Method and results
Method
We use the standard approach to decomposing
pay disparities in the literature, as introduced by
Oaxaca (1973) and Blinder (1973). This involves
initially estimating, separately, the wage models
for two ethnic groups. These are labelled in the
following equations as group 1 and group 2.
ln(w )= β1 X + ε
(1)
ln(w )= β2 X + ε
(2)
In the above wage models, the I subscript refers
to the ith wage earner, w stands for hourly
wages, X is the vector of explanatory variables
(as shown in Table 1). The outcome in the wage
models is the natural logarithm of usual hourly
wages. The ethnic pay gap is calculated in (3) and
decomposed in (4):
ln (w1) – ln (w2) = β1X1 – β2X2
(3)
ln (w1) – ln (w2) = β1X1 – X2) + (β1 – β2) X2
(4)
Based on the decomposition shown in (4), the first
part of the right-hand side is the component of the
ethnic pay gap that can be explained by differences
in average characteristics of the two ethnic groups.
This is essentially the ‘explained’ component of the
pay gap, and as will be shown in the results, this
can be further broken down to the contribution of
each of the domains in Table 1.
The second part of the right-hand side of equation
(4) is the component of the ethnic pay gap that
is left unexplained. This equates to differences
in the returns to characteristics in the labour
market. Why are there unexplained differences?
There are several possible reasons. These include:
(i) unobserved differences in characteristics not
captured in the current data; (ii) ethnic differences
in the non-pecuniary elements of jobs; (iii)
discriminatory behaviour; (iv) unconscious bias, etc.
A recognised issue in the literature in
implementing decompositions is whether the
estimated β coefficients used to weight the
explained part of the model should relate to
Europeans or to the comparator ethnic group,
or be estimated from a pooled regression of all
workers (i.e. both ethnic groups). The choice of
which weights to use can lead to substantive
variations in results. We choose to use the
estimated β coefficients from a pooled regression
as weights, which requires less strict assumptions
over the alternative choices regarding the
counterfactual wage structure.
Another often acknowledged issue in the
literature with the Oaxaca-Blinder approach is
that it may suffer from sample selection bias
(Heckman, 1979), as wages are only available for
employed individuals. Since the decision to enter
the labour market is systematically linked to the
wages an individual is likely to receive, by omitting
non-employed from the analysis, we may bias our
results. Therefore, to correct for sample selection
bias we apply the Heckman procedure and do this
for both ethnic groups.
The following variables are used in the Heckman
selection model; individual characteristics (age,
born in NZ); educational attainment (6 dummy
variables); regional council (12 dummy variables);
and household characteristics (sole parent,
partnered, number of dependent children
and the income decile of the household). The
variables included in the main model are all
those illustrated in Table 1, except for household
characteristics. Household characteristics are
excluded to allow identification of the Heckman
selection model.
Empirical analysis of Pacific, Māori and ethnic pay gaps in New Zealand
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