Stock ownership and congressional elections: the political economy of the mutual fund revolution.
Duca, John V. ; Saving, Jason L.
I. INTRODUCTION
In recent years, political analysts have conjectured that voting
has been affected by the rise of an investor class in the United States,
where the stock ownership rate has doubled from under 25% in the late
1970s to over 50% by 2001. (1) This shift in portfolio behavior has
accompanied an upward shift in the two-party share of the House popular
vote for candidates from the more capital-friendly Republican Party
(Figure 1).
While the notion that property interests affect voting is an old
and intuitive one, empirical tests of the effect of stock ownership on
voting have been hampered by the lack of continuous time series data on
stock ownership. Fortunately, continuous data on equity mutual fund
costs are available from Duca (2006) that are highly and negatively
correlated with discontinuous stock ownership rates as shown by Duca
(2001, 2005). In line with research on factors affecting stock ownership
by Aiyagari and Gertler (1991) and Heaton and Lucas (2000), we argue
that mutual fund costs are a good proxy for stock ownership rates and
use them in short- and long-run models of the two-party share of the
popular vote for Congressional Republican candidates that use data
spanning 1954-2004.
We analyze the link with congressional voting because the shorter
cycle of races allows for more degrees of freedom than presidential
races, and we focus on House rather than Senate elections, the latter of
which cover only one-third of that body and are not geographically
balanced. Also, relative to presidential elections and Senate elections,
the larger number of House races in national vote totals and the lower
profile of individual representatives limit the impact of personality on
elections, perhaps allowing for a cleaner test of the role of property
interests. We focus on the national share of the popular vote rather
than on the number of House seats because the latter is influenced by
the design of House districts, which is subject to political
gerrymandering.
[FIGURE 1 OMITTED]
We test whether the rise in the Republican share of the House
popular vote from around 44% to 50% since the late 1980s is linked to
wider stock ownership. Our findings accord with the view that the mutual
fund revolution has contributed to a shift in voting. In particular, our
results suggest the Republican share of the House popular vote will
likely fluctuate around 50% until other factors trigger a political
realignment.
Our study is organized as follows. Section II reviews the history
of the debate over linking voting rights with property ownership in the
United States and the literature on how stock ownership rates could
affect voting. Section III empirically tests whether there is a long-run
relationship between the House popular vote and stock ownership. Section
IV addresses whether property interests, as reflected in this long-run
relationship, help explain short-run changes in voting in the presence
of more conventional short-run variables (e.g., midterm elections). To
assess whether these findings are robust, Section V similarly analyzes
the House vote in the South, where there has been a long-run shift
toward the Republican Party. Section VI analyzes the popular vote shares
in Senate elections. Although the latter is noisier than the House
series and is not from a geographically balanced electorate unlike House
races, applying the methodology to the Senate provides a robustness
check on the House results. Section VII summarizes our findings and
discusses their implications for future research.
II. VOTING AND PROPERTY OWNERSHIP IN U.S. HISTORY
The idea that asset ownership could affect voting is an old one in
the United States and was much discussed at the 1787 constitutional
convention. George Mason proposed that owning land be required for
Senators because the chamber was intended "to secure the rights of
property," which presumably could not be guaranteed if Senators did
not own property (Madison 1987, 200). Pennsylvania delegate Gouverneur
Morris argued that wealthy states ought to receive more House seats than
poorer ones because citizens of wealthy states would be more likely to
protect the assets of the propertied (Madison 1987, 244). This led South
Carolina delegates John Rutledge and Pierce Butler to propose that House
seats be apportioned by wealth and population. However, disputes over
how to measure wealth (by federal taxes or land values), dedication to
private property (ownership of land vs. general assets), and applying
economic values to slaves convinced most delegates that apportioning the
House by wealth was impractical.
The most important debate (from our perspective) was over suffrage.
Gouverneur Morris proposed limiting the right to vote in federal
elections to landowners (Madison 1987, 401). John Dickinson of Delaware supported this as "a necessary defense against the dangerous
influence of those multitudes without property and without
principle" (Madison 1987, 402). Madison (1987, 403) noted that
landowners are the "safest depositories of Republican
liberty," because only they can safeguard "the rights of
property and the public liberty" but nevertheless argued against
Morris, believing that limiting voting rights would lay the groundwork
for dictatorship.
While many of the American republic's founders feared the
prospect of rule by the general populace, Karl Marx welcomed it.
Recognizing that workers with no hope of advancement and no prospect of
wealth ownership had literally "nothing to lose but their
chains," Marx (1977) theorized in his classic work, Capital, that
the masses would inevitably confiscate the assets of the rich and
establish an egalitarian society. What Marx never anticipated was that
common individuals would gain the ability to become owners. The last
decade of the 20th century featured the largest rise in stock ownership
the United States has seen, and greater stock ownership has shaped many
middle-class Americans into what many observers, such as Kudlow (1997),
have called an "investor class." Kennickell, Starr-McCluer,
and Surette (2000) found that Americans' net worth grew strongly
during the 1990s with "a continued rise in the holding of stock
equity ... account[ing] for a substantial part of the rise in net
worth." This rise was "broadly shared by different demographic
groups," with the biggest percentage point increases in ownership
occurring in the middle quintiles of the income distribution.
Policies favoring capital formation and accumulation have gained
popularity. "Thinking like the shareholders and business owners
that they are," writes Glassman (2000), "members of the
investor class want low taxes on capital, low taxes on individual and
corporate income, light regulation of business and limits on
litigation." And polls suggest that stock ownership induces
middle-income Americans to support procapital policies like lower
capital gains and estate taxes as Nadler (1999) and Gigot (1999) note.
In a basic two-party median voter framework such as Downs (1957), a
change in the electorate would not affect the fortunes of either
political party because the parties would adjust their platforms to
match median voter preferences. Gross (2000) argued that the Democratic
Party has adjusted by increasingly accommodating the views of "New
Democrats," who combine social liberalism with
moderate-to-conservative economic views. But for many reasons, including
primary elections and ideological conviction, a complete convergence of
party platforms to the views of the median voter may not occur as
discussed in Mueller (2003). Simply put, neither a party nor its
supporters are willing to entirely shed the principles that motivate
them to seek power, whether those principles protect the poor or reward
the rich--even at some added risk of losing elections. Thus, the
traditional gap between the two major parties on wealth issues could
plausibly persist, implying that owning stocks raises the likelihood of
voting for the Republican Party that has traditionally pursued
capital-friendly policies as Faucheux (1999) maintained.
III. STOCK OWNERSHIP AND HOUSE ELECTIONS IN THE LONG RUN
Although continuous stock ownership rates are unavailable,
continuous data on equity mutual fund costs from Duca (2006) are a good
proxy for stock ownership, having a strong, negative correlation (-0.96)
with stock ownership rates (Figure 2), where equity fund costs (MFCOST,
Appendix A) equal the annual expense ratio plus the annualized, average
cost of front-end and back-end commission fees (loads) for mutual fund
investments over 5 yr following Duca (2005, 2006). (2,3) We assess the
time series relationship between stock ownership rates and voting
behavior by using equity mutual fund costs as a proxy for unavailable
continuous stock ownership rates. This section first discusses the link
between the share of households owning stock and the mutual fund costs
and then focuses on testing the long-run relationship between equity
fund costs and voting.
[FIGURE 2 OMITTED]
A. Why Equity Mutual Fund Costs Are a Good Proxy for Stock
Ownership Rates
There are good arguments for using equity mutual fund costs to
proxy for stock ownership rates because higher equity participation has
been associated with declines in the cost of investing in equity mutual
funds, consistent with recent research on stock investing by Guiso,
Haliassios, and Jappelli (2003), Heaton and Lucas (2000), and Siegel
(1999) and on mutual fund costs by Duca (2000, 2001, 2005, 2006). In
particular, Heaton and Lucas (2000) analyzed why stock ownership was
lower than implied by conventional theory given a high equity premium.
In their optimization model and that of Vissing-Jorgensen (2002),
transaction costs and nondiversifiable labor market risk deter
middle-income families from owning stocks despite a high equity premium.
As a result, transaction costs can have larger portfolio effects than in
conventional models, and higher mutual fund fees before the early 1980s
may explain the lower stock ownership rates of that era. In this
calibration model, lower transaction costs can induce higher equity
participation, especially among low- to middle-income families,
consistent with Dixit (1989), and a greater rise in stock ownership
rates in the 1990s among these families than among high-income families,
as noted by Duca (2006) and Kennickell, Starr-McCluer, and Surette
(2000).
Owing to limited wealth, many families are more apt to acquire a
diversified stock portfolio by buying mutual funds rather than directly
buying stocks. For such families, the relevant transaction costs for
investing in stocks are mutual fund fees, and if these lees fall, stock
ownership rates should rise. Figure 2 shows that the rise in ownership
mostly owes to greater indirect ownership, which is even more negatively
correlated with annual equity fund costs (correlation of -0.98) than is
overall ownership (correlation of -0.96) over commonly available years
(1969-2004). Furthermore, other data show that the rise of indirect
ownership primarily occurred through increased mutual fund ownership.
The much higher fees of the 1970s and early 1980s may thus account for
the low, pre-1990 stock ownership rates that were analyzed by Aiyagari
and Gertler (1991) and others.
Using three decades of data, Duca (2005) found that lower mutual
fund costs and greater confidence boosted the percent of stocks owned by
families via mutual funds. He argued that lower fund fees could induce
greater reliance on mutual funds by spurring some shareholders to shift
assets from stock shares to mutual funds and by inducing some households
to become shareholders. In addition, Duca (2005) found evidence linking
mutual fund costs with technology. In particular, he showed that the
measure of mutual fund costs used here is cointegrated with and
negatively related to productivity in commercial banking, the only
financial sector for which a long time series of productivity estimates
exists. Together, recent calibration models and evidence on household
portfolio behavior suggest that falling mutual fund costs have boosted
equity ownership rates.
[FIGURE 3 OMITTED]
The positive correlation between stock ownership rates and the
Republican share of the House vote and the negative one between stock
ownership and equity fund costs imply a negative relationship between
the Republican vote share and the equity fund costs. Indeed, a downtrend in equity fund costs has coincided with of slightly led an up-trend in
the Republican House vote share since the late 1980s (Figure 3). Other
data suggest a link between stock investors and voting. For example,
much of the voter shift toward Republicans has occurred among the middle
class, who have posted the largest rises in stock ownership rates since
the late 1980s. Nadler (1999), Rasmussen Research (2000), and Zogby
International (2000) noted polls showing a strong link between stock
ownership and voting. (4)
Nevertheless, some changes in the vote share in Figure 4 likely
stem from short-run factors such as midterm elections, income growth
swings, and presidential approval. We analyze how such factors affect
changes in the vote share along with information from the long-run link
between equity fund costs and the House popular vote share.
[FIGURE 4 OMITTED]
B. Empirical Approach to Testing for Long-Run Relationships
Cointegration techniques are used given evidence of a unit root in
key long-run variables. The Republican share of the House popular vote
has a unit root according to augmented Dickey-Fuller (ADF) tests,
whether or not the tests allow for a deterministic time trend in this
variable, while stock mutual fund costs exhibit a unit root allowing for
a time trend (Table 1). (5) We use the Johansen-Juselius approach rather
than the dynamic ordinary least squares approach due to the upward shift
in Republican share near the end of our 1954-2004 sample, which starts
when revised expense ratios on mutual funds became available.
These tests reflect two considerations. First, we focus on results
not allowing for deterministic time trends in the variables because
allowing for a trend in the vote share implicitly allows the variance of
this variable to increase without bound. Such an assumption would be at
odds with the 0% and 100% share range of this variable and the
implications of median voter theory that the parties be competitive with
one another. Nevertheless, qualitatively and quantitatively similar
results for the House popular vote are obtained, allowing for possible
deterministic trends in the variables (Appendix Table A1). A second
consideration is that since the sample has 26 elections, vote
fluctuations from short-run factors may affect long-run coefficient estimates. Accordingly, we use vector error correction models (VECMs) to
jointly estimate the long-run relationship in a cointegrating vector and
short-run effects in first-difference equations, respectively:
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]
where the lags of first-difference endogenous variables minimize
the Akaike information criterion (AIC), X is a vector of exogenous factors, [[epsilon].sub.it] are residuals, and the [[lambda].sub.i],
[[gamma].sub.i] and [[delta].sub.i] are row vectors of coefficients.
The sets of exogenous, short-run factors include variables tracking
the impact of midterm elections, income growth, the Watergate scandal,
presidential approval, and the Gingrich revolution of 1994. To control
for the short-run impact of midterm election shifts away from the party
in the White House, MIDTERM equals 0 in presidential elections but in
midterm elections, equals 1 under Republican presidents and -1 under
Democratic presidents. According to conventional wisdom and past
studies, MIDTERM should have a negative coefficient. As Tufte (1975)
noted, the president's party almost always loses House seats.
Campbell (1966) discussed the "surge and decline" explanation
for midterm election effects, under which victorious presidents boost
the popularity of their party in on-year elections but not in off-year
elections when they are not on the ballot. Erikson (1988) argued that
there also is a "presidential penalty" effect under which the
electorate punishes the president's party regardless of his
performance, perhaps because citizens are less likely to vote in
off-year elections unless they wish to voice disapproval of the
president as noted by Kernell (1977) and Lau (1985).
We also consider short-term economic factors, whose impact on
voting has been shown by Peltzman (1990). In a seminal paper, Kramer
(1971) found that real disposable income growth, when adjusted for the
party of the president, was significantly correlated with the Republican
share of the House vote. However, Kramer's disposable income and
vote share variables have unit roots. When we tested whether they are
cointegrated, cointegration was rejected in most cases, with the
exceptions indicating a counterintuitive relationship between real
income growth and the House vote. Instead, we include a stationary term
for the first difference of a variable interacting a variable equaling 1
for Republican presidents and -1 for Democrats with real disposable, per
capita income growth in an election year on a third-quarter basis
(REALINCOME). (6)
Although earlier studies, such as Conway and Wyckoff (1980) and
McLeod, Brown, and Becker (1977), usually do not find a Watergate effect, we test WATERGATE (which equals 1 in 1974 and 0 otherwise) in
case an effect emerges in a longer sample. Other short-run variables
include controls for the "Gingrich revolution" (GINGRICH
equals 1 in 1994 and 0 otherwise) and presidential approval
(PRESAPPROVAL). Based on Campbell (1997), the latter equals the log of
the percent of Americans approving of a Republican president in the last
Gallup Poll before each House election or the log of 100 minus the
percent approving of a Democratic president. (7) Objections to these
variables are that they are defined after the fact and may introduce
simultaneity bias because they are not purely exogenous. In particular,
they may reflect that Republicans ran a better national campaign in 1994
or when their presidential candidate ran a better campaign. Some models
omit these variables partly out of this concern and partly as a
robustness check. (8)
C. Are Stock Fund Costs and House Elections Related in the Long
Run?
Table 1 reports cointegration tests using different sets of
short-run factors in VECMs with data over 1954-2004. Since researchers
may differ over which short-run variables to include, we present results
from VECMs that include three plausible sets of short-run factors as
well as one omitting them. (Table 2 presents results for the first
difference of vote share from VECMs and conventional models.) One set
includes MIDTERM and REALINCOME, to which a second adds WATERGATE and a
third also adds GINGRICH and PRESAPPROVAL. As only MIDTERM,
PRESAPPROVAL, and REALINCOME are the only significant short-run factors
in that set, another set includes just these three extra variables. In
three cases, a lag length of 3 on first-difference Y terms minimizes the
AIC, while a lag length of 1 does so for third model.
Test statistics indicate the existence of only one significant
cointegrating vector in each case, as the eigenvalue and trace
statistics reject the null hypothesis of no significant long-run
relationship exists between the stock fund costs and the Republican vote
share. In line with unit root test results, there is no evidence that
two or more cointegrating vectors exist (which would imply that each
variable is stationary). In each case, stock fund costs have significant
and negative coefficients on equity fund costs ranging from -0.24 to
-0.34. Ordinary least square (OLS) regressions of the log-level vote
share on log-level mutual fund costs yielded similar and statistically
significant coefficients using similar sets except for using the
non-first differenced version of REALINCOME and a dummy for the advent
of 401(k) plans (table available upon request). Also encouraging is that
the vectors imply similar estimates if the VECMs are estimated allowing
for possible deterministic time trends in the long-run variables. For
example, in the presence of MIDTERM and REALINCOME, the baseline and
deterministic trend equilibrium levels are, respectively,
ln(REPVOTE) = 4.023977 - 0.275105 x ln(MFCOST), (Vector 5, Table 1)
and
ln(REPVOTE) = 3.998250 - 0.266393 x ln(MFCOST), (Vector 5, Table
A1).
As shown in Figure 4, the equilibrium values from both vectors
track the long-run movements in the Republican share of the House
popular vote (in logs) over 1954-2004.
IV. STOCK OWNERSHIP AND HOUSE ELECTIONS IN THE SHORT RUN
To see if long-run relationships help explain short-run movements
in the House popular vote, we examine short-run changes in the
Republican popular vote share from using the same set of VECMs used to
estimate long-run relationships and compare these findings with results
from OLS "conventional" models of the first difference of the
log of Republican vote share using the same corresponding sets of
short-run variables.
D. A Conventional Model of the Change in the House Popular Vote
Table 2 reports eight models of the percent change in the
Republican share of the House popular vote. Models 1-4 are conventional
models containing conventional short-run variables but omit an error
correction term for shifts in stock ownership rates via mutual fund
costs. These models are estimated using OLS since all the variables in
them are stationary according to unit root tests (not shown). However,
since the log levels of the Republican vote share and the stock
ownership proxy are cointegrated, omitting an error correction term
renders the conventional models misspecified.
Each conventional model includes a constant and three lags of the
change in the Republican vote share to mirror the inclusion of these
lags in the VECMs, which limits the sample to 1962-2004. To the baseline
model 1--corresponding to Model 5 in Table 2--Model 2 adds MIDTERM and
REALINCOME, corresponding to Model 6. In addition to the Model 2
variables, Model 3 includes the WATERGATE, GINGRICH, and PRESAPPROVAL.
Finally, Model 4 adds just MIDTERM, REALINCOME, and PRESAPPROVAL to the
baseline to correspond to the last VECM (Model 8) in Table 2.
E. Results from Estimating Models of the Change in the House
Popular Vote
Several patterns emerge across the conventional models. First, the
midterm effect is significant and negative, consistent with Campbell
(1997). Second, presidential approval is significant with the expected
positive sign. Third, the Gingrich variable is positive but
statistically insignificant. Fourth, the Watergate coefficient is
negative and is only marginally significant, which may reflect two
difficulties in detecting a Watergate effect. First, the economy
weakened between 1972 and 1974 during the first OPEC oil shock and
perhaps partly because the scandal weakened confidence. Indeed, as
Kiewiet (1983) noted, real per capita income fell by an unusually large
2% and the share of voters concerned about the economy (especially
inflation) doubled. Consistent with this view, REALINCOME loses
statistical significance when WATERGATE is present (Models 2 vs. 3).
Another difficulty in identifying a Watergate effect is that the first
congressional election (1974) after the scandal was a midterm election
with a Republican president. (9)
A fifth notable pattern across the models is that the lagged change
in Republican vote share is negative but insignificant. This finding may
reflect a weak tendency for the unusual success or failure in a prior
election to unwind in the next election. Finally, these models explain
between 20% and 83% of the variance in vote share changes, with the
range rising to between 64% and 83% when some short-run variables are
present.
In the presence of cointegration, proper specification requires
including an error correction term. Accordingly, Models 5-8 include
error correction terms testing for the impact of stock ownership on
short-run voting. In each case, [EC.sub.t-1] equals the gap between the
actual House vote and the equilibrium share implied by equity fund costs
from the corresponding VECM in Table 1. When the actual share exceeds
the equilibrium share in the prior election, long-run equilibrium
implies a tendency for the vote share to fall in the current election
and thus a negatively signed coefficient on [EC.sub.t-1].
Models 5-8 contain sets of short-run variables corresponding to
Models l-4. In each model, the error correction term is negative and
highly statistically significant, implying that the Republican vote
share tends to fall when actual exceeds the equilibrium share in the
prior election, where the latter is decreasing in equity fund costs. In
the absence of conventional short-run variables, the error correction
term exceeds 1 (177%), which likely indirectly reflects a tendency for
midterm election and other conventional short-run effects to reverse in
subsequent elections. Indeed, the error correction coefficients are more
reasonable in Models 6-8, implying that 73%-103% of the prior
election's gap between the actual and the equilibrium vote shares
is unwound. In these VECMs, the lagged changes in equity fund costs,
which are included to pick up any short-run dynamic effects, are
insignificant, while the lagged dependent variable is significant in
only one model. Results are similar when the VECMs are estimated under
an assumption allowing for time trends (see Appendix Table A2).
There are several notable patterns across the error correction
models pertaining to the short-run, conventional variables. First,
presidential approval, PRESAPPROVAL, is very significant and positive.
Second, coefficients on MIDTERM are negative and statistically
significant, ranging from -0.0565 to -0.0646. Because the Republican
share is near 50%, this implies a midterm effect of about 3 percentage
points. (10) Third, GINGRICH is positive but insignificant as before.
Fourth, the Watergate coefficient is negative but insignificant, whereas
it is marginally significant in the conventional model. Another small
difference is that the coefficients on REALINCOME and PRESAPPROVAL are
estimated with smaller standard errors in VECMs, which may reflect that
they are easier to identify in a better specified model. After all,
omitting an error correction term omits valuable information and is a
form of misspecification. Finally, estimates indicate that the
Republican vote share rises (falls) by about 0.09% for each log
percentage point in the approval rating of a Republican (Democratic)
president, which is qualitatively consistent with Campbell's
evidence of a presidential election effect on House races. (11)
Nevertheless, because of the potential for simultaneity bias, results
regarding PRESAPPROVAL should be cautiously interpreted.
Another difference across the two groups of models is the better
fit of corresponding mutual fund models, reflecting the statistical
significance of the error correction terms. Indeed, the corrected
[R.sup.2]s from the mutual fund models are higher by .31 comparing
Models 1 and 5,. 16 comparing Models 2 and 6, .11 comparing Models 3 and
7, and .12 comparing Models 4 and 8. Of models including some
conventional variables (Models 2-4 and Models 6-8), information from
mutual fund costs helps explain 11%-16% more variation in how the vote
share changed from one election to the next, implying that our proxy for
stock ownership is both statistically and economically significant.
Another sign that the mutual fund models are better specified is that
they have well-behaved residuals according to LM and Q statistics,
unlike the conventional models which omit the statistically significant
and substantive error correction terms.
To illustrate the information added by the stock ownership proxy,
estimates from two sets of corresponding models are plotted with actual
outcomes. Of the models containing midterm and income variables (Models
2 and 6), the error correction model (Model 6) tracks voting changes
better in the 1990s (Figure 5)--when stock ownership rates shifted up as
mutual fund costs fell--and outperforms the conventional model in seven
of the last eight elections since 1990. Similar results arise in models
that include presidential approval with income growth and midterm
election effects (Models 4 and 8).
[FIGURE 5 OMITTED]
An alternative interpretation is that the upward shift in the
popular vote share owes to an incumbency effect, in that the 1994 jump
in the number of Republican House seats (the Gingrich revolution) had a
hysteresis-like effect on the popular vote share. However, the
Republican share of House seats was in a flat-to-down range between 1986
and 1992, whereas that party's share of the popular vote drifted
upward (Figure 6) since the mid-1980s. In fact, the 1994 jump in the
popular vote share of the popular vote appears to be a temporary
positive outlier along an upward trend that is more consistent with the
stock ownership hypothesis. Indeed, Model 8 notably outperforms Model 4
in the 1990 and 1992 elections and Model 5 performs better than Model 1
in these elections as well, which predated the Gingrich revolution and
the upward shift in the Republican share of House seats in 1994.
Furthermore, improved fit and better estimates of coefficients from
accounting for stock ownership effects are not limited to recent decades
of rising stock ownership rates and Republican gains in House elections.
Indeed, both equity fund models also outperform their conventional
counterparts in the 1964, 1970, and 1974 House elections when the
two-party vote for the Republican Party plunged.
V. ANALYZING THE HOUSE POPULAR VOTE IN THE SOUTH
One concern with the national results is that they might reflect
southern cultural shifts caused by the civil rights revolution and not
investor effects. To address this, we analyze the impact of economic
variables (regional income and mutual fund costs) on the Republican
share (REPVOTESO) of the House vote in the South (defined by
Congressional Quarterly as states from the Confederacy plus Kentucky and
Oklahoma), which exhibit a unit root but not so for other states without
allowing for a time trend. (12)
[FIGURE 6 OMITTED]
This analysis is limited because voting could have been affected by
migration and the extension of voting rights to African Americans in the
South, which altered the voting pool and induced whites to become
Republicans in the early 1960s. But the lifting of voting barriers
enabled many poor whites to vote, and Husted and Kenny (1997) found that
their votes and those of new African American voters raised southern
support for income maintenance programs after the early 1960s. So the
cultural shift story is not as simple as it is sometimes portrayed. With
these caveats in mind, analyzing the South provides a robustness check
because if the findings were qualitatively similar to U.S. results, they
would imply that investor class effects operate amid regional political
realignments.
A. Long-Run Patterns in Southern Popular Vote Share
The Republican vote share has unevenly risen in the South, jumping
in the early 1960s (Figure 7) when the civil rights views of Presidents
Kennedy and Johnson were unpopular. The rise of Republican vote share in
the South in the 1960s and 1970s implies that other factors were at
play. One plausible factor is that the South became less poor in the
1960s and 1970s when the ratio of median disposable income per capita in
the South to the United States (SINCSHARE, Figure 7) rose. (13) As this
ratio rose, the South may have had less incentive to vote for Democrats
because the South has less to gain from redistributive policies
associated with the Democratic Party, consistent with the notion that
relative income shapes political preferences, perhaps as inequality raises the potential gains to the poor from redistribution, as Boskin
and Sheshinski (1978), Frank (1985), and Easterlin (1995) discussed.
Lungqvist and Uhlig (2000) even found that people prefer more
progressive economic policies when they are relatively poor than when
they are absolutely poor.
For these reasons, we use a relative income variable to analyze
long-run voting behavior in the South. The larger, earlier income gap
between the United States and South arguably induced southerners to vote
for the Democratic Party that favored more progressive economic
policies, and as that gap eroded, southerners should shift toward the
Republicans. Since lower income voters favor Democrats, regional income
convergence over the 1960s-1970s could be linked to a shift toward the
Republicans in the South, with later shifts since the early 1980s
plausibly stemming from stock ownership effects.
[FIGURE 7 OMITTED]
To see if stock ownership and income differentials could account
for southern voting patterns, cointegration tests were run using VECMs
that include similar sets of exogenous variables as in the national
models with two differences. First, the log of SINCSHARE is included as
a long-run variable. Second, to control the permanent shift toward the
Republican Party associated with the civil rights movement in the early
1960s, VECMs include CIVILRIGHTS, which equals 0 before 1962, 1/2 in
1962, and 1 since 1964. Since this variable is not really endogenous and
would not be reasonable to model among the long-run variables in a VECM,
it is included as an exogenous variable. By its construction,
CIVILRIGHTS has a long-lasting effect on short-run changes, in
Republican vote share which effectively corrects for the tendency of
SINCSHARE and MFCOST by themselves to underpredict the Republican vote
share since the early 1960s.
As with the national results, eigenvalue and trace statistics
indicate the existence of only one significant cointegrating vector
using each set of exogenous variables and assuming no time trends in the
variables or vector (Table 3). In each case, a lag length of 1 minimized
the AIC and CIVILRIGHTS is included. The sets of exogenous variables
differ from the national sets in excluding the insignificant REALINCOME
variable in the fourth set. In each case, equity fund costs are
significantly and negatively related to Republican voting share (Table
3), and relative southern income is significant, with the hypothesized
positive sign. The implied equilibrium relationships also line up well
with log-level vote shares when adjusted for estimated impact of the
civil rights variable, which is statistically significant as an
exogenous variable (Models 5-8, Table 4). For example, the implied
equilibrium relationship from the VECM including MIDTERM and REALINCOME
(Model 6 in Tables 3 and 4) adjusted for estimated civil rights effects
tracks the Republican popular vote share in the South (Figure 8), and
similar results are obtained using the VECM including MIDTERM and
PRESAPPROVAL (not shown).
B. Short-Run Movements in Southern Popular Vote Share
Following the national House analysis, we examine short-run changes
in the Republican Southern vote share using the same set of VECMs used
to estimate long-run relationships and compare these models with results
from OLS conventional models. The latter contain similar sets of
short-run variables as their VECM counterparts along with the first
difference of the vote share to mirror the lag length of 1 on
first-differences long-run variables in the VECMs. This lag length
implies a sample of 1958-2004. One difference between the corresponding
groups of models is that the conventional models include the first
difference of the civil rights variable, which is significant in
conventional models that focus on tracking just changes in vote share.
In contrast, the level version of CIVILRIGHTS, which was designed to
control for the long-run influence of civil rights effects in the
long-run portion of the mutual fund VECMs, was insignificant but did not
yield any other qualitatively different result (a table of results is
available upon request).
[FIGURE 8 OMITTED]
Several patterns arise in Table 4 that are similar to the national
results. First, MIDTERM is statistically significant in all models.
Second, REALINCOME is insignificant but is included in Models 5-7 for
making comparisons with the national results. Third, the error
correction terms are significant with the expected negative sign.
Reflecting this is the fourth notable pattern that the mutual fund
models outperform their conventional models, with corrected [R.sup.2]s
higher by .23-.28 in corresponding VECMs. Figure 9 illustrates how
mutual fund Model 5 outperforms its conventional counterpart. Overall,
the Southern results are consistent with the national House findings.
VI. STOCK OWNERSHIP AND SENATE ELECTIONS
This section evaluates whether the stock ownership proxy adds
information to models of the two-party split of the total popular vote
in Senate elections (SREPVOTE). Because Senate elections in any
particular cycle are not representative of the United States, since
there are so few Senate races in each election cycle, and because
Senators tend to enjoy much greater name recognition than House members,
one should not expect that the results will be as strong of the models
as tightly fitting as those for the House. Still, qualitatively similar
results would bolster House findings that stock ownership matters.
As before, we first review long-run relationships. ADF tests (Table
5) indicate that there is a unit root in the aggregate Senate vote.
Accordingly, the methodology for the Senate analysis is similar, with
one notable difference. In contrast to House elections, Senate vote
totals are not from a nationwide electorate since one-third of the
Senate is chosen when House elections are held. As a result, the
two-party split in the Senate popular vote fluctuates more than the
House vote, first because there are three different subsamples of Senate
electorates and second because there are fewer Senate races and a
smaller Senate electorate. To control for the former, models include two
0-1 variables (SENATEGROUP1 and SENATEGROUP2) for two groupings (with
the omitted group implicitly controlled for by default) as exogenous
variables in the VECMs and as right hand side variables in the
conventional specifications. (14)
[FIGURE 9 OMITTED]
A. Stock Ownership and Senate Elections in the Long Run
As with the House vote, several VECMs are estimated with similar
sets of short-run exogenous variables to test for robustness in a
limited sample. Each set includes the two senate group 0-1 variables.
One set includes no other exogenous variables; another adds MIDTERM and
REALINCOME; and one included MIDTERM, REALINCOME, WATERGATE, and
PRESAPPROVAL. Since only MIDTERM and PRESAPPROVAL are significant in the
last set and in a series of regressions that drop the least significant
of the insignificant variables, a last set just adds these two
variables.
Results in Table 5 indicate that the two-party Senate vote split is
cointegrated with mutual fund costs. As with the House findings, the
long-run mutual fund cost variable (log-level of MFCOST) is
statistically significant with an implied and hypothesized negative
effect on the Republican share of the Senate vote. Although the size of
the long-run MFCOST coefficient is smaller than that in House elections,
this may reflect modeling problems stemming from different subsample sets of Senate races--interestingly, one-senate group variable
(SENATEGROUP1) is statistically significant.
B. Stock Ownership and Senate Elections in the Short Run
In important ways, the Senate results are similar to those for the
House. First, the error correction term is highly significant and
negative. Recall that mutual fund costs are negatively related to stock
ownership rates and to the Republican share of the Senate vote. Since
the error correction term equals actual minus the estimated equilibrium
level, the negative EC coefficients imply that long-lasting decreases in
mutual fund costs are associated with increases in the Republican
popular vote share in the short run as well as the long run. A second,
related similarity is that mutual fund models have much higher adjusted
[R.sup.2]s than corresponding conventional models, with model fits
rising by .15 comparing Models 1 and 5 and by .12 comparing Models 4 and
8. Third, residuals are well behaved in the mutual fund models but not
in most conventional models. Fourth, the midterm effect is negative and
significant although smaller in size than in the House models. Fifth,
presidential approval is significantly positive, implying a
"presidential pulse effect" for having a more popular
president from one's party. Finally, the Watergate variable is
statistically insignificant, as in the models of the House vote.
Nevertheless, there are a few differences across the House and
Senate results in Tables 2 and 6. First, the size of the error
correction coefficients in the Senate VECMs exceeds 100%. Second, the
disposable income variable (REALINCOME) is insignificant in Senate
models, whereas it is significant in modeling House popular vote
patterns. Third, the model fits are somewhat higher for the House
models. In this regard, the more prominent role played by personality in
Senate races suggests that economic variables may not explain as much of
the variation in the aggregate Senate as in nationwide House popular
vote. Furthermore, the smaller aggregate Senate electorate in any given
election may also add volatility to Senate voting fluctuations that is
difficult to model.
Some of these differences are plausibly linked to the difficulty
posed by modeling voting across three different groups of Senate races,
which may not be fully captured by including 0-1 variables. Although the
large error correction coefficients for the Senate suggest that
overshooting behavior may arise in Senate elections, they may instead
reflect that short-run variables may not fully capture short-run shifts
arising from shifts in the composition of Senate races. Because the
estimated equilibrium values used to construct the EC terms effectively
average across the three groups of Senate races, any missed shifting
effects may be picked up by a larger-than-normal estimated coefficient
on the EC term which would inadvertently pick up a tendency to return
toward the mean. Nevertheless, the basic qualitative results for the
Senate are consistent with the more credible House findings of an
investor class effect of higher stock ownership rates.
VII. CONCLUSIONS
Since the late 1980s, there has been a large rise in stock
ownership rates through mutual funds and an upward shift in the
Republican share of the House popular vote, leading some analysts, such
as Glassman (1999, 2000, 2001), to argue that an investor class effect
has affected voting. However, testing this hypothesis has been hampered
by the lack of continuous time series data on stock ownership rates.
Fortunately, new data on equity mutual fund costs line up well with
discontinuous stock ownership rates as Duca (2005, 2006) showed. Drawing
on this relationship and new studies of equity ownership by Duca (2001,
2005, 2006) and Heaton and Lucas (2000), we use mutual fund cost data to
proxy for stock ownership and find evidence supporting the hypothesis
that an investor class effect has increased the Republican share of the
House popular vote. In particular, results show that the long-run
decline in mutual fund costs not only is strongly correlated with the
Republican vote share in the long run, but also is helpful in tracking
short-run changes. In addition, these qualitative results were also
obtained when analyzing voting behavior in the South--controlling for
shifts in relative regional income--and even in nationally unbalanced
Senate vote totals.
Although the notion that property interests affect voting is old
and intuitive, our study contributes to the empirical literature and
suggests new research topics. Changes in household portfolios could, via
their impact on voting, affect the coalitions and agendas of the major
parties, spurring both to compete more for actual or potential
shareholders. Indeed, the presidential candidates from the two major
parties in 2000 each had proposals regarding mutual fund investing, and
there are many congressional proposals as well. (15) Future voting may
also be influenced by property interests affected by pension or Social
Security legislation or by new financial products, such as exchange
traded funds.
APPENDIX A: HOW EQUITY MUTUAL FUND COSTS ARE MEASURED
Following Duca (2005, 2006), mutual fund costs are based on a
sample of large equity mutual funds. Mutual fund fees are measured using
the weighted-average front-end and back-end load as a percent of assets
at a 5-yr horizon. The back-end load is for withdrawals 5 yr after
assets are invested, front- and back-end loads are annualized by
dividing by 5, and data are weighted by a fund's relative asset
size. Because mutual funds may substitute annual expenses for loads,
expense ratios are added to loads to track total costs, MFCOST. It is
reassuring that MFCOST moves with post-1980 overall equity fund
estimates by Rea and Reid (1998) from the Investment Company Institute,
which fell in the late 1990s as lower in loads outweighed slightly
higher expense ratios.
Because pre-1980 data are sketchy, mutual fund costs were based on
a sample of large mutual funds. Funds were included if assets were at
least: $1 billion at year-end 1991 if the fund began before the
mid-1980s, $2 billion at year-end 1994 if the fund began after 1983, $5
billion at year-end 2003 of 2000, or $250 million at year-end 1975. The
first criterion reflects whether a fund was large during the early
1990s, when bond and equity mutual fund loads fell and households
shifted assets out of M2 into mutual funds. The second criterion follows
Duca (2000) and reflects whether a growing but new fund was large near
the end of these portfolio shifts. The third criterion reflects whether
a fund was large in the early 2000s. Given the stock appreciation of the
1990s, the hurdles for newer funds were higher for the 1994 and early
2000s to keep data gathering costs from exploding. The fourth criterion
includes funds that were relatively large in 1975 when few funds
existed. As in Duca (2005), funds are omitted if they were closed-end or
only open to employees of a specific firm with a few reasonable
exceptions.
[FIGURE 10 OMITTED]
APPENDIX B: WHY THE HOMEOWNERSHIP RATE IS UNLIKELY TO ACCOUNT FOR
THE LEVEL SHIFT IN THE TWO-PARTY SPLIT IN THE HOUSE POPULAR VOTE
For three empirical reasons, there does not appear to be a long-run
relationship between the homeownership rate and the House popular vote.
First, U.S. homeownership data start in 1966, which shortens the sample,
which may in turn account for why homeownership rates (in logs or
levels) do not appear to be I(1), in contrast to mutual fund costs and
the Republican share of the House vote which are I(1) over the longer
1954-2004 period. Second, U.S. homeownership rates were flat over
1966-1996, before rising in the late 1990s. This increase in the late
1990s lags behind the uptrend in the Republican share of the House
popular (Figure 10), in contrast to stock ownership rates (mutual fund
costs), which rose (fell) slightly ahead of voting shares. It is more
plausible that a change in property ownership status would lead or
coincide with a change in voting behavior. Third, the size of the shift
in the U.S. popular vote (about 5 percentage points) exceeds that of the
3-percentage point rise of homeownership rates in the late 1990s, which
apparently was concentrated among minority households, whose voting
behavior did not change much in the last 10 yr. Given some preexisting division in party loyalties, the 5-percentage point shift in voting
patterns appears more plausibly linked to the larger 26-percentage point
rise in the stock ownership rate. On these empirical grounds, a rise in
stock ownership rates, rather than homeownership rates, appears to be a
more relevant factor behind an apparent realignment toward the
Republican Party in House elections. Intuitively, homeownership may
create more of an incentive for voters to seek economic stability,
whereas stock ownership may give voters more of an incentive to back
candidates with more business-friendly policy positions.
TABLE A1
Cointegration Results for Republican Share of Two-Party House
Popular Vote
Cointegrating
Equilibrium
Relationship
(Assumption: No
Trend in
Vector, but
Model and No. of Significant Trend in Log Likelihood
Vector Vectors Variables (AIC)
No short-run variables present
5 1 ln(REPVOTE) = 4.039361
- 0.340668 ln (MFCOST) ** 94.16094 (-6.923722)
(-6.00)
With MIDTERM and disposable income growth present
6 1 ln(REPVOTE) = 3.998250
- 0.266393 ln(MFCOST) ** 104.5917 (-7.871969)
(-3.68)
With MIDTERM, disposable income growth, WATERGATE, GINGRICH, and
presidential approval present
7 1 ln(REPVOTE) = 3.993854
- 0.258452 ln(MFCOST) ** 117.6296 (-9.057240)
(-3.19)
With MIDTERM, disposable income growth, and presidential approval
present
8 1 ln(REPVOTE) = 3.995695
- 0.261777 ln(MFCOST) ** 112.7119 (-8.610172)
(-4.03)
Unit root test statistics, ADF statistics
Eigenvalue (Trace Statistics,
Max-Eigen Statistics
Model and No. of Significant
Vector Vectors 0 Vector 1 Vector
No short-run variables present
5 1 0.631112 0.001801
(21.97945 **, (0.039667,
21.93979 **) 0.039667)
With MIDTERM and disposable income growth present
6 1 0.510962 0.068391
(17.29549 *, (1.558534,
15.73695 *) 1.558534)
With MIDTERM, disposable income growth, WATERGATE, GINGRICH, and
presidential approval present
7 1 0.488966 0.105707
(17.22689 *, (2.457892,
14.76900 *) 2.457892)
With MIDTERM, disposable income growth, and presidential approval
present
8 1 0.587261 0.066148
(20.97430 **, (1.505610,
19.46869 **) 1.505610)
Unit root test statistics, ADF statistics
Level 5% Critical Level
(AIC Lag) for Lag
ln(REPVOTE) 0.449068 (4) -3.012363
ln(REPVOTE) 0.166639 (6) -3.673616
ln(REPVOTE) 0.174860 (3) -3.004861
ln(REPVOTE) -0.729981 (2) -3.622033
1% Critical Level First Difference
for Lag (AIC Lag)
ln(REPVOTE) -3.788030 -7.959103 ** (0)
ln(REPVOTE) -4.532598 -7.976779 ** (0)
ln(REPVOTE) -3.769597 -1.146193 (3)
ln(REPVOTE) -4.416345 -5.308305 ** (0)
5 Critical level 1 Critical level
for Lag for Lag
ln(REPVOTE) -2.991878 -3.737853
ln(REPVOTE) -3.612199 -4.394309
ln(REPVOTE) -3.012363 -3.788030
ln(REPVOTE) -3.612199 -4.394309
Assumptions
ln(REPVOTE) Constant/no trend
ln(REPVOTE) Constant/no trend
ln(REPVOTE) Constant/no trend
ln(REPVOTE) Constant/no trend
Notes: t Statistics are in parentheses except when the AIC
statistic is reported. For each of the vectors listed above,
a lag length of 3 minimized the AIC in the cointegration tests
and yielded significant and unique vectors. The modified AIC
was used to determine the lag length (up to 10) in the ADF unit
root tests. Data used span 1954-2004.
* and ** denotes significance at the 95%, and 99%, levels,
respectively.
TABLE A2
Models of the Percent Change in the Republican Share of the Two-Party
Popular Vote in House Elections (VECM Results Allowing for Time Trends
in Variables, 1962-2004)
No Error Correction Term
Variable Model 1 Model 2
Constant 0.0121 (0.83) 0.0122 (1.23)
[EC.sub.t-1]
[MIDTERM.sub.t] 0.0711 ** (-4.59)
[REALINCOME.sub.t] 0.0098 ** (2.77)
[WATERGATE.sub.t]
[GINGRICH.sub.t]
[PRESAPPROVAL.sub.t]
[DELTAln -0.653 * (-2.79) -0.3045 ([dagger])
[(REPVOTE).sub.t-1] (-1.72)
[DELTA]ln
[(MFCOST).sub.t-1]]
Adjusted [R.sup.2] .204 .630
LM(l) 0.15 0.02
LM(2) 5.00 ([dagger]) 2.51
Q(12) 12.58 10.40
No Error Correction Term
Variable Model 3 Model 4
Constant -0.5887 ** (-4.27) -0.5026 ** (-3.17)
[EC.sub.t-1]
[MIDTERM.sub.t] -0.0683 ** (-4.94) -0.0819 ** (-6.45)
[REALINCOME.sub.t] 0.0013 (0.47) 0.0057 * (1.86)
[WATERGATE.sub.t] -0.07731 (-1.86)
[GINGRICH.sub.t] 0.0415 (1.07)
[PRESAPPROVAL.sub.t] 0.1547 ** (434) 0.1325 ** (3.25)
[DELTAln -0.2589 * (-2.08) -0.2627 ([dagger])
[(REPVOTE).sub.t-1] (-1.87)
[DELTA]ln
[(MFCOST).sub.t-1]]
Adjusted [R.sup.2] .796 .768
LM(l) 0.92 3.361
LM(2) 6.71 * 3.73
Q(12) 10.21 17.81
Error Correction Term
Variable Model 5 Model 6
Constant 0.0453 * (2.18) 0.0107 (0.90)
[EC.sub.t-1] -1.9081 ** (-3.40) -1.1038 * (-2.60)
[MIDTERM.sub.t] -0.0554 ** (-4.02)
[REALINCOME.sub.t] 0.0089 ** (3.12)
[WATERGATE.sub.t]
[GINGRICH.sub.t]
[PRESAPPROVAL.sub.t]
[DELTAln 0.8016 (1.67) 0.4243 (1.27)
[(REPVOTE).sub.t-1]
[DELTA]ln 0.7370 (1.59) 0.1889 (0.64)
[(MFCOST).sub.t-1]]
Adjusted [R.sup.2] .508 .779
LM(l) 1.63 4.24 *
LM(2) 1.64 4.47
Q(12) 13.04 10.94
Error Correction Term
Variable Model 7 Model 8
Constant -0.4000 ** (-3.03) -0.3970 ** (-3.26)
[EC.sub.t-1] -0.73551 (-2.06) -0.9284 * (-2.97)
[MIDTERM.sub.t] -0.0564 ** (-4.95) -0.0668 ** (-6.31)
[REALINCOME.sub.t] 0.0056 ([dagger]) 0.0059 * (2.62)
(2.10)
[WATERGATE.sub.t] -0.0398 (-0.96)
[GINGRICH.sub.t] 0.0386 (1.01)
[PRESAPPROVAL.sub.t] 0.1050 ** (3.09) 0.1041 ** (3.35)
[DELTAln 0.1372 (0.47) 0.3239 (1.32)
[(REPVOTE).sub.t-1]
[DELTA]ln 0.0393 (0.17) 0.1281 (0.60)
[(MFCOST).sub.t-1]]
Adjusted [R.sup.2] .876 .881
LM(l) 2.47 0.16
LM(2) 3.18 0.16
Q(12) 14.27 11.00
Notes: t Statistics are in parentheses. EC terms are from VECMs that
jointly estimate long- and short-run relationships. t - 2 and t - 3
lags of [DELTA]ln(REPVOTE) and [DELTA]ln(MFCOST) are not reported
to conserve space.
*, **, and ([dagger]) are significant at the 95%, 99%, and 90%
levels, respectively.
ABBREVIATIONS
ADF: Augmented Dickey-Fuller
AIC: Akaike Information Criterion
GNP: Gross National Product
LM: Lagrange Multiplier
OLS: Ordinary Least Square
VECM: Vector Error Correction Models
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http:/zogby.com/news/ReadNews. dbm?ID=290
(1.) See Faucheux (1999), Gigot (1999), Glassman (2000), Gross
(2000), Kudlow (1997), and Nadler (1999).
(2.) Appendix B reviews why homeownership is unlikely to have
affected long-run House voting patterns.
(3.) Rates include direct and indirect ownership (mainly mutual
funds), with both components--especially the latter, including
retirement assets. The rates plotted are not fully consistent for minor
differences (Duca 2005) and are from Aizcorbe, Kennickell, and Moore
(2003), Bucks, Kennickell, and Moore (2006), Durkin and Elliehausen
(1978), Katona et al. (1968, 1970, 1971), and Kennickell, Starr-McCluer,
and Surette (2000). 1983 Data are computed using Survey of Consumer
Finances sample weights and definitions from earlier surveys. Equity
fund costs are from Duca (2005, 2006).
(4.) In Zogby International's October 2000 poll, investors
were evenly split between intentions to vote for Democrats or
Republicans, with noninvestors favoring Democrats 43%-32%. Investors
were split between self-described Democrats and Republicans (38% vs.
37%), with noninvestors more likely to be Democrats (45% vs. 27%). In
2000 exit polls, shareholders favored Bush to Gore by 51%-45% and
nonshareholders favored Gore by 51%-43% (Rasmussen Research 2000). Using
Rasmussen Research's January 1999 poll, Nadler analyzed party
affiliation by income and whether people had portfolios of at least
$5,000. In four groups, portfolio owners favored Republicans over
nonowners by 12-20 percentage points. For the 831 out of 6,400
respondents earning above $75,000, the gap was only 2 percentage points.
(5.) Data are in logs because it helps to better estimate separate
effects from other variables in modeling short-run changes in voting and
to more accurately identify long-run relationships (cointegrating
vectors).
(6.) Kramer (1971) found that incumbency-adjusted unemployment
rate, nominal GNP growth, and inflation were insignificant in the
presence of significant income growth. Finding parallel results with
first differences, we only show results using REALINCOME as the only
short-run economic variable to conserve space.
(7.) Campbell (1997) used Gallup data but focused on midterm
elections.
(8.) To limit simultaneity bias, PRESAPPROVAL was replaced in other
models with PRESPOPWIN, equal to 1 if the Republican won the popular
vote, -1 if the Democrat won, and 0 otherwise. As qualitative results
were similar but model fits were better with PRESAPPROVAL, we report
these runs to conserve space.
(9.) Fiorina (1981) argued that Watergate's effect on party
affiliation was permanent not transitory, while Ladd (1995) saw the
shift as insufficient to curtail broader trends favoring a Republican
realignment.
(10.) Campbell (1997) found that each percentage point margin of
victory in the presidential popular vote cuts a party's House
popular vote share by 0.2 percentage points in the next midterm
election. Campbell's results and the average 9-point victory margin
in our sample imply a midterm effect of 2 points, near our estimates.
(11.) Campbell (1997) found that a party's popular vote share
rises 0.4 percentage points per percentage point margin of victory in
the presidential popular vote, for an average win effect of 4 percentage
points.
(12.) Allowing for a time trend yields qualitatively similar
findings for the non-South as mutual fund costs are cointegrated with
Republican vote share with the expected significant sign; EC terms are
significant in modeling first differences; and VECMs outperform
corresponding conventional models (results available).
(13.) As non-South median income is unavailable, we use the ratio
of southern to U.S. median income, which is similar to state income
dispersion data that converged in most of the 1900s (Barro and
Sala-i-Martin 1991) but not much since the early 1980s (Cochrane 1999;
Rey 2001, 4; Sherwood-Call 1996).
(14.) SENATEGROUP1 (SENATEGROUP2) equals 1 every sixth year since
1954 (1956) and 0 otherwise. Perhaps reflecting three groups of Senate
elections, a greater role of personalities in Senate elections, and a
smaller number of Southern Senate elections, the Southern two-party
split of the Senate popular vote does not have a unit root.
(15.) George Bush proposed raising the annual limits on
tax-deferred contributions to thrift plans and IRA contributions and
converting some portion of Social Security into a defined
contribution-like plan. Al Gore proposed giving many families access to
a national thrift plan, with federal matching of contributions based on
income. In June 2001, legislation was enacted that increased IRA and
thrift plan limits starting in 2002.
JOHN V. DUCA and JASON L. SAVING, We would like to thank Alan
Viard, two anonymous referees, and session participants at the American
Economic Association, Western Economic Association International, and
American Political Science Association meetings for suggestions. We also
thank Daniel Wolk, Jamie Lee, and Christine Rowlette for excellent
research assistance. The views expressed are those of the authors and do
not necessarily reflect those of the Federal Reserve Bank of Dallas or
the Federal Reserve System. Our study analyzes shifting political trends
and in no way should be interpreted as endorsing or criticizing any
political party or figure. Any remaining errors are ours alone.
Duca: Vice President and Senior Economist, Research Department,
Federal Reserve Bank of Dallas, P.O. Box 655906-5906, Dallas, TX 75265.
Phone 1-214-922-5154, Fax 1-214-922-5194, E-mail john.v.duca@dal.
frb.org
Saving: Senior Economist, Research Department, Federal Reserve Bank
of Dallas, P.O. Box 655906-5906, Dallas, TX 75265. Phone 1-214-922-5167,
Fax 1-214-922-5194, E-mail jason.saving@dal.frb.org
TABLE 1
Cointegration Results for Republican Share of U.S. Two-Party House
Popular Vote, 1954-2004
Cointegrating Equilibrium
No. of Relationship
Model and Significant (Assumption: No Trend in
Vector Vectors Vector or in Variables)
No short-run variables present
5 1 ln(REPVOTE) = 4.071488 ** - 0.341267 ln(MFCOST) **
(102.04) (-6.21)
With MIDTERM and disposable income growth present
6 1 ln(REPVOTE) = 4.023977 ** - 0.275105 ln(MFCOST) **
(80.12) (-3.98)
With MIDTERM, disposable income growth, WATERGATE, GINGRICH, and
presidential approval present
7 1 ln(REPVOTE) = 3.363681 ** - 0.271182 ln(MFCOST) **
(26.53) (-6.27)
With MIDTERM, disposable income growth, and presidential approval
present
8 1 ln(REPVOTE) = 3.652723 ** - 0.246681 ln(MFCOST) **
(35.40) (-3.77)
Unit root test statistics, ADF statistics
Eigenvalue (Trace Statistic, Max-
Model and Log Likelihood Eigen Statistic)
Vector (AIC)
0 Vector
No short-run variables present
5 93.10325 (-6.918477) 0.647815 (25.11423 **,
22.95918 **)
With MIDTERM and disposable income growth present
6 103.2153 (-7.837754) 0.530662 (20.95276 *,
16.64149 *)
With MIDTERM, disposable income growth, WATERGATE, GINGRICH, and
presidential approval present
7 104.3688 (-8.669888) 0.813277 (41.95596 **,
36.91885 **)
With MIDTERM, disposable income growth, and presidential approval
present
8 114.4425 (-8.585678) 0.738777 (33.57684 **,
31.12530 **)
Unit root test statistics, ADF statistics
Eigenvalue (Trace Statistic, Max-
Model and Eigen Statistic)
Vector
1 Vector
No short-run variables present
5 0.093312 (2.155057,
2.155057)
With MIDTERM and disposable income growth present
6 0.177960 (4.311263,
4.311263)
With MIDTERM, disposable income growth, WATERGATE, GINGRICH, and
presidential approval present
7 0.204639 (5.037109,
5.037109)
With MIDTERM, disposable income growth, and presidential approval
present
8 0.167931 (4.044482,
4.044482)
Unit root test statistics, ADF statistics
Level 5% Critical Level 1% Critical Level
(AIC Lag) for Lag for Lag
ln(REPVOTE) 0.449068 (4) -3.012363 -3.788030
ln(REPVOTE) 0.166639 (6) -3.673616 -4.532598
ln(MFCOST) 0.174860 (3) -3.004861 -3.769597
ln(MFCOST) -0.729981 (2) -3.622033 -4.416345
First Difference 5 Critical Level 1 Critical Level
(AIC Lag) for Lag for Lag
ln(REPVOTE) -7.959103 ** (0) -2.991878 -3.737853
ln(REPVOTE) -7.976779 ** (0) -3.612199 -4.394309
ln(MFCOST) -1.146193 -3.012363 -3.788030
ln(MFCOST) -5.308305 ** (0) -3.612199 -4.394309
Assumptions
ln(REPVOTE) Constant/no trend
ln(REPVOTE) Constant and trend
ln(MFCOST) Constant/no trend
ln(MFCOST) Constant and trend
Notes: t Statistics are in parentheses except when the AIC
statistic is reported. For Vectors 5, 6, and 8, a lag length
of 3 minimized the AIC in the cointegration tests and yielded
significant and unique vectors. For Vector 7, the AIC implied
a lag length of 1. The modified AIC was used to determine the
lag length (up to 10) in the ADF unit root tests. Data span
1954-2004.
* and ** denote significance at the 95%, and 99% levels,
respectively.
TABLE 2
Models of the Percent Change in the Republican Share of the Two-Party
Popular Vote in House Elections (VECMs, Results over 1962-2004
Using Data over 1954-2004)
No Error
Correction Term
Variable Model 1 Model 2
Constant 0.0121 (0.83) 0.0122 (1.23)
[EC.sub.t - 1]
[MIDTERM.sub.t] 0.0711 ** (-4.59)
[REALINCOME.sub.t] 0.0098 * (2.77)
[WATERGATE.sub.t]
[GINGRICH.sub.t]
[PRESAPPROVAL.sub.t]
[DELTA]ln -0.653 * (-2.79) -0.3045 (-1.72)
[(REPVOTE).sub.t-1]
[DELTA]ln
[(MFCOST).sub.t-1]
Adjusted [R.sup.2] .204 .630
LM(1) 0.15 0.02
LM(2) 5.00 ([dagger]) 2.51
Q(12) 12.58 10.40
No Error
Correction Term
Variable Model 3 Model 4
Constant -0.5887 ** (-4.27) -0.5026 ** (-3.17)
[EC.sub.t - 1]
[MIDTERM.sub.t] -0.0683 ** (-4.94) -0.0819 ** (-6.45)
[REALINCOME.sub.t] 0.0013 (0.47) 0.0057 ([dagger])
(1.86)
[WATERGATE.sub.t] -0.07731 (-1.86)
[GINGRICH.sub.t] 0.0415 (0.07)
[PRESAPPROVAL.sub.t] 0.1547 ** (4.34) 0.1325 ** (3.25)
[DELTA]ln -0.2589 ([dagger]) -0.2627 ([dagger])
[(REPVOTE).sub.t-1] (-2.08) (-1.87)
[DELTA]ln
[(MFCOST).sub.t-1]
Adjusted [R.sup.2] .796 .768
LM(1) 0.92 3.36 ([dagger])
LM(2) 6.71 * 3.73
Q(12) 10.21 17.81
No Error Error
Correction Term Correction Term
Variable Model 5 Model 6
Constant
[EC.sub.t - 1] -1.7693 ** (-3.30) -0.9875 * (-2.40)
[MIDTERM.sub.t] -0.0565 ** (-4.10)
[REALINCOME.sub.t] 0.0088 * (3.08)
[WATERGATE.sub.t]
[GINGRICH.sub.t]
[PRESAPPROVAL.sub.t]
[DELTA]ln 0.7118 (1.53) 0.353 (1.07)
[(REPVOTE).sub.t-1]
[DELTA]ln 0.7833 (1.71) 0.2456 (0.83)
[(MFCOST).sub.t-1]
Adjusted [R.sup.2] .514 .778
LM(1) 0.44 2.00
LM(2) 0.44 2.01
Q(12) 12.97 9.93
Error Correction Term
Variable Model 7 Model 8
Constant
[EC.sub.t - 1] -0.7258 ** (-7.68) -1.0307 ** (-5.07)
[MIDTERM.sub.t] -0.0613 ** (-6.76) -0.0646 ** (-7.47)
[REALINCOME.sub.t] 0.0039 * (2.23) 0.0063 ** (3.05)
[WATERGATE.sub.t] -0.0454 (-1.63)
[GINGRICH.sub.t] 0.0301 (1.14)
[PRESAPPROVAL.sub.t] 0.1216 ** (7.79) 0.0904 ** (5.04)
[DELTA]ln 0.1225 (1.25) 0.3919 * (2.19)
[(REPVOTE).sub.t-1]
[DELTA]ln 0.0856 (0.54) 0.1355 (0.70)
[(MFCOST).sub.t-1]
Adjusted [R.sup.2] .908 .890
LM(1) 0.33 0.50
LM(2) 3.23 0.58
Q(12) 15.79 8.79
Notes: t Statistics are in parentheses. EC terms are from VECMs
that jointly estimate long- and short-run relationships. t - 2 and
t - 3 lags of [DELTA]ln(REPVOTE) and [DELTA]ln(MFCOST) are
not reported to conserve space.
*, **, and ([dagger]) are significant at the 95%, 99%, and
90%, levels, respectively.
TABLE 3
Cointegration Results for Republican Shares of Southern Two-Party
House Popular Vote, 1954~2004
Cointegrating
Equilibrium
Relationship
(Assumption: No
Trend in
Model and No. of Significant Vector or
Vector Vectors in Variables
Only CIVILRIGHTS present
5 1 ln(REPVOTESO) = -4.989362 **
(-5.65)
- 0.799579 ln(MFCOST) **
(-15.82)
+ 1.921269 ln(SINCSHARE) **
(9.67)
With CIVILRIGHTS, MIDTERM, and disposable income growth present
6 1 ln(REPVOTESO) = 5.746194 **
(-6.82)
- 0.776692 ln(MFCOST) **
(-17.44)
+ 2.099087 ln(SINCSHARE) **
(11.03)
With CIVILRIGHTS, MIDTERM, disposable income growth, WATERGATE,
GINGRICH, and presidential approval present
7 1 ln(REPVOTESO) - 5.525293 **
(-6.23)
- 0.789051 ln(MFCOST) **
(-16.61)
+ 2.000153 ln(SINCSHARE) **
(9.92)
With CIVILRIGHTS, MIDTERM. and presidential approval present
8 1 ln(REPVOTESO) = -5.416989 **
(-6.41)
- .802878 * ln(MFCOST) **
(-17.66)
+ 1.980887 * ln(SINCSHARE) **
(10.24)
Unit root test statistics, ADF statistics
Model and No. of Significant Log Likelihood
Vector Vectors (AIC)
Only CIVILRIGHTS present
5 1 167.9728
(-12.66440)
With CIVILRIGHTS, MIDTERM, and disposable income growth present
6 1 179.2281
(-14.43567)
With CIVILRIGHTS, MIDTERM, disposable income growth, WATERGATE,
GINGRICH, and presidential approval present
7 1 196.8619
(-15.07182)
With CIVILRIGHTS, MIDTERM. and presidential approval present
8 1 189.3963
(-14.44969)
Unit root test statistics, ADF statistics
Eigenvalue (Trace Statistics,
Max-Eigen Statistics
Model and No. of Significant
Vector Vectors 0 Vectors 1 Vector
Only CIVILRIGHTS present
5 1 0.0893983 0.375633
(66.53954) **, (12.67970,
53.859883 **) 11.30440)
With CIVILRIGHTS, MIDTERM, and disposable income growth present
6 1 0.915862 0.353355
(72.02558 **, (12.61843.
59.40715 **) 10.46298)
With CIVILRIGHTS, MIDTERM, disposable income growth, WATERGATE,
GINGRICH, and presidential approval present
7 1 0.926991 0.450651
(77.55257 **, (14.74058,
62.81198 **) 14.37651)
With CIVILRIGHTS, MIDTERM. and presidential approval present
8 1 0.917013 0.404728
(72.98215 **, (13.24446,
59.73769 **) 12.44968)
Unit root test statistics, ADF statistics
5% Critical
Level (AIC Lag) Level for Lag
ln(REPVOTESO) -1.591496 (1) -2.991878
ln(REPVOTESO) -2.624879 (0) -3.612199
ln(REPVOTENO) (a) -3.499933 * (1) -2.991878
ln(REPVOTENO) -3.473299 (1) -3.612199
1% Critical First Difference
Level for Lag (AIC Lag)
ln(REPVOTESO) -3.737853 -5.662519 ** (0)
ln(REPVOTESO) -4.394309 -5.633538 ** (0)
ln(REPVOTENO) (a) -3.737853 -5.436498 ** (0)
ln(REPVOTENO) -4.394309 -5.272608 ** (0)
5 Critical 1 Critical
Level for Lag Level for Lag
ln(REPVOTESO) -2.991878 -3.737853
ln(REPVOTESO) -3.612199 -4.394309
ln(REPVOTENO) (a) -2.998064 -3.752946
ln(REPVOTENO) -3.622033 -4.416345
Assumptions
ln(REPVOTESO) Constant/no trend
ln(REPVOTESO) Constant and trend
ln(REPVOTENO) (a) Constant/no trend
ln(REPVOTENO) Constant and trend
Notes: t Statistics are in parentheses except when AIC statistic
is reported. For each vector, a lag length of 1 minimized the AIC
in the cointegration tests and yielded significant and unique vectors.
The modified AIC was used to determine the lag length (up to 10)
in the ADF unit root tests. Data used span 1954-2004.
(a) REPVOTENO denotes Republican share of non-South vote.
* and ** denote significance at the 95% and 99% levels, respectively.
TABLE 4
Models of the Percent Change in the Republican Share of the Two-Party
Popular Vote in Southern House Elections 1958-2004
No Error Correction Term
Variable Model 1 Model 2
Constant 0.0248 (1.17) 0.0353 * (2.10)
[EC.sub.t-1]
[MIDTERM.sub.t] 0.0871 ** (-3.94) -0.0813 ** (-2.82)
[REALINCOME.sub.t] -0.0006 (-0.12) -0.0001 (-0.00)
[WATERGATE.sub.t]
[GINGRICH.sub.t]
[PRESAPPROVAL.sub.t]
[DELTA]ln -0.1465 (-0.98) -0.1170 (-0.87)
[(REPVOTESO).sub.t-1]
[DELTA]ln
[(MFCOST).sub.t-1]
[DELTA]ln
[(SINCSHARE).sub.t-1]
[DELTA][CIVILRIGHTS 0.6301 ** (4.58) 0.5186 ** (4.74)
.sub.t] or
[CIVILRIGHTS.sub.t]
Adjusted [R.sup.2] .469 .687
LM(1) 2.27 0.04
LM(2) 2.52 2.10
Q(12) 9.58 6.40
No Error Correction Term
Variable Model 3 Model 4
Constant -0.0593 (-0.17) -0.1590 (-0.51)
[EC.sub.t-1]
[MIDTERM.sub.t] -0.0936 ** (-4.02)
[REALINCOME.sub.t]
[WATERGATE.sub.t] -0.0070 (-0.08)
[GINGRICH.sub.t] 0.0816 (0.92)
[PRESAPPROVAL.sub.t] 0.0230 (0.26) 0.0494 (0.63)
[DELTA]ln -0.1037 (-0.64) -0.0677 (-0.51)
[(REPVOTESO).sub.t-1]
[DELTA]ln
[(MFCOST).sub.t-1]
[DELTA]ln
[(SINCSHARE).sub.t-1]
[DELTA][CIVILRIGHTS 0.5367 ** (4.58) 0.5177 ** (4.79)
.sub.t] or
[CIVILRIGHTS.sub.t]
Adjusted [R.sup.2] .654 .693
LM(1) 0.35 0.00
LM(2) 1.56 1.87
Q(12) 5.00 6.35
Error Correction Term
Variable Model 5 Model 6
Constant
[EC.sub.t-1] -1.0816 ** (-6.35) -0.8850 ** (-9.24)
[MIDTERM.sub.t] -0.0892 ** (-7.86)
[REALINCOME.sub.t] 0.0028 (1.12)
[WATERGATE.sub.t]
[GINGRICH.sub.t]
[PRESAPPROVAL.sub.t]
[DELTA]ln -0.3086 ([dagger]) 0.2707 * (2.83)
[(REPVOTESO).sub.t-1] (-1.92)
[DELTA]ln 0.6083 (1.25) 0.7832 ** (3.11)
[(MFCOST).sub.t-1]
[DELTA]ln -0.2761 (-0.26) -1.2977 * (-2.30)
[(SINCSHARE).sub.t-1]
[DELTA][CIVILRIGHTS 0.6202 ** (7.44) 0.4861 ** (11.79)
.sub.t] or
[CIVILRIGHTS.sub.t]
Adjusted [R.sup.2] .697 .921
LM(1) 1.19 1.86
LM(2) 1.79 4.22
Q(12) 16.13 8.07
Error Correction Term
Variable Model 7 Model 8
Constant
[EC.sub.t-1] -0.8670 ** (-9.91) -0.8518 ** (-10.06)
[MIDTERM.sub.t] -0.0932 ** (-7.30) -0.0931 ** (-8.78)
[REALINCOME.sub.t] 0.0029 (1.14)
[WATERGATE.sub.t] -0.0113 (-0.28)
[GINGRICH.sub.t] 0.0299 (0.79)
[PRESAPPROVAL.sub.t] 0.0546 ** (6.27) 0.0509 ** (6.21)
[DELTA]ln 0.2821 ** (3.14) 0.2360 ** (2.99)
[(REPVOTESO).sub.t-1]
[DELTA]ln 0.7955 ** (3.31) 0.8208 ** (3.60)
[(MFCOST).sub.t-1]
[DELTA]ln -1.4190 * (-2.67) -1.3508 * (-2.65)
[(SINCSHARE).sub.t-1]
[DELTA][CIVILRIGHTS 0.4630 ** (8.90) 0.4579 ** (9.10)
.sub.t] or
[CIVILRIGHTS.sub.t]
Adjusted [R.sup.2] .931 .934
LM(1) 6.84 ** 1.71
LM(2) 7.82 * 2.18
Q(12) 7.75 10.71
Notes: t Statistics are in parentheses. EC terms from VECMs
jointly estimate long- and short-run relationships.
(a) ACIVILRIGHTS, is in Models 1-4, and CIVILRIGHTS,
is in Models 5-8.
*, **, and t denote significance at the 95%, 99%, and 90%
levels, respectively.
TABLE 5
Cointegration Results for Republican Share of U.S. Two-Party
Senate Popular Vote, 1954-2004
Cointegrating
Equilibrium
Relationship
(Assumption:
No Trend in
Model and No. of Significant Vector or in
Vector Vectors Variables
No short-run variables present
5 1 ln(SREPVOTE) = 3.906146 **
(123.96)
- 0.122310 ln(MFCOST) **
(2.85)
With MIDTERM and disposable income growth present
6 1 ln(SREPVOTE) = 3.890057 **
(112.10)
- 0.091274 ln(MFCOST) ([dagger])
(-1.95)
With MIDTERM, disposable income growth, WATERGATE, and presidential
approval present
7 1 ln(SREPVOTE) = 3.604044 **
(23.35)
- 0.097294 ln (MFCOST) ([dagger])
(-1.88)
With MIDTERM and presidential approval present
8 1 ln(SREPVOTE) = 3.572279 **
(24.28)
- 0.113408 ln(MFCOST) *
(-2.29)
Unit root test statistics, ADE statistics
Eigenvalue
(Trace Statistics,
Max-Eigen Statistics)
Model and No. of Significant Log Likelihood
Vector Vectors (AIC)
No short-run variables present
5 1 89.76563 (-6.730469)
With MIDTERM and disposable income growth present
6 1 93.77452 (-7.064543)
With MIDETERM, disposable income growth, WATERGATE, and
presidential approval present
7 1 100.3001 (-7.608341)
With MIDTERM and presidential approval present
8 1 95.15140 (-7.179283)
Unit root test statistics, ADF statistics
Eigenvalue
(Trace Statistics,
Max-Eigen Statistics)
Model and No. of Significant
Vector Vectors 0 Vector
No short-run variables present
5 1 0.616312 (26.55036 **,
22.99023 **)
With MIDTERM and disposable income growth present
6 1 0.528997 (21.90128 *,
18.06940 *)
With MIDETERM, disposable income growth, WATERGATE, and
presidential approval present
7 1 0.585096 (23.26358 *,
21.11301 *)
With MIDTERM and presidential approval present
8 1 0.572945 (23.35607 *,
20.42022 **)
Unit root test statistics, ADF statistics
Eigenvalue
(Trace Statistics,
Max-Eigen Statistics)
Model and No. of Significant
Vector Vectors 1 Vector
No short-run variables present
5 1 0.137861 (3.560122,
3.560122)
With MIDTERM and disposable income growth present
6 1 (0.147568 (3.831880,
3.831880)
With MIDETERM, disposable income growth, WATERGATE, and
presidential approval present
7 1 0.085710 (2.150573,
2.150573)
With MIDTERM and presidential approval present
8 1 0.115141 (2.935848,
2.935848)
Unit root test statistics, ADF statistics
Level 5% Critical Level
(AIC Lag) for Lag
ln(SREPVOTE) -0.526579 (6) -3.02997
ln(SREPVOTE) 7.322867 ** (0) -3.603202
ln(MFCOST) 0.248677 (3) -2.998064
In(MFCOST) -0.729981 (2) -3.622033
1% Critical Level First Difference
for Lag (AIC Lag)
ln(SREPVOTE) -3.831511 -9.489163 ** (0)
ln(SREPVOTE) -4.374307 -9.271089 ** (0)
ln(MFCOST) -3.752946 -1.146193 (3)
In(MFCOST) -4.416345 -5.308305 ** (0)
5 Critical Level 1 Critical Level
for Lag for Lag
ln(SREPVOTE) -2.991878 -3.737853
ln(SREPVOTE) -3.612199 -4.394309
ln(MFCOST) -3.012363 -3.78803
In(MFCOST) -3.612199 -4.394309
Assumptions
ln(SREPVOTE) Constant/no trend
ln(SREPVOTE) Constant and trend
ln(MFCOST) Constant/no trend
ln(MFCOST) Constant and trend
Notes: t Statistics are in parentheses except when AIC statistic
is reported. For each vector, a lag length of 1 minimized the AIC
in the cointegration tests and yielded significant and unique vectors.
The modified AIC was used to determine the lag length (up to 10)
in the ADF unit root tests. Data used span 1954-2004.
(a) REPVOTENO denotes Republican share of non-South vote.
* and ** denote significance at the 95% and 99% levels, respectively.
TABLE 6
VECMs of the Percent Change of the Two-Party Popular Senate Vote,
1956-1904
No Error Correction Term
Variable Model 1 Model 2
Constant -0.0517 ([dagger]) -0.0333 (-1.32)
(-1.88)
[EC.sub.t-1]
[MIDTERM.sub.t] 0.0601 * (-2.61)
[REALINCOME.sub.t] 0.0004 (0.09)
[WATERGATE.sub.t]
[PRESAPPROVAL..sub.t]
[DELTA]ln -0.5663 ** (-3.26) -0.3979 ([dagger])
[(SREPVOTE).sub.t-1] (-2.07)
[DELTA]ln
[(MFCOST).sub.t-1]
[SENATEGROUP.sub.1] 0.1122 ** (2.91) 0.1001 ** (2.91)
[SENATEGROUP2.sub.t] 0.0519 (1.22) 0.0201 (0.51)
Adjusted [R.sup.2] .490 .604
LM(1) 7.37 ** 5.65 *
LM(2) 7.61 * 5.66 ([dagger])
Q(12) 17.47 11.75
No Error Correction Term
Variable Model 3 Model 4
Constant -0.5537 * (-2.20) -0.5023 ([dagger])
(-1.98)
[EC.sub.t-1]
[MIDTERM.sub.t] -0.0614 * (-2.76) -0.0746 ** (-3.52)
[REALINCOME.sub.t] -0.0034 (-0.78)
[WATERGATE.sub.t] -0.1283 ([dagger])
(-1.79)
[PRESAPPROVAL..sub.t] 0.1365 ([dagger]) 0.1237 ([dagger])
(2.07) (1.86)
[DELTA]ln -0.4157 * (-2.44) -0.4013 * (-2.68)
[(SREPVOTE).sub.t-1]
[DELTA]ln
[(MFCOST).sub.t-1]
[SENATEGROUP.sub.1] 0.0749 * (2.23) 0.0727 ([dagger])
(2.09)
[SENATEGROUP2.sub.t] 0.0258 (0.72) 0.0114 (0.32)
Adjusted [R.sup.2] .690 .667
LM(1) 2.09 4.25 *
LM(2) 6.50 * 4.72 ([dagger])
Q(12) 15.87 15.95
Error Correction Term
Variable Model 5 Model 6
Constant
[EC.sub.t-1] 1.6481 ** (-5.40) -1.3565 ** (-3.82
[MIDTERM.sub.t] -0.03441 (-1.76)
[REALINCOME.sub.t] 0.0031 (0.83)
[WATERGATE.sub.t]
[PRESAPPROVAL..sub.t]
[DELTA]ln 0.1872 (1.05) 0.1962 (0.97)
[(SREPVOTE).sub.t-1]
[DELTA]ln -0.5310 (-1.51) -0.5713 (-1.41)
[(MFCOST).sub.t-1]
[SENATEGROUP.sub.1] 0.0693 ** (3.51) 0.0679 ** (3.44)
[SENATEGROUP2.sub.t] 0.0373 (1.56) 0.0198 (0.80)
Adjusted [R.sup.2] .752 .753
LM(1) 0.09 1.78
LM(2) 0.32 4.27
Q(12) 9.96 11.51
Error Correction Term
Variable Model 7 Model 8
Constant
[EC.sub.t-1] -1.1521 ** (-3.94) -1.1982 ** (-4.17)
[MIDTERM.sub.t] -0.0374 * (-2.06) -0.0441 * (-2.72)
[REALINCOME.sub.t] 0.0001 (0.02)
[WATERGATE.sub.t] -0.0877 (-1.47)
[PRESAPPROVAL..sub.t] 0.0853 ** (3.47) 0.1023 ** (3.75)
[DELTA]ln 0.0904 (0.49) 0.0689 (0.41)
[(SREPVOTE).sub.t-1]
[DELTA]ln -0.4124 (-1.15) -0.3999 (-1.13)
[(MFCOST).sub.t-1]
[SENATEGROUP.sub.1] 0.0604 ([dagger]) 0.0533 ([dagger])
(2.07) (1.82)
[SENATEGROUP2.sub.t] 0.0283 (0.95) 0.0188 (0.65)
Adjusted [R.sup.2] .789 .790
LM(1) 0.02 0.56
LM(2) 0.38 0.91
Q(12) 7.58 10.55
Notes: t Statistics are in parentheses. EC terms are based on VECMs
that jointly estimate long-run and short-run relationships, where
the long-run relationship involves ln(SREPVOTE) and ln(MFCOST).
*, **, and ([dagger]) denote significance at the 95%, 99%, and 90%
levels, respectively.