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Working Paper 74-3

AN EMPLOYMENT PRESSURE INDEX
AS AN ALTERNATIVE MEASURE
OF LABOR MARKET CONDITIONS*

William E. Cullison

Presented at the 49th Annual Conference
of the Western Economic Association,
Las Vegas, Nevada, June 9-12, 1974.

The views expressed here are solely those of
the author and do not necessarily reflect the
views of the Federal Reserve Bank of Richmond.

AN EMPLOYKEXI PRESSURE INDEX AS AX ALTERNATIVE
ME4SURE OF LABOR MARKET CONDITIONS*
William E. Cullison
Federal Reserve Bank of Richmond

Much attentj.onhas been devoted to the peculfar behavi.orof the
unemployment rate from 1969 to 1973.

In p&t

recessions, the unemployment

rate reached definite turning yolnts and showed fairly consistent recovery
shortly thereafter. Its behavior during the 1970 recession and the subsequent recovery, however, was noticeably ditferent. The unemployment rate
rose to around 6 pe,rcenti.nNovember 3.970and remained very close to that
level until June 1972, setting a record for the longest peak in the history
of the series, Moreover 9 through the summer and fall of 1973, when other
economic indicators had been signaling that recovery was weli under way
and that the economy was approaching full capacity: the unemployment rate
continued to indicate a relatively slack labor market.
Geoffrey Moore, former Commissioner of the Bureau of Labor Statistics,
has suggested (1973) that the unemployment rate may be overemphasized as'a
target variable for economic policy. After analyzing several labor market
indicators, Moore concluded that " ...the evidence indicates that in recent
months wc have been closer to full employment than the unemployment rate by
itself suggest8.(1 (1973). Moore had advocated earlier that employment data
should be given at least as much attention as unemployment data in analyzing

*The author wishes to thank the Eureau of Labor Statistics for
providing data; the Federal Reserve Ean!iof Richmond for its support; and
Geoffrey PSooreof the NBER, and the Economic Staff of the Federal Reserve
Bank of Kfc!lmondfor helpful comments. The analysis and conclusrons of th%s
paper are those of tix
author
and not o f the.Federai Reserve System,

-2-

labor market statistics. He suggested that the employment data were supericr
to the unemployment figures, not only because of problems in defining
involuntary unemployment, but also because the employment scrl.escontains
relatively less sampling error (1972).
This paper presents a new data series that relates employment data
to an historical standard. The new series is referred to as an employment
pressure index (EPI); its purpose is to transform raw employment figures
into a series that can bc used to measure labor market conditions,

Since

the EPI does not rely upon either unemployment or civilian labor force d;lta,
it is not affected by the definitional problems inherent in the unemployment
statistics. The new series is compared with the unemplo-ymentrate as a
labor market indicator,
Figure 1 shows the EPI (defined below) plotted with the uncmploymeritrate for all civi.l.ian
workers.
is equated to an E)?Iof 100.

A 5 percentl unemployment rate (inverted)

There is clearly a high degree of overall corre-

spondence between the two series from 1955 through 1969.
the two series have begun to diverge,

Since then, however,

This recent disparity is discussed at

length.

The Employment Pressure Index
The employment pressure index was dcrlved by dividing actual employment figures by a population-adjusted trend value.

Theoretically, the index

measures excess demand or supply, assuming actual employment as a proxy for
labor demand and that the trend measures long-term labor supply.

'The average from 1955 to 1973.

All Workers Age 16 to 64, January 1955--April 1974
.

UNEMPLO~NT

RATE

(Right Scale)

EMPLOYMENT INDEX
(Left Scale)

:
i

a
2

c-

i

t
1956

i
1957

5
1959

k
1959

k
1960

ii
1561

1962

1963

$
1964

a
1965

t
1966

?
1967

9

k
1966

1969

k
1970

h
1971

tr
Ii72

5
1973

197Y

-4-

The trend is derived by (1) regressing population and a time trend
on employment; (2) generating trend data from the regression equations; and
(3) summing across subgroups to obtain the trend for total employment.

Figure

2 shows the summary trend plotted against actual employment from 1955 to 1973.
The estimating equations for the employment trend are:

ET

=

ai

f hi(T) + Cam

-tdi(Pi),

where 1";= computed employment in the ith employment group,2 T = time (January
1954 = J.:),
and Pi = U. S. civilian resident.population in the ith group.

The

employment preF:WX: index plotted in Figure 1 is thus defined as E'/(B~~l I$),
where E' is total employment.
In developing the EPI, some adjustments in the basic technique
were made to account for changes in armed forces personnel.

Since the physical

and mental abflitj.~:s
of armsd forces recruits 2nd draftees mcdc them **-n
....Lw
likely to have been employed than the average member of their age-race--se;,:
population group, changes in armed forces personnel affected employment more
than proportionally in some groups.
therefore,

were

The data for males 20-24 and 25-34,

adjusted by regressing armed forces personnel on the difference

between the EPI and the unemployment rate (inverted) of the group, and then
adjusting the emplo*ymenttrend for variation explained by the regression.
The R21s for those regressions were 0.64 and 0.13 respectively.

The Differences Between the
Emmloyment Pressure Index and the
-- Unemployment Rate
The differences between the employment pressure index and the
unemployment rate

are

classified into two categories:

(1) differences

----

'There were 16 groups, by sex, race, and age (16-19, 20-24, 25-31;;
and 3$e16). A table is available from the author upon request detailing the
rcgress.tcnresults.

Figure 2.-Total

EmpIoy& Persons, Age 15 to 64

Actual EmpIoyment and Popukkon-Adjusted

1

-b‘

I

1956'
-4.

1

#

i958

I

IIt

1960
..

I

’

1962

1964

Trend, 1955-1973

I

I

1966

I

1

1968

I

I

1970

I

1

1972

-6-

attributable to "discouraged workers" and (2) differences attributable to
other factors.

The "Discouraged Worker" Effect
One reason for developing an employment-based measure to analyze
labor market conditions is to eliminate the so-called "discouraged worker"
effect. The measured unemployment rate, it has been argued, has been
seriously affected during economic contractions and recoveries by the exit
and re-entry of discouraged workers from the labor force.
During the 1969-1970 recession, when the unemployment rate leveled
off at around 6 percent, the EPL continued to fall, reaching a definite lower
turning point in June 1971.
time.

It has shown a persistenl:recovery s:Lncethat

By contrast, the unemployment rate remained at around 6 percent:for

aimost l-112 years and was continuing to indic:-:te
reiati-.*ely
~1.~1:labcr
markets as late as fall 1973. At least for the 1969-1972 time period, a
strongly operative discouraged worker effect could have explained the seemingly
erratic behavicr of the unemployment rate; for 5f workers dropped out of
the labor force in 1970 and early 1971 and re-entered in late 1971 and 1972,
the peak in the unemployment rate and the subsequent recovery could have been
disguised.
Alfred Tella (1964 and 1965) and others have estimated the discouraged worker effect.

Tella used trend variables to estimate participation

rates for various age-sex breakdowns. He wa.sthen able to estimate a
potential full employment labor force, which, when compared with the actual
data, enabled him to estimate the number of discouraged workers.
Tella found that the discouraged worker phenomenon affected females
more strongly than it did males,

Since.females are less likely to be bread-

winners than males, this finding is consistent

with

a priori judgment.

In

-7-

fact, a priori reasoning could lead a step further.

Since white females

are

less likely to be breadwinners than nonwhite females, they should be more
strongly subject to the discouraged worker effect than nonwhites. The female
participation rate for the civilian labor force in 1960 was 33.4 percent.

In

1969, it was 37.8 percent. Much of this increased female .participationwas
in the white female group.

The changing composition of the civilian labor

force between 1960 and 1969 thus may have lent itself to a stronger discouraged
worker effect. Moreover, as can be seen from a comparison of F'igilres
3 and 4,
there is a greater difference between the BP1 and the unemployment rate for
females than

for

Tales.

The 1970 recession, whj.chfell relatively heavily on highly skilIed
and highly educa.tedwhite-collar workers, may have produced a stronger discouraged worker effect for males as well since highly skilled workers,
having relatively more job information than tl~eaverage worker, may be more
inclined to postpone their job search when prospects lock meager.
These hypotheses provide plausible explanations of some divergency
between the EPI and the unemployment rate, but the evidence weighs against
discouraged workers as the root cause of the differences. According to the
Labor Department's estimates of discouraged workers, their numbers have been
quite small relative to the total number of unemployed workers.

The BLS

survey put the average number of discouraged workers at 574,000 in 1969 and
774,003 in 1971.
almost 5 million.

By contrast, the total number of unemployed workers averaged
Thus, if the Labor Department data are accurate, only a

small part of the divergence between

the

unemployment rate and the BP1 could

be explained by changes in the numbers of discouraged workers.
Paul .??laim
of the BLS has noted:

However, as

"Given the subjective and elusive nature

of 'discouragement,' the extent of its possible overstatement and u;u:erstatenent
cannot be measured."

(1973).

_

_

_

-lO-

Tella's estimates,

derived indirectly by methods that are similar

to those used in estimating the employment trend values for the EPI, have
been consistently higher than those of the Labor Department. Unfortunately,
his estimates would not provide an independent test of the EPI.
Preliminary findings, however, suggest that the discouraged worker
effect cannot completely explain the recent divergence. For example, the
EPI had matched the 1967-1968 levels, equivalent to an unemplo-ymentrate of
4

percent, by Jnn:?1973.

around 4.8

percent.

The measured unemployment rate, however, was

The EPI for males moved above 101.0 in early 1973,

and it was indicating extraordinary labor market pressure by September
(101.9). Tha male unemployment rate, however, was 4.2 percent during
Ja.nuary1973 and 4.0

percent in September, equivalent to an EPI of only XlO.8.

Such large discrepancies, particularly when the economy was near full capacity,
IJLzkkee
z.hediscouraged t:crkerexplanation seem implausible.

Other Differences
i-2ett.veen
t'he
and the Unemplo~e;~t
m-.-w-----.-.---~L,--- EPI -.
-.-4-m- -- Rite
The difference between the El?1and the unemployment rate for females
may be partially attributable to biases in the EPX trend equations stemming
from 1:herapidly rising female participation rates in the late sixties.
the other hand, r+idly

On

rising participation rates also mske difficult the

int:erprz&.tionof female unemploment,

since a larger percentage may have been

frictional and not of concern for aggregate economic policy.
As shown in Figure 3, the EPI for males

fluctuated between 101.0

and 101.5 during the 1967-1969 time period, while the male unemployment rate
fell from around'3.5 percent to almost

2.5 percent.

Thus, the two series,

usually quite similar, were considerably different during that interval.
The EPI and the unemployment rate at full employment, however, may diverge

-ll-

for technical reasons. As firms approach full capacity, there is some limit
to the number of workers that they can absorb per time.period. The EPI would
indicate that the limit for male workers was around 1.5 percent more than
trend in 1967-1969. The unemployment rate, of course, would continue to
fall whenever EPI > 100.0 because long-term labor supply is included in the
trend.
Finally, some of the divergence in 1972 and 1973 can probably be
explained by a variation of the additional worker effect.

Secondary bread-

winners can enter the labor force to supplement the family income during
recoveries as well as during downturns. During periods in which prices are
increasing rapidly, as in 1972-1973, such an additional worker effect may
be quite strong,

If so, unemployment will not drop as rapidly as might be

predicted from the increase in employment.

ccIlcll~siol-.~-.
--.a--

This article has presented a new index, based solely on employment
data, a;ldhas used it to evaluate alleged deficiencies in the published
unemplogr;:ect
statistics, The new series, an employment pressure index, 1
generally corroborates until recently the accuracy of the male unemployment
rate series. For females, however, some discrepancies cannot be reconciled
without additional information, and they nay be attributable to bias in both
series.

Recent behavior of the unemployment rate and the EPI, however, seems

to indicate that the latter is presently the more sensitive coincident
indicator.
Consistent with the preponderance of signals of the growing
pressure of aggregate demand on economic capacity, the EPI showed increased
tightness in labor markets throughout the first half of 1973.

Ey the summer

-12-

of 1973, the EPI had regained the high employment levels of 1967-1968.

In

contrast, the unemployment rate gave a different and seemingly less accurate
picture. The explanation of the recent divergence between the EPI and the
unemployment rate is therefore of importance for purposes of economic policy,
for if the unemploymeut rate measures something different from what it used
to measure, the working definition of full employment should be modified.
It appears, therefore, that although regular publication of the EPI series
would involve periodic revisions (the trend equations should not be extrapolated far beyond the data from which they are estimated), publication of
them would provide important additional information on labor market conditions,

SELECT BIBLIOGRAPHY

1.

Bowen and Finegan. "Labor Force Tarticipation and Unemployment,"
a>oyment
Policy and the Labor
-- Market (Berkeley and Los Angeles:
University of California Press, 1$3m

2.

Thomas Dernburg and Kenneth Strand, "Hidden Unemployment 1953-1962:
A Quantitative Analysis by Age and Sex,' American Economic Review,
Vol. LVI, ijo.1, March 1965.

3.

F&aim, Paul."Discouraged Wor'iersand Changes in Unemployment,"
1&.nthlyLabor Review, Xarch 1973.

4.

Vail.
Strcec Journal
Moore, Geoffrey. .-B-,---9

5.

Moore, Geoffrey. How _____.
Full is
?::ll
- ---.
G- Emmloymcnt
--._____ (Washington: American
for hbiic
F'olicy F;?seal.c>, 1973).
Enterprise Substitute

6.

Perry, George. "C!xx-@.ngI&or- i?arket:,
and Inflation," Brookinf;sPapers
on
Economic
Acti.vity,
II::,
Il.370.
-M-w-

7.

Tella, A. J. "Labor Force Eerzsitivitybo Emplo~meni;by Age, Sex,"
Industrial Rela-tions,Vol. 4, No. 2, Feb. 1965.

9.

N. J. SiKLer and A. J. Tells. "Labor Reserves and t!lePhillips Curve,"
Review of -a
Economics
Vol. 50, Feb. 1968.
-.u---.- a.:~% Statistics,

10,

Feb. 3,

1972.

Tella, A. J. "The Relation of Labor Force to Employment," Industrial
and Labor Relations Rev&r, Vol. 17, April 1964.
-,.
.-