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RETURNS ON EDUCATION AND OVERQUALIFICATION – CASE OF THE EU AND
THE CZECH REPUBLIC
Václa U bánek
Uni e si y o Economics, P ague
Facul y o Finance and Accoun ing
Depa men o Public Finance
Wins on Chu chill Squa e 4, 130 67 P aha 3, Czech Republic
[email p o ec ed]
Abs ac
The aim o his pape is o analyse and e alua e he cu en s a e o o e quali ica ion and
unde quali ica ion in he EU coun ies and in he Czech Republic. The e a e s eadily
inc easing numbe s o educa ion sys em g adua es and pe sis en demand o educa ion in he
popula ion. This leads o ea s ha he misma ch be ween jobs equi emen s and wo k o ce
quali ica ions will inc ease. Public educa ional policy seems o suppo his con o e sy.
While numbe s o en olled s uden s a seconda y schools and public uni e si ies and
consequen ly numbe s o g adua es a e ising, he e could be sho age o skilled le el jobs in
he u u e. The pape discusses a ious me hods used o measu e he le el o educa ion
equi ed o he job and he ele an heo ies (sea ching and ma ching, human capi al heo y,
assignmen heo y e c.) ha can be used o in e p e a ion o o e quali ica ion. The las
chap e analyses and e alua es cu en s a e o o equali ica ion in he EU coun ies and in he
Czech Republic and deals wi h he empi ical esul s o he impac o o e quali ica ion on
ea nings.
In oduc ion
The pape is a ollow-up o he p e ious s udy on o e educa ion and labou misma ch in he
ACC Jou nal 2012/3 (see U bánek, [27], p. 209 .). The esul s o his p e ious a icle we e
subs an ially ex ended and only pa s o i we e used o be e unde s anding o he
me hodology in his pape . New chap e s we e added – own esea ch based on da a om
Eu opean Social Su ey 5, yea 2010, including s a is ics o educa ion misma ch, impac o
educa ion misma ch on ea nings and eg ession analysis o e u ns o educa ion, o e - and
unde quali ica ion.
S eadily inc easing numbe s o educa ion g adua es and pe sis en demand o seconda y and
uni e si y educa ion in he popula ion in he las decades lead o conce ns abou he misma ch
be ween jobs equi emen s and wo k o ce quali ica ions. En olmen s o schools, oca ional
ins i u ions and uni e si ies a e g owing, especially a e ia y educa ion ins i u ions. The cha
(Figu e 1) shows he inc ease o he numbe s g adua es om e ia y educa ion ins i u ions
(mainly uni e si ies) be ween yea s 1995 and 2011. In he Czech Republic, numbe o
g adua es om e ia y educa ion ins i u ions ype A (Mas e ’s Deg ee ins i u ions) inc eased
om 12.6% o age-speci ic g oup in he yea 1995 o 40.62% in he yea 2011. Simila ends
can be seen in almos all de eloped coun ies; howe e , by con as o g owing numbe s o
ype B g adua es (Bachelo ’s Deg ee) in many OECD coun ies be ween 1995 and 2011, in
he Czech Republic numbe s o Bachelo ’s Deg ee g adua es dec eased. I seems ha e ia y-
ype B p og ammes a e ecen ly being phased ou and g adua ion a es om hese
p og ammes ha e allen in a ou o mo e academically o ien ed e ia y educa ion. The
consequence o his end om e ia y educa ion Type B owa ds Type A is g owing job
misma ch as will be analysed la e in his a icle.
179
Sou ce: [21], own calcula ions
Fig. 1: Fi s - ime g adua ion a es in e ia y- ype A and B educa ion (1995 and 2011)
Simila ly, numbe s o s uden s en olled in o uppe seconda y educa ion ha e inc eased
subs an ially in almos all de eloped coun ies (see Figu e 2).
40
50
60
70
80
90
100
2011 2005
2000 1995
%%
Sou ce: [21]
Fig. 2: En olmen a es o 15-19 yea -olds (1995, 2000, 2005 and 2011)
Ye many a ious s udies ha e indica ed ha hese seconda y and e ia y educa ion g adua es
a e en e ing labou o ce wi h mo e educa ion han is ac ually equi ed o hei jobs – hey
a e o e educa ed. Al hough he inc ease in all educa ional le els has been accompanied by
g ow h o high skill jobs demand, he a e o his g ow h was a guably slowe han supply o
quali ied, i.e. g adua ed wo ke s. The esul o his di e ence be ween highe supply o
180
g adua es and demand o hem a he labou ma ke leads o o e quali ica io and alloca ion o
skills may be less han op imal. O e quali ica ion is a p oblem b oadly discussed in he
economic and sociological li e a u e o las wo o h ee decades and i has se ious
consequences o labou ma ke e ec i eness and educa ional in es men .
1 Human capi al heo y and p oblem o o e quali ica ion
F om he poin o iew o human capi al heo y, o e quali ica ion is somewha puzzling.
People should no in es in hei educa ion which hey canno and will no ully u ilize. When
on he labou ma ke , acco ding o he neoclassical economic heo y, hey will ea n wage ully
co esponding o hei educa ion and demand o hei skills will gi e hem same e u n o
hei o e quali ica ion as o equi ed quali ica ion.
The e has appea ed abundan li e a u e on o e quali ica ion in ecen decades, bo h in
heo e ical and in empi ical ields (see o example me a-analysis o 25 s udies on
o e quali ica ion in an a icle by G oo e al ([13], p.153). Pe e Sloane no es ha his ield o
esea ch is coming o age ([25], p. 11) and his is e lec ed – among o he s – in a special issue
o he Economics o Educa ion Re iew on O e schooling ([9]). Subs an ial li e a u e is also
summa ized in Sloane’s a icle ([25]) and he e a e 33 a icles and pape s e iewed in his
ex . Gene ally speaking, he economic analysis o o e quali ica ion was s a ed by Richa d B.
F eeman in his The O e educa ed Ame ican om a mac oeconomic poin o iew in he yea
1976 (see [3]). F eeman ound ha he a e o e u n o highe educa ion had allen in he
se en ies in he U.S.A. and a ibu ed i o an excess supply o g adua es. Howe e , ecen
li e a u e (as men ioned abo e) mainly ocuses on he income e ec s o o e quali ica ion and
on indi idual le el.
All abo e men ioned s udies (and many o he s) show ha e u n o o e quali ica ion is highe
han ha o people ha ing equi ed quali ica ion o his job bu is lowe compa ed o he
e u n o people ha ing co ec job o his highe quali ica ion. Being o e quali ied c ea es a
p emium ela i e o he job bu penal y ela i e o he quali ica ion ([3]).
The e a e se e al possible explana ions o he exis ence o o e quali ica ion ([15]): Fi s , i
can be a compensa ion o he lack o o he human capi al endowmen s (e.g. abili y,
expe ience, on- he-job aining), o in o he wo ds o e educa ed wo ke s a e subs i u ing
o mal o in o mal human capi al o a e less capable han adequa ely educa ed indi iduals
([17], p. 521). Also in his human capi al pe spec i e, o e quali ica ion can s em om he
delibe a e choice o o e quali ied wo ke en e ing low-skill job as an oppo uni y o ini ial
expe ience as an addi ional human capi al in es men . This pa o human capi al explana ion
was es ed by Siche man ([24]) wi h good esul s.
Second explana ion o o e quali ica ion is connec ed wi h ca ee mobili y and in his sense,
o e quali ica ion is a empo a y si ua ion ([15]). “Sea ching and ma ching” p ocess is an
e ec o impe ec in o ma ion in he labou ma ke en i onmen and as such, i can be
empo a y si ua ion. I means ha his explana ion is no mu ually exclusi e wi h abo e
men ioned addi ional human capi al in es men ([15]).
In ex eme con as o human capi al heo y explana ion o o e quali ica ion is job
compe i ion model c ea ed in 1975 by Les e Thu ow. In his model, i is assumed ha
ma ginal p oduc i i y is de i ed om he job a he han om he wo ke and he employe s
use pe sonal quali ies (incl. educa ion) only o hi ing. Wages a e paid acco ding o jobs and
e u n o human capi al o e he le el equi ed o he job is ze o. Wo ke s ha a e mo e
educa ed a e hi ed on supposi ion ha o hei aining will be necessa y ewe cos s.
181
Finally, job assignmen model is a s and o li e a u e based on he p oposi ion ha he e is an
alloca ion p oblem in assigning wo ke s o a ious jobs. Labou supply and labou demand
a e complex en i ies and measu ing ma ch quali y is in line wi h a en ion o he assignmen
o he e ogeneous wo ke s o he e ogeneous jobs ([15]). Ea nings in his model a e a unc ion
o bo h wo ke and job cha ac e is ics.
Acco ding o human capi al heo y, e u ns o educa ion a e bes measu ed using da a on
ac ual ea nings o g adua es du ing hei li e ime (ei he longi udinal da a, which is no easily
ob ained, o c oss-sec ional da a). The e a e se e al sou ces o his da a howe e , especially
o he Czech Republic, he da a is no comp ehensi e and co e ed ime in e al is no long
enough o hese calcula ions. This da a hen is used o es ima e en i e age-ea ning p o ile as
can be seen in Fig. 3 and also e u n o in es men can be calcula ed using he ollowing
equa ion ( o ull discussion see [22]):
0
)
1(
)()(
)
1(
)()( **
001
C
E
E
E
G
E
R
G
(1)
whe e: E0( ) = p e-uni e si y educa ion ea nings unc ion, E1( ) = uni e si y educa ion
ea nings unc ion, C( ) = di ec cos s unc ion, E = beginning o educa ion age, G =
g adua ion educa ion age, R = e i emen age, * = a e o e u n o in es men o educa ion.
Due o he sca ci y o good longi udinal da a c oss-sec ional da a ha e o be used in o de o
make longi udinal s a emen s. The e a e some good es ima es ha con ol o di e ences
be ween longi udinal and c oss-sec ional da a.
The e is ano he me hod o calcula ion app oxima e e u ns o educa ion ha is no e y
dependen o longi udinal da a and he e o e easy o apply. This is so called sho -cu me hod
([23]):
AESk AEAE
j
ji
*
(2)
whe e: * = a e o e u n o in es men o educa ion, AEi = mean ea nings o an indi idual
wi h uni e si y educa ion, AEj = mean ea nings o an indi idual wi h uni e si y seconda y
educa ion, S = numbe o yea s o uni e si y educa ion, k = coe icien o di ec cos s.
I is impo an o no e ha human capi al heo y has also possibili y o con ol i s empi ical
esul s h ough eg ession analysis o demand o educa ion as i has been pionee ed by Ga y
Becke , Theodo e Schul z and Jacob Mince (see [1]). The mos quo ed and simple model is
Mince ’s ea nings equa ion, which is empi ical app oxima ion o he human capi al
heo e ical amewo k:
u
ex
exbs
X
wi
i
ii
i
i
2
ln
(3)
whe e wi is an ea ning measu e o an indi idual i such as ea ning pe hou o week, si
ep esen s a measu e o hei schooling, exi is an expe ience measu e, Xi is a se o o he
a iables assumed o a ec ea nings and ui is a dis u bance e m. In his con ex , b can be
conside ed he p i a e e u n o schooling (see [11]).
182
Sou ce: [23], own adap a ion
Fig. 3: Age-ea nings p o ile and ull me hod o e u ns o educa ion
In es ima ing he a e o e u n om schooling, he coe icien o he schooling a iable is
o en in e p e ed as he pe cen age inc ease in he hou ly wage associa ed wi h one addi ional
yea o schooling and is, acco ding o Psacha apoulos and Pa inos [23] no accu a ely
e e ed o as he a e o e u n o schooling, ega dless o wha educa ional le el his yea
e e s o. Though con enien his me hod equi ing ewe da a migh be, i is in e io o he
di ec me hod as i assumes la age-ea nings p o iles o di e en le els o educa ion.
Howe e , nei he e e ing o wage e ec s as e u ns o schooling no la age-ea nings
p o iles assump ions is “damaging o un ealis ic”. [23]
2 Me hodology
Following human capi al heo y and Mince ’s ea nings equa ion ( o de ails see also U bánek,
[27], p. 213) he e is a possibili y o c ea e an equa ion adding oge he Mince ’s (i means
human capi al heo y model) and Thu ow’s job compe i ion models. Some imes his equa ion
is e e ed o as he Duncan and Ho man o he ORU model (ORU s ands o
O e quali ica ion – Requi ed quali ica ion – Unde quali ica ion):
u
ex
exSbSbSbw i
i
iuuoo i
2
0
ln
(4)
whe e ln wi is loga i hm o ea nings, β0 is a cons an ; b ; bo; bu a e es ima ed coe icien s o
quali ica ions (o schooling) and q a e quali ica ion a iables: S o yea s o quali ica ions
equi ed o do he job; So o yea s o o e quali ica ions; Su o yea s o unde quali ica ions.
The Mince ’s human capi al speci ica ions implies ha b = bo = -bu; Thu ow’s job
compe i ion speci ica ion implies ha bo = bu ([25], p. 14).
Since he basic e sion o he ‘Mince ian’ unc ion does no dis inguish be ween di e en
le els o schooling, an ex ended ea nings unc ion was de eloped, which subs i u es a se ies
o 0–1 dummy a iables o S, co esponding o disc e e educa ional le els. The ex ended
ea nings unc ion may be exp essed as ollows:
Ea nings
di e en ial
Cos s
Ea nings
and cos s
Age
Sh
N
E0( )
E1(
)
R
G
E
0
C( )
183
u
ex
ex
D
b
D
b
D
b
X
wi
i
i
u
u
s
s
p
p
i
i
2
ln
(5)
wi is an ea ning measu e o an indi idual i such as ea ning pe hou o week, b(p,s,u) ep esen
coe icien s o schooling a p ima y, seconda y o uni e si y le els espec i ely and D(p,s,u) a e
dummy a iables o p ima y, seconda y o uni e si y le els espec i ely, exi is an expe ience
measu e, Xi is a se o o he a iables assumed o a ec ea nings and ui is a dis u bance e m.
The p i a e a e o e u n be ween le els o educa ion can hen be calcula ed om he
ex ended ea nings unc ion by he ollowing o mulae:
SS
bb
SS
bb
S
b
su
su
s
ps
ps
s
p
p
p
;;
(6; 7; 8)
whe e p is he a e o e u n o p ima y educa ion, s is he a e o e u n o seconda y
educa ion and u is he a e o e u n o uni e si y educa ion and S is yea s o schooling.
The a ionale o his p ocedu e is ha he a e o e u n is compu ed by means o he
ollowing o mula ha is educa ional le el speci ic:
Sww
ij
j
lnln
(9)
whe e j is index o highe le el o educa ion han i;
S is di e ence be ween yea s o
schooling a indi idual school le els.
Acco ding o Cohn ([7]), ano he model gi es good and compa able esul s:
u
EXPUNDERSCH
EXP
OVERSCH
EXP
ADSCH
UNDERSCHOVERSCHADSCH
X
w
i
i
iii
i
i
i
i
ii
*
*
*
ln
6
45
321
(10)
whe e ln wi is na u al loga i hm o g oss ea nings, δ and α a e eg ession coe icien s
espec i ely, ADSCHi is numbe o yea s o adequa e schooling, OVERSCH and
UNDERSCH a e numbe s o yea s o o e schooling and unde schooling (OVERSCH =
SCHOOL – ADSCH, whe e SCHOOL is numbe o yea s o ac ual educa ion; simila ly
UNDERSCH = ADCH - SCHOOL), EXP a e yea s o expe ience, Xi is a se o o he
a iables assumed o a ec ea nings and ui is a dis u bance e m (index i is o indi idual i).
As o measu ing o equi ed, o e - and unde quali ica ion, h ee al e na i e measu emen
me hods can be used o ind he deg ee o o e quali ica ion o unde quali ica ion ( o mo e
de ails, see U bánek [27], p. 211 . ):
1) Sys ema ic job e alua ion by p o essional job analys s who speci y he equi ed le el o
educa ion (deg ee) o he job and occupa ional classi ica ion. O e educa ion o
unde educa ion is di e ence be ween equi ed and ac ual educa ion. This ype o
measu emen is e e ed o as an objec i e measu e.
2) Wo ke sel -assessmen – he wo ke s hemsel es speci y he quali ica ion equi ed o he
job answe ing he ques ion as e.g. “Wha kind o educa ion does a pe son need in o de o
pe o m you job?” Di e ence be ween ac ual and assessed educa ion is o e - o
184
unde educa ion. This ype o measu emen is e e ed o as a subjec i e measu e and i was
used in his pape .
3) F om ealized ma ches, whe e equi ed educa ion is de i ed om ac ual le el o wo ke s'
educa ion as a mean (o some imes mode) o hei educa ional a ainmen . O e educa ion hen
occu s when he le el o educa ion is mo e han one s anda d de ia ion abo e he mean;
simila ly, unde educa ion is one s anda d de ia ion below he mean. This me hod o
measu emen is called empi ical me hod.
Job analysis by expe s could b ing bes esul s ([13]). Howe e , his da a is a ely a ailable
and we can ind subjec i e measu e in mos o e quali ica ion analyses ([13], [16]). F om he
me a-analysis o 25 s udies o o o e quali ica ion ([13], p.153) we e ob ained 50 es ima es on
he incidence o o e quali ica ion and 36 es ima es o he incidence o unde quali ica ion.
The unweigh ed a e age o he incidence o o e quali ica ion is 23.3% (s anda d de ia ion
9.9%) and unweigh ed a e age o he incidence o unde quali ica ion is 14.4% (s anda d
de ia ion 8.2%). In he s udy o U.K. g adua e labou ma ke ([9]), 38% o g adua es we e
o e educa ed in hei i s job. This p opo ion ell o 30% a e six yea s. Resul s o he
Czech Republic can be ound in he s udy o 25 Eu opean coun ies ([12]) and a e as ollows:
49.5% o e educa ed; 44.3 unde educa ed.
Re u ns o educa ion a e usually calcula ed using equa ions simila o abo e p esen ed
equa ions. Resul s o 25 s udies included in me a-analysis o o e quali ica ion in he labou -
ma ke ([13], p.153) show ha e u n o a yea o educa ion equi ed was 7.9% in 1970s and
1980s; in 1990s a e o e u n o a yea o educa ion equi ed inc eased o abou 12%. Fo all
hese yea s, a e o e u n o a yea o o e quali ica ion was 2.6%, while he a e o e u n o a
yea o unde quali ica ion was –4.9%. De ailed esul s o e u ns o o e quali ica ion and
unde quali ica ion and also alues o incidence o o e quali ica ion and unde quali ica ion a e
in G oo ([13]). The s udy o Galasi ([12]) shows o 25 Eu opean coun ies esul s simila o
Table 1, howe e o he Czech Republic he e u ns o educa ion o equi ed yea is equal o
e u n o educa ion o a ained yea – bo h e u ns a e 7.1%. Pooled sample da a shows he
e u ns o educa ion o equi ed yea equal 9.7% and e u n o educa ion o a ained yea
equal 7.2%.
3 Da a
C oss-sec ion da a come om Eu opean Social Su ey, ound 5, yea 2010. Su eys we e
ca ied ou in 26 coun ies and o iginal numbe o esponden s in all su eys oge he was
52 458. All coun y samples a e ep esen a i e o all pe sons aged 15 and o e , ega dless o
hei na ionali y, ci izenship o language and indi iduals a e selec ed by s ic andom
p obabili y me hods. Fo his pape we e used da a o 21 EU coun ies (no da a we e
a ailable o Aus ia, I aly, La ia, Luxembou g, Mal a, Romania). F om his sample o
coun ies da a we e selec ed only o employees (omi ed we e sel -employees and
esponden s wi hou economic ac i i y, such as pensione s e c.) and his educed se con ains
11 137 esponden s (EU incl. Czech Republic). Sepa a e se o da a was c ea ed o he Czech
Republic wi h 544 cases ( ep esen a i e sample consis ed o 249 emales and 295 males).
Responden s epo ed, among o he hings, hei g oss sala y, educa ion, equi ed educa ion
o hei posi ion, yea s o expe ience and o he a iables. Requi ed quali ica ion o he
posi ion was ob ained by he ques ion “Abou how many yea s o educa ion o oca ional
schooling beyond compulso y educa ion would hey (possible candida es o you posi ion)
need?” O he independen a iables used in he eg ession included gende , coun y and age.
Basic desc ip i es a e in Tables 1 and 2.
185
Tab. 1: Basic s a is ics o he sample o he EU – means, s anda d de ia ions in pa en heses
Male
Female
S (yea s o educa ion)
12.53 (2.430)
12.86 (2.431)
Age (yea s)
41.69 (11.874)
42.18 (11.445)
Expe ience (yea s)
20.77 (12.258)
19.52 (11.610)
Mon hly sala y (EUR)
2300.26 (1997.98)
1635.77 (1426.96)
Sou ce: ESS5 [10], own calcula ions
Tab. 2: Basic s a is ics o he sample o he CZ – means, s anda d de ia ions in pa en heses
Male
Female
S (yea s o educa ion)
11.99 (1.660)
12.25(1.723)
Age (yea s)
40.86 (10.992)
41.73 (10.278)
Expe ience (yea s)
19.76 (11.249)
18.95 (10.951)
Mon hly sala y (EUR)
904.57 (445.07)
692.47(254.31)
Sou ce: ESS5 [10], own calcula ions
O e quali ica ion and unde quali ica ion a ios we e calcula ed using subjec i e measu e, i.e.
answe o he ques ion “Abou how many yea s o educa ion o oca ional schooling beyond
compulso y educa ion would hey (possible candida es o you posi ion) need?” These
answe s c ea ed alues o adequa e educa ion o he job and we e compa ed wi h educa ion
o he esponden s. Calcula ions based on hese answe s a e in he Table 3. Resul s in his
able a e consis en wi h inding o G oo ([13]) and Galasi ([12]), howe e pe cen ages o
o e quali ica ion o he Eu opean emales (o e 50%) a e qui e high and i seems ha i can
be a esul o high a es o unemploymen in he EU (especially in he Eu ozone coun ies),
when people a e – due o igh labou ma ke – willing o ake jobs bellow hei quali ica ions.
Resul s o he Czech Republic a e highe in he pa o unde quali ica ion – in he same ein
as abo e, i can be esul o be e si ua ion on he labou ma ke whe e also candida es wi h
lowe han necessa y quali ica ion can ob ain a job. A he same ime, he e can be also bias
owa ds highe le els o adequa e schooling, as people o e s a e equi emen s o hei job o
gi e mo e impo ance o hei posi ion. The esul is highe pe cen age o unde quali ied
wo ke s. Resul s in Table 4. show a e age yea s o o e schooling, unde schooling, yea s o
educa ion necessa y o he job, a e age age o esponden s and yea s o expe ience,
sepa a ely o EU coun ies and he Czech Republic. Values o he EU coun ies a e
gene ally highe , wi h he excep ion o highe o e schooling o Czech emales.
Tab. 3: Pe cen age dis ibu ion o adequa e quali ica ion, unde - and o e -quali ica ion
EU Coun ies
All
Male
Female
Unde quali ied
29.34
32.40
26.43
Adequa ely quali ied
22.43
21.36
23.42
O e quali ied
48.24
46.24
50.14
Czech Republic
Unde quali ied
41.85
41.03
42.86
Adequa ely quali ied
19.10
16.92
21.74
O e quali ied
39.04
42.05
35.40
Sou ce: ESS5 [10], own calcula ions
186
Tab. 4: Means o o e schooling, unde schooling, adequa e schooling, educa ion, age, yea s
o expe ience.
Yea s o
o e
schooling
Yea s o
unde
schooling
Yea s o
educa ion
necessa y
o job
Yea s o
ull- ime
educa ion
Age o
esponden
Yea s o
expe ience
EU COUNTRIES
All
N=11137
Mean
(S d. de ia ion)
2.86
(1.63)
1.95
(1.29)
12.51
(2.58)
12.70
(2.44)
41.94
(11.66)
20.12
(11.94)
Males
N=5393
Mean
(S d. de ia ion)
2.79
(1.58)
1.98
(1.38)
12.44
(2.61)
12.53
(2.43)
41.69
(11.87)
20.77
(12.26)
Females
N=5744
Mean
(S d. de ia ion)
2.93
(1.66)
1.92
(1.18)
12.58
(2.55)
12.86
(2.53)
42.18
(11.44)
19.52
(11.61)
CZECH REPUBLIC
All
N=544
Mean
(S d. de ia ion)
2.76
(1.55)
1.37
(.81)
11.89
(2.44)
12.11
(1.69)
41.26
(10.67)
19.39
(11.11)
Males
N=295
Mean
(S d. de ia ion)
2.59
(1.46)
1.23
(.59)
11.59
(2.28)
11.99
(1.66)
40.86
(10.99)
19.76
(11.25)
Females
N=249
Mean
(S d. de ia ion)
3.01
(1.66)
1.54
(.99)
12.25
(2.58)
12.25
(1.72)
41.73
(10.29)
18.95
(10.95)
Sou ce: ESS5 [10], own calcula ions
E ec s o o e quali ica ion and o unde quali ica ion on ea nings (i.e. on e u ns o adequa e
schooling, o e - and unde schooling) we e es ima ed using augmen ed Mince ’s ea nings
equa ion p oposed by Cohn ([7]) and p esen ed in his pape as an Equa ion (10). Resul s o
eg ession analysis using his model a e in he Tables 5, 6, and 7.
Tab. 5: Model summa y
Model Eq. (10)
R
R Squa e
Adjus ed
R Squa e
S d. E o o
he Es ima e
Du bin-
Wa son
0.544a
0.296
0.294
0.88903
0.708
a. P edic o s: (Cons an ), Yea s necessa y o job calcula ed o ull ime educa ion
(ADSCH), Yea s o o e schooling = SCHOOL-ADSCH, Yea s o
unde schooling=ADSCHOOL-SCHOOL, Adschool*Expe ience,
O e schooling*Expe ience, Unde schooling*Expe ience
b. Dependen Va iable: LN w
Sou ce: ESS5 [10], own calcula ions
Tab. 6: ANOVA
Model Eq. (10)
Sum o
Squa es
d
Mean
Squa e
F
Sig.
Reg ession
Residual
To al
1.842.232
6
307.039
781.480
0.000a
4372.909
11130
0.393
6215.141
11136
Sou ce: ESS5 [10], own calcula ions