Trends in the Male--Female Wage Gap: The 1980s Compared with the 1970s.
Robst, John
Solomon W. Polachek [*]
John Robst [+]
Despite a more rapid increase in female work behavior in the 1970s
than in the 1980s, the male-female wage gap in the 1970s narrowed
one-eighth as quickly as in the 1980s. This paper uses 1972 through 1988
Panel Study of Income Dynamics data to explain why women's wages
rose less quickly in the 1970s. It illustrates how new female labor
market entrants in the 1970s brought down mean female wages, thereby
driving down female wage growth. This decline played itself out in the
1980s as the relative growth in female labor market entrants diminished and as the proportion of women's potential work years actually
worked increased.
1. Introduction
An interesting pattern emerges when contrasting men's and
women's wage growth in the 1970s and 1980s. From 1979 to 1989,
female wages grew 1.7% per annum faster than male wages. This wage
growth in the 1980s resulted in a 17% narrowing of the gender wage gap.
On the other hand, from 1969 to 1979 female wages grew at a rate only
0.39% per year faster than male wages, resulting in very little
narrowing of the gender wage gap (Blau 1998). As noted by Smith and Ward
(1989), these contrasting trends puzzled many because it is well known
that female work behavior shot up more dramatically in the 1970s than in
the 1980s. If female wage growth is related to increasing labor force
activity, one would have expected the male--female wage gap to narrow
more in the 1970s than in the 1980s. The purpose of this paper is to
identify some of the reasons why the male-female wage gap narrowed more
quickly in the 1980s than in the 1970s, despite a deceleration of the
growth in female labor force activity in the 1980s.
What appears to be the case is that predominantly younger and less
experienced females entered the labor force in the 1970s. The entry of
women with relatively little human capital brought down the growth in
women's average human capital (O'Neill 1985), so that despite
the upsurge of women's labor force participation in the 1970s,
women's average human capital relative to men's increased more
slowly in the 1970s than in the 1980s. This relatively slower growth in
women's human capital appears to have played itself out in the
1980s both because the number of women joining the labor force slowed
and because women's labor force attachment as measured by the
proportion of potential work years actually worked increased (Blau
1998). With these trends, average female human capital increased in the
1980s, resulting in greater overall wage gains.
Because of the stark differences between the 1970s and 1980s, this
paper concentrates on distinguishing the factors that contribute to
men's and women's wage growth in the two decades. Despite the
substantial literature on the male-female wage gap, the interdecade
difference in the trend has not been adequately examined. In what
follows, this paper uses the Panel Study of Income Dynamics (PSID) to
illustrate the effects of the demographic changes alluded to above. [1]
First, it presents wage trends for the 1970s and 1980s. Second, it
provides direct measures of changes in human capital growth within each
decade. Third, to illustrate the importance of these demographic trends,
especially how new young labor market entrants bring down wages, it
shows that the higher relative female wage growth in the 1980s is
reduced and the relatively slower female wage growth in the 1970s is
enhanced when one controls for individual human capital characteristics.
These effects are illustrated first by including actual experie nce-type
variables in a regression whose coefficients measure wage growth, and
second by eliminating new entrants from 1970s and 1980s regression
analysis. The paper shows that with these controls, increases in female
average growth in both the 1970s and 1980s were more comparable than
previously thought.
2. Recent Literature on Trends in the Male-Female Wage Gap
This is not the first paper to recognize the trend in male-female
wage convergence. O'Neill(1985), Blau and Beller (1988), Smith and
Ward (1989), Goldin (1990), Katz and Murphy (1992), Wellington (1993),
O'Neill and Polachek (1993), Blau and Kahn (1997), and Blau (1998)
all note that women's wages have risen relative to men.
Smith and Ward (1989) find that female relative wages rose between
1920 and 1980 when adjusting for worker skills. Goldin (1990), piecing
together various data sources, finds a similar long-term narrowing.
According to her, "the ratio of female to male earnings in the
economy as a whole rose from 0.46 to 0.56 during the period 1890 to
1930, but was virtually stable from 1950 to around 1980" (p. 62).
Several studies focus on the 1970s, a period of rapid growth in
women's labor market activity. For example, Blau and Beller (1988),
using Current Population Survey (CPS) data, find that the ratio of
female-male earnings increases from 39.5 to 45.4% for all (full and
part-time) workers between 1971 and 1981. These 5.9 percentage points
(45.4 minus 39.5) amount to a 14.9% increase in relative female wages.
The earnings ratio increases at a slower rate for full-time workers,
from 58.1 to 6 1.0%, which is a 5% (or 2.9 percentage point) increase.
They attribute the rise in female earnings to "declining gender
role spe cialization and declining discrimination." O'Neill
(1985), also using CPS data, attributes the modest rise from the
mid-1970s until 1982 mostly to increases in female experience.
Other research covers substantial portions of both the 1970s and
1980s. Wellington (1993), using the PSID, finds that female relative
wages increase 4 percentage points (from 61 to 65% of male wages)
between 1976 and 1985, with about half the increase explained by changes
in average job tenure and work experience. O'Neill and Polachek
(1993) use CPS, National Longitudinal Survey, and PSID data to identify
the factors related to the decline in pay disparity from 1976 through
1987. The authors find that changes in schooling, the amount of
experience, and returns to experience account for a majority of the
decline in the wage gap.
Katz and Murphy (1992) examine a longer time frame, from 1963
through 1987, and also recognize the convergence of male and female
wages. They note that in a simple supply-and-demand framework, the
increased female labor supply would force women's wages downward.
The authors present evidence that demand for female labor rises
sufficiently over the 25 years to offset the increased supply. This
result is perhaps consistent with O'Neill and Polachek's
(1993) finding that women's rate of return to human capital
increased.
Recent studies focus on the 1980s, a period of rapid female
relative wage growth. For example, Blau and Kahn (1997) examine how
demand-and-supply shifts contribute to the declining male-female wage
gap in the 1980s. The authors use PSID data to show that women's
relative wages rise 1.1% per year and did so despite relative
supply-and-demand changes unfavorable to women. Improving relative
qualifications for women and declining unionization among male-dominated
blue-collar occupations lead to a narrowing of the gap. Finally, Blau
(1998) uses CPS data to examine women's labor force participation
rates and the gender wage gap from 1969 through 1994. Similar to prior
studies, she finds that female labor force participation increases
steadily since 1970. The male-female wage gap among full-time workers
shows little convergence during the 1970s. but women's relative
wages increase from 0.58 to 0.68 between 1979 and 1989. Women's
relative wages continue to grow in the 1990s, but at a slower rate. Her
study is uniqu e, as it highlights the interdecade difference in wage
convergence.
Studies that combine both the 1970s and 1980s do not address an
important issue: The earnings ratio data discussed in the introduction
suggest that the narrowing took place mostly in the 1980s, with very
little narrowing in the wage gap occurring during the 1970s. Although
Blau (1998) documents the difference in wage gains between the 1970s and
1980s, the reasons for the difference have yet to be rigorously addressed. As discussed above, O'Neill (1985), Smith and Ward
(1989), Goldin (1990), and Blau (1998) suggest that women's
relative wages would have grown faster in the 1 970s if not for the
influx of lesser-skilled women into the labor market. This paper tests
this hypothesis using data from the 1970s and 1980s.
3. Data
The data used to perform this analysis are the 1972-through-1988
waves of the PSID. [2] There are a number of issues regarding the data
that are worth mentioning. The sample consists of a panel following
individuals over 17 years. The statistical analysis includes respondents between the ages of 25 and 64 in each year they work full-time (at least
1500 hours). This paper confines itself to whites to avoid issues
relating to racial discrimination, and 25-64-yearolds to exclude those
in school and those moving in and out of retirement. The sample contains
20,531 observations from the 1970s, of which 27% are women. There are
24,452 observations from the 1980s, of which 33% are women.
Throughout this paper, wages refer to hourly wage rates. This is a
self-reported wage when workers are paid hourly, and one computed as
annual earnings divided by annual hours worked for salaried workers. A
key variable in the analysis is worker experience. Data on actual
experience is not collected regularly by the PSID, but all respondents
were asked in 1974 the number of years worked full-time since age 18.
For continuing respondents, we update the variable in each subsequent
year by augmenting experience if the individual worked full-time the
previous year. Experience for 1972 and 1973 is computed by subtracting
from 1974 experience. Other important variables include categorical variables denoting labor market entrants and leavers, and continuous
workers. A labor market entrant is defined as someone who has zero labor
earnings in year t - 1, but works full-time in year t. Thus, the
individual (re)joins the workforce in year t, and works at least 1500
hours during the year. A labor market leaver works ful l-time in year t,
but does not work in year t + 1. Thus, a labor market leaver stops
working in year t, but not before accumulating at least 1500 hours. We
define a continuous worker as someone who is employed, either part-time
or full-time, in all 17 years of the panel. Thus, a continuous worker is
employed in each year, but is part of the statistical analysis only in
those years employed full-time. Although we limit the statistical
analysis to full-time workers, we do not base the definition of a
continuous worker solely on full-time work, since few women work
full-time throughout the sample period. The variable denoting labor
market entrants will enable us to identify individuals who joined the
labor force during year t, and have been hypothesized to lower the
average skill level of female workers and slow relative female wage
growth. The Appendix contains more details on the data.
4. Interdecade Trends
From 1970 to 1980, women's labor force participation grew from
42.6 to 51.2% (U.S. Department of Commerce 1990, Table 625), and indices
of occupational segregation decreased 6.6%. [3] In addition, the
proportion of women in professional schools increased from 5.4 to 26.6%
(Anderson 1990), and enforcement of antidiscrimination laws increased
20-fold by some measures. [4] On the other hand, in the 1980s
affirmative action activities actually fell, [5] the rise in female
enrollment in professional schools tapered off (Anderson 1990), declines
in occupational segregation also slowed slightly (Blau, Simpson, and
Anderson 1997), and the growth in female labor force participation
decelerated (U.S. Department of Commerce 1992, Table 609).
The slower growth in occupational equality and the decline in
affirmative action both imply a less rapid rise in women's wages in
the 1980s compared with the 1970s. Because occupational segregation
limits women's wages, the greater declines in segregation should
result in greater improvements in women's relative wages during the
1970s. Similarly, affirmative action programs are also argued to improve
women's labor market status, and greater government enforcement of
equal employment legislation should yield larger relative wage gains in
the 1970s.
The interdecade differences in the remaining two trends mentioned
above, female labor force participation and female professional school
enrollments, have unclear implications for women's wage growth. On
the basis of life cycle models, human capital acquisition increases with
the payoff period. One's payoff period is related directly to
lifetime labor force participation, which in turn is dependent on
one's labor market activities. Because labor market activities rose
more sharply in the 1970s, one might expect a more rapid rise in human
capital and hence wages during the 1970s. However, as indicated above,
the large influx of unskilled workers may have actually lowered
women's average experience in the 1970s, with the increased labor
force attachment increasing human capital by the 1980s. Similarly, the
influx of unskilled workers would slow wage growth if workers must pay
the costs of general training or share in the costs of firm-specific
training (Kuratani 1973; Hashimoto 1981). The increased professiona l
school enrollments are not reflected in women's wages until the
students become employed. Thus, the 1970s trends in labor force activity
and professional school enrollments may have increased females'
relative wage growth in the 1970s or 1980s.
To illustrate the wage trends, wage ratios are plotted pre- and
post-1980. Figure 1 contains piecewise linear and spline functions using
wage data from the PSID. From 1972 to 1980, the ratio of female mean to
male mean hourly wages increases only slightly from 0.62 to 0.64, but
from 1980 to 1988 it increases more quickly from 0.64 to 0.72. Both the
linear piecewise and spline functions show that wage convergence is very
modest in the 1970s but increases dramatically in the 1980s.
One explanation discussed in O'Neill (1985), Smith and Ward
(1989), and Goldin (1990) for these results is that increases in
women's labor market activities can bring down mean levels of
women's human capital because new labor market entrants typically
have low levels of human capital. In addition, given women's
growing life-cycle labor force attachment, the new generally younger
cohorts tend to have greater work expectations, eventually leading to
enhanced wages relative to men, whose lifetime labor force participation
has been shrinking. This paper provides evidence of how these assertions
regarding labor force attachment and human capital explain the different
trends in the 1970s and 1980s.
5. Labor Market Entrants and the Interdecade Trend
If it is true that much of the difference in male-female wage
growth is explained by new labor market entrants as well as increased
women's labor force attachment, one can assess whether the
differences in growth rates between the 1970s and 1980s narrow once one
controls for these factors. If the differences in wage growth diminish,
then these factors play a role.
To pursue this empirical test, we analyze PSID wage data from 1972
through 1988. The analysis proceeds in several steps. First, we explore
differences in men's and women's human capital levels for each
decade. Second, we run wage regressions to see if adjusting for these
different human capital levels explains the interdecade differences in
wage convergence trends. Third, we test more directly whether new
entrants have an effect.
Table 1 presents data on human capital attributes in three years
(1972, 1980, and 1988). As is commonly found, several attributes
associated with human capital accumulation are greater among men than
women. Both men and women have about the same potential experience
(approximately 20 years) defined in the standard way (age -- schooling
-- 6). However, women have far less actual experience, about 12-14 years
compared with 18-20 years for men. Men tend to work about five more
hours per week, whereas women are more likely to move into or out of the
labor force. We denote workers moving into the labor force to be labor
market entrants and those moving out of the labor force to be labor
market leavers.
Several differences across time are noteworthy. Despite the rapid
increase in female labor force participation during the 1970s,
women's actual work experience as a percentage of potential
experience remained approximately the same between 1972 and 1980 at
0.60. The proportion of years worked increased to 0.66 by 1988. The
interdecade difference is caused by the influx of women into the labor
market in the 1970s limiting the growth in average female experience.
Consistent with this argument, women are much more likely than men to be
labor market entrants in 1972 and 1980, with the difference narrowing
substantially by 1988. The more rapid growth in female sample size is
also consistent with the rapid growth in female labor force
participation. For example, the male sample size increases by about 50%
between 1972 and 1988, but more than doubles for women. The proportion
of working women who are married also increases over time, reflecting
the increased presence of married women in the labor force.
As seen in Table 2, individuals who enter or leave the labor force,
especially females, have less education, less experience, lower labor
force attachment, and a higher likelihood of being married than women
continually at work. With the 1980s decreases in these less attached
workers, and especially with the decline in the number of female labor
market entrants, women's work experience increases relative to
men's in the 1980s. It is interesting to note that almost as many
women entered or left the labor market as worked continuously over the
17 years. Among men, far more were continuous workers than entrants or
leavers.
To corroborate these findings, Table 3 presents data on interdecade
changes in male-female human capital variables. The trends are from
spline regressions, estimated using individual data from 1972 through
1988, with each human capital variable regressed on time with a knot at
1980. In the 1970s, despite (or because of) increased female labor force
participation, average experience levels fall 0.38 years annually for
women and 0.27 years for men. However, in the 1980s they rise for women
(0.10 of a year annually), but decline annually by 0.02 of a year for
men. Similarly, although there is a slight increase in the number of
males joining the labor force in the 1970s, the number of female
entrants increases more rapidly. In the 1980s, the number of male
entrants continues to rise, whereas the number of female entrants falls.
Thus, women's average experience declines (both in absolute terms and relative to men) in the 1970s as the number of young less-skilled
entrants increases throughout the decade. This is c onsistent with the
surge of new female labor market entrants in the 1970s driving down mean
human capital levels. In the 1980s, the number of female entrants falls
and average experience levels increase (both in absolute terms and
relative to men).
There is further evidence of greater female labor force attachment
as the proportion of labor market leavers and average years of home time
(defined as potential experience minus actual experience) declines in
both decades. Also, as noted above, the proportion of female workers who
are married increases in both decades as more married women enter the
labor market.
One approach to test whether these human capital changes are
sufficient to explain the differential 1970s and 1980s patterns of
male--female wage convergence is to use wage functions to see if the
interdecade difference is reduced when one controls for gender
differences in human capital levels. In contrast to past literature such
as Mincer and Polachek (1974) and Goldin and Polachek (1987), this paper
concentrates not on wage levels, but on wage growth. To avoid errors of
measurement problems alluded to by Freeman (1984) and Polachek, Wunnava,
and Hutchens (1987), and explicitly documented in Ashenfelter and
Krueger (1994) that can plague fixed-effect (FE) first-difference and
mean deviation analyses, wage growth estimates are obtained by
interacting a time trend with the gender variable in a pooled
cross-section time-series earnings function. [6] The coefficient of this
gender--time trend interaction term measures the time rate of change of
relative female-to-male wages holding constant individual demograp hic
characteristics.
One possibility is to estimate piecewise linear regressions for the
1970s and 1980s, and compare the gender--time trend interactions.
However, such an approach would allow an inherent discontinuity in the
year 1980. To eliminate such a discontinuity, spline functions are fit
with a knot at year l980. [7] The specification is
ln [W.sub.it] = [[beta].sub.0] + [[beta].sub.1]t +
[[beta].sub.2][F.sub.i] + [[beta].sub.3][F.sub.i]*t +
[[beta].sub.4][X.sub.it] + [[epsilon].sub.it] (1)
where [W.sub.it] is the hourly wage for person i in year t,
[F.sub.i] denotes person i being a woman, [F.sub.i]*t is the interaction
term, [X.sub.it] is a vector of exogenous characteristics for person i
in year t, and [[epsilon].sub.it] is a normally distributed error term
with the usual properties. [8] Assuming that the [[epsilon].sub.it]
terms are not correlated across time, and [F.sub.i] and [X.sub.it] are
uncorrelated with [[epsilon].sub.it], then ordinary least squares can be
used under the usual assumptions concerning [[epsilon].sub.it]. [9] The
resulting estimates for [[beta].sub.3] are given in Table 4 for the
various definitions of X as indicated. [10] Table 4 also reports
t-statistics to determine whether the interdecade trends in the wage gap
are statistically different. The simplest specification (the one in
which X is the empty set) is given in row 1. This is an estimate of the
unadjusted time rate of change of female relative to male hourly wages
in the two decades.
Adding human capital variables, as in rows 2 to 6 (columns 2 to 6
of Appendix Tables A and B), yields convergence rates adjusting for
schooling and experience. [11] A detailed account of labor market
entrants is contained in rows 7 to 18. Accordingly, row 2 presents an
average convergence measure for individuals of the same schooling level,
yielding 0.26% between 1972 and 1980, and 1.35% between 1980 and 1988;
row 3 for individuals of the same potential experience (age -- schooling
-- 6), yielding 0.39% between 1972 and 1980, and 1.38% between 1980 and
1988; row 4 for individuals with the same hours worked, yielding 0.54%
between 1972 and 1980, and 1.38% between 1980 and 1988.
The results in row 5 are for individuals with the same actual
experience. The widening gap between male and female average experience
levels in the 1970s suggests that controlling for experience should
increase male-female wage convergence. Indeed, women's wages grow
0.59% between 1972 and 1980. Differences in male and female average
experience narrowed in the 1980s, thus accounting for experience reduces
the estimated male-female wage convergence to 1.24% between 1980 and
1988. Similar convergence rates (row 6) are found when, as in past
segmented earnings function research (Mincer and Polachek 1974),
potential work experience (p) is divided between years of actual
experience (a) and home time (h). [12] One should note that the home
time coefficient exhibits commonly found negative "atrophy"
coefficients (Appendix Tables 1 and 2, column 6).
Explicitly adjusting for more detailed degrees of labor market
intermittence, specifically whether the respondent works full-time in
year t after being out of the workforce in year t - 1 (row 7), whether
the respondent leaves in year t + 1 after working full-time in year t
(row 8), and both joining and leaving combined (row 9), has an effect on
convergence rates. These effects are over and above the effects captured
by the usual human capital variables in rows 2 through 6, so that the
additional "entrant" and "leaver" variables are
picking up something more than past labor market experience.
Finally rows 10 through 18 take account of those who remained in
the labor force each year between 1972 and 1988 (P), those who entered
and immediately dropped out (E.L), and those who entered and worked
through 1988 (E.P). A gender-marital status (F.M) interaction term,
especially important in studies omitting actual experience, is also
included.
A comparison of the 1970s and 1980s convergence rates is telling:
When unadjusted rates are compared, women's relative wages
unambiguously grow more quickly in the 1980s than in the 1970s (1.48%
vs. 0.14% per annum). This difference falls as human capital variables
are added to the specification. Holding schooling constant (row 2)
reduces the differential from 1.34% (1.48 - 0.14) to 1.09% (1.35 -
0.26), adding potential experience (row 3) reduces the differential to
0.99%, whereas adding hours worked reduces the differential to 0.84%.
Row 5 holds constant actual experience and indicates a 0.65% interdecade
difference in male-female wage convergence for equally experienced men
and women. When further accounting for individuals who enter or exit the
labor force (row 9), the 1970s female relative wage growth (0.58%) [13]
is 0.48 percentage points below the 1980s wage growth (1.06%). Thus,
accounting for human capital variables and identifying individuals who
enter and exit the labor force explains 64% [(1.34 - 0.48)/1.34] of the
interdecade difference in wage convergence.
Adding the marital status-gender interaction term, usually a strong
determinant of male-female wage differences when using potential instead
of actual experience, does little to narrow the interdecade difference.
Similarly introducing the entrant-leaver (E.L) interaction term to
account for new entrants who leave almost immediately (actually in the
following year) and the E-P interaction term to account for those who
enter and remain in the labor market in each subsequent year also has no
effect on wage convergence. [14]
The spline results imply that interdecade differences in labor
force experience, most likely coming about because of the rise in new
labor market entrants, represent an important factor explaining the
difference in male-female wage growth. One reason for decreased female
relative experience in the 1970s is that relatively more women joined
the labor market in the 1970s, thus lowering mean experience levels.
However, the younger women entering the labor force in the 1 970s tend
to have greater work expectations, eventually leading to enhanced wages
relative to men, whose lifetime labor force behavior is shrinking.
If the effects of labor market entrants are as important as
indicated, then their effects should be discernable with other empirical
tests. In what comes next, two alternative tests are presented. Test one
reestimates the 1970s and 1980s spline regressions presented in Table 4,
but eliminates individuals who enter or exit the labor force. If females
who enter and exit the labor force disproportionately bring down
women's wages, then eliminating them should yield a wage narrowing
closer to that observed in the 1980s. This is done in the columns
denoted by footnote b in Table 4. Indeed, omitting individuals who enter
or exit the labor force yields convergence rates in rows 1 through 6
that explain an additional 12 to 16% of the 1970s and 1980s
differential. [15] These results also suggest that the effect of labor
market entrants and leavers on trends in the wage gap is more than
simply an "experience effect." For example, when including
entrants or leavers, accounting for schooling, experience, hours, and
home time (row 6) reduces the interdecade difference in relative wage
growth to 0.60% (1.12 - 0.52). Excluding entrants and leavers reduces
the difference to 0.44% (1.10 - 0.66).
Test two is more complicated. Many studies (e.g., Oaxaca 1973)
predict female wages on the basis of the female wage structure and male
characteristics, with the difference between women's actual wages
and the predicted wage being the explained portion of the wage gap.
Instead of comparing male and female wages, we use this approach to
examine male and female wage growth by predicting 1970s wage growth on
the basis of the 1970s wage structure and 1980s changes in
characteristics. In essence, we determine what female relative wage
growth would have been if workers in the 1970s behaved like workers in
the 1980s.
To perform the test, we first estimate separate male and female
spline regressions. The 1970s coefficients are reported in column 1 of
Table 5. Next we determine how the 1970s changes in male and female
characteristics in column (2) (from Table 3) contribute to actual wage
growth (column 3). The contributions to wage growth are computed by
multiplying each coefficient by the 1970s trend in the characteristic,
and summing the variables' contributions to provide total male and
female wage growth during the time frame. Consistent with the analysis
above, the combined effect of labor market entrants and leavers is
responsible for female wage growth falling 0.008% annually. Declining
average experience results in a wage growth decline of 0.28% (-0.75 +
0.47) for women, and 0.3 1% for men. Women's wages increase 9.30%
per year, whereas men's wages rise 8.99%, implying that the wage
gap closes by 0.31% (9.30 - 8.99) annually between 1972 and 1980.
For women, if it is true that new workers' low human capital
values drive down wages in the 1970s, then greater wage growth would be
observed if women of the 1970s were more like women of the 1980s. We
predict what wage changes would occur if male and female characteristics
were to change as they did in the 1980s. The 1980s trends in the
characteristics are reported in column 4, with the variables'
contribution to predicted wage growth in column 5. In the 1980s, since
the number of labor market entrants and leavers is falling, instead of
wages falling by 0.008%, wages would rise annually by about 0.07%.
Increasing average experience would increase wage growth by 0.14 for
women. If men and women behaved in the 1970s as they did in the 1980s,
predicted wage growth would be 9.80% for women and 8.94% for men,
implying a 0.86% closing of the wage gap.
The difference between the growth rates in columns 3 and 5
estimates how much more (or less) quickly wages would have risen in the
1970s were worker characteristics to change as they did in the 1980s.
Combining the effects of each variable indicates that wages would rise
0.50% per year more quickly for women in the 1970s, but 0.05% per year
more slowly for men. Both equations together imply a 0.55% per year
convergence of male-female wages. This is about 44% of 1.34% difference
in the interdecade rates of convergence. [16]
6. Conclusions
The implications of this paper are clear: Female and male wage
differences narrowed in the 1970s and 1980s. However, in the 1980s this
narrowing far exceeded the narrowing in the 1970s, despite the more
dramatic progress made by women in the 1960s and the 1970s compared with
the 1980s regarding labor force attachment. The rapid number of new
entrants driving down the growth of mean human capital values in the
1970s causes much of these interdecade differences. By eliminating these
labor market entrants of the 1970s and by taking account of interdecade
human capital changes, the difference in relative female-to-male wage
growth is substantially reduced.
(*.) Department of Economics, SUNY-Binghamton, Binghamton, NY
13902, USA; E-mail polachek@binghamton.edu.
(+.) Health Care Financing Administration, 7500 Security Boulevard,
Mail Stop C3-19-26, Baltimore, MD 21244, USA; E-mail jrobst@hcfa.gov;
corresponding author.
We thank three anonymous referees and Kathy Hayes for very helpful
comments, Moon-Kak Kim for proficient research assistance, and June O'Neill for valuable discussion. The opinions in this paper are the
authors' and do not represent those of the Health Care Financing
Administration.
(1.) PSID data can be used to examine trends in the male-female
wage gap well
into the 1990s. Our goal is to examine the different trends in the
male-female wage gap during the 1970s and 1980s, not to provide an
analysis of the current status of women.
(2.) A detailed description of the PSID can be obtained from the
Institute of Social Research (1984). We begin with 1972 because missing
experience data resulted in small sample sizes for 1970 and 1971.
whereas the sample period ends in 1988 to maintain a balanced sample for
each decade.
(3.) Blau and Ferber (1986). Also see Beller (1984, p. 27)
indicating that the proportion of male-dominated occupations decreased
from 62 to 55%, and integrated occupations increased from 6 to 11%.
(4.) Computed from Smith and Welch (1984, p. 273), who indicate
that in 1970 only 340 cases were filed in Federal Courts under Title
VII, whereas 6250 were filed in 1981.
(5.) Smith and Welch (1984) show that the Office of Federal
Contract Compliance's budget dropped from $48.2 million to $43.1
million just from 1980 to 1981.
(6.) Worker tenure, one variable often important in typical
earnings functions, is intentionally omitted to avoid errors of
measurement biases inherent in the PSID tenure variable (Topel 1991).
(7.) We also estimated the linear piecewise regressions and found
similar results.
(8.) Another alternative to FE is to assume that the individual
effects follow a random distribution. Such a model would be specified as
in Equation I but with the addition of an individual-specific term
[[micro].sub.i] typically assumed to be normally distributed and
correlated with at least one of the regressors. Estimating such an
earnings function would entail generalized least squares estimation with
instrumental variables for the regressors correlated with
[[micro].sub.i]. Similarly, another concern is that the independent
variables may be correlated with [[epsilon].sub.it], indicating
endogenous regressors. Numerous studies have argued that labor market
experience and home time may be endogenous, and determined in part by a
worker's wages. Clearly, the decision to become a labor market
entrant depends on wage offers, and becoming a labor market leaver is
likely to depend on current wages. The problem with using such
estimation techniques is that the parameters vary widely depending on
the instruments ( Kim and Polachek 1994).
(9.) Optimally, we would like to test and possibly correct for
serial correlation. However, given that the sample is restricted to
full-time workers, many women have relatively few observations in
consecutive years. These gaps in years limit our ability to test and
correct for serial correlation. This is particularly true for
intermittent workers, the group in which we are most interested.
(10.) The complete coefficient Set for all the variables is
contained in Appendix Tables A and B. Each Appendix table column
corresponds to the same row of Table 4 in the text. Thus in row 1 the
0.14% convergence of male-female wages is contained in column 1 of
Appendix Table A.
(11.) While we focus on experience acquired through full-time work
and include a standard quadratic function in the specification, there
are many alternatives. For example, Light and Ureta (1995) examine
gender differences in early-career wage growth measuring experience
through an array of variables denoting the fraction of time worked
during each year. The authors find that estimated wage growth is greater
for both men and women when using this detailed measure of work
experience compared with quadratic functions of potential or actual work
experience. We use experience measured in years because we do not have
annual hours worked before 1971, only years of experience.
(12.) Home time is defined as potential experience (age --
schooling - 6) minus actual experience. Home time measures the total
number of years an individual did not work since leaving school.
(13.) A [t.sup.2] term was included to adjust for potential
nonlinearities in the overall time trend without significant change in
the results.
(14.) Sample selection issues may be important given women's
lower labor force participation rates. Thus, we included selection
controls for women's labor force participation. Two tests were
performed, the first including selection controls for women's
participation in the labor market and the second including selection
controls for women's participation in the full-time labor market.
The results were very similar to those reported in the text.
(15.) Entrants are eliminated in the year they join. No doubt
eliminating them for a greater number of periods would explain more.
However, at one point reentrants catch up (Mincer and Ofek 1982).
(16.) Reversing the process using the 1980s equations yields pretty
much the same results. Applying the 1970s data to the male 1980s
equation raises wage growth 0.10% per annum, but applying the 1970s data
to the 1980s female equation lowers wage growth 0.54%. The net effect is
a 0.64% per annum decline in male-female wage convergence. Forty-eight
percent of the interdecade difference in convergence is explained.
References
Anderson, Charles. 1990. 1989-1990 Fact book on higher education.
New York: Macmillan Publishing Co. for the American Council on
Education.
Ashenfelter, Orley, and Alan Krueger. 1994. Estimates of economic
returns to schooling from a new sample of twins. American Economic
Review 84:1157-73.
Beller, Andrea. 1984. Occupational segregation and the earnings
gap. In Comparable worth: Issue for the 80's Washington, DC: U.S.
Civil Rights Commission, pp. 23-33.
Blau, Francine. 1998. Trends in the well-being of American women,
1970-1995. Journal of Economic Literature 36:112-65.
Blau, Francine, and Marianne Ferber. 1986. The economics of women,
men, and work. Englewood Cliffs, NJ: Prentice Hall.
Blau, Francine, and Andrea Beller. 1988. Trends in earnings
differentials by gender, 1971-1981. Industrial and Labor Relations
Review 41:513-29.
Blau, Francine, and Lawrence Kahn. 1997. Swimming upstream: Trends
in the gender wage differential in the 1980s. Journal of Labor Economics 15:1-42.
Blau, Francine, Patricia Simpson, and Deborah Anderson. 1997.
Continuing progress? Trends in occupational segregation in the United
States over the 1970s' and 1980s Feminist Economics 4:29-72.
Freeman, Richard. 1984. Longitudinal analysis of the effects of
trade unions. Journal of Labor Economics 2:1-26.
Goldin, Claudia. 1990. Understanding the gender gap: An economic
history of American women. Oxford: Oxford University Press.
Goldin, Claudia, and Solomon Polachek. 1987. Residual differences
by sex: Perspectives on the gender gap in earnings. American Economic
Review: Papers and Proceedings 77:143-51.
Hashimoto, Masanori. 1981. Specific human capital as a shared
investment. American Economic Review 71:476-82.
Institute of Social Research. 1984. User guide to the Panel Study
of Income Dynamics. Ann Arbor: Inter-University Consortium for Political
and Social Research, The University of Michigan.
Katz, Lawrence, and Kevin M. Murphy. 1992. Changes in relative
wages, 1963-1987: Supply and demand factors. Quarterly Journal of
Economics 107:35-78.
Kim, Moon-Kak, and Solomon W. Polachek. 1994. Panel estimates of
male-female earnings functions. Journal of Human Resources 29:406-28.
Kuratani, Masatoshi. 1973. A theory of training, earnings and
employment in Japan. Ph.D. Dissertation, Columbia University, New York,
NY.
Light, Audrey, and Manualita Ureta. 1995. Early-career work
experience and gender wage differentials. Journal of Labor Economics
13:121-54.
Mincer, Jacob, and Haim Ofek. 1982. Interrupted work careers:
Depreciation and restoration of human capital. Journal of Human
Resources 17:3-24.
Mincer, Jacob, and Solomon Polachek. 1974. Family investments in
human capital: Earnings of women. Journal of Political Economy Part II,
S76-S108.
Oaxaca, Ronald, 1973. Male-female differentials in urban labor
markets. International Economic Review 14:693-709.
O'Neill, June. 1985. The trend in the male female wage gap in
the United States. Journal of Labor Economics 3:S91-S116.
O'Neill, June, and Solomon W. Polachek. 1993. why the gender
gap in wages narrowed in the 1980s. Journal of Labor Economics
11:205-28.
Polachek, Solomon W. Phanindra Wunnava, and Michael Hutchens. 1987.
Panel estimates of union effects on wages and wage growth. Review of
Economics and Statistics 69:527-31.
Smith, James, and Finis Welch. 1984. Affirmative action and the
labor market. Journal of Labor Economics 2:269-98.
Smith, James, and Michael Ward. 1989. Women in the labor market.
Journal of Economic Perspectives 3:9-23.
Topel, Robert. 1991. Specific capital, mobility and wages: Wages
rise with seniority. Journal of Political Economy 99:145-76.
U.S. Department of Commerce. 1990. Statistical abstract of the
United States. Washington, DC: U.S. Government Printing Office, Table
625.
U.S. Department of Commerce. 1992. Statistical abstract of the
United States. Washington, DC: U.S. Government Printing Office, Table
609.
Wellington, Alison J. 1993. Changes in the male/female wage gap:
1976-1985. Journal of Human Resources 28:383-411.
Average Levels of Male
and Female Labor Market
Characteristics
Full-Time White Workers
Ages 25-64,
1972-1988 Panel Study of
Income Dynamics
Male
Characteristics [a] 1972 1980 1988
Schooling 12.4 13.0 13.6
Age 40.6 38.6 38.8
Potential experience 22.1 19.6 19.3
Actual experience 20.8 18.4 18.3
Hours worked per week 46.2 44.7 45.5
Labor force entrant 0.002 0.003 0.007
Labor force leaver 0.005 0.005 0.006 [b]
Continuous worker 0.45 0.44 0.33
Married 0.94 0.90 0.85
Real wage (1983 dollars) 12.59 12.18 12.21
Number of individuals 1436 1852 2176
Female
Characteristics [a] 1972 1980 1988
Schooling 12.4 12.8 13.5
Age 42.9 39.0 38.5
Potential experience 24.6 20.2 19.0
Actual experience 14.8 11.9 12.5
Hours worked per week 38.4 38.1 39.7
Labor force entrant 0.019 0.018 0.011
Labor force leaver 0.012 0.014 0.014 [b]
Continuous worker 0.20 0.14 0.14
Married 0.63 0.72 0.76
Real wage (1983 dollars) 7.74 7.79 8.78
Number of individuals 486 766 1239
(a.)Labor force entrant = 1 if the individual did not work in year
t - 1 but worked in year t; labor force leaver = 1 if the individual
worked in year t but did not work in year t + 1; continuous worker = 1
if the respondent worked continuously throughout the sample.
(b.)1987 value.
Average Levels of Male and Female Labor
Market Characteristics: Labor Force
Entrants, Continuous Workers, and Labor
Force Leavers
Full-Time White Workers Ages
25-64, 1972-1988 Panel Study
of Income Dynamics
Male
Characteristics Entrants Leavers
Schooling 12.6 11.9
Age 39.7 47.9
Potential experience 21.1 30.0
Actual experience 17.7 27.6
Hours worked 49.2 43.9
Married 0.93 0.92
Real wage 6.07 9.62
No. of individuals 144 224
No. of observations 158 248
Female
Characteristics Continuous Entrants Leavers Continuous
Schooling 13.3 12.2 12.3 13.1
Age 40.7 37.2 41.3 42.1
Potential experience 21.4 19.1 23.0 23.1
Actual experience 20.6 7.4 11.7 15.1
Hours worked 45.5 39.2 36.8 38.0
Married 0.91 0.85 0.83 0.75
Real wage 13.30 4.76 6.58 8.51
No. of individuals 886 201 189 237
No. of observations 13,232 220 203 2640
Average Annual Changes in Male and
Female Labor Market Characteristics [a]
Full-Time White Workers
Ages 25-64, 1972-1988
Panel Study of Income
Dynamics
Male
72-80 80-88 Change
Characteristics [b] (1) (2) (2) - (1)
Schooling 0.0700 0.0681 -0.0019
Potential experience -0.2992 -0.0545 0.2447
Actual experience -0.2715 -0.0247 0.2468
Hours worked -0.2022 0.1078 0.3100
Labor force entrant 0.00002 0.0004 0.0004
Labor force leaver -0.0001 0.0001 0.0002
Home time -0.0487 -0.0044 0.0443
Proportion married -0.0040 -0.0045 -0.0005
Female
72-80 80-88 Change
Characteristics [b] t-stat (3) (4) (4) - (3) t-stat
Schooling 0.20 0.0506 0.0889 0.0383 3.00
Potential experience 6.01 -0.6050 -0.1066 0.4985 7.86
Actual experience 6.33 -0.3751 0.0966 0.4717 9.94
Hours worked 8.09 -0.0299 0.1974 0.2274 5.76
Labor force entrant 1.58 0.0001 -0.0014 -0.0015 2.23
Labor force leaver 0.55 0.0002 -0.0012 -0.0014 1.81
Home time 4.55 -0.2356 -0.1871 0.0485 1.02
Proportion married 0.42 0.0109 0.0046 -0.0063 2.51
(a.)Average annual changes are computed from spline regressions
where the relevant variable is regressed on time with a knot at t =
1980. t-Statistics are reported for the null hypothesis of similar
trends in each decade.
(b.)Variable definitions: schooling = years of schooling; actual
experience = years worked full-time since age 18; hours worked = total
hours worked during the year; labor force entrant = 1 if the individual
did not work in year t - 1, but worked in year 1; labor force leaver = 1
if the individual worked in year t, but did not work in year t + 1; home
time = potential experience (age - schooling - 6) minus actual
experience (constrained to be [greater than or equal to]0); proportion
married = the proportion of the sample that is married.
Annual Relative Female-
to-Male Wage Growth [a]
Full-Time White Workers
Ages 25-64, 1972-1988
Panel Study of Income
Dynamics Spline Results [b]
Row Control Variables 1972-1980
1 F, t 0.14%
2 F, t, s 0.26
3 F, t, s, p, [p.sup.2] 0.39
4 F, t, s, p, [p.sup.2], hrs 0.54
5 F, t, s, a, [a.sup.2], hrs 0.59
6 F, t, s, a, [a.sup.2], hrs, H 0.52
7 F, t, s, a, [a.sup.2], hrs, H, E 0.54
8 F, t, s, a, [a.sup.2], hrs, H, L 0.56
9 F, t, s, a, [a.sup.2], hrs, H, E, L 0.58
10 F, t, s, a, [a.sup.2], hrs, H, E, L, FM 0.57
11 F, t, s, a, [a.sup.2], hrs, H, E, L, P 0.57
12 F, t, s, a, [a.sup.2], hrs, H, E, L, P, E.P 0.57
13 F, t, s, a, [a.sup.2], hrs, H, E, L, P, F.M 0.58
14 F, t, s, a, [a.sup.2], hrs, H, E, L, E.L 0.58
15 F, t, s, a, [a.sup.2], hrs, H, E, L, E.L, F.M 0.57
16 F, t, s, a, [a.sup.2], hrs, H, E, L, E.L, P 0.57
17 F, t, s, a, [a.sup.2], hrs, H, E, L, E.L, P, E.P 0.57
18 F, t, s, a, [a.sup.2], hrs, H, E, L, E.L, P, F.M 0.56
Row 1980-1988 t-stats
1 0.27% [c] 1.48% 1.39% [c] 2.93 2.45
2 0.41 [c] 1.35 1.29 [c] 2.54 2.04
3 0.55 [c] 1.38 1.31 [c] 2.32 1.79
4 0.68 [c] 1.38 1.31 [c] 2.05 1.54
5 0.72 [c] 1.24 1.20 [c] 1.61 1.20
6 0.66 [c] 1.12 1.10 [c] 1.51 1.09
7 1.06 1.30
8 1.12 1.38
9 1.06 1.20
10 1.06 1.22
11 1.04 1.17
12 1.04 1.17
13 1.02 1.09
14 1.06 1.19
15 1.05 1.21
16 1.04 1.17
17 1.04 1.17
18 1.04 1.19
Key: F = female; t = time trend; s = years schooling; p = potential
experience (age - schooling - 6); [p.sup.2] = potential experience
squared; hrs = hours worked per week; a = actual experience; [a.sup.2] =
actual experience squared; E = labor force entrant; L = labor force
leaver; P = continuous worker throughout the panel; M = a categorical
variable, I denotes married; H = years of home time (p - a); F.M =
interaction of female and marital status; E.P = whether a continuous
worker after joining the panel; E.L = interaction of entrant and leaver.
(a.)Annual change in the wage gap; measured as the interaction of a
time trend and a categorical variable denoting female in a pooled
cross-section time-series earnings function. Wages are deflated by the
consumer price index.
(b.)The two time periods are pooled and a single regression
estimated that forces continuity at t = 1980. t-Statistics are reported
for the null hypothesis that wage convergence is similar in each decade.
(c.)Annual change in the wage gap omitting labor market entrants
and leavers from the sample.
1970s Wage Growth with 1980s Annual Trends [a]
1972-1988 Panel Study of
Income Dynamics, Full-Time
White Workers Ages 25-64 Contribution
1970s 1970s to Wage
Coefficients Trends Growth
(1) (2) (3)
Women
Constant 0.3740
Time trend 0.0909 1 0.0909
Schooling 0.0708 0.0506 0.0036
Actual exp 0.0200 -0.3751 -0.0075
Exp [2] -0.0003 -15.5 0.0047
Home time -0.0046 -0.2356 0.0011
Hours -0.0109 -0.0299 0.0003
Joiner -0.3662 0.0001 -0.00004
Leaver -0.1877 0.0002 -0.00004
Total 0.0930
Men
Constant 0.7331
Time trend 0.0847 1 0.0847
Schooling 0.0758 0.0700 0.0053
Actual exp 0.0409 -0.2715 -0.0111
Exp [2] -0.0007 -11.4 0.0080
Home time 0.0008 -0.0487 -0.00004
Hours -0.0154 -0.2022 0.0031
Joiner -0.5111 0.0002 -0.0001
Leaver -0.4126 -0.0001 0.00004
Total 0.0899
1970s Wage
1980s Growth with Difference
Trends 1980s Trends [(5) - (3)]
(4) (5) (6)
Women
Constant 1
Time trend 0.0909 0.0000
Schooling 0.0889 0.0063 0.0027
Actual exp 0.0966 0.0019 0.0094
Exp [2] 1.76 -0.0005 -0.0005
Home time -0.1871 0.0009 -0.0002
Hours 0.1974 -0.0022 -0.0025
Joiner -0.0014 0.0005 0.0005
Leaver -0.0012 0.0002 0.0003
Total 0.0980 0.0050
Men
Constant
Time trend 1 0.0847 0.0000
Schooling 0.0681 0.0052 -0.0001
Actual exp -0.0247 -0.0010 0.0101
Exp [2] -3.48 0.0024 -0.0055
Home time -0.0044 -0.0000 0.00003
Hours 0.1078 -0.0017 -0.0048
Joiner 0.0004 -0.0002 -0.0001
Leaver 0.0001 0.00004 -0.00008
Total 0.0894 -0.0005
(a.)Column 2 is from Table 4; column 3 is computed as column 1
multiplied by column 2; column 4 is from Table 4; column 5 is column 4
multiplied by column 1; column 6 is computed as column 5 minus column 3.
Totals may not match because of rounding.
Appendix A
1970s Regression Results
1 2 3 4
Constant 1.419 0.6119 0.1337 0.7914
(0.009) (0.019) (0.025) (0.029)
Female -0.4255 -0.4228 -0.4372 -0.5485
(0.019) (0.018) (0.018) (0.016)
Time trend 0.0850 0.0833 0.0845 0.0820
(0.002) (0.001) (0.001) (0.001)
Female [*] 0.0014 0.0026 0.0039 0.0054
Time trend (0.003) (0.003) (0.003) (0.003)
Schooling 0.0641 0.0769 0.0781
(0.001) (0.001) (0.001)
Potential experience 0.0256 0.0266
(0.001) (0.001)
Potential exp. sqrd. -0.0004 -0.0004
(0.00002) (0.00002)
Actual experience
Actual exp. sqrd.
Hours worked -0.0146
(0.0003)
Home time
Labor force entrant
Labor force leaver
5 6 7 8
Constant 0.7611 0.8108 0.8208 0.8189
(0.027) (0.028) (0.028) (0.028)
Female -0.4739 -0.4457 -0.4432 -0.4461
(0.017) (0.018) (0.018) (0.018)
Time trend 0.0825 0.0825 0.0825 0.0825
(0.001) (0.001) (0.001) (0.001)
Female [*] 0.0059 0.0051 0.0054 0.0056
Time trend (0.003) (0.003) (0.003) (0.003)
Schooling 0.0763 0.0736 0.0734 0.0734
(0.001) (0.001) (.001) (0.001)
Potential experience
Potential exp. sqrd.
Actual experience 0.0358 0.0355 0.0344 0.0348
(0.001) (0.001) (0.001) (0.001)
Actual exp. sqrd. -0.0006 -0.0006 -0.0006 -0.0006
(0.00003) (0.00003) (0.00003) (0.00003)
Hours worked -0.0149 -0.0150 -0.0149 -0.0151
(0.0003) (0.0003) (0.0003) (0.0003)
Home time -0.0037 -0.0034 -0.0034
(0.0007) (0.0007) (0.0007)
Labor force entrant -0.4104
(0.036)
Labor force leaver -0.3309
(0.031)
9
Constant 0.8275
(0.028)
Female -0.4438
(0.018)
Time trend 0.0825
(0.001)
Female [*] 0.0058
Time trend (0.003)
Schooling 0.0732
(0.001)
Potential experience
Potential exp. sqrd.
Actual experience 0.0339
(0.001)
Actual exp. sqrd. -0.0006
(0.00003)
Hours worked -0.0149
(0.0003)
Home time -0.0032
(0.0007)
Labor force entrant -0.3800
(0.036)
Labor force leaver -0.3024
(0.031)
Appendix A
Extended
10 11 12 13
Constant 0.8264 0.8228 0.8231 0.8376
(0.028) (0.028) (0.028) (0.028)
Female -0.4486 -0.4349 -0.4348 -0.4385
(0.020) (0.018) (0.018) (0.019)
Time trend 0.0825 0.0824 0.0824 0.0824
(0.001) (0.001) (0.001) (0.001)
Female [*] 0.0057 0.0057 0.0057 0.0058
Time trend (0.003) (0.003) (0.003) (0.003)
Schooling 0.0733 0.0728 0.0728 0.0731
(0.001) (0.001) (0.001) (0.001)
Actual experience 0.0339 0.0326 0.0326 0.0333
(0.001) (0.001) (0.001) (0.001)
Actual exp sqrd. -0.0006 -0.0006 -0.0006 -0.0006
(0.00003) (0.00003) (0.00003) (0.00003)
Hours worked -0.0149 -0.0150 -0.0150 -0.0151
(0.0003) (0.0003) (0.0003) (0.0003)
Home time -0.0031 -0.0030 -0.0029 -0.0033
(0.0007) (0.0007) (0.0007) (0.0007)
Labor force entrant -0.3807 -0.3714 -0.3766 -0.3780
(0.036) (0.036) (0.036) (0.036)
Labor force leaver -0.3029 -0.2933 -0.2930 -0.3200
(0.031) (0.031) (0.031) (0.031)
Panel 0.0412 0.0411 0.0436
(0.007) (0.007) (0.007)
Female [*] 0.0079 0.0021
Married (0.014) (0.014)
Entrant [*] 0.8895
Panel (0.470)
Entrant [*]
Leaver
14 15 16 17
Constant 0.8278 0.8266 0.8230 0.8234
(0.028) (0.028) (0.028) (0.028)
Female -0.4435 -0.4483 -0.4347 -0.4345
(0.018) (0.019) (0.018) (0.018)
Time trend 0.0825 0.0825 0.0824 0.0824
(0.001) (0.001) (0.001) (0.001)
Female [*] 0.0058 0.0057 0.0057 0.0057
Time trend (0.003) (0.003) (0.003) (0.003)
Schooling 0.0732 0.0732 0.0728 0.0728
(0.001) (0.001) (0.001) (0.001)
Actual experience 0.0339 0.0339 0.0326 0.0325
(0.001) (0.001) (0.001) (0.001)
Actual exp sqrd. -0.0006 -0.0006 -0.0006 -0.0006
(0.00003) (0.00003) (0.00003) (0.00003)
Hours worked -0.0149 -0.0149 -0.0150 -0.0150
(0.0003) (0.0003) (0.0003) (0.0003)
Home time -0.0032 -0.0032 -0.0030 -0.0030
(0.0006) (0.0006) (0.0006) (0.0007)
Labor force entrant -0.3909 -0.3916 -0.3806 -0.3865
(0.038) (0.038) (0.038) (0.038)
Labor force leaver -0.3102 -0.3108 -0.3000 -0.3001
(0.032) (0.032) (0.032) (0.032)
Panel 0.0411 0.0409
(0.007) (0.007)
Female [*] 0.0079
Married (0.014)
Entrant [*] 0.8994
Panel (0.471)
Entrant [*] 0.0980 0.0982 0.0830 0.0888
Leaver (0.111) (0.114) (0.114) (0.114)
18
Constant 0.8222
(0.028)
Female -0.4385
(0.019)
Time trend 0.0824
(0.001)
Female [*] 0.0056
Time trend (0.003)
Schooling 0.0728
(0.001)
Actual experience 0.0325
(0.001)
Actual exp sqrd. -0.0006
(0.00003)
Hours worked -0.0150
(0.0003)
Home time -0.0030
(0.0007)
Labor force entrant -0.3812
(0.038)
Labor force leaver -0.3005
(0.032)
Panel 0.0410
(0.007)
Female [*] 0.0062
Married (0.014)
Entrant [*]
Panel
Entrant [*] 0.0831
Leaver (0.114)
N = 24,177 for all regressions.
Appendix B
1980s Regression Results
1 2 3 4 5
Constant 1.858 0.8275 0.4485 0.7914 0.8985
(0.020) (0.026) (0.029) (0.029) (0.029)
Female -0.5494 -0.5238 -0.5238 -0.5990 -0.5068
(0.045) (0.042) (0.041) (0.040) (0.039)
Time trend 0.0389 0.0373 0.0357 0.0377 0.0376
(0.002) (0.001) (0.001) (0.001) (0.001)
Female [*] 0.0148 0.0135 0.0138 0.0138 0.0123
Time trend (0.003) (0.003) (0.003) (0.003) (0.003)
Schooling 0.0785 0.0892 0.0913 0.0892
(0.001) (0.001) (0.001) (0.001)
Potential 0.0207 0.0215
experience (0.001) (0.001)
Potential exp sqrd. -0.0003 -0.0003
(0.00003) (0.00003)
Actual experience 0.0340
(0.001)
Actual exp sqrd. -0.0006
(0.00003)
Hours worked -0.0127 -0.0132
(0.0003) (0.0003)
Hometime
Labor force
entrant
Labor force leaver
[R.sup.2] 0.9366 0.9440 0.9457 0.9494 0.9510
6 7 8 9
Constant 0.9912 0.9954 0.9987 1.002
(0.031) (0.030) (0.031) (0.030)
Female -0.4518 -0.4425 -0.4514 -0.4423
(0.039) (0.040) (0.040) (0.040)
Time trend 0.0382 0.0384 0.0380 0.0383
(0.001) (0.001) (0.001) (0.001)
Female [*] 0.0112 0.0106 0.0112 0.0106
Time trend (0.003) (0.003) (0.003) (0.003)
Schooling 0.0842 0.0838 0.0841 0.0837
(0.001) (0.001) (0.001) (0.001)
Potential
experience
Potential exp sqrd.
Actual experience 0.0329 0.0322 0.0325 0.0319
(0.001) (0.001) (0.001) (0.001)
Actual exp sqrd. -0.0005 -0.0005 -0.0005 -0.0005
(0.00003) (0.00003) (0.00003) (0.00003)
Hours worked -0.0134 -0.0133 -0.0134 -0.0133
(0.0003) (0.0003) (0.0003) (0.0003)
Hometime -0.0078 -0.0073 -0.0077 -0.0072
(0.0006) (0.0006) (0.0006) (0.0006)
Labor force -0.5247 -0.5113
entrant (0.033) (0.033)
Labor force leaver -0.2325 -0.2004
(0.032) (0.032)
[R.sup.2] 0.9512 0.9516 0.9514 0.9518
Appendix B
Extended
10 11 12 13
Constant 1.001 1.023 1.023 1.124
(0.030) (0.031) (0.031) (0.033)
Female -0.4437 -0.4332 -0.4332 -0.4287
(0.040) (0.039) (0.039) (0.040)
Time trend 0.0382 0.0387 0.0387 0.0308
(0.001) (0.001) (0.001) (0.001)
Female [*] 0.0106 0.0104 0.0104 0.0102
Time trend (0.003) (0.003) (0.003) (0.003)
Schooling 0.0837 0.0827 0.0827 0.0832
(0.001) (0.001) (0.001) (0.001)
Actual experience 0.0319 0.0290 0.0290 0.0296
(0.001) (0.001) (0.001) (0.001)
Actual exp sqrd. -0.0005 -0.0005 -0.0005 -0.0005
(0.00003) (0.00003) (0.00003) (0.00003)
Hours worked -0.0133 -0.0133 -0.0133 -0.0132
(0.0003) (0.0003) (0.0003) (0.0003)
Home time -0.0072 -0.0077 -0.0077 -0.0076
(0.0006) (0.0006) (0.0006) (0.0006)
Labor force -0.5114 -0.5012 -0.5011 -0.5015
entrant (0.033) (0.033) (0.033) (0.033)
Labor force -0.2004 -0.1832 -0.1833 -0.1886
leaver (0.032) (0.032) (0.032) (0.032)
Panel 0.0537 0.0536 0.0494
(0.008) (0.008) (0.008)
Female [*] 0.0022 0.0004
Married (0.012) (0.012)
Entrant [*] Panel
Entrant [*] Leaver
[R.sup.2] 0.9518 0.9518 0.9518 0.9518
14 15 16 17
Constant 1.003 1.002 1.024 1.024
(0.030) (0.030) (0.031) (0.031)
Female -0.4416 -0.4432 -0.4326 -0.4326
(0.040) (0.040) (0.039) (0.039)
Time trend 0.0383 0.0383 0.0387 0.0387
(0.001) (0.001) (0.001) (0.001)
Female [*] 0.0106 0.0105 0.0104 0.0104
Time trend (0.003) (0.003) (0.003) (0.003)
Schooling 0.0837 0.0837 0.0827 0.0827
(0.001) (0.001) (0.001) (0.001)
Actual experience 0.0319 0.0319 0.0290 0.0290
(0.001) (0.001) (0.001) (0.001)
Actual exp sqrd. -0.0005 -0.0005 -0.0005 -0.0005
(0.00003) (0.00003) (0.00003) (0.00003)
Hours worked -0.0133 -0.0133 -0.0133 -0.0133
(0.0003) (0.0003) (0.0003) (0.0003)
Home time -0.0072 -0.0072 -0.0077 -0.0077
(0.0006) (0.0006) (0.0006) (0.0006)
Labor force -0.5289 -0.5290 -0.5175 -0.5175
entrant (0.035) (0.035) (0.035) (0.035)
Labor force -0.2169 -0.2170 -0.1986 -0.1986
leaver (0.033) (0.033) (0.033) (0.033)
Panel 0.0534 0.0534
(0.008) (0.008)
Female [*] 0.0025
Married (0.012)
Entrant [*] Panel
Entrant [*] Leaver 0.2391 0.2395 0.2209 0.2209
(0.127) (0.127) (0.127) (0.127)
[R.sup.2] 0.9518 0.9518 0.9518 0.9518
18
Constant 1.024
(0.031)
Female -0.4312
(0.040)
Time trend 0.0387
(0.001)
Female [*] 0.0104
Time trend (0.003)
Schooling 0.0827
(0.001)
Actual experience 0.0290
(0.001)
Actual exp sqrd. -0.0005
(0.00003)
Hours worked -0.0133
(0.0003)
Home time -0.0077
(0.0006)
Labor force -0.5174
entrant (0.035)
Labor force -0.1985
leaver (0.033)
Panel 0.0535
(0.008)
Female [*] -0.0022
Married (0.012)
Entrant [*] Panel
Entrant [*] Leaver 0.2205
(0.127)
[R.sup.2] 0.9518
N = 29,086 for all
regressions.
Appendix C: Data
This study uses the PSID family data because it is one of the few
data sets containing wage, experience, and demographic information for
comparably aged men and women over the 1970s and 1980s. The sample
consists of male and female heads of household and spouses from 1972 to
1989. By using the family sample, we require sample members to be part
of the survey in 1989; however, individuals may enter the survey and
become part of our sample in any year between 1972 and 1988.
Wages and hours worked per week in year 1 were defined on the basis
of the PSID variables, average hourly earnings, and total hours worked
reported in the following year. Thus wages for 1988 were reported in the
1989 wave. This is a wage already computed in the data set on the basis
of labor income consisting of wage income, farm income, business income,
bonuses overtime and commissions, earnings from professional practice
and trade, earnings from gardening, and roomers and boarders divided by
total actual hours worked in the same year. Individuals are deleted from
the sample if their real wage (in 1983 dollars) is less than $1.50.
Hours worked per week is computed as total annual hours worked divided
by 52.
Workers are distinguished between those who worked in every period
from 1972 through 1988 (denoted in the data set as P = 1) and those who
did not work in every year from 1972 through 1988 (P = 0). Workers in
any year who joined the work force (worked in year t but not t - 1) are
denoted as joiners (J = 1) and those who worked in year t but not in
year t + 1 are denoted as leavers (L = 1).
Potential experience is measured as age minus schooling minus six.
Data on actual experience is not collected regularly by the PSID;
however, in 1974 all respondents were asked the number of years worked
full-time since age 18. After 1974 it is computed in each year for
continuing sample members by augmenting experience by whether one worked
full-time (at least 1500 hours) in the previous year. Experience for
1972 and 1973 is computed by subtracting from 1974 experience. New heads
of households and wives are asked to report years of experience in the
year they become a new head of household or wife. Thus, new heads of
household or wives after 1974 were asked their level of experience when
they entered the panel. Home time is measured as potential experience
minus actual experience.
[Graph omitted]