The impact of the repeat-voting-habit persistence phenomenon on the probability of voting in presidential elections.
Cebula, Richard J. ; Durden, Garey C. ; Gaynor, Patricia E. 等
1. Introduction
The purpose of this study is to develop and test a probability
model of individual voting behavior under the assumption that, when
voting for the Office of the President, all potential voters are
affected at the margin by the expected costs and benefits of voting.
Additionally, some potential voters will have higher voting
probabilities that are independent of such considerations. These voters
may be independently motivated by external and/or internal factors that
are captured under the umbrella of what is referred to here as the
"repeat-voting-habit persistence phenomenon." The latter might
reasonably be interpreted so as to include the impact of "social
conditioning." According to Tollison and Willett (1973), unless
social conditioning is accounted for, empirical voting models will not
be completely specified and estimates of turnout on individual voting
probabilities will be biased. Specifically, Tollison and Willett (1973,
p. 61) argue that:
Where social conditioning has affected individuals' response
patterns in a significant manner, for instance, by instilling in
individuals a sense of duty to vote, then to be useful, explanatory
models must take this into account, even if this comes at the cost
of the disciplinary pureness of the resultant model.
Interestingly, some years after this work by Tollison and Willett
(1973), Knack (1992) provided a perspective and empirical findings that
seem to smoothly interface with the notion of social conditioning. In
particular, in the Knack study, voting is regarded as a collective
action problem, one that is overcome by means of solidarity and
purposive selective incentives. Specifically, Knack finds empirical
support for the hypothesis that enforcement of voting norms through
social sanctions significantly augments voter participation. Within this
framework, the decline in voter turnout in the United States in recent
decades is interpreted in terms of a weakening of social ties, which
adversely affects the socialization and enforcement of those norms
responsible for generating civic participation. The latter argument is
echoed frequently in the well-known nonempirical work of Putnam (2000,
pp. 31-3).
To date, very little empirical work has attempted to measure how
social conditioning, or a related pllenomenon such as that found in
Knack (1992), might influence general election voting behavior. One
exception is the recent study by Matsusaka and Palda (1999). Although
the primary focus of the Matsusaka and Palda (1999) study is the
relative lack of explanatory power for empirical voting models, the
effect of internal, unobserved factors on voting is briefly analyzed. A
basic assumption of Matsusaka and Palda (1999) is that individuals who
voted in a previous election have a higher probability of voting in a
current election. Underlying this assumption is a corollary, namely,
that consecutive-election voters are motivated by socially conditioned
internal factors that are not controlled for in standard Downs (1957)
rational interest models. To correct this shortcoming, the Matsusaka and
Palda (1999) model includes a dummy variable, whose value equals 1 if
the respondent voted in the immediately previous election and whose
value is 0 otherwise. The variable is always very statistically
significant, suggesting that consecutive-election voters are different
from those who are not consecutive-election voters.
The present study seeks to extend and refine the procedures
introduced by Matsusaka and Palda (1999). To begin with, we use data on
individual voting in two consecutive Presidential elections. Adopting
this data set, we then integrate the "repeat-voting-habit
persistence phenomenon" (or simply, REPVOTHAB) into the empirical
analysis. This hypothesis argues that a factor or variety of factors
such as (i) social conditioning and/or (ii) some logic-based or
education-based reasoning involving recognition of the need to vote in
order to preserve democracy and freedom and/or (iii) family-instilled
values or observed family voting behaviors, and/or (iv) perhaps even a
simple psychologically generated "habit" of
"mechanically" voting for President per se combine to result
in a situation in which those persons who have voted in a given
Presidential election are more likely to vote in the following one,
ceteris paribus. Furthermore, the present study empirically demonstrates
that, although the exact processes cannot be easily identified, the
REPVOTHAB phenomenon (which we argue does include social conditioning
and/or related phenomena) appears to systematically affect voting among
the respondents in the data sample. These results can be interpreted as
supporting the Tollison and Willett (1973) view (and presumably that of
Knack [1992]) that unless the repeat-voter-habit phenomenon (inclusive
of social conditioning) is accounted for, flawed estimates of voter
turnout and of individual voting probabilities will be the likely
result.
Section 2 of this study provides a brief survey of the related
empirical literature and establishes the basis for the variables used in
the empirical analysis. Data limitations prevent incorporation of all
previously used variables, but the most consistently statistically
significant influences are accounted for. In section 3, we modify the
rational voter model to include the repeat-voting-habit persistence
phenomenon. In section 4, we create a measure for the REPVOTHAB variable
and incorporate this variable into a regression using the overall sample
of those who were potential voters in 1984. In section 5, we stratify
the data and empirically demonstrate that white males who voted in the
1980 Presidential election had a much higher probability of voting in
1984 than those who did not vote in the 1980 Presidential election. This
is partly due to differences in mean values and in coefficient estimates
between the two subgroups. Using the decomposition technique developed
by Oaxaca (1973) and Blinder (1973) for use in wage and income
discrimination studies, we isolate those portions of the total
probability differential that are attributable to mean and coefficient
differences. After this adjustment, a substantial probability
differential remains. We attribute this probability differential to the
components of the REPVOTHAB phenomenon, which includes (among other
things) differing social conditioning and differing internal voting
motivations as between those who did and did not vote in the 1980
Presidential election. A summary of the results and their implications
are presented in section 6.
2. A Review of Empirical Studies of Voting Behavior
As Tullock (2006, p. 41) observes, since the modern introduction of
rational interest as a primary voting motivation (i.e., the rational
voter model [Downs 1957; Black 1958; Buchanan and Tullock 1962]),
general election voting has been extensively tested using a wide variety
of variables, methodologies, and data. The common assumption among these
studies is that politicians and constituents maximize a political
utility function, which incorporates both the expected costs and
expected benefits of voting. Empirical results are rather mixed, but the
Downs (1957) rational interest theory of voting is largely supported.
Early studies focused on the marginal effects of closeness, income,
age, race, gender, concurrent elections (such as in the Senate or House
of Representatives), and other factors on the probability that an
individual will or will not vote or that average voter turnout will
increase or decrease. Examples of important works include the study of
individual voting by Ashenfelter and Kelly (1975), cross-section studies
of turnout by Tollison and Willett (1973) and Silberman and Durden
(1975), and the excellent early survey paper by Foster (1984), which
summarizes the literature on empirical voting models up to that point.
An outstanding, somewhat more recent contribution to the individual
voting literature that is pertinent to the present study is that by
Knack (1992), as is summarized above.
Somewhat more recent work by Durden and Gaynor (1987) tried to
bring the empirical analysis up to date and to extend or refine the
basic model. Even more recent refinements and extensions include new
analyses of the following: (i) the effect of closeness on voter turnout
(Kirchgassner and Zu Himmern 1997; Grofman, Collett, and Griffin 1998;
Cebula 2001), with all three of these studies suggesting that closeness
is more influential than previously indicated; (ii) the determination of
how weather influences turnout, with Knack (1994) finding little or no
influence and no particular "bad weather benefit" to
Republicans; (iii) the impact of motor voting laws, where Knack (1995),
Franklin and Grier (1997), and Knack and White (1998) find strong
evidence that states with such laws experience larger turnout in both
voting and registration; (iv) the historical impact of voting
restrictions, with Heckelman (1995) finding that poll taxes and secret
balloting were very effective in preventing targeted groups from voting;
(v) reducing information costs, in which Matsusaka (1995) presents an
information-based theory, which successfully incorporates the standard
determinants from the Downs (1957) rational interest model and finds
that if information shows the candidate to be what the voter thinks he
(she) should be, then voter turnout increases; (vi) the low explanatory
power of most empirical voting models, and suggestions that better
results may require the identification of additional cost and benefit
variables, higher levels of aggregation, or time-series analysis
(Matsusaka and Palda 1999); and (vii) "expressive voting," in
which, according to Copeland and Laband (2002) and Cebula (2004), voting
allows voters to express their feelings/emotions on one or more issues
or candidates.
3. Incorporation of the Effects of the Repeat-Voting Habit
Phenomenon on the Internal Motivation to Vote
Some years ago, Riker and Ordeshook (1968) argued that since
perceived marginal costs are high and expected marginal benefits
relatively small, purely consumption and/or investment-based economic
motives do not sufficiently explain the act of voting. Distributed among
a voting population, then, there logically must exist a repeat-voting
habit, a phenomenon that includes a socially conditioned sense of civic
duty or sense of responsibility to vote or not vote (Tollison and
Willett 1973; Knack 1992). The socially conditioned or otherwise
enhanced voting proclivity may exist, and it apparently is more strongly
felt by some potential voters than others. These internal, unobserved
influences presumably affect individual voting choices in a way that is
independent of the rational voter model as it typically is interpreted.
Thus, REPVOTHAB is a complement to the rational voter model.
The rational voter model suggests that an individual will make the
voting decision after evaluating a cost-benefit ratio, such as:
P(EB)/C, (1)
where P is the probability that one's vote will determine an
election outcome, EB is a vector of expected consumption and investment
benefits to be forthcoming if the voter's candidate wins, and C is
the opportunity cost of voting, which may be interpreted to include lost
time and/or direct expenditures (gasoline, cab fare, lost wages). But
this specification is clearly insufficient because the probability that
one's vote will influence an outcome is extremely small even in
very close elections. Moreover, any thinking/circumspect voter will know
this to be true.
We suggest that an arguably more realistic expression of the
cost-benefit ratio is given by the following:
(P(EB) + IB)/C, (2)
where IB represents the internal benefits one obtains from the very
act of voting such that IB reflects all of the manifestations included
within the repeat-voting-habit persistence phenomenon as described
above. The magnitude of IB is not dependent upon the success or failure
of the voter's candidate but is determined, for each potential
voter, by the level of influence of the REPVOTHAB phenomenon, inclusive
of any socially conditioned internal motivation for that individual.
Given that (P(EB) + IB)/C provides a reasonable expression of the voting
cost-benefit ratio, if IB is sufficiently large, ceteris paribus, then
P(EB) can be inconsequential, and one will still vote and,
alternatively, if IB is small, one may abstain from voting.
The underlying assumption in this reasoning is that if internal
voting motivations differ, then potential voters can be stratified into
two classes. The first class includes those who appear to have a strong
inclination to vote because of the influence of (the strength of the
reaction to) the repeat-voter-habit persistence phenomenon and what it
encompasses, with instrumental and observable consumption-based factors
held constant, and the second class includes those who appear not to
possess this characteristic (i.e., to not be thusly influenced).
Estimation results from each of the subsamples may then be used to
compute voting probabilities to determine whether there are significant
differences. If there are, then further analysis can be performed
(Blinder 1973; Oaxaca 1973) to determine what portion of the total
probability of voting differentials may be attributed to differences in
variable means, variable coefficients, and "internal voting
motivations." Given the existence of differences in internal
motivations to vote (i.e., differential responsiveness to the REPVOTHAB
phenomenon), models that do not account for these motivations and the
resulting internal benefits, will produce biased voting probabilities
(Tollison and Willett 1973; Knack 1992) and lower levels of explanatory
power (Matsusaka and Palda 1999).
In the next section of this study, we create a measure of the
REPVOTHAB variable. In the subsequent section of the study, we provide
the empirical findings. In this empirical analysis, we stratify the
data, perform empirical analyses, and use the results to determine
whether two classes of potential voters in fact do exist. If so, then
the probability of voting between the two classes will differ and (using
the Oaxaca-Blinder decomposition technique mentioned earlier) this
differential can be separated into a portion due to mean differences and
a portion due to differences among coefficient estimates. We expect that
the decomposition procedure will leave a portion of the probability
differential unexplained and argue that this unexplained differential is
due to internal voting motivations reflected in the repeat-voting habit
persistence phenomenon. Given that this is a reasonable assumption, we
then create a measure for internal motivations and test this variable in
a regression that employs the full data set.
4. Creation of the REPVOTHAB Variable
The nature of the REPVOTHAB variable created for use in full sample
regressions warrants some explanation. For simplicity of exposition and
for consistency with the well-known related studies by Tollison and
Willett (1973) and Knack (1992), we may at times use the phrase
"social conditioning" interchangeably with the phrase
"REPVOTHAB phenomenon;" although, the latter is, in fact,
understood for purposes of this study to be realistically clearly more
inclusive in scope than "social conditioning." In other words,
the REPVOTHAB phenomenon is expressly represented as including a host of
potentially difficult-to-quantify although, easy-to-describe factors,
including social conditioning per se as presented in Tollison and
Willett (1973). That said, it is observed that the Matsusaka and Palda
(1999) study attempted to account for "social conditioning"
(which they label "citizen duty") by using a dummy variable
with value equal to 1 if the respondent voted in the previous election,
and a value equal to 0 otherwise. The variable is always highly
significant statistically but, because the same or similar influences
will have affected voting at the margin in both elections, this
technique may produce inaccurate results (Kau and Rubin 1979; Hird 1993;
Burkey and Durden 1998).
The latter three studies faced a problem very similar to the one
faced here. Each of the these works is concerned with accounting for
differences in Congressional voting patterns among legislators, which
were not captured by standard measures such as campaign contributions
and constituent characteristics. Specifically, they require a measure of
a given legislator's "own ideology," which can then be
incorporated into models for estimating the determinants of
Congressional voting on particular types of special interest
legislation. To properly measure a Congressperson's own ideology,
they required an ideology variable that has been purged of general
constituent and special interest influences. To create this variable,
ratings from such ideology-based organizations as the Americans for
Democratic Action and the League of Conservative Voters were regressed
on a set of independent variables that were designed to capture the
marginal effects of external influences on how a legislator is rated by
the various ideology-based groups. Given that external influences have
been controlled for, residuals from these equations are assumed to
measure the effect of a legislator's own internal ideological
leanings. For example, suppose that a legislator's expected score
by the League of Conservative Voters is low, but the actual score is
relatively high. Then the corresponding residual will also be high, and
this condition is taken to be evidence of an internally held
"own" ideological leaning. The internal ideology variables
thusly created turned out to be highly useful in empirical regressions
for all three studies, improving the estimation results and suggesting
that legislator preferences can be isolated and approximated.
Creation of the legislators' own ideology variable is
admittedly imperfect and subject to the criticism that what the variable
actually measures cannot be known with certainty. What the previous
studies did may be considered valid (or at least useful), however,
because the existence of an ideological leaning on certain issues seems
reasonable and because their use of the manufactured "own
ideology" variable improved the specification of their models. The
variable created and used here to measure the effects of internal
motivations is subject to similar concerns but also may be valid for
similar reasons. Specifically, it seems quite reasonable to believe that
there is a class of voters that is motivated not only by perceived costs
and benefits, but also by internal motivating factors (included under
the REPVOTHAB "umbrella"), which have been recognized but
never adequately accounted for in estimating models. As will be shown,
use of the internal motivation variable created here (REPVOTHAB) is
consistently significant and correctly signed, and appears to improve
model specification.
The procedure used in the Kau and Rubin (1979), Hird (1993), and
Burkey and Durden (1998) studies provides a blueprint for constructing
the measure of REPVOTHAB variable to be used here. A logit equation is
estimated, with the variable "Voted in 1980" equal to 1 if the
respondent voted in 1980 and "Voted in 1980" equal to 0
otherwise, treated as the dependent variable. Independent variables are
the same as those used in the stratified-data regressions, namely,
South, West, Standard Metropolitan Statistical Area (SMSA), Married,
North Central, High School education, College 3 years, College 4 years
or more, Government employment, home ownership (Home Owner), Income,
Age, and Unemployed.
The effects of the independent variables on the probability of
voting should be generally the same between the 1980 and 1984
Presidential elections. For example, if education increases, the effect
is expected to be positive with respect to both. However, one potential
drawback is that individuals in the sample will not have maintained
exactly the same socioeconomic characteristics. Some respondents may
have more education, higher income, become married or divorced, retired,
and so forth. These problems cannot be entirely eliminated but, since
the 198-1984 time period is relatively short, the probability of
substantial bias would seem modest. We have attempted nevertheless to
lessen biases by restricting the data set to those individuals who are
aged 25-65 in 1984 (21-61 in 1980). The sample thus includes for both
years only primarily nonretired persons, and persons with a four-year
college education potential.
5. Formal Empirical Analysis
In this section of the study, in Tables 2, 3a, and 3b, we provide
the results of four logit regressions. All four empirical estimations
are based on a sample of white males who were potential voters in the
1984 Presidential election. These data were obtained from the U.S.
Census Bureau (1984). Although not provided here in order to save
considerable space and in order to focus more directly on the
measurement of self-interest and the repeat-voter-habit phenomenon
variable, the findings for females are entirely consistent with those
for males. Unfortunately, we were unable to find Census Bureau surveys
for more recent Presidential elections than that for 1984, which
included the critical question of whether the individual voted in the
previous Presidential election; therefore, the data for 1984 were
logically the best option to adopt in order to pursue the goals of this
study. In any event, the explanatory variables adopted (see Table 1 for
precise definitions of the explanatory variables) are similar to those
employed in a great many studies and have been justified in a range of
published works (see the literature listed in the References of this
study).
Table 2, columns 2 and 3, is a regression using the full sample and
with the value of the dependent variable equal to 1 if the respondent
voted in 1980, and equal to 0 otherwise. This estimate provides the
residual values for the REPVOTHAB variable and is the means by which, in
principle following the procedure in Kau and Rubin (1979), Hird (1993),
and Burkey and Durden (1998), we attempt to capture the effect of
unmeasured internal influences on individual voting behavior (i.e., the
factors impounded in the repeat-voting-habit persistence phenomenon
variable, inclusive of social conditioning). Table 2, columns 4 and 5,
is a regression of the full sample that includes the REPVOTHAB variable.
The dependent variable is again dichotomous with a value of 1 if the
respondent voted in 1984, and a value equal to 0 otherwise. To obtain
the results shown in Tables 3a and 3b, data are stratified into two
subsamples of white males who were potential voters in 1984. The first
subsample (results shown in Table 3a) consists of white males who did
not vote in 1980, and the second subsample (results shown in Table 3b)
consists of those who did vote in 1980. This framework in Tables 3a and
3b allows us to compare relative influences of socioeconomic conditions
on the two groups to determine whether they are different and, if so, to
attempt to measure the nature and extent of those differences in terms
of relative probabilities of voting.
Based on the Downs (1957) rational voter model, our expectation is
that the probability of voting in 1984 will be affected (at the margins)
by perceived costs and benefits for all variations of the empirical
model and that this will be demonstrated via the four regressions
summarized. Further, our purpose is to identify any evidence that
strongly suggests that there is a measurable difference in the
probability of voting in 1984 for those who are known to have voted in
1980 versus those who are known to have not voted in 1980. This higher
voting probability would derive at least partly, we believe, from the
components of the repeat-voting-habit persistence phenomenon, which we
argue includes socially conditioned, internally felt motivations.
We now discuss generally the results of the regressions, focusing
on the reliability of the REPVOTHAB variable, differences in marginal
influences of socioeconomic conditions between those who are consecutive
voters and those who are not, and on measurement of the differences in
the probability of voting between consecutive and nonconsecutive voters.
There are no surprises with respect to the influences of the most
important commonly used independent variables. In the estimations in
Table 2, being a homeowner increases the probability of voting, as do
age, income, government employment, higher levels of educational
attainment (High School, College 3, and College 4), residence in the
North Central region, and status as married. In both estimates, being
unemployed and residence in the South both exercise negative effects on
voter turnout. SMSA location exercises a negative impact on voter
turnout according to Table 2, columns 2 and 3, but although negative, it
is not quite significant at the 10% level in Table 2, columns 4 and 5.
West region location is insignificant in Table 2.
The variable of primary interest in this study is the REPVOTHAB
variable. As shown in columns 4 and 5 of Table 2, the estimated
coefficient on the REPVOTHAB is positive and statistically significant
at far beyond the 1% level. Indeed, the t-statistic on this variable is
by far the highest of any in the estimates, +35.2. This result suggests,
as hypothesized in the present study, that the components of the
REPVOTHAB phenomenon are very powerful motivators for voter
participation. Accordingly, it is clear that models are incomplete when
they do not control for internal expressive motivations included under
the REPVOTHAB umbrella (i.e., for motives such as social conditioning,
which are not directly associated with costs and benefits as typically
considered).
To determine whether the means and coefficients are statistically
different between subsamples (those who did not vote in 1980 as compared
with those who did), we conducted z-tests for the means and Chow tests
for the coefficients. These results are provided in Tables 3a and 3b.
The z-tests suggest that respondents who voted in 1980 are more likely
to live in non-South regions, to be married and own their own homes, and
to have considerably more education, as compared with those who did not
vote in 1980. They are also on average older and more affluent. The Chow
tests involved creating a dummy variable with a value of 1 if the
respondent voted in 1980, and a value of 0 otherwise, and using this
dummy variable to create interaction terms for each variable in the
whole-sample estimation. The coefficients that appear to be
statistically different are indicated with an asterisk (*). The
comparisons of coefficients suggest that several are different at the 5%
significance level, including College 4+, Home Owner, Income, and Age,
as well as the intercept. The estimated coefficients on variables West,
Married, Government, and Unemployed appear different at the 10%
significance level.
We now compute probabilities for each equation, with the
expectation that there will be a significant difference between them. We
then use the Oaxaca-Blinder decomposition technique to see how much of
that differential is due to means, how much is due to coefficient
differences, and whether an unexplained portion remains that might
logically be attributable to REPVOTHAB motivations not accounted for by
costs and benefits as perceived by respondents and as proxied by the
specified set of independent variables.
The computation of probabilities is accomplished using the
following equation:
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]. (3)
In Equation (3), [b.sub.0] is the intercept, [b.sub.1], ...,
[b.sub.n], are the coefficients, and [x.sub.1], ..., [x.sub.n] is the
vector of independent variables. The respective probabilities are 0.693
for those who voted in 1980 and 0.306 for those who did not vote in
1980, a differential of 0.387. To determine the portion of this
differential that is due to differences in coefficients, one addresses
the following question: How much would the probability of voting in 1984
increase if the coefficients from the "did not vote in 1980"
equation were replaced with coefficients from the "did vote in
1980" equation, other things (means) equal? The answer is that the
probability estimate would increase from 0.306 to 0.353, so that the
portion that is due to coefficient differences is given by 0.353 - 0.306
= 0.047.
To determine the portion that is due to differences in means, the
question is: How much would the probability of voting in 1984 increase
if the means from the "did not vote in 1980" equation were
replaced with means from the "did vote in 1980 equation,"
other things (coefficients) equal? The answer here is that the
probability estimate would increase from 0.306 to 0.541, so that the
portion that is due to means differentials is given by 0.541 - 0.306 =
0.235. Together, coefficient and mean differences account for 0.047 +
0.235 = 0.282, or about 73% (=0.282/0.387) of the total probability
differential, leaving an unexplained residual of 0.105 or 27%
(=0.105/0.387).
These results imply that if the two subgroups were, in the
aggregate, exactly alike with respect both to average characteristics
and responses to marginal changes in explanatory variables, those who
did not vote in 1980 would have a mean voting probability of 0.588,
while those who did vote in 1980 would have a mean voting probability of
0.693. It seems logical and reasonable to then infer that the latter
group is very likely subject to the repeat-voting-habit persistence
phenomenon (inclusive of socially conditioned, internal motivations to
vote) and that this proclivity is demonstrated/manifested in the form of
consecutive Presidential-election cycle voting. If so, then models that
include consecutive and nonconsecutive voters but do not account for the
repeat-voting-habit persistence phenomenon will produce seriously biased
voting probability estimates.
6. Summary and Conclusions
This study extends the well-known rational voter model to include a
composite measure to capture the residual effects of internal,
psychological, and sociological motives not previously accounted for in
empirical studies of Presidential election voting. These motives are
captured in this study under the umbrella of the repeat-voting-habit
persistence phenomenon, which arguably includes "social
conditioning" (Tollison and Willett 1973; Knack 1992) or
"internal motivation" and may to at least some extent reflect
a sense of duty or sense of civic duty to vote, as well as a simple
"habit" of voting, among several other possible factors (refer
to the Introduction of this study). Estimations using U.S. Census Bureau
(1984) data from the 1984 Presidential elections suggest that previously
unmeasured internal motives, which we capture in a variable called REP
VOTHA B, may exert a powerful influence on individual voting behavior.
When the data are stratified into subsamples of those who exhibit the
REPVOTHAB motivation and those who do not, the mean voting probability
for the former is 0.693 and for the latter is 0.306. Of this
differential, .047 is due to differences in coefficients, and 0.235 is
due to differences in variable means (where 0.047 + 0.235 = 0.282 or 73%
of the entire differential). The balance of the differential is 0.105
(i.e., 27% of the entire differential), which reflects the impact of the
repeat-voting-habit persistence phenomenon (REPVOTHAB), which is argued
here to include "social conditioning" as considered in
Tollison and Willett (1973) and arguably in Knack (1992). These results
suggest that if REPVOTHAB is not accounted for, then the probability of
voting among those who do exhibit this characteristic will be
understated and the probability of voting will be overstated among those
who do not exhibit this characteristic.
Received April 2007; accepted November 2007.
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Richard J. Cebula, * Garey C. Durden, ([dagger]) and Patricia E.
Gaynor ([double dagger])
* Economics Department, Armstrong Atlantic State University, 11935
Abercorn Street, Savannah, GA 31419, USA; E-mail
richard.cebula@armstrong.edu; corresponding author.
([dagger]) Economics Department, Appalachian State University,
Boone, NC 28608, USA.
([double dagger]) Economics Department, Appalachian State
University, Boone, NC 28608, USA. The authors are indebted to the editor
and two referees whose suggestions greatly improved this study.
Table 1. The Independent Variables
1. Age: Categorical age groupings used in regressions: 25-31 = 1; 32
38 = 2; 39-45 = 3; 46-52 = 4; 53-59 = 5; 60-65 = 6.
2. Income: a categorical variable for family income levels: 1-14.
3. Education: Dummies = 1, = 0 otherwise for high school, college
1-3 years, college 4+ years.
4. Married: Dummy = 1, = 0 otherwise.
5. Own home: Dummy -- 1, = 0 otherwise, a measure of wealth.
6. Unemployed: Dummy = 1, = 0 otherwise.
7. Government: Dummy = 1 if employed by government, = 0 otherwise.
8. SMSA: Dummy = 1 if residing in an SMSA, = 0 otherwise.
9. Region: Dummies: South = 1, = 0 otherwise; West = 1, =
0 otherwise; North Central = 1, = 0 otherwise; reference =
Northeast.
10. REPVOTHAB: residuals from the weighted voted in the 1980 regression
equation, as a measure of internal motivation, social conditioning,
habit persistence, and/or other internal factors influencing
voting.
Table 2. Determinants of Voting in 1980 and 1984
1980 1984
Variable Coefficient t-Value Coefficient t-Value
South -0.0911 -2.22 ** -0.2171 -4.38 ***
West 0.0036 0.08 0.0134 0.26
SMSA -0.1418 -4.68 *** -0.0596 -1.65 *
Married 0.3442 8.98 *** 0.2999 6.86 ***
North Central 0.2446 5.78 *** 0.2333 4.62 ***
High school 0.7412 15.22 *** 0.8750 15.90 ***
College 3 1.3249 21.03 *** 1.5516 22.49 ***
College 4 1.9586 27.40 *** 2.3287 29.16 ***
Government 0.5139 10.10 *** 0.6660 10.91 ***
Own home 0.4506 12.01 *** 0.7788 14.71 ***
Income 0.0675 13.78 *** 0.0715 12.31 ***
Age 0.3502 26.71 *** 0.3384 21.99 ***
Unemployed -0.1518 -2.20 ** -0.3010 -3.54 ***
REPVOTHAB -- -- 0.6646 35.20 ***
Intercept -2.5864 -14.93 *** -2.9066 -6.28 ***
DF 8907 11564
% CC (a) 70.6 79.0
(a) Percent correctly classified.
*, **, and *** indicate statistical significance at the 10%, 5%,
and 1% levels, respectively.
Table 3a. Subsample of Respondents Who Did Not Vote in 1980
Variable Coefficient t-Value Mean SD z-Test
South -0.0847 * -1.16 0.28 0.45 -3.80 *
West 0.1203 * 1.54 0.24 0.43 2.56 *
SMSA -0.0292 -0.55 0.54 0.50 -1.11
Married 0.0401 * 0.68 0.64 0.48 5.93 *
North Central 0.1028 1.33 0.23 0.42 2.59 *
High school 0.4308 3.82 *** 0.35 0.48 -8.46 *
College 3 0.9255 5.51 *** 0.20 0.40 2.72 *
College 4+ 1.6025 * 7.61 *** 0.17 0.38 22.28 *
Government 0.2989 * 3.17 *** 0.12 0.32 16.88 *
Own home 0.1991 * 3.32 *** 0.59 0.49 9.28 *
Income 0.0348 3.55 *** 6.03 3.85 12.90 *
Age 0.0474 * 2.64 *** 3.73 1.62 9.54 *
Unemployed -0.0554 * -0.49 0.10 0.31 -6.22 *
Intercept -2.2142 * -5.73 ***
DF 4698
% CC (a) 70
(a) Percent correctly classified.
* indicates a 10% or better level of statistical significance for
differences in coefficients and means (z-test values). ** and
*** indicate statistical significance at the 5% and 1% levels,
respectively, with respect to the t-values.
Table 3b. Subsample of Respondents Who Did Vote in 1980
Variable Coefficient t-Value Mean SD z-Test
South -0.2537 * -2.87 *** 0.25 0.43 -3.80 *
West -0.0547 * -0.59 0.26 0.44 2.56 *
SMSA -0.0599 -0.09 0.53 0.50 -1.11
Married 0.2754 * 3.12 *** 0.69 0.46 5.93 *
North Central 0.1928 2.15 ** 0.25 0.43 2.59 *
High school 0.6691 6.11 *** 0.28 0.45 -8.46 *
College 3 1.0490 7.99 *** 0.22 0.41 2.72 *
College 4+ 1.5621 * 10.89 *** 0.35 0.48 22.28 *
Government 0.6175 * 6.35 *** 0.24 0.42 16.88 *
Own home 1.0739 * 9.17 *** 0.67 0.47 9.28 *
Income 0.0491 4.79 *** 7.20 3.80 12.90 *
Age 0.3060 * 10.77 *** 4.18 1.69 9.54 *
Unemployed -0.5162 * 2.79 *** 0.07 0.26 -6.22 *
Intercept -2.7748 * -6.04 ***
DF 7661
% CC (a) 76.1
(a) Percent correctly classified.
* indicates a 10% or better level of statistical significance for
differences in coefficients and means (z-test values). ** and
*** indicate statistical significance at the 5% and 1% levels,
respectively, with respect to the t-values.