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179
GENDER WAGE
DIFFERENTIALS
IN THE FINNISH
LABOUR
MARKET
Juhana Vartiainen
PALKANSAAJIEN TUTKIMUSLAITOS ••TYÖPAPEREITA
LABOUR INSTITUTE FOR ECONOMIC RESEARCH •• DISCUSSION PAPERS
Helsinki 2002
179
GENDER WAGE
DIFFERENTIALS
IN THE FINNISH
LABOUR
MARKET
Juhana Vartiainen
ISBN 952−5071−67−7
ISSN 1457−2923
Gender wage differentials in the Finnish labour
market∗
Juhana Vartiainen
March 4, 2002
Abstract
A comprehensive analysis of the gender wage differential among Finnish full time
employees is reported. Oaxaca decompositions show that the the overall wage gap of
about 21.5 per cent cannot be accounted for by individual characteristics, since age and
educational qualications are rather similar for men and women. When industry and occu-
pational qualications are included in the regressor matrix, the unexplained part shrinks to
about 50 per cent of the gross differential. An even larger part of the gross differential can
be explained in sector-specic analyses with a dense set of occupational dummies. In a
less standard part of the analysis, we characterise the distribution of the unexplained wage
gap across the variable space. It turns out the women with a high wage predictor, that is,
women with good educational qualications in well-remunerated occupations, drag the
most behind their male colleagues endowed with similar characteristics. JEL numbers
J31, J70, J71.
Tiivistelmä
Sukupuolten palkkaero on kokopäiväisten palkansaajien parissa noin 20 prosenttia eli
naiset ansaitsevat osapuilleen neljä viidesosaa miesten ansioista. Artikkelissa analysoidaan
taloustieteen keinoin tätä palkkaeroa. Se on yhteenveto laajemmasta tutkimusraportista
∗
This paper summarises some results of the project “Measuring and monitoring gender wage differentials in
the Finnish labour market”, commissioned by the Ministry of Social Affairs and Health and carried out by the
author. The objective of the project was to present a comprehensive survey of the gender wage differential in the
Finnish labour market as well as to suggest statistical procedures that could be used for a more regular monitoring
of the gender wage gap. A longer report in Finnish (55 pages of main text plus a 249-page statistical annex) is
available (see Vartiainen (2001)). In that report, a more comprehesive set of sector-specic statistics is presented.
I am grateful to Equality Ombudsman Pirkko Mäkinen and Research Ofcer Anita Haataja for sponsoring and
supporting this research. I am grateful to Reija Lilja for useful comments. I also want to thank the various
employers’ organisations who made possible the use of their sector-specific wage databases, as well as Statistics
Finland, whose co-operation has been primordial. Any errors or weaknesses are my own, of course. Author’s
afliation and e-mail: Labour Institute for Economic Research, Helsinki. juhana.vartiainen@labour.
3
(Vartiainen 2001), jonka pyrkimyksenä oli kartoittaa kattavasti sukupuolten palkkaeroa
Suomessa sekä ehdottaa tilastointi- ja seurantatapoja, jolla tätä eroa voitaisiin vastaisuu-
dessa seurata. Tulokset osoittavat, että mainitusta 20 prosentin palkkaerosta selittyy pois
noin puolet, jos selittäjinä käytetään henkilÜkohtaisia muuttujia sekä toimialoille ja am-
mattiryhmiin valikoitumista. Sukupuolten välillä ei ole merkittävää eroa iässä ja koulutuk-
sessa, joten palkkaeron selittyvä osa perustuu toimiala- ja ammattiryhmävalikoitumiseen.
Samanlainen hajoitelma lasketaan myĂśs talouden viidelle sektorille (palvelutyĂśnantajat,
teollisuuden tuntipalkkaiset, teollisuuden kuukausipalkkaiset, kunnat, valtio) erikseen.
Tulokset osoittavat, että julkisyhteisöjen parissa toteutuu pitkälti “sama palkka samasta
työstä” -periaate, ja lopullinen palkkaero syntyy lähes kokonaan naisten ja miesten am-
mattiryhmävalikoitumisen kautta.
Teollisuuden piirissä ammatteihin valikoituminen ei ole yhtä merkittävä sukupuolten
palkkaeron taustatekijä, mutta iän palkkaa nostava vaikutus on naisilla selvästi vähäisempi
kuin miehillä.
Artikkelissa tarkastellaan myÜs selittymättÜmän palkkaeron jakautumista eri palkkata-
soille. SelittymätÜn palkkakaula on suurempi korkean palkkatason tehtävissä kuin matala-
palkkatehtävissä. Sukupuolten ammatillista segregoitumista kuvaavat indeksit osoittavat
segregoitumisen hidasta heikkenimistä.
4
Contents
1 Introduction 6
2 Data 6
3 The Oaxaca decomposition 7
3.1 Denition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
3.2 Results for all employees . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
3.3 Results for specic sectors . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
4 The distribution of the unexplained gap 16
5 Educational groups 20
6 A note on segregation 21
7 Concluding remarks 22
5
1 Introduction
This paper presents the most important stylised facts about the gender wage differential in the
Finnish economy. We characterise the differential in two ways. The rst is a standard one: we
use an Oaxaca decomposition (see Oaxaca (1973)) of the log of the monthly wage and present
the decomposition results. The results are presented both with and without an occupational
dummy variable, and, in both cases, using both the male and female parameter estimates as the
reference structure. The estimates are based on a 20 per cent sample of the Earnings Database
(“palkkarakennetilasto”) produced and maintained by Statistics Finland. This database covers
almost the entire salaried workforce of the economy. Our study concerns the wages of full-time
workers and employees.
The rst decompositions exploit the entire sample. The data are then decomposed into sub-
sets: service sector, manufacturing (salaried employees and wage earners paid by the hour are
treated separately), local government and central government. Oaxaca decomposition results
are presented for these subsets as well.
The second set of results is more original. The Oaxaca decomposition reveals the average
unexplained wage gap between sexes but nothing about its distribution. Yet, from the point of
view of society’s welfare and gender equality, it is quite interesting to ask how that unexplained
wage gap is distributed in different parts of the variable space. Most studies of the wage
differential do not appreciate this point, with the exception of Stephen Jenkins who has in an
interesting way applied the ideas familiar from the theory of income distribution to the study
of group differentials (see Jenkins (1994)). However, since the aim of this paper is to get out
the most important stylised facts, we adopt a far simpler procedure, described in more detail
in section 4.
2 Data
We exploit the Earnings Structure Database maintained by Statistics Finland. It is based on a
compilation of wage registries kept by various employer organisations and comprises about 1.3
million wage-earners. The variables include a detailed breakdown of earnings variables plus
background variables like age and schooling, together with industrial sector and occupational
dummies. We sampled a 20 per cent subset of that database, so that the probability of selection
into the sample was proportional to the sampling weight used by Statistics Finland; by these
means, we sought to emulate simple random sampling as fully as possible.
The variable of interest is monthly wage income as computed by Statistics Finland. That
variable has been computed by dividing all wage and salary incomes of the individual by
his/her total working hours, both measured under a month. The aim has been to include all
such wage items that have some continuity: the base wage, extras and bonuses based on work-
ing conditions, eventual extra pay due to overtime and the value of perks. Similarly, the de-
nominator was an estimated total labour input as measured in time units.
6
We excluded all part-time employees from our analysis. This was motivated by the will
to compare men and women who would be as similar as possible. The inclusion of part-time
work would point the way to another kind of analysis in which the differential labour supply
decisions of men and women would play a more central role.
3 The Oaxaca decomposition
3.1 Denition
The Oaxaca decomposition was presented in (Oaxaca, 1973), and we follow his procedure. If
the male and female geometric mean wages are denoted by WM and WF , we can decompose
the log-differential of geometric means as follows:
∆ ≡ log(WM /WF ) = (log(WM ) − logW0F ) + (log(W0F ) − logWF ), (1)
in which we denote by W0F a hypothetical distortion-free or discrimination-free mean wage
for women. Furthermore, we can summarise the variation in the male and female wage cross
section samples by using the following commonplace statistical models:
wi,m = Xi
βM
+ i (2)
and
wj,f = Xj
βF
+ j (3)
in which wi,m is the log wage of man i and wj,f is the log wage of woman j, βM
and βF
are
the coefcients that determine the effect of characteristics on pay and the Xi
and Xj
are the
vectors of characteristics of man i and woman j. Taking the arithmetic average of equations
(2) and (3), the stochastic -terms drop away. Designating arithmetic mean by an underlined
variable, we have
wm = XM
βM
(4)
and
wf = XF
βF
, (5)
which simply says that mean wages are predicted by using mean characteristics. Since w is
the mean of the log, it is the log of the geometric mean W. We can then plug equations (4) and
(5) into (1) to obtain:
∆ = (XM
− XF
)βM
+ XF
(βM
− βF
). (6)
7
Thus, the gross differential ∆ is decomposed into the effect of differences in average char-
acteristics (the first term) and the effect of different treatment (or different “pricing”) of char-
acteristics. In this paper, we shall speak of the contribution of different characteristics on the
one hand and of the unexplained differential or “differential pricing” effect on the other.
The literature often speaks roughly of the latter part as “discrimination”, but this is a du-
bious usage of words. The unexplained part contains the effects of all those variables that are
not part of the X-matrix; economic theory suggests many ways in which unobserved variables
may be differently distributed across men and women and may thereby contribute to the wage
differential as well. If there is outright discrimination in wage-setting, it is probably a part of
the unexplained component.
In the above decomposition, we implicitly chose the male coefcient vector as a reference
structure with which we evaluated (i.e. “priced”) the contribution of the differences in char-
acteristics. We could equally well choose the female wage structure and get the analogous
decomposition
∆ = (XF
− XM
)βF
+ XM
(βF
− βM
). (7)
In the subsequent literature, it has been emphasised that there is in general no unambiguou-
osly best way to choose the reference wage structure (this is really an index number problem).
Ideally, if we knew a “right”, discrimination-free structure β, we should use it to evaluate the
effect of differences in characteristics. Some authors use the coefcients estimated from the
pooled sample (without female dummy) as the reference structure.
More generally, the reference structure can be chosen as a matrix weighted average of the
male and female β-vectors (see Oaxaca and Ransom (1994)). The choice of the weighting
matrix should be guided by economic theory, but the literature on this issue is still quite rudi-
mentary. We have therefore chosen simply to present the computations using both male and
female coefcients as reference. The advantage of this procedure is that it enables a clear
interpretation: using the male (female) structure as reference and computing the effect of dif-
ferent characteristics yields an answer to the question “how much would remain of the gross
differential if women (men) were treated as men (women) with similar characateristics?”.
Note that the above decompositions can be expanded to yield the contributions of each
single regressor: how much of the gross differential is due to the gender difference in means
of the regressor and how much is due to differential pricing of the regressor. This interpre-
tation runs into trouble when we include categorical variables in the regressor matrix X. As
is shown in Oaxaca and Ransom (1999), the presence of categorical variables implies that the
unexplained part (i.e. the “differential pricing”) part of each categorical variable cannot be
uniquely determined. This is intuitively clear, since the regression of wages on categorical
variables implies a choice of a reference group, and the results of the Oaxaca decomposition
are not independent of this choice. The combined “differential pricing” contribution of all the
within-cell unexplained gaps can be uniquely computed, however, and we shall report that in
our tables.
8
Table 1: Decomposition for 1998, male reference coefcients.
Variable Difference in characteristics Differential pricing Sum
constant n.u n.u
temporary .0047 n.u n.u
education .0135 n.u n.u
employer size .0028 n.u n.u
constant plus selection .0209 .2163 .2372
age in years -.0416 -.1788 -.2204
age squared .0268 .1543 .1811
n. of children under 18 .0017 .0198 .0215
n. of children under 7 -.0003 -.0008 -.0011
Sum total .0074 .2109 .2148
st.dev .0016 .0015 ass=0
Table 2: Decomposition for 1998, female reference coefcients.
Variable Difference in characteristics Differential pricing Sum
constant n.u. n.u.
temporary .0032 n.u n.u
education -.0025 n.u n.u
employer size .0017 n.u n.u
constant plus selection .0025 .2348 .2372
age in years -.0489 -.1715 -.2204
age squared .0379 .1432 .1811
n. of children under 18 -.0015 .023 .0215
n. of children under 7 .0001 -.0012 -.0011
Sum total -.0099 .2282 .2148
st.dev .0013 .0014 ass=0
3.2 Results for all employees
The decompositions were computed for years 1996 through 1998. We focus on the last year,
since the results for years 1996 and 1997 are largely similar. The following four tables display
the results of decomposition (6) for year 1998. The rst two tables are based on a regression
matrix X that contains the personal characteristic variables age and education as well as the
employer size.
9
The tables are read as follows. The cell at the low-end right-end corner (at the intersection
of row “Sum total” and column “Sum” tells the gross log wage differential (21.48 in Table 1,
for example). The two entries on the same row display the two terms of decomposition (6); the
rst one is the effect of differences in characteristics and the second one is the unexplained or
differential pricing component. The other rows above that nal row tell the same information
for different variables. The rst group of variables (above the rst horizontal double line)
is the group of categorical variables. For those ones, one can only compute the effect of the
difference in means in an unambiguous way; the pricing effect is reported as the aggregate sum
of the within-cell unexplained gaps (the abbreviation “n.u” stands for “not unique”). This is
reported on the row “constant plus selection”. The second group of variables are the continuous
ones: age, age squared and the number of children. Finally, the row “Sum total” adds up all
the contributions.
Tables 1 and 2 make it clear that personal characteristics plus rm size do not go far in
explaining the wage differential. Of the overall differential of 21.5 percentage points, almost
nothing is explained by differences in individual characteristics and employer size. Almost
all of the wage differential is due to a constant term that we cannot allocate to any specic
categorical variable.
The next two tables 3 and 4 show the analogous results when an occupational variable1
plus a sector variable2
(“industry”) are added to the regressor matrix. We see now that about
half of the gross wage differential can be accounted for by different endowments when male
coefcients are used, and about one third when female coefcients are used. The tables show
that the “industry” variable and the “occupation” variable together generate the explained part
of about 10 percentage points.
1
This is the “isco” -variable produced and used by Statistics Finland.
2
The “nace” variable of Statistics Finland.
10
Table 3: Decomposition for 1998, male reference coefcients.
Variable Difference in characteristics Differential pricing Sum total
constant n.u n.u
temporary .0029 n.u n.u
occupation .0522 n.u n.u
industry .0582 n.u n.u
education .0097 n.u n.u
employer size .0028 n.u n.u
constant plus selection .1258 .0526 .1784
age in years -.0344 .0072 -.0272
age squared .0236 .0267 .0503
n. of children under 18 .0013 .0141 .0154
n. of children under 7 -.0005 .0007 .0002
Sum total .1158 .1013 .2145
st.dev .0029 .0029 ass=0
Table 4: Decomposition for 1998, female reference coefcients.
Variable Difference in characteristics Differential pricing Sum total
constant n.u. n.u.
temporary .0027 n.u n.u
occupation .0461 n.u n.u
industry .0328 n.u n.u
education .0016 n.u n.u
employer size .001 n.u n.u
constant plus selection .0842 .0942 .1784
age in years -.0341 .0069 -.0272
age squared .0255 .0248 .0503
n. of children under 18 -.0009 .0163 .0154
n. of children under 7 -.0009 .0011 .0002
Sum total .0739 .1432 .2145
st.dev .0026 .0027 ass=0
We also see that only age, industry and occupation play a role in the generation of the
gender wage differential. The differential treatment effect of children accounts for a couple
of percentage points; thus, children lead to a somewhat higher wage handicap for women, but
this effect is quite weak in comparison with other effects.
11
Table 5: Decomposition for 1998, private services.
Variable Difference in characteristics Differential pricing Sum
constant n.u n.u
temporary .0016 n.u n.u
occupation (detailed) .1467 n.u n.u
industry .0204 n.u n.u
education .0137 n.u n.u
employer size -.0038 n.u n.u
constant plus selection .1786 -.0292 .1494
share of extra hours .0027 -.0028 -.0001
age in years -.0533 .1201 .0668
age squared .0358 .0038 .0396
n. of children under 18 .002 .0195 .0215
n. of children under 7 -.0011 -.0015 -.0026
Sum .1647 .1099 .2724
st.dev .0063 .0061 ass=0
3.3 Results for specic sectors
The following tables exhibit similar decompositions for ve subsets of the salaried labour
force3
:
- private service sector;
- salaried employees of the manufacturing industry (monthly pay)
- wage earners of the manufacturing industry (pay by hour)
- local government workers
- central government workers.
To save space, we report only those computations that used male reference coefcients and
included the widest set of explanatory variables. In particular, it should be emphasised that the
estimations on which the following tables are based included a sector-specic occupational
classication which is in general denser than the general occupational classication used for
the estimates reported for the entire workforce.
Furthermore, the number of occupational classes varies from sector to sector; it is very
large for local and central government workers, fairly large for manufacturing wage-earners
and private service sector employees and quite low for manufacturing salaried employees. As
expected, this is reflected in the share of the gender wage differential that can be ascribed to
differential endowments4
.
3
In the data base, these subsets are formed by the institutional affiliation of the person’s employer. The Finnish
designations for these groupings are “Palvelutyönantajat”, “Teollisuuden kuukausipalkkaiset”, “Teollisuuden tun-
tipalkkaiset”, “Kunnat”, “Valtio”.
4
Thus, as was already emphasised by Ronald Oaxaca in his original contribution of Ronald Oaxaca (1973),
the use of occupational dummies is controversial. In the limit, as all individuals have a somewhat unique job, we
could explain away the entire wage differential by occupational categories.
12
Table 6: Decomposition for 1998, manufacturing, salaried employees.
Variable Difference in characteristics Differential pricing Sum
constant n.u n.u
temporary .0035 n.u n.u
occupation (detailed) .1121 n.u n.u
industry -.0047 n.u n.u
education .0437 n.u n.u
employer size -.0016 n.u n.u
constant plus selection .1529 -.0393 .1137
share of extra hours .0071 -.0011 .006
age in years .0158 .1318 .1476
age squared -.0122 .0349 .0227
n. of children under 18 .0021 .0191 .0212
n. of children under 7 -.0006 -.0007 -.0013
work experience -.001 .0081 .0071
Sum .1643 .1529 .3172
st.dev .0078 .0078 ass=0
Table 7: Decomposition for 1998, manufacturing, wage earners.
Variable Difference in characteristics Differential pricing Sum
constant n.u n.u
temporary -.001 n.u n.u
occupation (detailed) .0233 n.u n.u
industry .0225 n.u n.u
education .0048 n.u n.u
employer size -.0041 n.u n.u
constant plus selection .0454 -.0853 -.0399
share of extra hours .0178 -.0035 .0143
age in years -.042 .3393 .2973
age squared .0408 -.1735 -.1327
n. of children under 18 .0004 .0047 .0051
n. of children under 7 .0004 .0013 .0017
work experience .0021 .0061 .0082
Sum .0649 .0892 .1498
st.dev .0025 .0026 ass=0
The results of tables (5) through (9) can be summarised as follows. The gross wage dif-
ferential is lowest among manufacturing workers and local government workers (just under 20
per cent and just over 20 per cent, respectively). It is highest for the salaried manufacturing
employees (over 30 per cent). The central government personnel and the employees of private
service sector rms occupy the middle ground, with a differential around 25 per cent.
13
In these sector-specic computations, we have had to discard some observations that be-
long to the smallest and most segregated occupational categories, since no reliable statistical
inference is possible if a cell contains only a couple of female or a couple of male obser-
vations5
. This truncation of the data has a different effect in different sectors. Deleting the
smallest and most segregated occupational categories leads to a large drop in the gender differ-
ential of manufacturing wage-earners; as is apparent from table 7, the gross wage differential is
as low as 15 per cent. Thus, the most segregated occupational categories tend to be populated
by high-earning males and low-earning females. Among the local government workers, this
truncation has the opposite effect of increasing the gross wage differential. Small and segre-
gated occupational categories tend there to include female with high earnings and males with
low earnings.
The tables indicate that segregated occupational categorisation explains away most of the
wage differential in the case of local and central government employees. In both cases, 80 to
90 per cent of the gross differential is explained by differences in the means of the regressors,
and segregation into different occupations is in turn responsible for about 4/5 of that effect
(see the entry at the intersection of row “occupational category” and column “Difference in
characteristics” in tables 8 and 9: it is of the order of 15 percentage points in both sectors).
The effect of differential treatment of age is quite limited.
The picture is somewhat different amongst the manufacturing industries employees and
workers. There, the share of the gross wage differential that can be explained away by differ-
ent characteristics is in general lower, about half of the gross differential for salaried employees
and about a third of the gross differential for workers. A closer look at tables 6 and 7 reveals
that the effect of differential selection into occupational categories is much lower in manufac-
turing than in the public sector ; it only contributes a couple of percentage points among wage
earners and about 10 percentage points among salaried employees. The effect of differential
treatment of age, by contrast, is an important factor: by itself, it creates an unexplained wage
differential of about 16 percentage points in both subsets of manufacturing personnel. Note
also that the sum of unexplained mean gaps (see the entry at the intersection of row “constant
plus selection” and column “Differential pricing” in tables 6 and 7) is negative. Thus, within
occupational categories, manufacturing rms tend to pay more or less the same to young peo-
ple, but the accruing of age leads to a widening gap between senior males and senior females.
Finally, for the employees of private service sector rms (see table 5) , the occupational
variable is also quite important: segregated selection into occupations generates a wage differ-
ential of almost 15 percentage points. Since differential age treatment plays an important role
as well, the computation ends up with a substantial gross differential of 27 percentage points,
of which roughly 16 percentage points are explained by the regressors, mostly occupational
selection.
To sum up, the public sector seems prima facie to exemplify the principle of “similar pay
for similar work”, since the remaining unexplained differential is quite low. Or, to put it in
another way, aspirations towards a lower gross differential should focus on the adequacy and
5
We have required that an occupational category cell have at least 5 observations.
14
Table 8: Decomposition for 1998, local government.
Variable Difference in characteristics Differential pricing Sum
constant n.u n.u
temporary -.0015 n.u n.u
occupation (detailed) .1414 n.u n.u
industry .0123 n.u n.u
education .0482 n.u n.u
employer size -.0022 n.u n.u
constant plus selection .1982 .0018 .2
age in years -.002 -.0287 -.0307
age squared .0012 .0483 .0495
n. of children under 18 .0007 .0074 .0081
n. of children under 7 -.0007 .0012 .0005
work experience -.0017 .0069 .0052
Sum .1956 .037 .2319
st.dev .0072 .007 ass=0
objectivity of the occupational job classification and women’s opportunities to move upward
on the job ladder. In manufacturing, by contrast, occupational selection is not such an engine
of wage differentiation, but there seems to be an important age effect: manufacturing is a much
less attractive employer to senior women than to senior men.
15
Table 9: Decomposition for 1998, central government.
Variable Difference in characteristics Differential pricing Sum
constant n.u n.u
temporary -.0006 n.u n.u
occupation (detailed) .1665 n.u n.u
industry -.0009 n.u n.u
education .0307 n.u n.u
employer size .0018 n.u n.u
constant plus selection .1976 -.0457 .1519
age in years -.0333 .0992 .0659
age squared .0274 -.0531 -.0257
n. of children under 18 .0006 .0037 .0043
n. of children under 7 .0011 .0029 .004
work experience .0007 .0132 .0139
Sum .194 .0202 .2136
st.dev .0059 .0058 ass=0
4 The distribution of the unexplained gap
The Oaxaca decompositions were complemented by an analysis of the distribution of the gap
according to a woman’s predicted wage. Oaxaca decompositions tell the mean of the unex-
plained gap, but contain no information on the distribution of this component. Yet, from the
point of view of society’s preferences and the political assessment of eventual discrimination,
it is probably not at all immaterial whether this unexplained component is evenly distributed
or is concentrated into some specific sections of the variable space. For example, if women’s
earnings, on average, amount to 90 per cent of the earnings of men endowed with similar char-
acteristics (age, education, occupation, etc.), there might one group of women who earns as
much as similar men do and another which earns 20 per cent less as similar men.
In the absence of obvious examples to copy, we adopted the following approach. We rst
estimated a conventional log-wage regression for male observations. Then, for each female
observation, we computed the prediction of the wage using the estimated parameters of the
male wage equation. This variable, nicknamed a woman’s “male-wage”, tells how much the
woman in question would earn if she were lucky enough to be a man with precisely similar
characteristics.
We then sorted (ordered) the sample of women according to their “male-wage” and split
the sample into 20 groups of equal size (“vigintiles”). Thus, in the first group, there are those
women whose predicted male-wage is the lowest, and in the last group there are those women
whose predicted male-wage is the highest. We then computed the average unexplained wage
gap within each group; thus, the resulting statistic tells for each group the average distance to
males with similar characteristics.
16
The results of these computations are presented in Figures 1 through 6. Figure 1 shows the
average gaps by vigintile in the entire sample; it is based on the male wage regression which
generated tables (3) and (4). Figures 2 through 6 display the same information for the sector
subsets of the sample (cf. section 3.3).
These computations are based on the widest set of regressors, including occupational cat-
egories. On top of each bar, we indicate a 2-digit number; it is the share of women in the
wage bracket implied by the vigintile. Thus, in general, the share of women is quite high in
the lowest 5-percent groups and it declines as the male-wage predictor grows.
The interesting nding is that the unexplained gap is in general quite low for those women
whose qualications would generate a low wage prediction by male coefcients. Since these
are in general women with low earnings, we can conclude that the gap is lowest among low
wage earners. The gap then increases steadily as we move to higher income groups, and it
is highest either at the very end of the group scale or a little below. Thus, our preliminary
conclusion is that it is women with good educational qualications working in high-wage
occupations who drag the most behind their male colleagues.
"Figure 1: all wage earners"
5 percent group
averageunexplainedgap
−0.050.000.050.100.150.200.25
82
75
72
70
68
64
62
57
55
51
47
47
46
44 48
48 44
39
35
31
17
"Figure 2: private service sector"
5 percent group
averageunexplainedgap
−0.050.000.050.100.150.200.25
79
73
69
74
76
70 71
71 70 74
77
80 81
81
78
70
57 44
44
34
"Figure 3: manufacturing employees"
5 percent group
averageunexplainedgap
−0.050.000.050.100.150.200.25
73
71
68
61
59
58
57
57 50
47
43 40
36
34
28
25
20 20 20
19
18
"Figure 4: manufacturing workers"
5 percent group
averageunexplainedgap
−0.050.000.050.100.150.200.25
52
44 46
36
44
43
40
41
44
39
39 37
36 33
33
31
26 21
18
17
"Figure 5: local government"
5 percent group
averageunexplainedgap
−0.050.000.050.100.150.200.25
89
92
89
90
89
90 90
93
89
85 84
84 84
78
79
80 74
70
66
49
19
Table 10: Gross differential and explained part in three educational groups, 1998
Low education Medium education High education
Gross differential 19.8 17.9 28.0
Explained contribution 9.8 10.4 20.6
Unexplained gap 10.0 7.5 7.4
"Figure 6: central government"
5 percent group
averageunexplainedgap
−0.050.000.050.100.150.200.25
77
77
80
72 79
80
78
76
68
64
57
51 48 44
38
33
32
39
26
5 Educational groups
Without reporting the full decomposition tables, we note the result that the gross wage gap
was highest among employees with the highest educational qualications. If we partition the
sample into three educational groups (“low”, “middle”, “high”) and run the decomposition for
each group separately, the results depicted in table 10 emerge. The gross differential is far
higher among the well-educated, but the unexplained gap is more or less the same.
20
6 A note on segregation
The above results suggest that differentiated assignment into occupations and industries is the
most important single factor that sustains the gross gender wage differential. As a part of
the project, we have also computed a number of dissimilarity indices that capture this phe-
nomenon. We use the conventional Duncan dissimilarity index that is dened as follows. Sup-
pose that the individuals of the sample are partitioned into I categories indexed by i = 1, ..., I.
Denote by mi the share of category i:s men out of all men; and by fi the share of women of
category i out of all women in the sample. The dissimilarity index D is dened
D = (1/2)
I
i=1
|mi − ni|. (8)
Intuitively, the index tells the share of either sex that would have to change category if
we wanted to generate a completely symmetric assigment of women and men into categories.
By exploiting another data set, the Household Income Distribution Survey, we computed the
Duncan index over a coarse occupational categorisation6
. The results are reported in table 11
and they reveal, if anything, a slow decline in segregation. As to our main sample, we had at
our disposal only the three years 1996, 1997 and 1998, so that no sharp conclusions on trends
can be made. However, as the following table 12 shows, the segregation indices for these years
are in decline as well, both what regards occupational as well as industrial assignment.
6
“Pääammatti” in Finnish. Asymmetrical distribution over that categorisation also explains about half of the
gender wage differential in that data set, but these computations are not reported, since they are based on a less
representative sample
21
Table 11: Dissimilarity index over occupations, 1989-1998
year D
89 .63
90 .62
91 .60
92 .60
93 .60
94 .61
95 .62
96 .59
97 .58
98 .59
Table 12: Dissimilarity index over occupations and industries, 1996-1998
year D over occupations D over industries
96 .650 .427
97 .646 .425
98 .636 .412
Finally, we might mention that a similar picture of a weakening segregation emerges if one
carries out a similar computation for the ve subsections of the sample; in that case the sector-
specic ne occupational categorisation is substituted to the economywide categorisation used
in table 12. A decline in the segregation measure emerges for all of our ve subsectors.
7 Concluding remarks
We have shown that very little of the gender differential can be explained by using individual
characteristics alone. Occupational categories are a far more important factor. In the public
sector in particular, the commonplace assumption of age careers being disadvantageous to
women turns out to be insufcient. The pure age factor is more important in manufacturing
industries. As to the distribution of the unexplained gap, we found a concave relationship
between the wage level and the gap; the gap is low at low wage levels and increases as expected
income grows.
In addition to the analyses reported above, some other results were generated. By exploit-
ing another data set (the Household Income Distribution Survey), we investigated whether the
wage differential had changed over time during years 1989-1998. This was not the case, and
these analyses are not reported. We also used both of our data sets to decompose the yearly
changes in the gender wage differentials according to the theoretical decomposition exposed
by Altonji and Blank (see Altonji and Blank (1999) and Juhn et al. (1991)). The year-to-year
changes of the differential were very low, however, and so a decomposition of these changes
turned out to be, unsurprisingly, a splitting of a small component into even tinier components.
These methods are probably better suited to monitoring the wage differential over longer time
spans like decades.
22
However, one positive development could be reported on the evolution of dissimilarity
indices over time. Using both of our data sets, we computed the Duncan dissimilarity index
over occupational classication and industrial classication. In all of these indicators, a slow
but statistically signicant trend towards less segeration emerges.
Hopefully, the methods and results of the project reported here can contribute to a more
regular and systematic monitoring of the gender wage differential in future. Similar methods
can also serve the purpose of comparative work and adoption of best practices within the
European Union7
.
7
Indeed, the Belgian presidency’s proposition on Indicators in Gender Pay Equality follows a rather similar
line of thought.
23
References
Altonji, J. G. and Blank, R. M. (1999). Race and gender in the labor market. In Ashenfelter,
O. and Card, D., editors, Handbook of Labor Economics. Elsevier Science.
Jenkins, S. (1994). Earnings discrimination measurement: a distributional approach. Journal
of Econometrics, 61(1):81–102.
Juhn, C., Murphy, K., and Pierce, B. (1991). Accounting for the slowdown in black-white
wage convergence. In Kosters, M., editor, Workers and their wages. AEI Press, Washington
DC, Washington DC.
Oaxaca, R. (1973). Male-female wage differentials in urban labor markets. International
Economic Review, 14(3):693–709.
Oaxaca, R. and Ransom, M. (1994). On discrimination and the decomposition of wage differ-
entials. Journal of Econometrics, 61:5–21.
Oaxaca, R. and Ransom, M. (1999). Identication in detailed wage decompositions. Review
of Economics and Statistics, 81(1):154–157.
Vartiainen, J. (2001). Sukupuolten palkkaeron tilastointi ja analyysi. Number 2001:17 in
Tasa-arvojulkaisuja. Sosiaali- ja terveysministeriĂś.
24

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Gender Wage Differentials in the Finnish Labour Market

  • 1. 179 GENDER WAGE DIFFERENTIALS IN THE FINNISH LABOUR MARKET Juhana Vartiainen
  • 2. PALKANSAAJIEN TUTKIMUSLAITOS ••TYÖPAPEREITA LABOUR INSTITUTE FOR ECONOMIC RESEARCH •• DISCUSSION PAPERS Helsinki 2002 179 GENDER WAGE DIFFERENTIALS IN THE FINNISH LABOUR MARKET Juhana Vartiainen
  • 4. Gender wage differentials in the Finnish labour market∗ Juhana Vartiainen March 4, 2002 Abstract A comprehensive analysis of the gender wage differential among Finnish full time employees is reported. Oaxaca decompositions show that the the overall wage gap of about 21.5 per cent cannot be accounted for by individual characteristics, since age and educational qualications are rather similar for men and women. When industry and occu- pational qualications are included in the regressor matrix, the unexplained part shrinks to about 50 per cent of the gross differential. An even larger part of the gross differential can be explained in sector-specic analyses with a dense set of occupational dummies. In a less standard part of the analysis, we characterise the distribution of the unexplained wage gap across the variable space. It turns out the women with a high wage predictor, that is, women with good educational qualications in well-remunerated occupations, drag the most behind their male colleagues endowed with similar characteristics. JEL numbers J31, J70, J71. Tiivistelmä Sukupuolten palkkaero on kokopäiväisten palkansaajien parissa noin 20 prosenttia eli naiset ansaitsevat osapuilleen neljä viidesosaa miesten ansioista. Artikkelissa analysoidaan taloustieteen keinoin tätä palkkaeroa. Se on yhteenveto laajemmasta tutkimusraportista ∗ This paper summarises some results of the project “Measuring and monitoring gender wage differentials in the Finnish labour market”, commissioned by the Ministry of Social Affairs and Health and carried out by the author. The objective of the project was to present a comprehensive survey of the gender wage differential in the Finnish labour market as well as to suggest statistical procedures that could be used for a more regular monitoring of the gender wage gap. A longer report in Finnish (55 pages of main text plus a 249-page statistical annex) is available (see Vartiainen (2001)). In that report, a more comprehesive set of sector-specic statistics is presented. I am grateful to Equality Ombudsman Pirkko Mäkinen and Research Ofcer Anita Haataja for sponsoring and supporting this research. I am grateful to Reija Lilja for useful comments. I also want to thank the various employers’ organisations who made possible the use of their sector-specic wage databases, as well as Statistics Finland, whose co-operation has been primordial. Any errors or weaknesses are my own, of course. Author’s afliation and e-mail: Labour Institute for Economic Research, Helsinki. juhana.vartiainen@labour. 3
  • 5. (Vartiainen 2001), jonka pyrkimyksenä oli kartoittaa kattavasti sukupuolten palkkaeroa Suomessa sekä ehdottaa tilastointi- ja seurantatapoja, jolla tätä eroa voitaisiin vastaisuu- dessa seurata. Tulokset osoittavat, että mainitusta 20 prosentin palkkaerosta selittyy pois noin puolet, jos selittäjinä käytetään henkilĂśkohtaisia muuttujia sekä toimialoille ja am- mattiryhmiin valikoitumista. Sukupuolten välillä ei ole merkittävää eroa iässä ja koulutuk- sessa, joten palkkaeron selittyvä osa perustuu toimiala- ja ammattiryhmävalikoitumiseen. Samanlainen hajoitelma lasketaan myĂśs talouden viidelle sektorille (palvelutyĂśnantajat, teollisuuden tuntipalkkaiset, teollisuuden kuukausipalkkaiset, kunnat, valtio) erikseen. Tulokset osoittavat, että julkisyhteisĂśjen parissa toteutuu pitkälti “sama palkka samasta tyĂśstä” -periaate, ja lopullinen palkkaero syntyy lähes kokonaan naisten ja miesten am- mattiryhmävalikoitumisen kautta. Teollisuuden piirissä ammatteihin valikoituminen ei ole yhtä merkittävä sukupuolten palkkaeron taustatekijä, mutta iän palkkaa nostava vaikutus on naisilla selvästi vähäisempi kuin miehillä. Artikkelissa tarkastellaan myĂśs selittymättĂśmän palkkaeron jakautumista eri palkkata- soille. SelittymätĂśn palkkakaula on suurempi korkean palkkatason tehtävissä kuin matala- palkkatehtävissä. Sukupuolten ammatillista segregoitumista kuvaavat indeksit osoittavat segregoitumisen hidasta heikkenimistä. 4
  • 6. Contents 1 Introduction 6 2 Data 6 3 The Oaxaca decomposition 7 3.1 Denition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 3.2 Results for all employees . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 3.3 Results for specic sectors . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 4 The distribution of the unexplained gap 16 5 Educational groups 20 6 A note on segregation 21 7 Concluding remarks 22 5
  • 7. 1 Introduction This paper presents the most important stylised facts about the gender wage differential in the Finnish economy. We characterise the differential in two ways. The rst is a standard one: we use an Oaxaca decomposition (see Oaxaca (1973)) of the log of the monthly wage and present the decomposition results. The results are presented both with and without an occupational dummy variable, and, in both cases, using both the male and female parameter estimates as the reference structure. The estimates are based on a 20 per cent sample of the Earnings Database (“palkkarakennetilasto”) produced and maintained by Statistics Finland. This database covers almost the entire salaried workforce of the economy. Our study concerns the wages of full-time workers and employees. The rst decompositions exploit the entire sample. The data are then decomposed into sub- sets: service sector, manufacturing (salaried employees and wage earners paid by the hour are treated separately), local government and central government. Oaxaca decomposition results are presented for these subsets as well. The second set of results is more original. The Oaxaca decomposition reveals the average unexplained wage gap between sexes but nothing about its distribution. Yet, from the point of view of society’s welfare and gender equality, it is quite interesting to ask how that unexplained wage gap is distributed in different parts of the variable space. Most studies of the wage differential do not appreciate this point, with the exception of Stephen Jenkins who has in an interesting way applied the ideas familiar from the theory of income distribution to the study of group differentials (see Jenkins (1994)). However, since the aim of this paper is to get out the most important stylised facts, we adopt a far simpler procedure, described in more detail in section 4. 2 Data We exploit the Earnings Structure Database maintained by Statistics Finland. It is based on a compilation of wage registries kept by various employer organisations and comprises about 1.3 million wage-earners. The variables include a detailed breakdown of earnings variables plus background variables like age and schooling, together with industrial sector and occupational dummies. We sampled a 20 per cent subset of that database, so that the probability of selection into the sample was proportional to the sampling weight used by Statistics Finland; by these means, we sought to emulate simple random sampling as fully as possible. The variable of interest is monthly wage income as computed by Statistics Finland. That variable has been computed by dividing all wage and salary incomes of the individual by his/her total working hours, both measured under a month. The aim has been to include all such wage items that have some continuity: the base wage, extras and bonuses based on work- ing conditions, eventual extra pay due to overtime and the value of perks. Similarly, the de- nominator was an estimated total labour input as measured in time units. 6
  • 8. We excluded all part-time employees from our analysis. This was motivated by the will to compare men and women who would be as similar as possible. The inclusion of part-time work would point the way to another kind of analysis in which the differential labour supply decisions of men and women would play a more central role. 3 The Oaxaca decomposition 3.1 Denition The Oaxaca decomposition was presented in (Oaxaca, 1973), and we follow his procedure. If the male and female geometric mean wages are denoted by WM and WF , we can decompose the log-differential of geometric means as follows: ∆ ≡ log(WM /WF ) = (log(WM ) − logW0F ) + (log(W0F ) − logWF ), (1) in which we denote by W0F a hypothetical distortion-free or discrimination-free mean wage for women. Furthermore, we can summarise the variation in the male and female wage cross section samples by using the following commonplace statistical models: wi,m = Xi βM + i (2) and wj,f = Xj βF + j (3) in which wi,m is the log wage of man i and wj,f is the log wage of woman j, βM and βF are the coefcients that determine the effect of characteristics on pay and the Xi and Xj are the vectors of characteristics of man i and woman j. Taking the arithmetic average of equations (2) and (3), the stochastic -terms drop away. Designating arithmetic mean by an underlined variable, we have wm = XM βM (4) and wf = XF βF , (5) which simply says that mean wages are predicted by using mean characteristics. Since w is the mean of the log, it is the log of the geometric mean W. We can then plug equations (4) and (5) into (1) to obtain: ∆ = (XM − XF )βM + XF (βM − βF ). (6) 7
  • 9. Thus, the gross differential ∆ is decomposed into the effect of differences in average char- acteristics (the rst term) and the effect of different treatment (or different “pricing”) of char- acteristics. In this paper, we shall speak of the contribution of different characteristics on the one hand and of the unexplained differential or “differential pricing” effect on the other. The literature often speaks roughly of the latter part as “discrimination”, but this is a du- bious usage of words. The unexplained part contains the effects of all those variables that are not part of the X-matrix; economic theory suggests many ways in which unobserved variables may be differently distributed across men and women and may thereby contribute to the wage differential as well. If there is outright discrimination in wage-setting, it is probably a part of the unexplained component. In the above decomposition, we implicitly chose the male coefcient vector as a reference structure with which we evaluated (i.e. “priced”) the contribution of the differences in char- acteristics. We could equally well choose the female wage structure and get the analogous decomposition ∆ = (XF − XM )βF + XM (βF − βM ). (7) In the subsequent literature, it has been emphasised that there is in general no unambiguou- osly best way to choose the reference wage structure (this is really an index number problem). Ideally, if we knew a “right”, discrimination-free structure β, we should use it to evaluate the effect of differences in characteristics. Some authors use the coefcients estimated from the pooled sample (without female dummy) as the reference structure. More generally, the reference structure can be chosen as a matrix weighted average of the male and female β-vectors (see Oaxaca and Ransom (1994)). The choice of the weighting matrix should be guided by economic theory, but the literature on this issue is still quite rudi- mentary. We have therefore chosen simply to present the computations using both male and female coefcients as reference. The advantage of this procedure is that it enables a clear interpretation: using the male (female) structure as reference and computing the effect of dif- ferent characteristics yields an answer to the question “how much would remain of the gross differential if women (men) were treated as men (women) with similar characateristics?”. Note that the above decompositions can be expanded to yield the contributions of each single regressor: how much of the gross differential is due to the gender difference in means of the regressor and how much is due to differential pricing of the regressor. This interpre- tation runs into trouble when we include categorical variables in the regressor matrix X. As is shown in Oaxaca and Ransom (1999), the presence of categorical variables implies that the unexplained part (i.e. the “differential pricing”) part of each categorical variable cannot be uniquely determined. This is intuitively clear, since the regression of wages on categorical variables implies a choice of a reference group, and the results of the Oaxaca decomposition are not independent of this choice. The combined “differential pricing” contribution of all the within-cell unexplained gaps can be uniquely computed, however, and we shall report that in our tables. 8
  • 10. Table 1: Decomposition for 1998, male reference coefcients. Variable Difference in characteristics Differential pricing Sum constant n.u n.u temporary .0047 n.u n.u education .0135 n.u n.u employer size .0028 n.u n.u constant plus selection .0209 .2163 .2372 age in years -.0416 -.1788 -.2204 age squared .0268 .1543 .1811 n. of children under 18 .0017 .0198 .0215 n. of children under 7 -.0003 -.0008 -.0011 Sum total .0074 .2109 .2148 st.dev .0016 .0015 ass=0 Table 2: Decomposition for 1998, female reference coefcients. Variable Difference in characteristics Differential pricing Sum constant n.u. n.u. temporary .0032 n.u n.u education -.0025 n.u n.u employer size .0017 n.u n.u constant plus selection .0025 .2348 .2372 age in years -.0489 -.1715 -.2204 age squared .0379 .1432 .1811 n. of children under 18 -.0015 .023 .0215 n. of children under 7 .0001 -.0012 -.0011 Sum total -.0099 .2282 .2148 st.dev .0013 .0014 ass=0 3.2 Results for all employees The decompositions were computed for years 1996 through 1998. We focus on the last year, since the results for years 1996 and 1997 are largely similar. The following four tables display the results of decomposition (6) for year 1998. The rst two tables are based on a regression matrix X that contains the personal characteristic variables age and education as well as the employer size. 9
  • 11. The tables are read as follows. The cell at the low-end right-end corner (at the intersection of row “Sum total” and column “Sum” tells the gross log wage differential (21.48 in Table 1, for example). The two entries on the same row display the two terms of decomposition (6); the rst one is the effect of differences in characteristics and the second one is the unexplained or differential pricing component. The other rows above that nal row tell the same information for different variables. The rst group of variables (above the rst horizontal double line) is the group of categorical variables. For those ones, one can only compute the effect of the difference in means in an unambiguous way; the pricing effect is reported as the aggregate sum of the within-cell unexplained gaps (the abbreviation “n.u” stands for “not unique”). This is reported on the row “constant plus selection”. The second group of variables are the continuous ones: age, age squared and the number of children. Finally, the row “Sum total” adds up all the contributions. Tables 1 and 2 make it clear that personal characteristics plus rm size do not go far in explaining the wage differential. Of the overall differential of 21.5 percentage points, almost nothing is explained by differences in individual characteristics and employer size. Almost all of the wage differential is due to a constant term that we cannot allocate to any specic categorical variable. The next two tables 3 and 4 show the analogous results when an occupational variable1 plus a sector variable2 (“industry”) are added to the regressor matrix. We see now that about half of the gross wage differential can be accounted for by different endowments when male coefcients are used, and about one third when female coefcients are used. The tables show that the “industry” variable and the “occupation” variable together generate the explained part of about 10 percentage points. 1 This is the “isco” -variable produced and used by Statistics Finland. 2 The “nace” variable of Statistics Finland. 10
  • 12. Table 3: Decomposition for 1998, male reference coefcients. Variable Difference in characteristics Differential pricing Sum total constant n.u n.u temporary .0029 n.u n.u occupation .0522 n.u n.u industry .0582 n.u n.u education .0097 n.u n.u employer size .0028 n.u n.u constant plus selection .1258 .0526 .1784 age in years -.0344 .0072 -.0272 age squared .0236 .0267 .0503 n. of children under 18 .0013 .0141 .0154 n. of children under 7 -.0005 .0007 .0002 Sum total .1158 .1013 .2145 st.dev .0029 .0029 ass=0 Table 4: Decomposition for 1998, female reference coefcients. Variable Difference in characteristics Differential pricing Sum total constant n.u. n.u. temporary .0027 n.u n.u occupation .0461 n.u n.u industry .0328 n.u n.u education .0016 n.u n.u employer size .001 n.u n.u constant plus selection .0842 .0942 .1784 age in years -.0341 .0069 -.0272 age squared .0255 .0248 .0503 n. of children under 18 -.0009 .0163 .0154 n. of children under 7 -.0009 .0011 .0002 Sum total .0739 .1432 .2145 st.dev .0026 .0027 ass=0 We also see that only age, industry and occupation play a role in the generation of the gender wage differential. The differential treatment effect of children accounts for a couple of percentage points; thus, children lead to a somewhat higher wage handicap for women, but this effect is quite weak in comparison with other effects. 11
  • 13. Table 5: Decomposition for 1998, private services. Variable Difference in characteristics Differential pricing Sum constant n.u n.u temporary .0016 n.u n.u occupation (detailed) .1467 n.u n.u industry .0204 n.u n.u education .0137 n.u n.u employer size -.0038 n.u n.u constant plus selection .1786 -.0292 .1494 share of extra hours .0027 -.0028 -.0001 age in years -.0533 .1201 .0668 age squared .0358 .0038 .0396 n. of children under 18 .002 .0195 .0215 n. of children under 7 -.0011 -.0015 -.0026 Sum .1647 .1099 .2724 st.dev .0063 .0061 ass=0 3.3 Results for specic sectors The following tables exhibit similar decompositions for ve subsets of the salaried labour force3 : - private service sector; - salaried employees of the manufacturing industry (monthly pay) - wage earners of the manufacturing industry (pay by hour) - local government workers - central government workers. To save space, we report only those computations that used male reference coefcients and included the widest set of explanatory variables. In particular, it should be emphasised that the estimations on which the following tables are based included a sector-specic occupational classication which is in general denser than the general occupational classication used for the estimates reported for the entire workforce. Furthermore, the number of occupational classes varies from sector to sector; it is very large for local and central government workers, fairly large for manufacturing wage-earners and private service sector employees and quite low for manufacturing salaried employees. As expected, this is reflected in the share of the gender wage differential that can be ascribed to differential endowments4 . 3 In the data base, these subsets are formed by the institutional afliation of the person’s employer. The Finnish designations for these groupings are “PalvelutyĂśnantajat”, “Teollisuuden kuukausipalkkaiset”, “Teollisuuden tun- tipalkkaiset”, “Kunnat”, “Valtio”. 4 Thus, as was already emphasised by Ronald Oaxaca in his original contribution of Ronald Oaxaca (1973), the use of occupational dummies is controversial. In the limit, as all individuals have a somewhat unique job, we could explain away the entire wage differential by occupational categories. 12
  • 14. Table 6: Decomposition for 1998, manufacturing, salaried employees. Variable Difference in characteristics Differential pricing Sum constant n.u n.u temporary .0035 n.u n.u occupation (detailed) .1121 n.u n.u industry -.0047 n.u n.u education .0437 n.u n.u employer size -.0016 n.u n.u constant plus selection .1529 -.0393 .1137 share of extra hours .0071 -.0011 .006 age in years .0158 .1318 .1476 age squared -.0122 .0349 .0227 n. of children under 18 .0021 .0191 .0212 n. of children under 7 -.0006 -.0007 -.0013 work experience -.001 .0081 .0071 Sum .1643 .1529 .3172 st.dev .0078 .0078 ass=0 Table 7: Decomposition for 1998, manufacturing, wage earners. Variable Difference in characteristics Differential pricing Sum constant n.u n.u temporary -.001 n.u n.u occupation (detailed) .0233 n.u n.u industry .0225 n.u n.u education .0048 n.u n.u employer size -.0041 n.u n.u constant plus selection .0454 -.0853 -.0399 share of extra hours .0178 -.0035 .0143 age in years -.042 .3393 .2973 age squared .0408 -.1735 -.1327 n. of children under 18 .0004 .0047 .0051 n. of children under 7 .0004 .0013 .0017 work experience .0021 .0061 .0082 Sum .0649 .0892 .1498 st.dev .0025 .0026 ass=0 The results of tables (5) through (9) can be summarised as follows. The gross wage dif- ferential is lowest among manufacturing workers and local government workers (just under 20 per cent and just over 20 per cent, respectively). It is highest for the salaried manufacturing employees (over 30 per cent). The central government personnel and the employees of private service sector rms occupy the middle ground, with a differential around 25 per cent. 13
  • 15. In these sector-specic computations, we have had to discard some observations that be- long to the smallest and most segregated occupational categories, since no reliable statistical inference is possible if a cell contains only a couple of female or a couple of male obser- vations5 . This truncation of the data has a different effect in different sectors. Deleting the smallest and most segregated occupational categories leads to a large drop in the gender differ- ential of manufacturing wage-earners; as is apparent from table 7, the gross wage differential is as low as 15 per cent. Thus, the most segregated occupational categories tend to be populated by high-earning males and low-earning females. Among the local government workers, this truncation has the opposite effect of increasing the gross wage differential. Small and segre- gated occupational categories tend there to include female with high earnings and males with low earnings. The tables indicate that segregated occupational categorisation explains away most of the wage differential in the case of local and central government employees. In both cases, 80 to 90 per cent of the gross differential is explained by differences in the means of the regressors, and segregation into different occupations is in turn responsible for about 4/5 of that effect (see the entry at the intersection of row “occupational category” and column “Difference in characteristics” in tables 8 and 9: it is of the order of 15 percentage points in both sectors). The effect of differential treatment of age is quite limited. The picture is somewhat different amongst the manufacturing industries employees and workers. There, the share of the gross wage differential that can be explained away by differ- ent characteristics is in general lower, about half of the gross differential for salaried employees and about a third of the gross differential for workers. A closer look at tables 6 and 7 reveals that the effect of differential selection into occupational categories is much lower in manufac- turing than in the public sector ; it only contributes a couple of percentage points among wage earners and about 10 percentage points among salaried employees. The effect of differential treatment of age, by contrast, is an important factor: by itself, it creates an unexplained wage differential of about 16 percentage points in both subsets of manufacturing personnel. Note also that the sum of unexplained mean gaps (see the entry at the intersection of row “constant plus selection” and column “Differential pricing” in tables 6 and 7) is negative. Thus, within occupational categories, manufacturing rms tend to pay more or less the same to young peo- ple, but the accruing of age leads to a widening gap between senior males and senior females. Finally, for the employees of private service sector rms (see table 5) , the occupational variable is also quite important: segregated selection into occupations generates a wage differ- ential of almost 15 percentage points. Since differential age treatment plays an important role as well, the computation ends up with a substantial gross differential of 27 percentage points, of which roughly 16 percentage points are explained by the regressors, mostly occupational selection. To sum up, the public sector seems prima facie to exemplify the principle of “similar pay for similar work”, since the remaining unexplained differential is quite low. Or, to put it in another way, aspirations towards a lower gross differential should focus on the adequacy and 5 We have required that an occupational category cell have at least 5 observations. 14
  • 16. Table 8: Decomposition for 1998, local government. Variable Difference in characteristics Differential pricing Sum constant n.u n.u temporary -.0015 n.u n.u occupation (detailed) .1414 n.u n.u industry .0123 n.u n.u education .0482 n.u n.u employer size -.0022 n.u n.u constant plus selection .1982 .0018 .2 age in years -.002 -.0287 -.0307 age squared .0012 .0483 .0495 n. of children under 18 .0007 .0074 .0081 n. of children under 7 -.0007 .0012 .0005 work experience -.0017 .0069 .0052 Sum .1956 .037 .2319 st.dev .0072 .007 ass=0 objectivity of the occupational job classication and women’s opportunities to move upward on the job ladder. In manufacturing, by contrast, occupational selection is not such an engine of wage differentiation, but there seems to be an important age effect: manufacturing is a much less attractive employer to senior women than to senior men. 15
  • 17. Table 9: Decomposition for 1998, central government. Variable Difference in characteristics Differential pricing Sum constant n.u n.u temporary -.0006 n.u n.u occupation (detailed) .1665 n.u n.u industry -.0009 n.u n.u education .0307 n.u n.u employer size .0018 n.u n.u constant plus selection .1976 -.0457 .1519 age in years -.0333 .0992 .0659 age squared .0274 -.0531 -.0257 n. of children under 18 .0006 .0037 .0043 n. of children under 7 .0011 .0029 .004 work experience .0007 .0132 .0139 Sum .194 .0202 .2136 st.dev .0059 .0058 ass=0 4 The distribution of the unexplained gap The Oaxaca decompositions were complemented by an analysis of the distribution of the gap according to a woman’s predicted wage. Oaxaca decompositions tell the mean of the unex- plained gap, but contain no information on the distribution of this component. Yet, from the point of view of society’s preferences and the political assessment of eventual discrimination, it is probably not at all immaterial whether this unexplained component is evenly distributed or is concentrated into some specic sections of the variable space. For example, if women’s earnings, on average, amount to 90 per cent of the earnings of men endowed with similar char- acteristics (age, education, occupation, etc.), there might one group of women who earns as much as similar men do and another which earns 20 per cent less as similar men. In the absence of obvious examples to copy, we adopted the following approach. We rst estimated a conventional log-wage regression for male observations. Then, for each female observation, we computed the prediction of the wage using the estimated parameters of the male wage equation. This variable, nicknamed a woman’s “male-wage”, tells how much the woman in question would earn if she were lucky enough to be a man with precisely similar characteristics. We then sorted (ordered) the sample of women according to their “male-wage” and split the sample into 20 groups of equal size (“vigintiles”). Thus, in the rst group, there are those women whose predicted male-wage is the lowest, and in the last group there are those women whose predicted male-wage is the highest. We then computed the average unexplained wage gap within each group; thus, the resulting statistic tells for each group the average distance to males with similar characteristics. 16
  • 18. The results of these computations are presented in Figures 1 through 6. Figure 1 shows the average gaps by vigintile in the entire sample; it is based on the male wage regression which generated tables (3) and (4). Figures 2 through 6 display the same information for the sector subsets of the sample (cf. section 3.3). These computations are based on the widest set of regressors, including occupational cat- egories. On top of each bar, we indicate a 2-digit number; it is the share of women in the wage bracket implied by the vigintile. Thus, in general, the share of women is quite high in the lowest 5-percent groups and it declines as the male-wage predictor grows. The interesting nding is that the unexplained gap is in general quite low for those women whose qualications would generate a low wage prediction by male coefcients. Since these are in general women with low earnings, we can conclude that the gap is lowest among low wage earners. The gap then increases steadily as we move to higher income groups, and it is highest either at the very end of the group scale or a little below. Thus, our preliminary conclusion is that it is women with good educational qualications working in high-wage occupations who drag the most behind their male colleagues. "Figure 1: all wage earners" 5 percent group averageunexplainedgap −0.050.000.050.100.150.200.25 82 75 72 70 68 64 62 57 55 51 47 47 46 44 48 48 44 39 35 31 17
  • 19. "Figure 2: private service sector" 5 percent group averageunexplainedgap −0.050.000.050.100.150.200.25 79 73 69 74 76 70 71 71 70 74 77 80 81 81 78 70 57 44 44 34 "Figure 3: manufacturing employees" 5 percent group averageunexplainedgap −0.050.000.050.100.150.200.25 73 71 68 61 59 58 57 57 50 47 43 40 36 34 28 25 20 20 20 19 18
  • 20. "Figure 4: manufacturing workers" 5 percent group averageunexplainedgap −0.050.000.050.100.150.200.25 52 44 46 36 44 43 40 41 44 39 39 37 36 33 33 31 26 21 18 17 "Figure 5: local government" 5 percent group averageunexplainedgap −0.050.000.050.100.150.200.25 89 92 89 90 89 90 90 93 89 85 84 84 84 78 79 80 74 70 66 49 19
  • 21. Table 10: Gross differential and explained part in three educational groups, 1998 Low education Medium education High education Gross differential 19.8 17.9 28.0 Explained contribution 9.8 10.4 20.6 Unexplained gap 10.0 7.5 7.4 "Figure 6: central government" 5 percent group averageunexplainedgap −0.050.000.050.100.150.200.25 77 77 80 72 79 80 78 76 68 64 57 51 48 44 38 33 32 39 26 5 Educational groups Without reporting the full decomposition tables, we note the result that the gross wage gap was highest among employees with the highest educational qualications. If we partition the sample into three educational groups (“low”, “middle”, “high”) and run the decomposition for each group separately, the results depicted in table 10 emerge. The gross differential is far higher among the well-educated, but the unexplained gap is more or less the same. 20
  • 22. 6 A note on segregation The above results suggest that differentiated assignment into occupations and industries is the most important single factor that sustains the gross gender wage differential. As a part of the project, we have also computed a number of dissimilarity indices that capture this phe- nomenon. We use the conventional Duncan dissimilarity index that is dened as follows. Sup- pose that the individuals of the sample are partitioned into I categories indexed by i = 1, ..., I. Denote by mi the share of category i:s men out of all men; and by fi the share of women of category i out of all women in the sample. The dissimilarity index D is dened D = (1/2) I i=1 |mi − ni|. (8) Intuitively, the index tells the share of either sex that would have to change category if we wanted to generate a completely symmetric assigment of women and men into categories. By exploiting another data set, the Household Income Distribution Survey, we computed the Duncan index over a coarse occupational categorisation6 . The results are reported in table 11 and they reveal, if anything, a slow decline in segregation. As to our main sample, we had at our disposal only the three years 1996, 1997 and 1998, so that no sharp conclusions on trends can be made. However, as the following table 12 shows, the segregation indices for these years are in decline as well, both what regards occupational as well as industrial assignment. 6 “Pääammatti” in Finnish. Asymmetrical distribution over that categorisation also explains about half of the gender wage differential in that data set, but these computations are not reported, since they are based on a less representative sample 21
  • 23. Table 11: Dissimilarity index over occupations, 1989-1998 year D 89 .63 90 .62 91 .60 92 .60 93 .60 94 .61 95 .62 96 .59 97 .58 98 .59 Table 12: Dissimilarity index over occupations and industries, 1996-1998 year D over occupations D over industries 96 .650 .427 97 .646 .425 98 .636 .412 Finally, we might mention that a similar picture of a weakening segregation emerges if one carries out a similar computation for the ve subsections of the sample; in that case the sector- specic ne occupational categorisation is substituted to the economywide categorisation used in table 12. A decline in the segregation measure emerges for all of our ve subsectors. 7 Concluding remarks We have shown that very little of the gender differential can be explained by using individual characteristics alone. Occupational categories are a far more important factor. In the public sector in particular, the commonplace assumption of age careers being disadvantageous to women turns out to be insufcient. The pure age factor is more important in manufacturing industries. As to the distribution of the unexplained gap, we found a concave relationship between the wage level and the gap; the gap is low at low wage levels and increases as expected income grows. In addition to the analyses reported above, some other results were generated. By exploit- ing another data set (the Household Income Distribution Survey), we investigated whether the wage differential had changed over time during years 1989-1998. This was not the case, and these analyses are not reported. We also used both of our data sets to decompose the yearly changes in the gender wage differentials according to the theoretical decomposition exposed by Altonji and Blank (see Altonji and Blank (1999) and Juhn et al. (1991)). The year-to-year changes of the differential were very low, however, and so a decomposition of these changes turned out to be, unsurprisingly, a splitting of a small component into even tinier components. These methods are probably better suited to monitoring the wage differential over longer time spans like decades. 22
  • 24. However, one positive development could be reported on the evolution of dissimilarity indices over time. Using both of our data sets, we computed the Duncan dissimilarity index over occupational classication and industrial classication. In all of these indicators, a slow but statistically signicant trend towards less segeration emerges. Hopefully, the methods and results of the project reported here can contribute to a more regular and systematic monitoring of the gender wage differential in future. Similar methods can also serve the purpose of comparative work and adoption of best practices within the European Union7 . 7 Indeed, the Belgian presidency’s proposition on Indicators in Gender Pay Equality follows a rather similar line of thought. 23
  • 25. References Altonji, J. G. and Blank, R. M. (1999). Race and gender in the labor market. In Ashenfelter, O. and Card, D., editors, Handbook of Labor Economics. Elsevier Science. Jenkins, S. (1994). Earnings discrimination measurement: a distributional approach. Journal of Econometrics, 61(1):81–102. Juhn, C., Murphy, K., and Pierce, B. (1991). Accounting for the slowdown in black-white wage convergence. In Kosters, M., editor, Workers and their wages. AEI Press, Washington DC, Washington DC. Oaxaca, R. (1973). Male-female wage differentials in urban labor markets. International Economic Review, 14(3):693–709. Oaxaca, R. and Ransom, M. (1994). On discrimination and the decomposition of wage differ- entials. Journal of Econometrics, 61:5–21. Oaxaca, R. and Ransom, M. (1999). Identication in detailed wage decompositions. Review of Economics and Statistics, 81(1):154–157. Vartiainen, J. (2001). Sukupuolten palkkaeron tilastointi ja analyysi. Number 2001:17 in Tasa-arvojulkaisuja. Sosiaali- ja terveysministeriĂś. 24