fumes
in the workplace
|
|
Toxic products
|
Exposure to
hazardous products
|
|
Work accident
|
Exposure to traffic accidents
|
|
Injuries
|
Exposure to the risk of injury at work
|
|
Infectious risks
|
Exposure to
infectious risks at work
|
|
|
|
|
Social working environment
|
|
|
|
|
|
Verbal aggression
|
Exposure to
verbal abuse
|
|
Physical assault
|
Exposure to physical assault
|
|
Discrimination
|
Have suffered discrimination
|
|
Sexual harassment
|
Have experienced sexual
harassment
|
|
|
|
|
Employment Security
|
|
|
|
|
|
Paid vacation
|
Not benefiting from
paid vacation
|
|
Pension rights
|
Not benefit from
pension rights
|
|
Source author
on EMICoV (2015) data
|
Simultaneous correction of endogeneity and selection biases
In this last estimate, we correct for both biases simultaneously. To do this, we use the IV2SLS estimator
described above with the addition of
the inverse of the Mills ratio to correct for selection bias. Ultimately, the IVEB is instrumented by its predicted
values, schooling by the averages of years of schooling validated by stratum and finally the selection bay
is corrected by the inverse of the Mills ratio. This inverse is obtained from the estimation of a Probit model of labour market participation. The estimated equation
is as follows:
Yi = m + c1IVEBP + c2IVEBP2 + ?Xi + c3E + c4IRM + Wi
With: Y the natural logarithm of the wage; m the constant term; IVEBP the predicted
value of IVEB; X a set of variables; E the average of the years of schooling validated by stratum; MRI the inverse
of the Mills ratio and wi, the
error term.
Robust results
We adopted a sequential estimation approach in order to compare the results and thus test the robustness of the effects.
Hypothesis of the existence
of compensating differences
The objective is to test the hypothesis of compensating differences. Indeed, according to the theory of compensatory differences, vulnerable work therefore associated with poor working conditions will be rewarded by an
overvaluation of its remuneration. The wage differential paid compared to its equilibrium level then appears as a
compensation that the firm pays to the employee. To test the hypothesis of the existence of compensating differences, we adopted a method which is similar to that used previously.
The data
The main objective
of the Integrated Modular Survey on Household Living Conditions (EMICoV) is to
set up the bases for a permanent
mechanism for monitoring and evaluating household living conditions in general and the poverty reduction program
in particular. The specific objectives of this survey are, among others,
the study of monetary poverty, the study of poverty in terms of living conditions, the study of subjective poverty, the determination of the level of unemployment in Benin and its determinants, measuring the extent of land conflicts in Benin, etc. Benin has 12 departments and each
department is considered as an area of study where all the key
indicators of the survey will be provided.
A sample allocation specific to each department was applied. The allocation of each department was then distributed proportionally among the municipalities and according to the urban and rural environment. This corresponds to a stratification at the level of municipalities and by urban and rural
environment. The EMICoV-2015 survey
effectively reached 21,402 households in 920 enumeration areas. Table 4 presents description of variables (Table 4).
Table 4: Description of
the variables.
|
Variables
|
Definition
|
Means
|
Standard deviation
|
Minimum
|
Maximum
|
|
Experience
|
Main job
experience
|
12.99
|
10.00
|
0
|
50
|
|
Education
|
Number of years
of education validated
|
2.92
|
1.90
|
0
|
14
|
|
Wage
|
Salary in main
job in local currency unit
|
49.23
|
41.31
|
15
|
435
|
|
Hours
|
Number of working hours
|
40.39
|
16.32
|
6
|
90
|
|
Sex
|
Sex of individual Reference: female
|
-
|
-
|
0
|
1
|
|
Work
|
Continuous versus occasional work. Reference: continuous
|
-
|
-
|
0
|
1
|
|
Informal
|
Informal versus
formal business
|
-
|
-
|
0
|
1
|
|
Sector
|
Activity sector Reference: agricultural sector
|
|
|
1
|
4
|
|
Population
|
|
|
|
16827
|
|
Source: Author
on EMICoV (2015)
data
|
|
Standard errors in parenthesis *** p<0.01, ** p<0.05, * p<0.1
|