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ISSN 0269-2171 print/ISSN 1465 -3486 online/01/010065-11 � 2001 Taylor & Francis LtdDOI: 10.1080/026921701 20013358
International Review of Applied Economics, Vol. 15, No. 1, 2001
Lonnie K. Stevans, Department of BCIS/QM, 134 Hofstra University, Hempstead, NY 11549 ± 1340,
USA. E-mail: acslks@hofstra.edu. Web Page: http:\\www.i2.i ± 2000.com \ ~ acslks\lks.html
David N. Sessions, Department of BCIS/QM, 134 Hofstra University, Hempstead, NY 11549 ± 1340,
USA. E-mail: acsdns@hofstra.edu
Minimum Wage Policy and Poverty in the United
States
LONNIE K. STEVANS & DAVID N. SESSIONS
ABSTRACT Recent studies have found that increasing the minimum wage is a useful anti-
poverty tool. In this analysis, we examine the influence of minimum wages and other
important variables on US family poverty rates using state data over the years 1984 ± 98
by estimating both a fixed effect and random coefficients regression model. Taking into
account labor market influences, demographic factors, and differences in poverty rates
across states, we find that expanding the minimum wage coverage and increasing labor
force participation both have larger effects on poverty rates as compared to equivalent
changes in the level of the minimum wage. It is further implied from the empirical results
that the most effective means of lifting families out of poverty are policies that are directed
toward increasing minimum wage coverage, encouraging increased labor force participa-
tion, raising the minimum wage, and subsidizing higher education, respectively.
1. Introduction
Increasing the minimum wage has been viewed as one way of reducing poverty
(Gramlich, 1976; Freeman, 1996), by raising the living standards of low-income
workers and families. However, if increases in the minimum wage reduce
employment, the effects on poverty are uncertain. In analyzing these effects,
researchers have relied on simulation exercises that depend upon a number of
dubious assumptions; such as disemployment effects and certain labor supply
responses. In this study, we do not incorporate such constraints and thus avoid the
problems associated with simulation exercises.
In a study by Card & Krueger (1995), it was found that the 1990 ± 91 US
minimum wage hike led to modestly lower poverty rates. Even & Macpherson
(1996) disputed that minimum wage policies have an effect on poverty rates. These
contradictory results provide little guidance for policy-makers. In addition, the
entrustment of welfare programs to the states by the US federal government
indicates that research on these issues should be targeted at the state-level. In this
66 L. K. Stevans & D. N. Sessions
study, we will examine the effects that minimum wage laws have on US poverty rates
using data that are available by state over the period 1984 to 1998. Because we will
relate poverty to minimum wages, minimum wage coverage, and other factors, there
is no need to incorporate any restrictive assumptions as is done in simulation
studies.1
2. Literature Review
Minimum wage hikes are publicly supported because they provide a `living wage’ .
However, many economists have argued that raising the minimum wage will lead to
declines in employment and reductions in benefits. These losses are presumed to be
concentrated among teens and minorities Ð the very workers that the minimum
wage is supposed to benefit (Brown et al., 1982). Results from recent empirical
studies have not been consistent with these hypotheses. Card (1992), and Card &
Krueger (1995) found little evidence that federal minimum wage increases in 1990
and 1991 reduced employment. In an analysis of the effects of minimum wages on
employment in Great Britain, Dickens et al. (1999) found that minimum wages
significantly compress the distribution of earnings, but do not have a negative
impact on employment. Moreover, in a study of the European labor market,
Machin & Manning (1997) found little evidence that minimum wages have a `bad’
effect on jobs and some evidence that they have an equalizing impact on the
distribution of income among families.
Raising the minimum wage may have an effect on wage inequality and poverty.
If earners of the minimum wage are distributed uniformly across the income
distribution, increasing the minimum wage may not affect family income inequality
or poverty rates. Even & Macpherson (1996), and Sloane & Theodossiou (1996)
have established that minimum wage earners are too widely dispersed across the
income distribution to have any influence on poverty rates or family income
inequality. Over the time period used for this study, (1984 ± 98), poverty for all
families in the US has declined at an average annual rate of about 1%, while the
growth in the real federal minimum wage has remained virtually unchanged at± 0.04 percent.2 Moreover, the simple correlation between poverty and the real
minimum wage was negative and significant, albeit small ( ± 0.11, see Fig. 1). The
relevant issue for this analysis, however, is not the simple time series correlation but
the relationship between family poverty rates and the minimum wage across states
and time, ceteris paribus.
One of the major problems with a number of studies that find that the
minimum wage influences poverty has to do with the `simulation’ of labor market
responses. This approach has arisen because of a lack of predictions regarding the
relationship between the minimum wage and the family income distribution. The
authors of these studies assume an employment elasticity with respect to the
minimum wage, which is calculated from time series studies. Since these elasticities
measure the influence of minimum wages on the employment of young adults and
not just those directly affected by the minimum wage increase, using these values
tends to minimize the disemployment effect. Moreover, many of the simulation
studies assume that all workers share in the disemployment outcome. In studies by
Horrigan & Mincy (1993) and Mincy (1990), the elasticities never exceeded one
(1) Ð which means that all low wage workers are assumed to gain from the simulated
minimum wage increase. There are also problems that arise in these studies because
of assumptions that are made concerning minimum wage coverage of workers who
M inimum Wage Policy and Poverty in the US 67
are below the existing minimum. Other factors, such as reductions in welfare
benefits, firm non-compliance, reallocations between full and part-time work, and
any offsetting labor supply changes by family members, are also ignored. These
factors tend to offset any positive impacts that a higher minimum wage may have on
poverty rates. In addition to all the above, the interaction between the `covered’ and
`uncovered’ sectors is also typically overlooked. It is suggested by theory that
minimum wage legislation affects the labor market, not just through the minimum
wage, but also by way of the relative size of the covered and uncovered sectors
(Gramlich, 1976; Brown et al., 1982). Yet, past poverty studies have omitted this
important variable.
Card & Krueger (1995) have found that states with a greater share of workers
affected by the 1990 ± 91 federal minimum wage increase had larger reductions in
family income inequality and lower poverty rates. In a paper by Lustig & McLeod
(1996), higher minimum wages were found to be associated with lower poverty rates
for a sample of developing nations, albeit they also observed a positive correlation
between higher minimum wages and unemployment. Addison & Blackburn (1999)
find a poverty reducing effect of minimum wages among teenagers and older junior
high school dropouts. It is the conclusion of many prior studies that minimum
wages and poverty are inversely related Ð this relationship being stronger in the
analyses that incorporate the simulation approach.
3. Empirical Analysis
In this study, `pooled’ data for 48 states over a 15-year period (1984 ± 98) will be
used in order to determine the significance and direction of the relationship between
minimum wage laws and poverty rates. This period is noteworthy in ascertaining the
impact of minimum wage increases. Since the federal minimum wage law remained
unchanged at$3.35 per hour between 1981 and 1989; by 1998, 18 states enacted a
state minimum wage above the federal rate.3 This variation across states during this
period provides a unique opportunity to study the effects of minimum wages.
The dependent variable is 1984 ± 98 poverty rates by state for all persons. The
choice of explanatory variables has been addressed in previous analyses of income
distribution (Partridge et al., 1996) (see Table 1). The model is log-linear and is
specified as follows:
Fig. 1. Poverty and real minimum wages (1984 = 100)
68 L. K. Stevans & D. N. Sessions
Y it = X 9itg it + «it ,
i = 1, 2, . . ., 48
t = 1984, 1985, . . ., 1998, (1)
where Y it is poverty rates, X it9 is a 1 ´ 10 vector of explanatory variables (see Table 1),
g is the 10 ´ 1 vector of parameters (including the intercept), and «it is the
disturbance term. Given the cross-sectional, time series nature of this dataset, we
will consider two variants of Equation (1) Ð one allowing for fixed effects in the
intercept across cross-sectional units or states and years. In the other model, we will
utilize fixed effects in only the intercept over time and random slope coefficients
across the cross-sectional units or states. The fixed effects model is:
Table 1. Variable explanations
Variable Source
Dependent:
Log of Poverty Rate (PR) (All Families) Bureau of the Census
Explanatory:
M inim um Wages:
Log of Minimum Wage (MW) US Department of Labor, Monthly Labor
Review, January Issues
Log of Minimum Wage Coverage(MWC)
US Department of Labor, Minimum Wage
and M aximum Hours Under the Fair Labor
Standards Act.
Income:
Log of Real Average Wage (RWAGE) US Department of Labor, Geog raphical
Profile of Employment and Unemployment
and Wages and Employment.
Labor M arket:
Log of Labor Force Participation Rate(LFPR)
US Department of Labor, Geog raphic
Profile of Employment and Unemployment.
Log of Annual Growth in Employment(EMPLOY)
US Department of Labor, Employment
and Earnings, States and Areas.
Log of Proportion of Employment inGoods Producing Industry (GOODS)
US Department of Labor, Employment
and Earnings, States and Areas.
Dem ographic and Human Capital:
Log of Percent of Population that isFemale Headed Household (FEMALE)
Bureau of the Census, Cur rent Population
Sur veys
Log of Percent of Population that isNon-White (MINORITY)
Bureau of the Census, Cur rent Population
Sur veys
Log of Ratio of Population with FourYear College Degree to Population withHigh School Degree (RATIO)
Bureau of the Census, Cur rent Population
Sur veys
M inimum Wage Policy and Poverty in the US 69
Y it = S14
k = 1mk DYear,k + S
47
w = 1lw DState,w + X9itg + «it . (2)
DYear, k are dummy variables representing years, and DState, ware the dummy
variables representing states. The assumption here is that the differences in poverty
that exist across states and years can be captured by deterministic differences in the
constant term in the model. The state effects should control for varying labor market
opportunities across states, and the year effects should `pick-up’ any economic
recessions/expansions. The second model we will consider is one in which the slope
coefficients are allowed to vary randomly across states:
Y it = S14
k = 1mkDYear,k + X9itg i + «it .
g i = Åg + li (3)
where lt is the random state effect and Åg is the mean coefficient vector. Given that
the number of years, t = 15, is small relative to the number of states, n = 48, any
estimate of the variance of the time component would be unreliable. Therefore, it is
preferable to treat the time component as fixed.4 The first term in Equation (3)
represents the fixed year effect of the intercept, and the second term is the random
effect.
Equation (2), or the fixed effects specification, was chosen for inclusion
because it has appeared in previous studies, albeit not with the same explanatory
variables as in this current analysis.5 The second specification (Equation (3)) has
never appeared before in the minimum wage literature. Nevertheless, we find it a
rather tenuous assumption that the effects (slopes) that variables, such as the
minimum wage, minimum wage coverage, labor force participation, etc, have on
poverty rates are the same for every state in the US. Whether the coefficients should
be considered as random or fixed is an empirical question that we will return to
shortly. In any event, given the delegation of welfare benefits to the states by the US
federal government, a model specification that explicitly allows for state differences
is more appropriate for use in determining the effect that minimum wage legislation
has on poverty rates.
In Table 1, the predictor variables contained in X it9 are presented by
category: Minimum Wages, Income, Labor Market, and Demographics and
Human Capital. `MW’ is defined as the maximum of the state or federal
minimum wage rate.6 As mentioned previously, minimum wage legislation affects
the labor market not just through the minimum wage rate, but also through the
relative size of the covered and uncovered sectors (Brown et al., 1982, and
Gramlich, 1976). The coverage variable, (`MWC’ ), will differ across states due to
variations in firm size and industry type. Moreover, there are exemptions for
particular industries and small firms. Minimum wage coverage is measured by
using the proportion of a state’s non-supervisory labor force that is covered by the
federal minimum wage. It is interesting to note that the variation in coverage
among the states was greater than the variation between years. In other words,
during the period studied, there was a good deal of dispersion in coverage within
the states for any given year, but this dispersion did not change much over the
period 1984 ± 98.7 To date, no other study in the subject area of minimum wages
and poverty has used a coverage variable.
70 L. K. Stevans & D. N. Sessions
The effect that these variables, MW and MWC, have on poverty rates is the
central inquiry of this study, ceteris paribus. While one would expect that higher
minimum wages and/or greater coverage would reduce poverty, there may be
offsetting employment effects that may increase poverty rates Ð it is an empirical
question.
The relationship between poverty rates and average earnings should be an
inverse one, ceteris paribus. The log of the average real wage is thus included in our
poverty regression.
There are three variables used in the Labor Force category: labor force
participation, annual employment growth, and the proportion of employment in
goods-producing industries. Greater labor force participation should lead to lower
poverty rates. Moreover, since economic growth has been found to disproportion-
ately benefit lower income groups (Bartik, 1996), the model specification includes
the annual growth in non-farm employment (EMPLOY). Goods producing jobs
provide less-skilled workers access to higher paying jobs. Thus, the proportion of
employment in goods-producing industries should be inversely related to poverty.
There are also demographic and human capital variables included in this
analysis: the percentage of female-headed households (FEMALE), the percentage
of the population that are non-white (MINORITY), and the ratio of college to high
school graduates (RATIO). We would expect the variables FEMALE and
MINORITY to be positively related to poverty and the human capital variable
(RATIO) to be inversely related to state poverty rates. However, the empirical
results associated with these variables should be interpreted with vigilance, since all
of the demographic and human capital variables had to be computed using the
1984 ± 98 Annual Demographic Surveys, March Supplements.
4. Results
The results of the estimation of Equations (2) and (3) may be found in Table 2. The
fixed effects model (Equation (2)) was estimated using ordinary least squares
(OLS), while the random coefficients model (Equation (3)) was estimated using
generalized least squares (GLS).8 The coefficients presented are estimates of the
mean coefficient vector Åg.9 For reasons of brevity, the actual state and/or year
individual effects for each model are not included in Table 2.10 However, partial `F’
statistics are presented, which test whether the state/year effects as a group belong
in the relevant equation. Since the original model (Equation (1)) was specified as
log-linear, all of the coefficients are to be interpreted as elasticity estimates or
percentages.
In column (1) of Table 2, the equation that most closely resembles the model
utilized by Card & Krueger (1995) was estimated. This model includes regional
dummy variables, which is consistent with their approach, but the current
specification found in Table 2 includes more observations. Nonetheless, the
minimum wage variable is statistically significant and negatively related to poverty
rates. These results are consistent with Card & Krueger’s (1995) claim that
minimum wage legislation can reduce poverty. Moreover, increasing labor-force
participation also reduces poverty.
One of the concerns raised with the simple model specification in column (1)
is that no allowance or control was made for varying economic conditions (Deere et
al., 1995). The estimation results of Equations (2) and (3) are found in columns (2)
and (3). These specifications include controls for labor market and demographic
M inimum Wage Policy and Poverty in the US 71
Table 2. Estimation results: poverty rate regressions
Pudney Test:
H0 : Variable Coefficients are Randomz = 90.45
Variables andDescriptive Statistics
(1)Coefficients Card
and Krueger
(2)Coefficients
Fixed Effects
(3)Coefficients
Random Effects
Dependent Variable:
Log of Poverty RateMean = 14.6STD = 4.8
Explanatory Variables:
Log of Minimum Wage(MW) ± 1.25 (2.05)** ± 1.18 (1.65)* ± 1.20 (1.68)*
Mean = 3.42STD = 1.15
Log of Minimum WageCoverage (MWC) ± 2.10 (3.56)*** ± 2.85 (4.21)***
Mean = 8.92STD = 1.08
Log of Real AverageWage (RWAGE) ± 0.55 (1.01) ± 0.64 (1.24)
Mean = 8.28STD = 1.23
Log of Labor ForceParticipationRate (LFPR) ± 0.58 (2.10)** ± 1.48 (2.45)*** ± 1.57 (2.85)***
Mean = 65.2STD = 4.5
Log of Annual Growthin Employment(EMPLOY) ± 0.32 (1.75)* ± 0.43 (1.70)*
Mean = 2.86STD = 2.18
Log of Proportion ofEmployment in GoodsProducingIndustry (GOODS) ± 0.48 (2.10)** ± 0.52 (2.35)**
Mean = 0.28STD = 0.07
Log of Percent ofPopulation that isFemale HeadedHousehold (FEMALE) 0.38 (1.98)** 0.45 (2.05)**
Mean = 13.7STD = 3.5
Log of Percent ofPopulation that is Non-White (MINORITY) ± 1.05 (1.18) ± 1.10 (1.09)
Mean = 10.1STD = 8.2
72 L. K. Stevans & D. N. Sessions
Table 2. Continued
Pudney Test:
H0 : Variable Coefficients are Randomz = 90.45
Variables andDescriptive Statistics
(1)Coefficients Card
and Krueger
(2)Coefficients
Fixed Effects
(3)Coefficients
Random Effects
Log of Ratio ofPopulation with FourYear College Degree toPopulation with HighSchoolDegree (RATIO) ± 0.58 (1.69)* ± 0.65 (1.77)*
Mean = 0.11STD = 0.08
West 2.13 (3.45)***
Midwest 2.01 (4.59)***
South 3.16 (5.87)***
Partial F Test ± StateFixed Effects 1.45**
Partial F Test ± YearFixed Effects 1.58* 1.61*
R-squared = 0.48 R-squared = 0.54 R-squared = 0.78
* Significant at 0.10 level** Significant at 0.05 level
*** Significant at 0.01 levelNote: Descriptive statistics are in the units of measurement of the raw data.
influences on poverty rates, along with a minimum wage coverage variable and year/
state fixed and/or random effects. Before discussing the sign and magnitude of the
individual coefficients, it is important to note the stated test result of the null
hypothesis found at the top of Table 2. The Pudney test, (Pudney, 1978), is a test of
the null hypothesis that the variable coefficients are random. The statistic `z’ is
distributed as a chi-squared variable with 81 degrees of freedom.11 It may be noted
that the null hypothesis is accepted (Table 2), implying that the random coefficients
model is more appropriate for modeling poverty rates across states than the fixed
effects model.
The minimum wage variable is inversely related to pover ty and statistically
significant Ð the coefficients being slightly smaller in our models, (columns (2) and
(3)). In addition, the degree of significance increases from 0.05 in the Card &
Krueger estimates (column (1)) to the 0.10 level in our models. The minimum wage
coverage variable in the current study is negative and strongly significant (a = 0.01),
and the relative magnitude of the coverage variable elasticity is large relative to the
minimum wage elasticity. For instance, in the random coefficients model (column
3), a 10% increase in minimum wage coverage is associated with a 29% decline in
poverty rates, while an equivalent change in the minimum wage is allied with a 12%
M inimum Wage Policy and Poverty in the US 73
decline in family poverty. In the fixed effects model, (column (2)), a 10% increase
in minimum wage coverage is associated with a 21% change in poverty, while the
same percentage increase in the minimum wage is also coupled with a 12% percent
decline in poverty. According to the above results, expanding the size of the covered
sector relative to the uncovered sector appears to be the best way to lift lower income
households out of poverty.
There are other notable results in Table 2. A 10% increase in labor force
participation is found to reduce poverty rates by about 15% in the fixed effects
model and 16% in the random coefficients model. These coefficients are also higher
than the minimum wage elasticity, which would lend support to the implementation
of policies that increase labor force participation. These would consist of short-term
policies such as the earned income tax credit, subsidizing childcare and long-term
policies that would involve the subsidization of human capital.
It was also found that, to a certain extent, states experiencing increased
economic growth have lower poverty rates, ceteris paribus. While the result of varying
economic growth is no surprise, what is prominent is the relatively small elasticity
estimates for this variable Ð a 10% increase in employment growth is associated
with a 3% decline in poverty in the fixed effects model and a 4% decline in poverty
in the random coefficients model. It is also interesting to note that states with a high
proportion of their workforce in manufacturing, experience lower poverty rates,
ceteris paribus. This inverse and significant relationship between employment in
goods-producing industries and poverty is not surprising and has been empirically
examined in the economic development literature (List & Gallet, 1999).
As mentioned previously, the individual state/year effects were not included in
Table 2. However, the statistical significance of the partial `F’ statistics that appear
at the bottom of Table 1I, indicate that there is good reason to include these fixed
effects in both models. The significance of the state effects may indicate that states
do indeed differ insofar as their labor markets and unmeasured demographic
differences are concerned. The significance of the year effects show that there are
economic factors and demographic trends affecting poverty rates for all states.
Finally, and as expected, we have found that states with a lower proportion of
female-headed households and a relatively higher educated workforce, experience
lower poverty rates, ceteris paribus. In the random coefficients model, a 10%
decrease in the proportion of female-headed households is associated with about a
5% decline in poverty rates, while a 10% increase in the ratio of college to high-
school educated workers is allied with approximately a 7% decline in poverty. The
MINORITY variable, or the percentage of population that is non-white, is found to
have no influence on poverty rates, ceteris paribus.
5. Conclusions
This study has examined the effect that minimum wage legislation has had on
poverty rates by state in the US. We have employed a methodology that employs year
and state fixed effects, random coefficients’ effects, and includes a minimum wage
coverage variable. The use of the random coefficients model and the minimum wage
coverage variable has never been considered in previous studies.
One implication of this analysis is the empirical observation that fixed effects
models that explain poverty across states are inferior to those that allow for random
coefficients.12 Not only is the null hypothesis of randomness accepted in Table 1I,
but the R-Squared in the random coefficients model (column (3)) is 1.4 times
74 L. K. Stevans & D. N. Sessions
greater than the R-Squared of the fixed effects regression model (column (2)).
Moreover, it is also interesting to note that every estimate of the mean coefficients
in the random model is greater in absolute value than its counterpart in the fixed
effects model. The implication is that the unmeasured factors affecting each state’s
labor market, as well as demographic differences, are not deterministic but random
events.
Another intriguing result of this study is that, while raising the minimum wage
does reduce poverty, it is not as effective as other policies. Expanding minimum
wage coverage and increasing labor force participation were both found to have
larger effects on poverty rates as compared to equivalent changes in the level of the
minimum wage. In testimony before the US House Education and Workforce
Committee, Jared Bernstein (an economist from the US Economic Policy Institute)
stated,
Finally, from the perspective of the working poor, the minimum wage is a
useful anti-poverty tool. It cannot and should not, however, be viewed as
a sole solution against poverty. This is primarily due to the fact that many
employable poor persons have only marginal attachments to the labor
market. As the literature evaluating minimum wages and poverty reveals
(as well as some new findings I will present regarding the last increase),
raising the minimum wage is associated with small decreases in the poverty
rate, but the poor need other income supports, such as the EITC and food
stamps.13
The empirical results in this study provide justification for this multifactor
approach toward poverty Ð expanding minimum wage coverage, encouraging
increased labor force participation, subsidizing higher education, as well as
increasing the minimum wage, should all be viewed as effective anti-poverty
programs.
Notes
This research was supported by a Summer Research Grant from the Zarb School of Business, Hofstra
University
1. These include studies by Horrigan & Mincy (1993), Mincy (1990), and Johnson & Browning
(1983).
2. The nominal minimum wage was deflated by the CPI-U, 198 2 ± 1984 = 100.
3. Alaska, California, Connecticut, Delaware, Washington DC, Hawaii, Iowa, Massachusetts, Maine,
Minnesota, New Hampshire, New Jersey, Oregon, Pennsylvania, Rhode Island, Vermont,
Washington, Wisconsin.
4. See Judge et al. (1985 ), p. 546.
5. Addison & Blackburn (1999) estimate a fixed effects model and find indications of a poverty
reducing effect of minimum wages among teenagers and older junior high school dropouts.
However, they use different explanatory variables in their reduced form regression.
6. This is the `prevailing’ minimum wage as noted by Card et al. (1994).
7. Results will be made available upon request from the authors.
8. Equation (3) is more commonly known as the Swamy random coefficient model. See Judge et al.
(1985), pp. 539 ± 545.
9. Of course, a different estimate can be produced for every variable by state. These results will be made
available upon request from the authors.
10. Results will be made available upon request from the authors.
11. z ~ x2 (k2 ), where k is the number of parameters in the model.
12. See Addison & Blackburn (1999).
13. http://www.epinet.org/webfeatures/viewpoints/minwagetestimony.html
M inimum Wage Policy and Poverty in the US 75
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Recommended