Black unemployment and infotainment.
Robinson, Brooks B.
I. INTRODUCTION
Why has the black unemployment rate in the United States been more
than twice that of whites over the past three decades? From 1972 to
2002, the average black unemployment rate was 12.4%, while the average
unemployment rate for whites was 5.5% (Figure 1). Gilman (1965), Arrow
(1972a, 1972b), Shulman (1987), and Darity and Mason (1998) represent
just a few scholars who have sought to explain this conundrum using a
discrimination framework. This article builds on those earlier efforts,
but refocuses the explanation onto indirect cultural/social phenomena
that motivate discrimination. It is hypothesized that media forms that
reflect information and entertainment ("infotainment") and
highly visible social phenomena interact to produce negative consumption
externalities and decreased demand for black labor. This hypothesis is
consistent with Loury's (1998) call for the use of social phenomena
to explain economic outcomes. The underlying demand-side hypothesis is
tested using single equation regression models to determine whether
variables representing infotainment and social phenomena explain the
black-white unemployment rate gap and the black unemployment rate. In
addition, the statistical analysis includes tests for causal and
cointegration relationships and simultaneous equation systems to
identify the path by which these social phenomena affect economic
outcomes.
Section II of this article establishes a theoretical framework as a
prelude to the analysis and defines the infotainment and social
phenomena that are hypothesized to contribute significantly to black
employment outcomes. Sections III and IV present variable consistent
analytical models and the results, respectively. Section V provides
conclusions.
II. THEORETICAL FRAMEWORK
Loury (1998) called on economists to "look beyond what happens
within markets" (p. 117) when examining the topic of racial or
gender discrimination. This article's key thrust is consistent with
Darity, Mason, and Stewart (2006) in that nonblacks may justify their
decision to operate as "racialists" when they observe blacks
through infotainment in stereotypical and antisocial roles. Further,
Darity, Mason, and Stewart (2006) argue that nonblacks may justify the
"us" versus "them" mentality that is intrinsic to
acts of employment discrimination in a "split labor market"
paradigm (Darity 1989). The latter, of course, increases the black-white
unemployment rate gap and the black unemployment rate.
[FIGURE 1 OMITTED]
The black-white unemployment rate gap and the black unemployment
rate could be viewed through one or all three discrimination theory
lenses that Loury (1998) discussed: taste, statistics, and market. In
effect, this article has implications for all three theories because the
econometric models that are presented permit a discriminator to be
interpreted as discriminating based on one or all three motivations. An
employer who decides to engage in employment discrimination against a
black applicant may be motivated by a taste derived from infotainment,
by a statistical framework based on signals observed through
infotainment, or by broad market conditions learned while consuming
infotainment. Similarly, a discriminator's decision could be based
on knowledge or perception of blacks' involvement in crime
(especially drug-related crimes), human immunodeficiency virus (HIV)/
acquired immunodeficiency syndrome (AIDS), hip-hop culture, or on
perceived differences between blacks and unauthorized immigrants; this
knowledge is likely to be obtained through consumption of infotainment.
Television, movies, newspaper, popular periodicals, and the
Internet are the primary media genres that embody the information and
entertainment characteristics that constitute infotainment. How can
infotainment sources contribute to black unemployment? This can be
accomplished by imprinting adverse images of blacks on the minds of
hiring officials. The imprinting process can occur at almost any point
in the hiring official's life; admittedly, given decay effects,
more recent imprinting experiences are likely to have a more pronounced
effect on hiring decisions. The focus here is on television infotainment
because it is the most pervasive form, and the remaining forms are
generally subsumed within it. (1)
DeFleur and DeFleur (1967) determined nearly 40 yr ago that
perceptions are affected by television, particularly when an observer
(consumer) has limited real-life experience concerning a topic. (2) In
addition, Gerbner and Gross (1976) found three decades ago that exposure
to television is correlated with perceiving the world more in accordance
with the way it is portrayed in television dramas. Kang (2005) discusses
current research that reaches into the subconscious and reveals how
racial schemas, which are promulgated through infotainment, produce
adverse responses on the part of whites toward blacks. Kang (2005)
exposes the prevalence of these (unconscious) adverse responses to
blacks in key social and economic interactions, including in employment
and hiring processes. (3)
Add to these research findings the fact that infotainment
industries accounted for 4.5% of U.S. gross domestic product (GDP) for
2005, with value added amounting to $555.2 billion and it becomes clear
that infotainment's power to persuade creates demand for these
industries' services and is responsible for their size. (4)
To further buttress this theoretical framework, note the following
circumstances concerning the absence of countervailing real-life
experiences to counteract the effects of adverse images in infotainment.
* Reporting for the U.S. Census Bureau, Iceland, Weinberg, and
Steinmetz (2002) indicate that from 1980 to 2000, an index of racial
housing spatial proximity decreased only 4.3% implying little change in
the extent to which blacks continue to reside disproportionately in
contiguous areas or segregated enclaves, which remain quite apart from
whites.
* Tatum (2003) discusses continued patterns of voluntary
segregation in public schools in her recent book, Why Are All the Black
Kids Sitting Together in the Cafeteria? And Other Conversations About
Race. In addition, Duhon (2002) describes how black elementary and
secondary public school students are often "tracked" into
highly segregated classes.
* Although their study focuses on a predominantly white university
in the Midwest, Radloff and Evans (2003) findings concerning continued
social distancing between blacks and whites is apparent on college
campuses across the nation.
* Klagge (2003), a professor at Virginia Tech University, concludes
that "few multiracial churches are successful" (p. 6), and
therewith echoes Martin Luther King's oft-quoted statement that
"the most segregated hour of Christian America is eleven
o'clock on Sunday morning."
These findings suggest that infotainment imprinting experiences are
simultaneously substantiated and reinforced by the above-described
segregation; that is, whites may not experience sufficient opportunities
to disconfirm and correct adverse infotainment images of blacks.
Following Loury's (1998) advice, in addition to infotainment,
the roles of four social phenomena--black drug-related arrests, black
HIV/AIDS cases, hip-hop culture, and perceived differences between
blacks and unauthorized immigrants--are examined as possible factors in
the black unemployment problem. Infotainment, especially television, is
widely recognized as presenting a preponderance of comical images of
blacks as explained by Bogles (1989, 2001) and Cosby (1994). These
images make blacks appear as unfocused personalities incapable of making
a serious and positive contribution in the work environment to augment a
firm's bottom line. In fact, for the period 1972-2002, of 778 black
prime-time television programs analyzed as part of this study, 378 or
48.6% were classified as comedies. (5) Blacks are presented as simply
too busy being funny to be busy producing, which constitutes a signal
that they should not be hired. In the econometric models presented in
this article, the number of prime-time television programs featuring
blacks in primary or secondary roles (credited cast members) serves as a
proxy for infotainment.
There are several key social phenomena that could engender adverse
notions about blacks among whites; the aforementioned four highly
visible social phenomena are incorporated into the statistical models.
First, crime is considered; however, a more focused and potentially
damaging subset of the crime spectrum is the abuse of illegal drugs. (6)
The idea that blacks generally abuse drugs could justify in the minds of
employers that blacks would not be good employees and, hence, cause
employers to engage in hiring discrimination against blacks. The annual
number of black arrests for drug offenses serves as the variable for the
models based on Uniform Crime Report data from the U.S. Department of
Justice, Federal Bureau of Investigation (1972-2003). In a modern
society, incarceration is a primary tool for removing undesirables. Much
has been written about the disproportionate level of black arrests
historically; Blumstein (2002) shows that black arrests and the related
disparity in sentencing can only be adequately explained using race
variables. Thus, one can view arrests as an iconic variable that
captures cultural sentiments on an in-groups (whites) versus out-groups
(blacks) basis.
Second, the role of sexually transmitted diseases among blacks is
examined as a possible reason for hiring discrimination and a higher
black unemployment rate. Employees with HIV/AIDS impose a cost on
employers that is not imposed by healthy employees. Employers may
attempt to avoid this cost by not hiring employees that they suspect
have HIV/ AIDS. Furthermore, puritanical perspectives may motivate
adverse opinions of blacks who contract AIDS and contribute to
employers' decision to not hire blacks. Data on the annual number
of black HIV/AIDS cases from the Health Statistics, Centers for Disease
Control (2005) are used in the models.
Third, after 400 yr as the dominant culture in the United States
and with other ethnicities mimicking, to some degree, white culture, it
may be somewhat unsettling for whites to experience blacks developing a
strong, new, and independent hip-hop culture, which is primarily based
on African and African Diaspora cultures. Whites who view hip-hop and
Rap music and culture as alien and nonconformist might respond to this
culture by rejecting as employees blacks who are aligned with that
culture. The annual number of Billboard Rap (hip-hop) Top 25 Singles
from Billboard Research Services (2005b) that appear on the Billboard
Top 100 Chart from Billboard Research Services (2005a) proxies for the
penetration of this new culture into mainstream American culture.
Fourth, over the past three decades, increasing numbers of
immigrants have entered the United States. What impact have these
immigrants had on black unemployment? Steinberg (2005) seeks to answer
this question by surveying key contributions to the literature on this
topic. For example, Ogbu (1991) and Lim (2001) account for the
employment success of immigrants vis-a-vis blacks by citing differences
in social capital between the two groups. That is, immigrants are
portrayed as possessing higher levels of motivation and interest in
working than blacks. Simon (1991) argues that, overall, immigrants do
not exacerbate unemployment. On the other hand, Moss and Tilly (2001)
conclude that many employers simply prefer immigrants over blacks; such
preferences should result in higher black unemployment. In a very recent
study, Borjas, Grogger, and Hanson (2006) conclude that the flow of
immigrants is correlated with reductions in employment for black males
and with increases in the black male incarceration rate. Moreover,
immigrants themselves likely contribute to the black-white unemployment
rate gap and black unemployment. Chang and Diaz-Veizades (1999) provide
clear evidence that black stereotypical media images reach international
audiences and contribute to the formation of adverse opinions of black
Americans among future emigrants to the United States. Logically, these
opinions contribute to immigrants' decisions to not hire blacks
after they arrive in the country. Because unauthorized immigrants have
filled many jobs formerly occupied by blacks, the effect of immigration on black unemployment is tested using data on unauthorized immigrant
flows that were obtained from the 2000 Decennial Census from the U.S.
Department of Commerce, Bureau of the Census (2003) and the 2004
American Community Survey from the U.S. Department of Commerce, Bureau
of the Census (2005b). (7)
Because infotainment, particularly television, serves as the great
communicating medium that transmits information about social phenomena,
it is important to test the impact of infotainment, black drug-related
arrests, black AIDS cases, hip-hop culture, and unauthorized immigration
variables in the models that have been selected to examine the
black-white unemployment rate gap. Note that because the four
aforementioned social phenomena are not completely independent of
television (i.e., they appear often in television programming), it may
be difficult to parse precisely all the effects of the social phenomena
variables when they appear in models that also contain the infotainment
variable.
III. MODELS
As a starting point, Figures 1-3 provide graphical representations
of the statistical relationships that are analyzed in this article.
Figure 1 shows the overall black-white unemployment rate gap for the
study period; the black unemployment rate is persistently at least twice
that of the white unemployment rate, with the gap peaking during the
1982 U.S. economic recession. Figure 2 shows the relationship between
the first differences in our featured infotainment measure (black
prime-time television programs) and the overall black-white unemployment
rate gap and the gap by gender. Figure 3 presents the relationship
between the first differences in our featured infotainment measure and
the overall black unemployment rate and the rate by gender. While the
companion series shown in Figures 2 and 3 do not reflect identical
variation, the variation appears to be closely correlated. Hence, we use
the econometric models discussed below to explore the nature of these
relationships.
A. Single Equation Models
Two primary econometric model specifications were developed to test
the hypothesis that infotainment--in this case television--and the
aforementioned social phenomena help explain black unemployment. First,
drawing on Gilman (1965), the black-white unemployment rate gap is
modeled using both market and social phenomena as covariates.
(1) [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
where [DELTA] represents first difference; the [beta]s are the
coefficients; the W and B prefixes on the unemployment rate (UR)
variable from the U.S. Department of Labor, Bureau of Labor Statistics (1972-2003), and the work experience (EXP) and average years of
schooling (AYS) variables from the U.S. Department of Commerce, Bureau
of the Census (1972-2003) stand for white and black, respectively; i =
1,2, and 3 (1 for all whites or blacks, 2 for males, and 3 for females);
t counts time over the years 1972-2002; GDP is for real gross domestic
product from the U.S. Department of Commerce, Bureau of Economic
Analysis (2005); T is for the number of prime-time television programs
on the major networks that featured blacks in primary or secondary roles
(credited cast members); SP is for the aforementioned social phenomena
such that m = 1 (black drug arrests), 2 (black HIV/AIDS cases), 3 (the
number of Billboard Top 25 Rap Singles), and 4 (unauthorized immigrant
flows); and T x GDP is an interaction term that accounts for the
multiplicative effects of the two previously described constituent
variables on the dependent variable. This interaction term is included
because the black-white unemployment rate gap and black unemployment
rate are affected by not only overall economic activity as reflected in
the GDP measure and by the number of black prime-time television
programs but also by the joint interaction of these two variables.
Excluding the interaction term would result in misspecification of the
models and would lead to a biased interpretation of the relationship
between the two constituent variables and the models' dependent
variables. Finally, TR is a time trend and [epsilon] is assumed to meet
the classic assumptions associated with error terms in linear regression models. Equation (1) is applied to the full sample and to subsamples of
only men and only women.
To aid our interpretation of the results of Equation (1), we also
estimate a separate set of equations for the overall, male, and female
black unemployment rates (Equation (2)).
(2) [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
[FIGURE 2 OMITTED]
[FIGURE 3 OMITTED]
Table 1 provides a complete list of variables that are used in
Models 1-6. (8) Table 2 provides a summary of the anticipated signs on
the coefficients in each model. Generally, positive signs are expected
on all coefficients, with the following exceptions:
* For all models, the coefficients on the GDP variable are expected
to reflect negative signs, which is consistent with a stylized fact
about the inverse relationship between growth in output and
unemployment.
* The coefficients on the black-white work experience gap and black
work experience variables are expected to reflect negative signs because
increases in the black-white work experience gap and increases in black
work experience generally increase job opportunities and therefore are
expected to reduce the unemployment rate gap and lower the black
unemployment rate, respectively.
* The coefficients on the black-white average years of schooling
gap and the black average years of schooling variables are expected to
show negative signs. This is consistent with the theory that higher
levels of knowledge and training make job candidates more suitable for
hiring, thereby reducing the black-white unemployment rate gap and
lowering the black unemployment rate.
After estimating the single equation regression models just
described, it appeared logical to test the structure of the relationship
between the key variables under study: the black-white unemployment rate
gap and black prime-time television programs (infotainment). First, we
use Granger's (1969) method to test the variables for causality and
the Engle and Granger (1987) method to tests the variables for
cointegration. Finally, we examine a simultaneous equation system where
employment, total black arrests, and an index of black adverse images
that appear in television programs are the dependent variables.
The following systems of structural equations were posited for
Models 1-3:
(3A) [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
(3B) [DELTA][TBA.sub.it] = [[gamma].sub.1] +
[[gamma].sub.2][DELTA][TIND.sub.t] + [[gamma].sub.3][DELT][BDA.sub.it] +
[[gamma].sub.4][DELTA][BAC.sub.t] + [[gamma].sub.5][DELTA][HH.sub.t] +
[[gamma].sub.6][DELTA][M.sub.t] + [[gamma].sub.7][DELTA][TR.sub.t] +
[u.sub.2t].
(3C) [DELTA][TIND.sub.t] = [[alpha].sub.1] +
[[alpha].sub.2][DELTA][T.sub.t] + [[alpha].sub.3][DELTA](BI.sub.t] -
[WI.sub.t]) + [[alpha].sub.4][DELTA]([T.sub.t] x [GDP.sub.t]) +
[[alpha].sub.5][TR.sub.t] + [u.sub.3t].
We also estimate this system of equations with changes in the
total, male, and female black unemployment rate as the dependent
variables, Models 4-6, respectively. Equation (3C) tests the
relationship between a "television index (TIND) of adverse images
of blacks" and the number of black prime-time television programs
(T), the black-white income gap based on data from the U.S. Department
of Commerce, Bureau of the Census (2006), the T x GDP interaction term,
and a time trend. (9,10) This specification is based on the idea that
the adverse image content of black prime-time television programs is a
function of (1) the number/quantity of such programs and (2) differences
in the relative incomes of the two primary groups that view the
programs; and the interaction of the number of programs and GDP growth
(see Footnote 10). Equation (3B) tests the relationship between the
aforementioned index and the previously discussed cultural variables
with the total number of black arrests ([DELTA]TBA)--a key cultural
variable. (11) Importantly, Equation (3B) presents a decomposition of
the effects of the four-component SP vector on total black arrests and,
ultimately, on the black-white unemployment rate gap and on black
unemployment.
Finally, Equation (3A) tests the relationship between the total
black arrests ([DELTA]TBA) cultural variable and the T x GDP interaction
term and the black-white unemployment rate gap ([DELTA](BUR - WUR) and
[DELTA]BUR)--the economic variables of interest. The estimated parameter
for the black arrest variable reflects the potential of culture to
influence economic outcomes; given the variable interrelations in the
system of equations, it also yields information about the effect of
black television programs and the T x GDP interaction term on that
economic outcome.
The above structural model was recast using the following matrix
notation:
(4) [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
The reduced form of the above system of structural equations may be
written as follows:
(5) [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]
The reduced form of the system reveals that the effect of black
prime-time television programs on the black-white unemployment rate gap
and the black unemployment rate can be identified from the cells at the
intersection of row 1, columns 5 and 11 of the first matrix to the right
of the equal sign in Equation (5); that is, the values of the
([[beta].sub.6] + [[beta].sub.5][[gamma].sub.2][[alpha].sub.4]) +
([[beta].sub.5][[gamma].sub.2][[alpha].sub.2] estimated parameters. (13)
IV. RESULTS
A. Single Equation Models
Applying ordinary least squares, the results for Equations (1) and
(2) were obtained and are presented in Tables 3 and 4. (14) Generally,
the results are as anticipated (Table 2); however, there are a few
unexpected outcomes. As hypothesized, all coefficients for the black
television program variable reflect positive signs. Most of the
coefficients are significant at the 1% level. These results imply that
increases in the number of black prime-time television programs are
associated with increases in the black unemployment rate (Models 4-6 of
Table 4) and with an increase in the black-white unemployment rate gap
(Models 1-3 of Table 3). These findings are consistent with the idea
that blacks experience adverse economic effects when prospective
employers consume certain types of infotainment. Depending on the model
specification, the results indicate that a one-unit change in the number
of black television programs is associated with up to a 0.15 percentage
point concomitant change in the black-white unemployment rate gap and
with up to a 0.20 percentage point change in the black unemployment
rate.
Notably, coefficients for the black drug-related arrest variable
are small and positive. The only statistically significant coefficient is in the black-white unemployment rate gap models (Models 1-3).
Consequently, one cannot completely reject the idea that widespread
information concerning black drug-related arrests could influence
decisions to not hire blacks. However, the lack of statistically
significant coefficients in a wider range of models, particularly in the
black unemployment rate models, does not permit strong statements about
the impact of this variable on black unemployment.
Coefficients on the black HIV/AIDS case variable are small,
fluctuate between positive and negative, and are not statistically
significant. These results imply that although HIV/ AIDS may be an
important social phenomenon, it may not be viewed as a problem that is
unique to blacks and may not engender adverse perceptions of blacks.
Because HIV/ AIDS can be contracted through sexual contact and by
sharing needles that are used for injecting illegal drugs, it may be the
case that the black drug-related arrest variable could be accounting for
some of the impact on black unemployment that might otherwise be
accounted for by the black HIV/AIDS case variable.
It was hypothesized that the hip-hop culture might be viewed as
alien and nonconformist, making blacks who participate in that culture
appear to be unsuitable for employment in the eyes of prospective
employers. It turns out that the coefficients on the hip-hop culture
variable are small, fluctuate between positive and negative, and are
only statistically significant in the black unemployment rate models
(Models 4-6). A priori, the implication of these results is that greater
penetration of hip-hop culture into mainstream culture is not associated
with a reduction in employment opportunities for blacks.
It was hypothesized that increased flows of unauthorized immigrants
would be associated with higher black unemployment and therefore a
larger black-white unemployment rate gap. The variable reflects
coefficients that are small, primarily negative, and that only indicate
a statistically significant relationship for three of the six models.
The sign on the coefficient for this variable is inconsistent with the
initially stated hypothesis; however, the size of the coefficients is
consistent with Simon's (1991) conclusion that immigrants have an
innocuous effect on black unemployment. The statistical significance of
the coefficient on the unauthorized immigrant variables in the
black-white female unemployment gap and black female unemployment models
may imply a certain economic complementarity between unauthorized
immigrants and employment for women.
Two of the three remaining variables that are included in the
models were selected to build on Gilman's (1965) earlier study on
black unemployment: work experience (EXP) and average years of schooling
(AYS). The third variable, GDP, is included due to the well-understood
relationship between the growth in output and the unemployment. The GDP
variable's coefficients are statistically significant throughout
and carry negative signs, reflecting the expected inverse relationship
between the economic growth and the black-white unemployment rate gap.
(15) The coefficients on the work experience variables show the expected
results; they are negative in the black-white unemployment rate gap
models and negative in the black unemployment models. One of the six
coefficients is statistically significant at the 5% level and three are
significant at the 10% level. These results imply that greater work
experience is generally associated with improved employment
opportunities for blacks.
The average years of schooling indicator provides unexpected
results. For the overall black-white unemployment rate gap and black
female unemployment rate models, the coefficients on the AYS variable
are positive and statistically significant for only two of the six
models. These results imply that a closing of the black-white
educational attainment gap is associated with increases in the overall
black-white unemployment rate gap and with increases in the unemployment
rate for black females. This finding may appear anomalous. However, over
20 yr ago, Hirschman (1988) argued that although the educational
attainment gap between black and white workers had narrowed considerably
over the previous 25 yr, the unemployment rate gap between the two
groups had widened. (16) He noted that while education is generally
associated with lower unemployment, black unemployment rates are higher
at every educational level. Moreover, Donahoe and Tienda (1999) cite
numerous authors in cataloging the skills deficit that plagues minority
youth, in particular, who enter labor markets that reflect persistent
structural shifts as the economy evolves technologically. In other
words, the positive and statistically significant relationship between
the AYS quantity measure of educational attainment and the black-white
unemployment rate gap and black female unemployment rate may be pointing
to a quality gap between black and white educational attainment.
Unfortunately, to the author's knowledge, historical measures of
educational attainment on a quality-adjusted basis are not yet available
by race/ ethnicity and gender. (17)
Inclusion of the final interaction (T x GDP) term in the models
that are based on Equations (1) and (2) created severe multicolinearity
with its constituent variables and distorted the estimation results and
did not add significantly to the explanatory power of the models.
Consequently, the interaction term was excluded from the single equation
models. However, it was retained in the simultaneous equation models,
which will be discussed below.
The negative parameter estimates that were derived for the TR
variable for the black-white unemployment rate gap models are consistent
with expectations but are not statistically significant. However, for
the black unemployment rate models, the estimated parameters are small,
positive, and generally reflect statistical significance. These results
indicate a very slight uptrend in black unemployment--particularly, for
the overall model and for black males.
B. Tests for Causality and Cointegration
Using Granger's (1969) method and up to four lag periods,
bivariate causality tests were performed on two sets of key variables
under study: (1) the black-white unemployment rate gap and black
prime-time television programs and (2) the black unemployment rate and
black prime-time television programs. (18) The tests resulted in
decisions to fail to reject dual, null hypotheses that the black
television program variable does not Granger cause the black-white
unemployment rate gap or the black unemployment rate and vice versa.
However, long-term statistical relationships were identified between the
two sets of variables based on Cointegrating Regressions'
Durbin-Watson Statistics as suggested by Engle and Granger (1987). (19)
The latter results indicated that further statistical analyses were
required to determine the specific nature of relationships between the
black-white unemployment rate gap and the black television program
variables and between the black unemployment rate and the black
television program variables.
C. Simultaneous Equation Model
In an effort to specify more completely the nature of the
relationship between the black-white unemployment rate gap and the black
prime-time television programs, estimates were prepared for the
simultaneous systems of equations that were described in Equations (3)
using three stage least squares. As noted, the estimated parameters in
the cell at the intersection of row 1, columns 5 and 11 of the first
matrix to the right of the equal sign in Equation (5) provide the answer
to how the two variables are related. Values for these parameters,
[[beta].sub.5][[gamma].sub.2][[alpha].sub.2] + ([[beta].sub.6] +
[[beta].sub.5][[gamma].sub.2][[alpha].sub.4]), were estimated as part of
the entire equation system and are presented, along with complete
results, in Tables 5 and 6.
The statistically significant results indicate that the key
combination of estimated
parameters--[[beta].sub.5][[gamma].sub.2][[alpha].sub.2] +
([[beta].sub.6] + [[beta].sub.5][[gamma].sub.2][[alpha].sub.4])--range
from 0.0588 to 0.1016. The parameter values can be interpreted to mean
that a one-unit change in the number of black prime-time television
programs, conditioned on the related point value of the change in real
GDP, is associated with a 0.0588-0.1016 percentage point change in the
black unemployment rate and the black-white unemployment rate gap. These
results are consistent with the idea that black prime-time television
programs ([[alpha].sub.2]) embody adverse images of blacks on television
as captured in an index of black television programs ([[gamma].sub.2]);
that those adverse images are correlated with the total number of black
arrests ([[beta].sub.5]); and that those arrests, by sending a signal of
criminal or deviant behavior to the broader society, are positively
correlated with the black-white unemployment rate gap. As noted, the
latter outcome, is conditioned on the associated value of the change in
real GDP as reflected by the parameter estimates for the interaction
term--[[beta].sub.6] + [[beta].sub.5][[gamma].sub.2][[alpha].sub.4]. It
is worth noting that the arithmetic signs associated with the estimated
parameters in the system of equations are consistent with those for the
estimated parameters in the single equations models already discussed
(Tables 3 and 4). Given the size of the black labor force and median
weekly earnings for 2002 from the U.S. Department of Labor, Bureau of
Labor Statistics (2003), these results imply that a one-unit reduction
in the number of black prime-time television programs would be
associated with an increase in black employment of up to 10,000 and up
to nearly $0.3 billion in related earnings for the year. Over the 30 yr
under study, the models' results imply that the number of
unemployed black workers was increased by hundreds of thousands and that
earnings over the period were reduced by between $5 and $10 billion in
(2002) dollars as a result of marginal broadcasts of black prime-time
television programs. These findings must be tempered somewhat because of
the restricted data set that underlies this analysis.
Further results from the simultaneous system of equations model
reveal that the number of black prime-time television programs is
inversely related to the index of adverse images of blacks (Equation
(3C)). This may be explained by the fact that period-to-period increases
in the number of black prime-time television programs is quite often
associated with the addition of programs that presents blacks in fewer
adverse stereotypical roles. On the other hand, period-to-period
decreases in the number of black prime-time programs are often
associated with a return to a core program set that reflects the most
salient adverse images of blacks.
The television index of adverse images is inversely related to
total black arrests (Equation (3B)). This is an intuitively sound result
because program content that features blacks in police or crime-related
activities may actually serve as a deterrent to crime. On television,
crimes are usually solved by program's end, which sends a message
that crime does not pay. The total black arrest variable is positively
correlated with the black-white unemployment rate gap and the black
unemployment rate. Clearly, the more the media reflects a proclivity on
the part of blacks to participate in criminal activities, the greater
the likelihood that hiring officials will choose to not hire
blacks--thereby expanding the unemployment rate gap between blacks and
whites and increasing the black unemployment rate.
Finally, the coefficient on the T x GDP interaction term is
positive and statistically significant throughout, indicating that the
interplay of the growth in GDP with the types of black prime-time
television programs that are broadcast and vice versa must be accounted
for in order to fully explain the effect of these television programs on
the black-white unemployment rate gap and the black unemployment rate.
It is noteworthy that the combination of the estimated parameters for
the interaction term from the reduced form equations generally moderate
the impact of black prime television programs on the dependent variables
in the models.
Interestingly, while simultaneous equation Models 1, 3, 4, and 6
reflect statistically significant coefficients for the total black
arrest variables, no such statistical significance is identified in the
models that feature the black-white male unemployment rate gap and the
black male unemployment rate as dependent variables (Models 2 and 5).
The lack of a strong correlation between total arrests of black males
and their unemployment may reflect the pervasive, commonplace nature,
and the cultural embeddedness of these arrests. Consequently, black male
arrests may have submerged into a complex of factors that, together,
explain the black-white male unemployment rate gap and the black male
unemployment rate.
V. CONCLUSIONS
Loury's (1998) call for greater use of social phenomena to
explain economic outcomes was insightful. Seeking greater clarification
of his arguments, this article established a theoretical framework for
testing the effects of social phenomena on economic outcomes. Single
equation econometric analysis revealed that increased broadcasts of
black prime-time infotainment that quite often present adverse
stereotypical images of blacks are associated with increases in black
unemployment and with related increases in the black-white unemployment
rate gap. This result is consistent with the idea that blacks experience
negative consumption externalities when whites view adverse images of
blacks through infotainment, then exhibit negative behavior toward
blacks--in this case, failing to hire blacks.
In addition, single equation econometric results revealed that
increases in black drug-related arrests are correlated with increases in
the black-white unemployment rate gap. There appears to be a negative
correlation between black hip-hop culture and the unemployment rate for
blacks--particularly for black males. Due to multicolinearity, it was
difficult to isolate the relationships between the black-white
unemployment rate gap and the black unemployment rate and black HIV/AIDS
cases. Multicolinearity between the interaction (T x GDP) term and its
two constituent variables were also problematic; consequently, we
excluded the interaction term from these models. However, the analysis
confirmed earlier research that unauthorized immigration into the United
States appears to have innocuous effects on the black unemployment rate
in general--at least in an aggregate economic context. (20) Finally, the
coefficient on the time trend variable (TR) indicated a slight uptrend
in black unemployment particularly for black males. The key point that
stands out from this analysis is that black prime-time television
programs appear to affect adversely the demand for black labor. Given
model specifications, however, it would be inappropriate to draw strong
policy conclusions from the results produced by these single equation
models.
Tests for cointegration revealed that there are long-term
statistical relationships between the black-white unemployment rate gap
and the black television programs and between the black unemployment
rate and black television programs.
The nature of those relationships--that is, the transmission
mechanism--was clarified by systems of simultaneous equations. These
models confirmed that there is a positive relationship between the
black-white unemployment rate gap and the black unemployment rate and
the black prime-time television program variables. These programs affect
the overall perception of blacks as indicated by a television index of
adverse images of blacks. The latter index is correlated with the number
of total black arrests, which, in turn, influences hiring
officials' decisions. Given the inclusion of an interaction term in
the models, the just-mentioned impact of black prime-time television
programs on the black-white unemployment rate gap and black unemployment
is conditioned on the related point value of GDP growth.
Admittedly, the statistically significant parameter estimates for
the effect of infotainment on the black-white unemployment rate gap and
the black unemployment rate [[[beta].sub.3] in Equations (1) and (2) vs.
[[beta].sub.5][[gamma].sub.2][[alpha].sub.2] + ([[beta].sub.6] +
[[beta].sub.5][[gamma].sub.2][[alpha].sub.4]) in Equation (5)] are
somewhat different--from 0.1112 to 0.2001 versus from 0.0588 to 0.1016
percentage points, respectively. However, these estimates are consistent
in sign and reveal a possible range of effects. Taking the latter set of
results as conservative estimates, we estimate that the number of
unemployed black workers was increased by hundreds of thousands as a
result of marginal increases in the number of black prime-time
television programs over the 1973-2002 period and that blacks lost
between $5 and $10 billion in (2002) dollars in related earnings over
the period under study--1973-2002.
While the models, the data, and the results discussed above may not
end the debate concerning the effects of black prime-time television
programs on the black-white unemployment rate gap and on the black
unemployment rate, the analysis does usher up the following analogy:
"Winds are blowing that affect the White-Black unemployment rate
gap and the Black unemployment rate; we have learned that these winds
are blowing in a significant way through Black prime-time television
programs."
Further testing, replication, confirmation, and extension of these
results may justify efforts to modify infotainment images so that they
become balanced and accurate. As a corrective action, blacks may
consider discontinuing their participation in the promulgation of
adverse stereotypical images of themselves; they could also advocate for
the expansion of infotainment that features nonstereotypical images of
blacks. Blacks might benefit significantly from efforts to educate
themselves concerning the deleterious effects of stereotypes on
television and how they affect the ability of black Americans to obtain
employment. Notwithstanding the right to freedom of speech, it may be
appropriate for those injured by infotainment to seek reasonable
protection from its harm. To develop an effective response to the
adverse effects of black prime-time television programs on the demand
for black labor, it may be necessary for blacks to mount rent-seeking
efforts to modify infotainment that is transmitted through television,
the Internet, and other popular media forms that may appear on the
horizon.
APPENDIX A TELEVISION INDEX OF ADVERSE IMAGES OF BLACKS
The television index (TIND) of adverse images of blacks was
constructed using the average annual number of black prime-time
television programs (]3, which were assigned weights and evaluative
values based on their class and type, respectively. For the period
1972-2002, 778 black prime-time television programs were assigned to ten
program classes (Action, Comedy, Drama, Espionage, Fantasy, Human
Interest, Musical, New, Science Fiction, and Western) and to 33 program
types (Adventure, Buddy, Business, Cartoon, Community, Crime, Detective,
Domestic, Educational, Espionage, Family, Fantasy, Football, Frontier,
Human Interest, Horror, Legal, Magazine, Medical, Military, News,
Paranormal, Police, Political, Quiz, Religious, Social, Space, Sports,
Travel, Variety, Western, and Work life).
The drama and news classes of programs were assigned a class weight
(CW) of 2 because they constitute the most realistic
("credible") programs. The class of comedies, which often
present blacks in buffoonish roles, was assigned a CW of 1.5. All other
program classes were assigned a CW of 1.
Because crime is the most deviant form of behavior that can be
presented on prime-time television, all black prime-time programs that
were of the Crime, Detective, Legal, or Police type were assigned an
evaluative value (TEV) of 2; the remaining program types were assigned a
TEV of 1.
Period t values of the TIND were calculated using the following
equation:
[TIND.sub.t] = ([10.summation over (h=1)] [33.summation over (i=1)]
[CW.sub.ht] x [TEV.sub.it])/[summation][T.sub.t].
Over the period 1972-2002, the TIND assumed values ranging from
1.813 to 2.615. The TIND represents a measure that captures the
concentration of programs that feature blacks in criminal or related
roles under the most credible of circumstances (dramas and news
programs) and that feature blacks in the most buffoonish roles
(comedies). The class weighting scheme places more weight on the most
credible programs because it is believed that it is more damaging for
blacks to be viewed as criminal when undertaking efforts to obtain
employment than to be viewed as simply buffoonish.
ABBREVIATIONS
AIDS: Acquired Immunodeficiency Syndrome
GDP: Gross Domestic Product
HIV: Human Immunodeficiency Virus
REFERENCES
Arrow, K. "Models of Job Discrimination," in Racial
Discrimination in Economic Life, edited by A. E. Pascal. Lexington:
Lexington Books, 1972a, 83-102.
--. "Some Mathematical Models of Race Discrimination in Labor
Markets," in Racial Discrimination in Economic Life, edited by A.
E. Pascal. Lexington: Lexington Books, 1972b, 187-203.
Billboard Research Services. Billboard's Hot 100 Singles of
the Year. New York: VNU Business Media, 2005a.
Billboard Research Services. Billboard's Top Rap Singles of
the Year. New York: VNU Business Media, 2005b.
Blumstein, A. "Crime Modeling." Operations Research,
50(1), 2002, 16-25.
Bogles, D. Toms, Coons, Mulattoes, Mammies, and Bucks: An
Interpretive History of Blacks in American Films. New York: Continuum,
1989.
--. Prime Time Blues." African Americans on Network
Television. New York: Farrar, Straus and Giroux, 2001.
Borjas, G., J. Grogger, and G. Hanson. "Immigration and
African-American Employment Opportunities: The Response of Wages,
Employment and Incarceration to Labor Supply Shocks," National
Bureau of Economic Research Working Paper No. 12518, 2006.
Brooks, T., and E. Marsh. The Complete Directory to Prime Time
Network and Cable TV Shows." 1946-Present. 8th ed. New York: The
Random House Publishing Group, 2003.
Chang, E., and J. Diaz-Veizades. Ethnic Peace in the American
City." Building Community in Los Angeles and Beyond. New York: New
York University Press, 1999.
Cosby, C. Television Imageable Influences." The
Self-Perceptions of Young African-Americans. Lanham: University Press of
America, 1994.
Darity, W. "What's Left of the Economic Theory of
Discrimination?" in The Question of Discrimination, edited by S.
Shulman and W. Darity. Middletown: Wesleyan University Press, 1989,
335-74.
Darity, W., P. Mason, and J. Stewart. "The Economics of
Identity: The Origin and Persistence of Racial Identity Norms."
Journal of Economic Behavior & Organization, 60, 2006, 283-305.
Darity, W., and P. Mason. "Evidence on Discrimination in
Employment: Codes of Color, Codes of Gender." Journal of Economic
Perspectives, 12(2), 1998, 63-90.
DeFleur, M., and L. DeFleur. "The Relative Contribution of
Television as a Learning Source for Children's Occupational
Knowledge." Sociological Review, 32, 1967, 77-89.
Duhon, G. "Tracking," in Racism in the Classroom, edited
by N. Quisenberry and D. McIntyre, Olney: Association for Childhood
Education International and Association of Teacher Education, 2002,
137-46.
Donahoe, D., and M. Tienda. "Human Asset Development and the
Transition from School to Work: Policy Lessons for the 21st Century.
Paper prepared for the Ford Foundation Conference on "Investing in
Children" sponsored by the Ford Foundation and Columbia University,
June." 1999. Accessed December 1, 2007
http://opr.princeton.edu/papers/opr9903.pdf.
Engle, R., and C. Granger. "Co-Integration and Error
Correction: Representation, Estimation, and Testing." Econometrica,
55, 1987, 251-76.
Fraumeni, B., M. Reinsdorf, B. Robinson, and M. Williams.
"Price and Real Output Measures for the Education Function of
Government: Exploratory Estimates for Primary & Secondary
Education." Paper for the Conference on Research in Income and
Wealth, Price Index Concepts and Measurement in Vancouver, BC,
Canada." 2004. Accessed December 2, 2007
http://www.ipeer.ca/papers/Fraumeni,Reinsdorf,
Robinson&Williams,Aug52004CRIWpaper.doc.
Gerbner, G., and L. Gross. "Living With Television: The
Violence Profile." Journal of Communication, 26(2), 1976, 173-99.
Gilman, H. "Economic Discrimination and Unemployment."
American Economic Review, 55(5), 1965, 1077-96.
Granger, C. "Investigating Causal Relations by Econometric
Models and Cross-Spectral Methods." Econometrica, 37, 1969, 424-38.
Hirschman, C. "Minorities in the Labor Market," in
Divided Opportunities: Minorities, Poverty and Social Policy, edited by
G. D. Sandefur and M. Tienda. New York: Plenum Publishers, 1988, 63-86.
Howells, T., K. Barefoot, and B. Lindberg. "Annual Industry
Accounts: Revised Estimates for 2003-2005." Survey of Current
Business, 86(12), 2006, 45-87.
Iceland, J., D. Weinberg, and E. Steinmetz. CENSR-3, Racial and
Ethnic Residential Segregation in the United States: 1980-2000.
Washington, DC: U.S. Government Printing Office, 2002.
Jorgenson, D., and B. Fraumeni. "The Accumulation of Human and
Nonhuman Capital, 1948-1984," in Productivity Volume 1: Postwar U.S. Economic Growth, edited by D. W. Jorgensen. Cambridge: The MIT Press, 1996, 273 332.
Kang, J. "Trojan Horses of Race." Harvard Law Review,
118, 2005, 1489-593.
Klagge, J. "The Most Segregated Hour in America?" Roanoke
Times, NRV Current. April 27, 2003, pp. 6.
Lim, N. "On the Back of Blacks? Immigrants and the Fortunes of
African Americans," in Strangers at the Gates. New Immigrants in
Urban America, edited by R. Waldinger. Berkley: University of California
Press, 2001, 186-227.
Loury, G. "Discrimination in the Post-Civil Rights Era: Beyond
Market Interaction." Journal of Economic Perspectives, 12(2), 1998,
117-26.
Moss, P., and C. Tilly. Stories Employers Tell: Race, Skill, and
Hiring in America. New York: Russell Sage Foundation, 2001.
National Center for Health Statistics, Centers for Disease Control.
"Data Warehouse on Trends in Health and Aging; HIV/AIDS Cases by
Exposure Category, Age, Race, and Ethnicity," (2005). Accessed
December 10, 2005. http://209.217.72.34/aging/ReportFolders/
ReportFolders.aspx.
Ogbu, J. "Immigrant and Involuntary Minorities in Comparative
Perspective," in Minority Status and Schooling: A Comparative Study
of Immigrant and Involuntary Minorities, edited by M. Gibson and J.
Ogbu. New York: Garland Publishing, 1991, 3-33.
Radloff, T., and N. Evans. "The Social Construction of
Prejudice Among Black and White College Students." NASPA Journal,
40(2), 2003, 1-16.
Simon, J. "The Case for Greatly Increased Immigration."
Public Interest, 102(Winter), 1991, 89-103.
Shulman, S. "Discrimination, Human Capital, and Black-White
Unemployment Evidence from Cities." Journal of Human Resources.
22(3), 1987, 361-76.
Shulman, S., and R. Smith. "Immigration and African
Americans," in African Americans in the U.S. Economy, edited by C.
Conrad, J. Whitehead, P. Mason, and J. Stewart. Lanham: Rowman &
Littlefield Publishers, 2005, 199-207.
Steinberg, S. "Immigration, African, Americans, and Race
Discourse." New Politics, 10(3), 2005, 42-54. Accessed May 15,
2006 http://www.wpunj.edu/newpol/issue39/Steinberg39.htm.
Tatum, B. Why Are All the Black Kids Sitting Together in the
Cafeteria? And Other Conversations About Race. New York: Basic Books,
2003.
U.S. Department of Commerce, Bureau of the Census. "Historical
Income Tables--Families. Table F-7, Type of Black and White Family by
Median and Mean Income: 1967-2004." 2006. Accessed July 29, 2006
http://www.census.gov/hhes/www/income/histinc/incfamdet.html.
U.S. Department of Commerce, Bureau of the Census. Current
Population Survey. "Average years of schooling and percent of the
population over 15 years of age that is greater than 25 years of age for
1971-2002." 1972-2003. Accessed December 10, 2005
http://www.census.gov/population/www/socdemo/educ-attn.html.
U.S. Department of Commerce, Bureau of the Census. 2000 Decennial
Census. "Public Use Micro-Data Files, Five Percent Sample."
2003. Accessed May 23, 2006, through the Data Ferrett System from
http://dataferrett.census.gov.
U.S. Department of Commerce, Bureau of the Census. Statistical
Abstract of the United States." 2006. "Section 24, Information
and Communications." 2005a. Accessed December 26, 2005
http://www.census.gov/prod/2005pubs/06statab/infocomm.pdf.
U.S. Department of Commerce, Bureau of the Census. 2004 American
Community Survey. "Public Use Micro-Data File." 2005b.
Accessed May 23, 2006, through the Data Ferrett System from
http://dataferrett.census.gov.
U.S. Department of Commerce, Bureau of Economic Analysis.
"Real Gross Domestic Product, Quantity Indexes for 1971-2002"
from National Income and Product Account Table 1.1.3. 2005. Accessed
December 10, 2005 http://www.bea.gov/bea/dn/nipaweb/SelectTable.asp?Selected=N.
U.S. Department of Justice, Federal Bureau of Investigation.
Uniform Crime Reports. "Section IV: Persons Arrested for
1971-2002." 1972-2003. Accessed December 10, 2005
http://www.fbi.gov/ucr/ucr.htm.
U.S. Department of Labor, Bureau of Labor Statistics.
"Unemployment Rates by Sex, Race, and Hispanic Origin for
1971-2002." 1972-2003. Accessed December 8, 2005 Sok_E@bls.gov.
U.S. Department of Labor, Bureau of Labor Statistic. Usual Weekly
Earnings of Wage and Salary Workers: Fourth Quarter 2002. Washington,
DC: U.S. Department of Labor, 2003.
BROOKS B. ROBINSON, This is a revision of an article presented at
the 81st Annual Western Economic Association International Conference,
San Diego, California, June 30, 2006, for a session entitled "Race
and Ethnicity in Labor Markets." The author is grateful for
comments and suggestions from David Levy, Christian Ehemann, Lawrence
McNeil, Tracy Regan, Allen Lynch, and by the referees.
Robinson: Director, BlackEconomics.org, P.O. Box 8848, Honolulu, HI
96830. Phone 808-232-7363, Fax 808-589-1043, Email
blackeconomics@blackeconomics.org.
doi: 10.1111/j.1465-7295.2008.00165.x
Online Early publication August 29, 2008
(1.) The Statistical Abstract of the United States: 2006 from the
U.S. Department of Commerce, Bureau of the Census (2005a), reported that
persons in the United States spent an average of 1,745 h consuming
television during 2003, 1,002 h listening to the radio, 184 h listening
to recorded music, 171 h reading daily newspapers, 121 h reading
consumer magazines, and 108 h reading consumer books (see table 1116 in
Media Usage and Consumer Spending: 2000-2008).
(2.) Although DeFleur and DeFleur's study featured television
as a transmitter of knowledge about occupations, it is appropriate to
extrapolate their findings to cases where television is used to transmit
knowledge about social groups.
(3.) Kang (2005) discusses cognition studies that incorporate
Implicit Association Tests and other studies that test for racial
discriminatory responses: for example, a test that identified stronger
expressions of anger/frustration when a black versus a white face was
flashed to a subject on a computer screen immediately before a computer
crashes during processing; a test that indicated a significantly
stronger tendency for subjects to shoot blacks versus whites who were
unarmed during computerized simulations; and a test showing that
prospective employers responded at a 50% higher rate to identical
resumes that reflected fictitious "white" versus "African
American" names.
(4.) Infotainment industries are industries in the 1997 North
American Industry Classification System major industry group 51,
including publishing, motion pictures and sound recording, broadcasting
and telecommunications, and information and data processing. The
statistics are presented in Howells, Barefoot, and Lindberg (2006).
(5.) A database that reflects a variety of information about each
of these programs is available from the author upon request.
(6.) Later in this article, a broader measure of crime--total black
arrests (TBA)--is used in simultaneous equation models.
(7.) A time series for the flow of unauthorized immigrants was
constructed for the period 1970-2004 by linking 2000 Decennial Census
from the U.S. Department of Commerce, Bureau of the Census (2003) and
2004 American Community Survey data on the reported "year of
entry" for foreign-born immigrants who subsequently became
"citizen by naturalization" or were "not citizen" at
the time of reporting.
(8.) The data used in the analysis are available from the author
upon request.
(9.) See Appendix A for information about the purpose, design, and
computation of the TIND index.
(10.) The black-white income gap variable in Equation (3C) accounts
for networks' motivation to broadcast programs that feature blacks
as credited cast members. The ultimate economic rationale for television
broadcasts is to attract viewers who are exposed to advertisements and
who are expected to purchase the advertised products. A closing of the
black-white income gap should motivate advertisers to seek more black
viewers with which to pitch their products; that is, we expect a
negative sign on the estimated parameter for this variable. A testable
hypothesis is that blacks would prefer fewer adverse black images on
programs that they view than would whites and that advertisers are
cognizant of, and respond to, such preferences. The assumption is that
the blend of programs desired by advertisers, as reflected in the TIND
variable, is directly related to advertisers' perceptions of the
blend of programs that will optimize program/advertisement viewership.
To avoid multicolinearity, the GDP variable is excluded from the model.
However, given the joint roles of the number of black prime-time
television program and economic growth on the TIND variable, we include
the T x GDP interaction term in the equation. The TR variable is
included in the model to account for overall trends in the TIND
variable.
(11.) The total black arrest variable serves as an endogenous
variable, as opposed to black drug arrests, because the former is a
broader cultural/social indicator. Note that black drug arrests is
included as an explanatory variable in the equation system.
(12.) The value of [delta] is 1.
(13.) Normally, when the economic literature reflects structural
equations with interaction terms, both constituent variables also appear
in equations that include the interaction term. The simultaneous
equation models presented in this article deviate from this practice by
reflecting the interaction term and only one of the related constituent
variables in structural equations. This approach proves to be acceptable
as long as the constituent variables that are included in the structural
equations are appropriately aligned to produce reduced form estimated
parameters that are sufficient to address research questions under
study. It is left to the reader to show that the inclusion of both
constituent variables in structural equations in simultaneous equation
models result in the estimation of "surplus" reduced form
parameter estimates; that is, parameter estimates that are not required
to determine the relationship between a dependent variable and the
constituent variable under study.
(14.) Each model was corrected for first-order serial correlation
using the Cochrane-Orcutt method.
(15.) Blacks are often the "last hired and first fired,"
meaning that the black-white unemployment rate gap shrinks during an
economic expansion but expands during an economic slowdown.
(16.) Hirschman's analysis covered the years 1959-1984; the
ending period was well beyond the trough of the 1982 economic recession.
(17.) Jorgenson and Fraumeni (1996) were the first to develop
national estimates of the stock of human capital on a quality-adjusted
basis, and national economic accounting measures of the quality-adjusted
output of education are currently under development (Fraumeni et al.
2004). However, historical measures of the quality of the stock of human
capital and of education output by race/ethnicity and gender are some
distance away.
(18.) A decision to conclude causality tests after testing four lag
periods was made based on values from autocorrelation functions, t
statistics (5% level of significance) and adjusted [R.sup.2] (increasing
vs. decreasing values) statistics.
(19.) The two sets of series were tested for unit roots. After
rejecting the null hypothesis of unit roots, cointegrating regressions
with a constant term were run. They produced Durbin-Watson statistics of
0.3331 and 0.4952, respectively, which permits weak (10% level of
significance) rejection of the null hypothesis of no cointegration
between the black-white unemployment rate gap and black prime-time
television program variables and a strong rejection (5% level of
significance) of the null hypothesis of no cointegration relationship
between the black unemployment rate and black prime-time television
program variables. The asymptotic critical value is 0.385 at the 5%
level of significance (see table II in Engle and Granger 1987, p. 269).
(20.) See Borjas, Grogger, and Hanson (2006) and Shulman and Smith
(2005) for reasons why unauthorized immigrant flows may not have
innocuous effects.
TABLE 1
Variable Definitions
No. Variables Codes Definitions
1 Black unemployment rate BUR Annual unemployment rate for
all blacks from the BLS
2 Black male BUM Annual unemployment rate for
unemployment rate all blacks from the
BLS--black males
3 Black female BUF Annual unemployment rate for
all blacks from the
BLS--black females
4 White unemployment rate WUR Annual unemployment rate for
all whites from BLS
5 White male WUM Annual unemployment rate for
unemployment rate all whites from BLS--white
males
6 White female WUF Annual unemployment rate for
unemployment rate all whites from BLS--white
females
7 Black television T Prime-time television
programs programs that feature
blacks in primary or
secondary roles (credited
cast); the programs are
listed in Brooks and Marsh
(2003)
8 Black drug-related BDA Black drug-related arrests
arrests from the FBI's Uniform
Crime Reports
9 Black male drug-related BDAM Black drug-related arrests
arrests from the FBI's Uniform
Crime Reports--black
males
10 Black female BDAF Black drug-related arrests
drug-related arrests from the FBI's Uniform
Crime Reports--black
females
11 Black HIV/AIDS cases BAC Black HIV/AIDS cases from
the Center for Disease
Control
12 Top 25 Rap Singles on HH The number of Billboard's
Billboard's Top 100 Top 25 Rap Singles that
are in Billboard's Top 100
13 Unauthorized immigrant M Arrivals of unauthorized
flows into the United immigrants into the
States United States estimated
from Census Bureau data
14 Real GDP GDP Real GDP from the Bureau of
Economic Analysis
15 Black work experience BEXP Percent of black population
indicator more than 15 yr that exceed
25 yr from the Census
Bureau's Current
Population Survey
16 Black male work BEXPM Percent of black population
experience indicator more than 15 yr that
exceed 25 yr from the
Census Bureau's Current
Population Survey--black
males
17 Black female work BEXPF Percent of black population
experience indicator more than 15 yr that
exceed 25 yr from the
Census Bureau's Current
Population Survey--black
females
18 White work experience WEXP Percent of white population
indicator more than 15 yr that
exceed 25 yr from the
Census Bureau's Current
Population Survey
19 White male work WEXPM Percent of white population
experience indicator more than 15 yr that exceed
25 yr from the Census
Bureau's Current
Population Survey--white
males
20 White female work WEXPF Percent of white population
experience indicator more than 15 yr that
exceed 25 yr from the
Census Bureau's Current
Population Survey--white
females
21 Black average years of BAYS Black average years of
schooling schooling from the Census
Bureau's Current Population
Survey
22 Black male average years BAYSM Black average years of
of schooling schooling from the Census
Bureau's Current Population
Survey--black males
23 Black female average BAYSF Black average years of
years of schooling schooling from the Census
Bureau's Current
Population Survey--black
females
24 White average years of WAYS White average years of
schooling schooling from the Census
Bureau's Current
Population Survey
25 White male average years WAYSM White average years of
of schooling schooling from the Census
Bureau's Current
Population Survey--white
males
26 White female average WAYSF White average years of
years of schooling schooling from the Census
Bureau's Current
Population Survey--white
females
27 Interaction term (black T x GDP Derived from Variables 7 and
television programs x 14
real GDP)
28 Time trend TR A variable that assumes the
value from 1 to 31
29 Total black arrests TBA Total black arrests from the
FBI's Uniform Crime
Reports
30 Total black male arrests TBAM Total black arrests from the
FBI's Uniform Crime
Reports--black males
31 Total black female TBAF Total black arrests from the
arrests FBI's Uniform Crime
Reports--black females
32 Television index of TIND See Appendix A
adverse images of
blacks
33 White annual average WI Average income for white
income families from Census
Bureau Historical Tables
34 Black annual average BI Average income for black
income families from Census
Bureau Historical Tables
Notes. BLS = Bureau of Labor Statistics; FBI = Federal Bureau of
Investigation.
TABLE 2
Variables and Expected Signs for Related Coefficients
No. Variables Model 1
1 [DELTA] Black television programs +
2 [DELTA] Black drug-related arrests +
3 [DELTA] Black drug-related arrests (mates)
4 [DELTA] Black drug-related arrests (females)
5 [DELTA] Drug-related HIV/AIDS cases +
6 [DELTA] Top 25 Rap Singles on Billboard's Top 100 +
7 [DELTA] Unauthorized immigrant flows into the United +
States
8 [DELTA] Real GDP -
9 [DELTA] T x GDP +
10 Time trend (TR) -
11 [DELTA] Black-white gap: work experience -
12 [DELTA] Black-white gap: average years of schooling -
13 [DELTA] Black-white gap: work experience (males)
14 [DELTA] Black-white gap: average years of schooling
(males)
15 [DELTA] Black-white gap: work experience (females)
16 [DELTA] Black-white gap: average years of schooling
(females)
17 [DELTA] Black work experience indicator
18 [DELTA] Black average years of schooling
19 [DELTA] Black work experience indicator (males)
20 [DELTA] Black average years of schooling (males)
21 [DELTA] Black work experience indicator (females)
22 [DELTA] Black average years of schooling (females)
No. Variables Model 2
1 [DELTA] Black television programs +
2 [DELTA] Black drug-related arrests
3 [DELTA] Black drug-related arrests (mates) +
4 [DELTA] Black drug-related arrests (females)
5 [DELTA] Drug-related HIV/AIDS cases +
6 [DELTA] Top 25 Rap Singles on Billboard's Top 100 +
7 [DELTA] Unauthorized immigrant flows into the United +
States
8 [DELTA] Real GDP -
9 [DELTA] T x GDP +
10 Time trend (TR) -
11 [DELTA] Black-white gap: work experience
12 [DELTA] Black-white gap: average years of schooling
13 [DELTA] Black-white gap: work experience (males) -
14 [DELTA] Black-white gap: average years of schooling -
(males)
15 [DELTA] Black-white gap: work experience (females)
16 [DELTA] Black-white gap: average years of schooling
(females)
17 [DELTA] Black work experience indicator
18 [DELTA] Black average years of schooling
19 [DELTA] Black work experience indicator (males)
20 [DELTA] Black average years of schooling (males)
21 [DELTA] Black work experience indicator (females)
22 [DELTA] Black average years of schooling (females)
No. Variables Model 3
1 [DELTA] Black television programs +
2 [DELTA] Black drug-related arrests
3 [DELTA] Black drug-related arrests (mates)
4 [DELTA] Black drug-related arrests (females) +
5 [DELTA] Drug-related HIV/AIDS cases +
6 [DELTA] Top 25 Rap Singles on Billboard's Top 100 +
7 [DELTA] Unauthorized immigrant flows into the United +
States
8 [DELTA] Real GDP -
9 [DELTA] T x GDP +
10 Time trend (TR) -
11 [DELTA] Black-white gap: work experience
12 [DELTA] Black-white gap: average years of schooling
13 [DELTA] Black-white gap: work experience (males)
14 [DELTA] Black-white gap: average years of schooling
(males)
15 [DELTA] Black-white gap: work experience (females) -
16 [DELTA] Black-white gap: average years of schooling -
(females)
17 [DELTA] Black work experience indicator
18 [DELTA] Black average years of schooling
19 [DELTA] Black work experience indicator (males)
20 [DELTA] Black average years of schooling (males)
21 [DELTA] Black work experience indicator (females)
22 [DELTA] Black average years of schooling (females)
No. Variables Model 4
1 [DELTA] Black television programs +
2 [DELTA] Black drug-related arrests +
3 [DELTA] Black drug-related arrests (mates)
4 [DELTA] Black drug-related arrests (females)
5 [DELTA] Drug-related HIV/AIDS cases +
6 [DELTA] Top 25 Rap Singles on Billboard's Top 100 +
7 [DELTA] Unauthorized immigrant flows into the United +
States
8 [DELTA] Real GDP -
9 [DELTA] T x GDP +
10 Time trend (TR) -
11 [DELTA] Black-white gap: work experience
12 [DELTA] Black-white gap: average years of schooling
13 [DELTA] Black-white gap: work experience (males)
14 [DELTA] Black-white gap: average years of schooling
(males)
15 [DELTA] Black-white gap: work experience (females)
16 [DELTA] Black-white gap: average years of schooling
(females)
17 [DELTA] Black work experience indicator -
18 [DELTA] Black average years of schooling -
19 [DELTA] Black work experience indicator (males)
20 [DELTA] Black average years of schooling (males)
21 [DELTA] Black work experience indicator (females)
22 [DELTA] Black average years of schooling (females)
No. Variables Model 5
1 [DELTA] Black television programs +
2 [DELTA] Black drug-related arrests
3 [DELTA] Black drug-related arrests (mates) +
4 [DELTA] Black drug-related arrests (females)
5 [DELTA] Drug-related HIV/AIDS cases +
6 [DELTA] Top 25 Rap Singles on Billboard's Top 100 +
7 [DELTA] Unauthorized immigrant flows into the United +
States
8 [DELTA] Real GDP -
9 [DELTA] T x GDP +
10 Time trend (TR) -
11 [DELTA] Black-white gap: work experience
12 [DELTA] Black-white gap: average years of schooling
13 [DELTA] Black-white gap: work experience (males)
14 [DELTA] Black-white gap: average years of schooling
(males)
15 [DELTA] Black-white gap: work experience (females)
16 [DELTA] Black-white gap: average years of schooling
(females)
17 [DELTA] Black work experience indicator
18 [DELTA] Black average years of schooling
19 [DELTA] Black work experience indicator (males) -
20 [DELTA] Black average years of schooling (males) -
21 [DELTA] Black work experience indicator (females)
22 [DELTA] Black average years of schooling (females)
No. Variables Model 6
1 [DELTA] Black television programs +
2 [DELTA] Black drug-related arrests
3 [DELTA] Black drug-related arrests (mates)
4 [DELTA] Black drug-related arrests (females) +
5 [DELTA] Drug-related HIV/AIDS cases +
6 [DELTA] Top 25 Rap Singles on Billboard's Top 100 +
7 [DELTA] Unauthorized immigrant flows into the United +
States
8 [DELTA] Real GDP -
9 [DELTA] T x GDP +
10 Time trend (TR) -
11 [DELTA] Black-white gap: work experience
12 [DELTA] Black-white gap: average years of schooling
13 [DELTA] Black-white gap: work experience (males)
14 [DELTA] Black-white gap: average years of schooling
(males)
15 [DELTA] Black-white gap: work experience (females)
16 [DELTA] Black-white gap: average years of schooling
(females)
17 [DELTA] Black work experience indicator
18 [DELTA] Black average years of schooling
19 [DELTA] Black work experience indicator (males)
20 [DELTA] Black average years of schooling (males)
21 [DELTA] Black work experience indicator (females) -
22 [DELTA] Black average years of schooling (females) -
TABLE 3
Black Unemployment, Infotainment, and Cultural Phenomena: Models 1-3
Variables Model 1 Dependent
Variable: [DELTA] (BU--WU)
[DELTA] Black television programs 0.13915 (.000) **
[DELTA] Black drug-related 0.000005 (.025) *
[arrests.sub.t,m,f] (a)
[DELTA] Black HIV/AIDS cases -0.000001 (.963)
[DELTA] Top 25 Rap Singles on -0.00944 (.655)
BillBoard's Top 100
[DELTA] Unauthorized immigrant flows -0.0000009 (.046)*
[DELTA] Real GDP -0.4035 (.000) **
[DELTA] Black-white gap: -1.1858 (.002) *
work [experience.sub.t,m,f] (a)
[DELTA] Black-white gap: average 2.9479 (.001) **
years of [schooling.sub.t,m,f] (a)
Time trend (TR) -0.00840 (.285)
Constant 0.56855 (.001) **
Adjusted [R.sup.2] .7360
Durbin-Watson 2.2458
Estimated standard error 0.38939
N 30
Variables Model 2 Dependent
Variable: [DELTA] (BUM--WUM)
[DELTA] Black television programs 0.15235 (000) **
[DELTA] Black drug-related 0.000007 (.051) ***
[arrests.sub.t,m,f] (a)
[DELTA] Black HIV/AIDS cases -0.00004 (.289)
[DELTA] Top 25 Rap Singles on -0.039522 (.250)
BillBoard's Top 100
[DELTA] Unauthorized immigrant flows 0.0000004 (.519)
[DELTA] Real GDP -0.6756 (.000 )**
[DELTA] Black-white gap: -0.90142 (.056) ***
work [experience.sub.t,m,f] (a)
[DELTA] Black-white gap: average 1.2088 (.181)
years of [schooling.sub.t,m,f] (a)
Time trend (TR) -0.00196 (867)
Constant 1.0950 (.000) **
Adjusted [R.sup.2] .6239
Durbin-Watson 1.8039
Estimated standard error 0.59768
N 30
Variables Model 3 Dependent
Variable: [DELTA] (BUF--WUF)
[DELTA] Black television programs 0.11191 (.002) *
[DELTA] Black drug-related 0.000032 (.065) ***
[arrests.sub.t,m,f] (a)
[DELTA] Black HIV/AIDS cases -0.000026 (.589)
[DELTA] Top 25 Rap Singles on 0.02913 (.340)
BillBoard's Top 100
[DELTA] Unauthorized immigrant flows -0.000002 (.006) *
[DELTA] Real GDP -0.13647 (.154) *
[DELTA] Black-white gap: -0.5574 (.315)
work [experience.sub.t,m,f] (a)
[DELTA] Black-white gap: average 1.6602 (.116)
years of [schooling.sub.t,m,f] (a)
Time trend (TR) -0.0202 (.143)
Constant 0.33848 (.204)
Adjusted [R.sup.2] .5137
Durbin-Watson 1.9812
Estimated standard error 0.52260
N 30
Notes: Data given are linear regression model coefficients and p
values.
(a) The t, m, and f subscripts are for "total," "male," and "female,"
respectively.
* Statistically significant at the 5'% level, ** statistically
significant at the 1%, level; *** statistically significant at
the l0% level.
TABLE 4
Black Unemployment, Infotainment, and Cultural Phenomena: Models 4-6
Model 4 Dependent
Variables Variable: [DELTA] (BU)
[DELTA] Black television programs 0.17255 (.002) *
[DELTA] Black drug-related 0.000005 (.279)
[arrests.sub.t,m,f] (a)
[DELTA] Black HIV/AIDS cases -0.00004 (.554)
[DELTA] Top 25 Rap Singles on -0.08796 (.051) ***
BillBoard's Top 100
[DELTA] Unauthorized immigrant flows -0.0000002 (.814)
[DELTA] Real GDP -1.0799 (.000) **
[DELTA] Black work -0.50284 (.091) ***
[experience.sub.t,m,f] (a)
[DELTA] Black average years of 2.8807 (.126)
[schooling.sub.t,m,f] (a)
Time trend (TR) 0.03190 (.080) ***
Constant 1.6356 (.001) **
Adjusted [R.sup.2] .7107
Durbin-Watson 2.0565
Estimated standard error 0.8531
N 30
Model 5 Dependent
Variables Variable: [DELTA] (BUM)
[DELTA] Black television programs 0.20008 (.003) *
[DELTA] Black drug-related 0.000007 (.260)
[arrests.sub.t,m,f] (a)
[DELTA] Black HIV/AIDS cases -0.00008 (.299)
[DELTA] Top 25 Rap Singles on -0.13526 (.014) *
BillBoard's Top 100
[DELTA] Unauthorized immigrant flows 0.0000009 (.441)
[DELTA] Real GDP -1.610 (.000) **
[DELTA] Black work -0.4905 (.135)
[experience.sub.t,m,f] (a)
[DELTA] Black average years of 0.64334 (.694)
[schooling.sub.t,m,f] (a)
Time trend (TR) 0.04296 (.042) *
Constant 2.4570 (.000) **
Adjusted [R.sup.2] .7062
Durbin-Watson 1.9971
Estimated standard error 1.0388
N 30
Model 6 Dependent
Variables Variable: [DELTA] (BUF)
[DELTA] Black television programs 0.16001 (.001) **
[DELTA] Black drug-related 0.00003 (.155)
[arrests.sub.t,m,f] (a)
[DELTA] Black HIV/AIDS cases -0.00002 (.763)
[DELTA] Top 25 Rap Singles on -0.0233 (.540)
BillBoard's Top 100
[DELTA] Unauthorized immigrant flows -0.0000016 (.067) ***
[DELTA] Real GDP -0.77635 (.000) **
[DELTA] Black work -0.59202 (.054) ***
[experience.sub.t,m,f] (a)
[DELTA] Black average years of 3.8983 (.020) *
[schooling.sub.t,m,f] (a)
Time trend (TR) 0.01018 (.530) *
Constant 1.0017 (.017) *
Adjusted [R.sup.2] .7124
Durbin-Watson 1.9435
Estimated standard error 0.70230
N 30
Notes: Data given are linear regression model coefficients and p
values.
(a) The t, m, and f subscripts are for "total," "male," and
"female," respectively.
* Statistically significant at the 5% level; ** statistically
significant at the 1% level; *** statistically significant
at the 10% level.
TABLE 5 Simultaneous Equation System Results: Models 1-3
Variables Model [1.sub.t] (a)
Equation A: Dependent variable--[DELTA]
[(BU - WU).sub.t,m,f] (a)
([[beta].sub.1]) constant 0.4462 (.020) *
([[beta].sub.2]) [DELTA]GDP -0.38795 (.000) **
([[beta].sub.3]) [DELTA][(BEXP - -0.88069 (.004) *
WEXP).sub.t,m,f] (a)
([[beta].sub.4]) [DELTA][(BDAYS - 2.4836 (.001) **
WAYS).sub.t,m,f] (a)
([[beta].sub.5]) [DELTA][TBA.sub.t,m,f] 0.000001 (.000) **
(a)
([[beta].sub.6]) [DELTA](T x GDP) 0.00116 (.000) **
([[beta].sub.7]) TR -0.00335 (.744)
Equation [R.sup.2] 0.7382
Equation B: Dependent variable--[DELTA][TB
A.sub.t,m,f] (a)
([[gamma].sub.1]) constant 47914 (.532)
([[gamma].sub.2]) [DELTA]TIND -813390 (.007) *
([[gamma].sub.3]) [DELTA]M -0.07467 (.639)
([[gamma].sub.4]) [DELTA][BDA.sub.t,m,f] 4.1690 (.000) **
(a)
([[gamma].sub.5]) [DELTA]BAC 23.609 (.108)
([[gamma].sub.6]) [DELTA]HH 5333.4 (.523)
([[gamma].sub.7]) TR -4557.6 (.262)
Equation [R.sup.2] 0.5333
Equation C: Dependent variable--[DELTA]TIND
([alpha].sub.1]) constant 0.01372 (.795)
([alpha].sub.2]) [DELTA]T -0.076401 (.000) **
([alpha].sub.3]) [DELTA](BI - WI) 0.000008 (.689)
([alpha].sub.4]) [DELTA](T x GDP) 0.00078 (.003) *
([alpha].sub.5]) TR -0.00232 (.494)
Equation [R.sup.2] .3252
System [R.sup.2] .9078
N 30
Tests of overall significance: chi square 71,509 (.0000)
with 16 df (p)
Variables Model [2.sub.m] (a)
Equation A: Dependent variable--[DELTA]
[(BU - WU).sub.t,m,f] (a)
([[beta].sub.1]) constant 0.79173 (.009) *
([[beta].sub.2]) [DELTA]GDP -0.48018 (.000) **
([[beta].sub.3]) [DELTA][(BEXP - -0.25518 (.525)
WEXP).sub.t,m,f] (a)
([[beta].sub.4]) [DELTA][(BDAYS - 1.9727 (.081) ***
WAYS).sub.t,m,f] (a)
([[beta].sub.5]) [DELTA][TBA.sub.t,m,f] 0.0000006 (.417)
(a)
([[beta].sub.6]) [DELTA](T x GDP) 0.00109 (.011) *
([[beta].sub.7]) TR -0.0089 (.577)
Equation [R.sup.2] 0.6007
Equation B: Dependent variable--[DELTA][TB
A.sub.t,m,f] (a)
([[gamma].sub.1]) constant 42510 (.491)
([[gamma].sub.2]) [DELTA]TIND -681080 (.006) *
([[gamma].sub.3]) [DELTA]M -0.06120 (.656)
([[gamma].sub.4]) [DELTA][BDA.sub.t,m,f] 3.7228 (.000) **
(a)
([[gamma].sub.5]) [DELTA]BAC 18.048 (.164)
([[gamma].sub.6]) [DELTA]HH 3252.8 (.660)
([[gamma].sub.7]) TR -3983.3 (.219)
Equation [R.sup.2] 0.5327
Equation C: Dependent variable--[DELTA]TIND
([alpha].sub.1]) constant 0.020496 (.693)
([alpha].sub.2]) [DELTA]T -0.07741 (.000) **
([alpha].sub.3]) [DELTA](BI - WI) 0.00002 (.358)
([alpha].sub.4]) [DELTA](T x GDP) 0.00082 (.004) *
([alpha].sub.5]) TR -0.0030 (.389)
Equation [R.sup.2] .3501
System [R.sup.2] .8615
N 30
Tests of overall significance: chi square 59.307 (.0000)
with 16 df (p)
Variables Model [3.sub.f] (a)
Equation A: Dependent variable--[DELTA]
[(BU - WU).sub.t,m,f] (a)
([[beta].sub.1]) constant 0.40985 (.109)
([[beta].sub.2]) [DELTA]GDP -0.22697 (.004) *
([[beta].sub.3]) [DELTA][(BEXP - -0.4342 (.345)
WEXP).sub.t,m,f] (a)
([[beta].sub.4]) [DELTA][(BDAYS - 0.01528 (.990)
WAYS).sub.t,m,f] (a)
([[beta].sub.5]) [DELTA][TBA.sub.t,m,f] 0.000008 (.001) **
(a)
([[beta].sub.6]) [DELTA](T x GDP) 0.00095 (.012) *
([[beta].sub.7]) TR -0.01339 (.317)
Equation [R.sup.2] 0.5054
Equation B: Dependent variable--[DELTA][TB
A.sub.t,m,f] (a)
([[gamma].sub.1]) constant 12973 (.308)
([[gamma].sub.2]) [DELTA]TIND -101030 (.057) ***
([[gamma].sub.3]) [DELTA]M -0.0260 (.389)
([[gamma].sub.4]) [DELTA][BDA.sub.t,m,f] 4.2019 (.000) **
(a)
([[gamma].sub.5]) [DELTA]BAC 5.0077 (.074)
([[gamma].sub.6]) [DELTA]HH 1473.5 (.361)
([[gamma].sub.7]) TR -764.25 (.256)
Equation [R.sup.2] 0.606
Equation C: Dependent variable--[DELTA]TIND
([alpha].sub.1]) constant 0.02668 (.606)
([alpha].sub.2]) [DELTA]T -0.077623 (.000) **
([alpha].sub.3]) [DELTA](BI - WI) 0.00004 (.081)
([alpha].sub.4]) [DELTA](T x GDP) 0.000834 (.003)*
([alpha].sub.5]) TR -0.0033 (.333)
Equation [R.sup.2] .3606
System [R.sup.2] .8235
N 30
Tests of overall significance: chi square 52,027 (.0000)
with 16 df (p)
Notes. Data given are estimated parameter and p values.
(a) The t, m, and f subscripts are for "total," "male," and
"female," respectively.
* Statistically significant at the 5% level; ** statistically
significant at the 1% level; *** statistically significant at
the 10% level.
TABLE 6 Simultaneous Equation System Results: Models 4-6
Variables Model [4.sub.t] (a)
Equation A: Dependent variable--[DELTA]
B[U.sub.t,m,f] (a)
([[beta].sub.1]) constant 1.2610 (.005) *
([[beta].sub.2]) [DELTA]GDP -1.0414 (.000) **
([[beta].sub.3]) [DELTA][BEXP.sub.t,m,f] -0.39739 (.125)
(a)
([[beta].sub.4]) [DELTA][BAYS.sub.t,m,f] 3.3817 (.043) *
(a)
([[beta].sub.5]) [DELTA][TBA.sub.t,m,f] 0.000001 (.081) ***
(a)
([[beta].sub.6]) [DELTA](T x GDP) 0.00153 (.003) *
([[beta].sub.7]) TR 0.0226 (.263)
Equation [R.sup.2] 0.7697
Equation B: Dependent variable--[DELTA][TB
A.sub.t,m,f] (a)
([[gamma].sub.1]) constant 56824 (.437)
([[gamma].sub.2]) [DELTA]TIND -762400 (.003) *
([[gamma].sub.3]) [DELTA]M -0.09645 (.561)
([[gamma].sub.4]) [DELTA][BDA.sub.t,m,f] 3.7633 (.000) **
(a)
([[gamma].sub.5]) [DELTA]BAC 23.265 (.131)
([[gamma].sub.6]) [DELTA]HH 5640 (.522)
([[gamma].sub.7]) TR -4831 (.209)
Equation [R.sup.2] 0.5573
Equation C: Dependent variable--[DELTA]TIND
([alpha].sub.1]) constant 0.0209 (.687)
([alpha].sub.2]) [DELTA]T -0.07714 (.000) **
([alpha].sub.3]) [DELTA](BI - WI) 0.00002 (.327)
([alpha].sub.4]) [DELTA](T x GDP) 0.00082 (.004) *
([alpha].sub.5]) TR 0.00297 (.389)
Equation [R.sup.2] 0.3519
System [R.sup.2] 0.9257
N 30
Tests of overall significance: chi square 77.986 (.0000)
with 16 df (p)
Variables Model [5.sub.m] (a)
Equation A: Dependent variable--[DELTA]
B[U.sub.t,m,f] (a)
([[beta].sub.1]) constant 1.7048 (.002) *
([[beta].sub.2]) [DELTA]GDP -1.2285 (.000) **
([[beta].sub.3]) [DELTA][BEXP.sub.t,m,f] -0.16982 (.530)
(a)
([[beta].sub.4]) [DELTA][BAYS.sub.t,m,f] 2.3274 (.219)
(a)
([[beta].sub.5]) [DELTA][TBA.sub.t,m,f] 0.0000005 (.625)
(a)
([[beta].sub.6]) [DELTA](T x GDP) 0.001563 (.025) *
([[beta].sub.7]) TR 0.0225 (.391)
Equation [R.sup.2] 0.7225
Equation B: Dependent variable--[DELTA][TB
A.sub.t,m,f] (a)
([[gamma].sub.1]) constant 44343 (.465)
([[gamma].sub.2]) [DELTA]TIND -617450 (.004) *
([[gamma].sub.3]) [DELTA]M -0.07958 (.562)
([[gamma].sub.4]) [DELTA][BDA.sub.t,m,f] 3.679 (.000) **
(a)
([[gamma].sub.5]) [DELTA]BAC 18.627 (.143)
([[gamma].sub.6]) [DELTA]HH 4169.5 (.566)
([[gamma].sub.7]) TR -4107.6 (.198)
Equation [R.sup.2] 0.5527
Equation C: Dependent variable--[DELTA]TIND
([alpha].sub.1]) constant 0.02154 (.678)
([alpha].sub.2]) [DELTA]T 0.07775 (.000) **
([alpha].sub.3]) [DELTA](BI - WI) 0.00002 (.310)
([alpha].sub.4]) [DELTA](T x GDP) 0.000825 (.004) *
([alpha].sub.5]) TR 0.00305 (.378)
Equation [R.sup.2] 0.3529
System [R.sup.2] 0.9096
N 30
Tests of overall significance: chi square 72.099 (.0000)
with 16 df (p)
Variables Model [6.sub.f] (a)
Equation A: Dependent variable--[DELTA]
B[U.sub.t,m,f] (a)
([[beta].sub.1]) constant 1.1389 (.001) **
([[beta].sub.2]) [DELTA]GDP -0.8552 (.000) **
([[beta].sub.3]) [DELTA][BEXP.sub.t,m,f] -0.9030 (.000) **
(a)
([[beta].sub.4]) [DELTA][BAYS.sub.t,m,f] 3.2429 (.006) *
(a)
([[beta].sub.5]) [DELTA][TBA.sub.t,m,f] 0.000009 (.000) **
(a)
([[beta].sub.6]) [DELTA](T x GDP) 0.001685 (.000) **
([[beta].sub.7]) TR 0.01028 (.539)
Equation [R.sup.2] 0.7312
Equation B: Dependent variable--[DELTA][TB
A.sub.t,m,f] (a)
([[gamma].sub.1]) constant 13423 (.297)
([[gamma].sub.2]) [DELTA]TIND -130120 (.006) *
([[gamma].sub.3]) [DELTA]M -0.0279 (.353)
([[gamma].sub.4]) [DELTA][BDA.sub.t,m,f] 4.1183 (.000) **
(a)
([[gamma].sub.5]) [DELTA]BAC 4.5043 (.104)
([[gamma].sub.6]) [DELTA]HH 1254.2 (.433)
([[gamma].sub.7]) TR -744.11 (.272)
Equation [R.sup.2] 0.582
Equation C: Dependent variable--[DELTA]TIND
([alpha].sub.1]) constant 0.0294 (.569)
([alpha].sub.2]) [DELTA]T 0.08509 (.000) **
([alpha].sub.3]) [DELTA](BI - WI) 0.00003 (.096) ***
([alpha].sub.4]) [DELTA](T x GDP) 0.00094 (.001) **
([alpha].sub.5]) TR -0.0039 (.253)
Equation [R.sup.2] 0.3552
System [R.sup.2] 0.9325
N 30
Tests of overall significance: chi square 80.877 (.0000)
with 16 df (p)
Notes: Data given are estimated parameter and p values.
(a) The t, m, and f subscripts are for "total," "male," and
female, respectively.
* Statistically significant at the 5%, level; ** statistically
significant at the 1% level; *** statistically significant at
the 10% level.