Do drinkers know when to say when? An empirical analysis of drunk driving.
Mullahy, John ; Sindelar, Jody L.
Drunkenness, for example, in ordinary cases, is not a fit subject for
legislative interference; but I should deem it perfectly legitimate that
a person, who had once been convicted of any act of violence to others
under the influence of drink, should be placed under a special legal
restriction, personal to himself; that if he were afterwards found
drunk, he should be liable to a penalty, and that if and when in that
state he committed another offence, the punishment to which he would be
liable for that other offence should be increased in severity.
John Stuart Mill, On Liberty
I. INTRODUCTION
It is estimated that about 40 percent of the U.S. population will be
involved in an alcohol-related traffic accident sometime during their
lifetime, according to Vegega and Klein [1990]. Traffic accidents are
the leading cause of death in the U.S. for persons aged one to
thirty-four, and during 1989, approximately one-half of the 45,555
traffic fatalities in the U.S. were estimated to be alcohol-related.
It is clear that the negative externalities drunk drivers impose on
others account for a large part of the interest in reducing drunk
driving. The enormous social interest in reducing the adverse
consequences of drunk driving is apparent in the mass media as well as
in the scholarly literature in economics and other disciplines.(1)
Reducing drunk driving and its attendant social costs is a widely
articulated goal of public policies and of groups like MADD and SADD as
well as major insurance companies.
Public policies have, in large measure, adopted the economic view
that a more stringent penalty structure, by increasing the expected
"full price" of drunk driving, should reduce drunk driving and
its attendant externalities. Such policies include license revocation,
fines, and imprisonment as well as strategies to increase the social
stigma attached to drunk driving, the costs of purchasing alcoholic
beverages, and the awareness of these costs.
The objective of this paper is to analyze the determinants of drunk
driving behavior from an economic perspective.(2) Our interest is in the
roles of key sociodemographic factors (e.g., schooling, family
structure, race, sex, etc.) and various public policies directly or
indirectly oriented toward reducing drunk driving behavior. By
characterizing such behavior as an economic choice, we describe a
"demand for drunk driving" and empirically estimate its
determinants. To this end, we utilize data from the 1988 National Health
Interview Survey, which surveys individuals about "driving after
drinking too much." Such individual data provide what we feel is an
interesting alternative to the state-level data often used to analyze
drunk driving by, for example, Chaloupka, Grossman, and Saffer
[1993].(3) Our empirical results largely confirm the major conclusion of
studies that have used state-level data with respect to driving while
intoxicated (DWI): the demand for drunk driving is negatively related to
its full price.
This paper proceeds as follows. Section II presents a conceptual
model of an individual's decision to drive drunk. Section III
describes the data. Section IV presents estimates of the determinants of
individuals' propensities to "drive after drinking too
much." Section V summarizes our results. The appendix discusses
possible reporting biases in drunk driving behavior and their
implications for inferences.
II. CONCEPTUAL BACKGROUND
Becker [1968] revolutionized social scientists' thinking about
criminal behavior by suggesting that even the decision to engage in
illegal behavior is likely to be based on a rational comparison of
expected marginal costs and benefits. The expected "full
price" of such illegal or criminal behavior is posited to be
negatively related to this behavior. The full price depends on the
pecuniary and psychic costs relating to crime. It is in this
intellectual tradition that we undertake an analysis of the economic
determinants of drunk driving qua illegal behavior.
The structure of the criminal justice system thus affects, in part,
the decision to drive drunk. The probability of apprehension and
conviction as well as the severity of the penalties (e.g., fines and/or
prison sentences) affect the decision to drive drunk. In addition,
social norms, as described by Coleman [1990], that establish acceptable
social behavior, proscribe certain activities (e.g., drunk driving), and
affect psychic costs of deviating from the norms, influence driving
while intoxicated. Personal characteristics may also affect the full
price and thus the decision to drive drunk. For example, the relevant
social norms as well as the impact of the stigma may depend on
one's education, race, and gender.
The following simple consumer choice model suggests the basic
economic elements of our empirical analysis.(4) An individual is assumed
to have preferences representable by a utility function
(1) U = U(DD, S, X; Z),
whose arguments are driving while drunk (DD), the
"services" provided by the use of alcoholic beverages (S), a
Hicksian composite commodity (X), and a vector of household and
individual characteristics (Z). This formulation of the
individual's maximand follows Lancaster [1966] and Becker [1965] in
specifying produced commodities as the ultimate source of consumer
satisfaction. Goods, services, and time are the inputs that produce the
commodities. Demands for the inputs are derived from the demands for
these commodities.
The marginal utility of DD, driving while drunk, could be either
positive or negative; for instance, some may consider drunk driving an
unwelcome component of otherwise desirable activities (e.g., drinking
with friends at a bar) while others may derive direct satisfaction from
the process of drunk driving (e.g., a joy ride). The marginal utility of
S, the "service" provided by alcohol, is likely to be positive
or zero. The commodities DD and S are not purchased in the market, but
rather are jointly produced according to some (perhaps complex)
transformation function
(2) T(DD, S, A, DR; Z) = O,
where the level of consumption of alcoholic beverages (A) and time
spent driving a motor vehicle (DR) are "inputs" and drunk
driving (DD) and intoxication (S) are the "outputs."
The individual is assumed to exhaust his or her monetary budget (B)
by expenditures on alcohol consumption, driving, and other commodities
(A, DR, X), and any financial penalties that are associated with drunk
driving. The prices of these variables are given by [P.sub.X],
[P.sub.A],(5) and [P.sub.DR].(6) The expected full price of one unit of
drunk driving is [[Pi].sub.DD], whose level is determined by, among
other things, the dollar value of fines, the probability of apprehension
and conviction, and the social stigma and other psychic costs associated
with DWI arrests and convictions.
Consumer optimization results, among other things, in a reduced-form
choice function for drunk driving:
(3) DD = DD([P.sub.X], [P.sub.A], [P.sub.DR], [[Pi].sub.DD], B; Z),
which is a hybrid of preference and production relationships. The
empirical analysis reported below focuses on the decision to drive
drunk; this decision is considered to arise from individuals making
constrained choices while facing expected "full prices" for
different activities.
The probability of having an accident and getting injured, and state
drunk driving policies and their implementation, among other things,
affect the expected "full price" of drunk driving.(7)
Individuals' knowledge of these full prices can come from a variety
of sources, including one's own experience, experiences related by
others, and the media. Media coverage would include public service
announcements (e.g., "Friends don't let friends drive
drunk," "Know when to say when," etc.) as well as news
reports on the enactment of or changes in laws.
Ross [1982; 1990] has suggested that knowledge of laws and penalties
is heightened when changes in laws are made. Considerable media coverage
of the political process and debate typically accompany changes in laws,
as do public service announcements to inform the population of the
changes. Ross has hypothesized, and empirically confirmed to some
degree, that changes in laws have a greater deterrent effect than the
mere existence of laws, presumably because the changes shock
individuals' information sets.(8)
III. DATA: 1988 NATIONAL HEALTH INTERVIEW SURVEY
The 1988 National Health Interview Survey, a stratified, multi-stage
probability sample of the U.S. population, supplied the data used in
this study.(9) The 1988 National Health Interview Survey includes a
detailed Alcohol Survey funded and structured by the National Institute
on Alcohol Abuse and Alcoholism. The Alcohol Survey obtained data from
over 43,000 individuals on drinking patterns, symptoms of alcoholism,
family history of problem drinking or alcoholism, as well as standard
socioeconomic and demographic data.
The Alcohol Survey asked each respondent considered a current drinker
if he or she had "driven a car after having too much to drink"
in the past year.(10) We used this information to form a binary driving
and drinking variable (i.e., DRIVE DRUNK = 1); 24 percent of male
drinkers and 12 percent of female drinkers reported having driven after
drinking too much over the previous twelve months.(11) It is important
to stress that the individuals surveyed determined what constitutes
"drinking too much." The appendix considers the implications
of such behavior being underreported.
Socioeconomic and demographic variables are hypothesized to affect
driving while intoxicated. Table I displays the definitions of these and
the drunk driving policy variables used in the empirical analysis; Table
II presents sample descriptive statistics. Our analyses are conducted on
current drinkers only.(12)
TABLE I
Variable Definitions
DRIVE DRUNK: In past twelve months, driven a car after
having had too much to drink (1/0 dummy
variable)
BEER TAX: State beer tax, in cents
FINE: Mandatory minimum fine, DWI conviction,
first offense, in dollars
REVOKE: Implied consent/mandatory licensing
revocation, first offense (1/0 dummy variable)
LAW CHANGE: 1 if any state law related to drunk driving
changed in past year, 0 else
APPARENT ETHANOL: State apparent ethanol consumption, per
capita
LIVED WITH ALCOHOLIC: 1 if lived with a problem drinker/alcoholic
during first eighteen years, 0 else
AGE: Age in years
WHITE: 1 if white, 0 else
MARRIED: 1 if married, 0 else
EDUCATION: Years of completed schooling
WORKS: 1 if main activity is working, 0 else
FAMILY SIZE: Size of family
VIETNAM VETERAN: 1 if Vietnam-era veteran, 0 else
Matching state-level data on beer taxes, apparent ethanol
consumption, and drunk driving-related regulations augmented the
individual level data. The variations in state policy instruments
designed to reduce the adverse effects of drunk driving allowed us to
explore empirically their effects on reported drunk driving.
On the basis of the hypotheses discussed at the end of section II,
the policy variables used in the econometric analysis are FINE, REVOKE,
and LAW CHANGE, defined in Table I.(13) The variable REVOKE comes from
the implied consent and mandatory minimum licensing action laws that can
result in a driver's license being suspended or revoked.(14) The
variable REVOKE indicates whether the state has greater than a
thirty-day minimum for the number of days a license is revoked for the
first offense. The variable FINE is the minimum mandatory pecuniary fine
that must be imposed after the first offense.(15)
TABLE II
Main Estimation Samples: Descriptive Statistics
Males (N = 6,865) Females (N = 7,934)
Variable Mean Min Max Mean Min
Max
DRIVE DRUNK(*) .245 0 1 .124 0 1
BEER TAX 15.7 2 81 15.4 2 81
FINE 121.6 0 575 120.7 0 575
REVOKE .227 0 1 .228 0 1
LAW CHANGE .180 0 1 .177 0 1
APPARENT ETHANOL 2.03 1.01 3.99 2.02 1.01 3.99
LIVED WITH ALCOHOLIC .175 0 1 .223 0 1
AGE 41.5 18 94 40.7 18 94
WHITE .862 0 1 .868 0 1
MARRIED .454 0 1 .464 0 1
EDUCATION 13.2 0 18 13.2 0 18
WORKS .740 0 1 .603 0 1
FAMILY SIZE 1.98 1 10 2.32 1 14
VIETNAM VETERAN .108 0 1 - - -
* The means for drunk driving by gender and race are as follows: .255 for
white males, .155 for nonwhite males, .060 for nonwhite females, and .131 for
white females.
The binary variable LAW CHANGE indicates whether any substantive
changes in the drunk driving laws occurred from 1987 to 1988. During
this period, ten states changed at least one law. Some states (Kansas,
for instance) implemented many changes between 1987 and 1988. Minimum
licensing sanctions were the most frequently changed laws, followed by
administrative per se laws.
Among our policy measures we also include the state excise tax on
beer (BEER TAX), which affects the full price of drinking and driving.
While not a policy designed to deter drunk driving, mounting evidence
suggests the beer tax may have important indirect effects on drunk
driving behavior as an inhibitor of consumption, particularly among
younger individuals, as documented in Grossman [1989], and Saffer and
Grossman [1987]. State per capita apparent consumption of ethanol
(APPARENT ETHANOL) is also used as a control variable on the assumption
that an individual's "alcohol consumption environment"
may have important effects on drunk driving.
IV. EMPIRICAL RESULTS
We report here estimates of the models of drunk driving propensity
(DRIVE DRUNK) with the objective of uncovering both the basic
sociodemographic and policy determinants of such reported behavior. The
models are estimated by probit regression for separate samples of males
and females, with the results presented in Table III.(16)
Column 1 displays the basic model's results for males. Here it
is seen that the estimated coefficients on three of the key policy
variables, FINE (the minimum mandatory fine for an offense), BEER TAX
(the state excise tax on beer), and REVOKE (mandatory license revocation
for a drunk driving offense), all have negative coefficients, suggesting
"downward-sloping demands" for drunk driving. That is, all
three policy instruments raise the expected full price of drunk driving.
All are significant by conventional standards;(17) the coefficients on
FINE, BEER TAX, and REVOKE are jointly significant at p[is less
than].0001 with a [[[Chi].sup.2].sub.(3)] statistic of 21.2. The
publicity effect of changes in legislation appears unimportant: the LAW
CHANGE coefficient estimate has the "wrong" sign, but is not
significant either in this model or in any of the others reported
below;(18) the APPARENT ETHANOL (per capita consumption of alcohol)
estimate has the expected sign, but it is also not significant in either
this specification or most other specifications estimated.(19)
The results for the sociodemographic variables for males, all of
which are significant at conventional levels, indicate that one's
age, martial status, family size and level of eduction are negatively
related to reported drunk driving, as would be expected. On the other
hand, being white, a Vietnam veteran, employed and living with an
alcoholic are positively related to drunk driving.(20) While theory
cannot lead to sharp predictions about the relationships between these
variables and the propensity to drive while drunk, all the estimated
signs seem reasonable. Living with an alcoholic, for example, may
increase the propensity to drive drunk by lessening the
individual's perception of the stigma attached to drunk driving.
Working may increase drunk driving by raising the "exposure,"
e.g., drinking on the way home from work.
Column 4 of Table III presents the corresponding results for females.
Despite the known different drinking patterns of males and females (and
the possibly different driving patterns), the point estimates of every
coefficient, except the constant, have the same signs as those in the
corresponding model for males. The point estimates of the coefficients
on drunk-driving fines and beer taxes are strikingly similar, albeit
less significant for females. The sociodemographic variables are all
significant again and are of the same sign and of reasonably similar
magnitude for females as for males.(21)
Given the significance of the white race coefficient estimate for
both males and females, we split the sample and estimated separate
models for nonwhites and whites.(22) These results are reported in
columns 2 and 3 of Table III for males and in columns 5 and 6 for
females. It is particularly interesting that, for both sexes, the point
estimates of the policy instruments beer taxes, license revocation, and
legislative changes in drunk driving laws are significant (or nearly so)
for nonwhites while for whites fines are also significant; license
revocation is significant for male whites also.
Among the sociodemographic variables, living with an alcoholic and
age are significantly related to drunk driving for TABULAR DATA OMITTED
both sexes and for whites and nonwhites alike; living with an alcoholic
makes one more likely to drive drunk whereas increasing age makes one
less likely to. Being a Vietnam veteran has a positive and significant
effect on males of both races. The remainder of the sociodemographic
variables are always significant for whites of each sex, but rarely
significant for nonwhites. The lower levels of significance for
nonwhites may be attributable to different underlying relationships or
to their smaller sample sizes in combination with their lower propensity
to drive drunk. Whites are nearly twice as likely to drive drunk as are
nonwhites.
V. SUMMARY
This paper has utilized a unique data set containing information on
self-reported drunk driving as well as other individual-level data. We
matched this data to various state-level driving while intoxicated (DWI)
policy instruments that both directly as well as indirectly (i.e., the
excise tax on beer) increase the expected "full price" of
drunk driving. Our estimates take advantage of data quite different from
the state-level data usually used in studies of the impact of driving
while intoxicated laws.
We show that socioeconomic and demographic variables as well as drunk
driving laws affect the decision to drive drunk. We find some evidence
that racial differences play a part in how some socio-economic and
demographic variables affect the decision to drive drunk. Furthermore,
although the effects of the policy variables are qualitatively similar
by sex, they differ in interesting ways by race.
Our results confirm others' findings that state-level policy
variables are significant in deterring drunk driving: the demand curve
for drunk driving is negatively sloped. Taken together, the evidence
from household surveys and state data provides a clearer understanding
of policy variables' impacts on drunk driving and gives
policymakers a clearer indication of the most effective policy
instruments in preventing drunk driving.
While results from state-level data have a potential for bias, our
results too must be viewed cautiously because the drunk driving is
self-reported. (See the appendix for a discussion of the potential for
self-reporting bias.) That the concept of downward sloping demand for
drunk driving depends to some degree on an individual's knowledge
of the full price of drunk driving provides another caveat to our
results. Individuals may have information gaps about the potential
social consequences of driving while intoxicated.(23) Whether policies
to reduce information failures may be productive in deterring drunk
driving may be a productive line of future research.
APPENDIX
Implications of Potential Reporting Bias
Drunk driving, like many behaviors such as tobacco use, welfare
receipt, etc., may be socially stigmatized. Thus it is certainly
plausible that individuals may misreport their drunk driving behavior.
We sketch a simple model that describes the propensity to report
"driving after drinking too much" and suggest some
implications of such potential underreporting for our empirical results.
Define [y.sub.D] to be the binary variable indicating whether or not
the individual actually believed he "drove after drinking too
much" and [y.sub.R] to be the binary variable indicating whether
the individual reports "driving after drinking too much." The
variables [y.sub.D] and [y.sub.R] will have some joint distribution in
the population, for which the probability of an individual reporting
that he did not drive after drinking too much is
(A1) PR([y.sub.R] = 0) =
PR([y.sub.R] = 0 [where] [y.sub.D] = 0)Pr([y.sub.D] = 0)
+ Pr([y.sub.R] = 0 [where] [y.sub.D] = 1)[1 - Pr([y.sub.D] = 0)].
The econometric analysis and subsequent interpretation of results for
purposes of policy formulation would be simplified greatly if
Pr([y.sub.R] = 0 [where] [y.sub.D] = 1) = 0, i.e., people were
completely honest in their reporting. Clearly, this cannot be
maintained, however. It might be reasonable to maintain that
Pr([y.sub.R] = 0 [where] [y.sub.D] = 0) = 1, i.e., if an individual does
not drive after drinking too much, then he will not report having done
so. This would give
(A2) Pr([y.sub.R] = 0) = Pr([y.sub.D] = 0)
+ Pr([y.sub.R] = 0 [where] [y.sub.D] = 1)[1 - Pr([y.sub.D] = 0)],
the sum of the true effect whose determinants would be of primary
interest (the first term) and what might be thought of as the biased
reporting effect that results from stigma or whatever (the second term).
The data contain information only on [Y.sub.R], reported drunk driving,
so that all one can hope to identify is the sum of the two
right-hand-side terms.
It is interesting to speculate as to how any determinant of these two
effects might affect the probabilities in equation (A2). For instance,
consider some policy instrument x (e.g., severity of drunk driving
punishment) that is likely to have a positive effect on the probability
of driving drunk: Pr([y.sub.D] = 0), i.e., [Delta]Pr([y.sub.D] = 0) /
[Delta]x [is greater than] 0. It is plausible that the magnitude of such
a policy instrument may also affect the probability of reporting having
driven drunk, given that one has done so, Pr([y.sub.R] = 0 [where]
[y.sub.D] = 1), and do so in the same direction, i.e.,
[Delta]Pr([y.sub.R] = 0 [where] [y.sub.D] = 1) / [Delta]x [is greater
than] 0. Individuals residing in states with strict drunk driving
penalties may, for example, have lower drunk driving propensities and
sense a greater stigma against driving while intoxicated; they may
therefore, be relatively less likely to report engaging in such
behaviors.
If true, then estimates of a model of reported drunk driving,
Pr([y.sub.R] = 0), would yield estimates of
(A3) [Delta]Pr([y.sub.R] = 0) / [Delta]x =
[1 - Pr([y.sub.D] = 0)] x [[Delta]Pr([y.sub.R] = 0 [where] [y.sub.D]
= 1) / [Delta]x]
+ [1 - Pr([y.sub.R] = 0 [where] [y.sub.D] = 1)] x
[[Delta]Pr([y.sub.D] = 0) / [Delta]x]
where both right-hand-side terms would have the same sign since
Pr([center dot]) [is less than] 1. Thus, failure to reject a null
hypothesis like [Delta]Pr([y.sub.R] = 0) / [Delta]x = 0 should give one
confidence that the policy effect of interest, [Delta]Pr([y.sub.D] = 0)
/ [Delta]x, is statistically unimportant. Conversely, rejecting a null
of [Delta]Pr([y.sub.R] = 0) / [Delta]x = 0 would suggest only that
either one or both of the effects are important, not which one(s).
There is, however, at least one additional source of potentially
important error. That is, regardless of what an individual reports to
the survey interviewer, just because he believes he has or has not
driven after drinking too much does not mean that the individual's
actual behavior is consistent with any "objective" standards
of driving after drinking too much (e.g., the blood alcohol content level). Moreover, one can certainly imagine that the discrepancy between
belief and "fact" may depend on sociodemographic factors as
well as policy instruments; e.g., a media blitz about new state DWI laws
enhances awareness of the causes and effects of drunk driving.(24) This
kind of error may well introduce biases that work in an opposite
direction from the "stigma" biases discussed above, thus
confounding further the results interpretation.
12. From the set of current drinkers, we selected only those who
responded to the questionnaire themselves; that is, we eliminated those
who had proxy household members respond for them for any part of the
questionnaire. Seventy-six percent of the Alcohol Survey respondents
self-reported to the entire supplement; 74 percent of current drinkers
self-reported entirely (65 percent of the males and 84 percent of the
females). After observations with key data missing were deleted, the
resulting sample included 6,865 males and 7,934 females.
13. The tax and apparent consumption data come from Public Revenues
from Alcohol Beverages: 1988, published by the Distilled Spirits Council
of the U.S. The drunk driving regulation data are from Digest of State
Alcohol-Highway Safety Related Legislation, published by the National
Highway Traffic Safety Administration (NHTSA), and refer to laws as of
January 1989 (i.e., laws in place in 1988). A detailed description of
key variables from the NHTSA dataset is available upon request from the
authors. Under an agreement with the National Center for Health
Statistics, these data were matched to approximately 95 percent of the
individual Health Interview Survey observations.
14. Implied consent laws presume that by acquiring a driver's
license from the state, the driver has implicitly agreed to be
chemically tested for alcohol (or drugs) by the police or else will have
his/her license revoked or suspended. As of January 1989, thirty-nine
states had laws that set the minimum number of days that an
individual's license would be revoked or suspended upon first
refusal to submit to a police test. More states had minimums for the
second refusal and the penalties are typically more severe for the
second refusal.
15. Fines typically increase after the first offense. These minimum
mandatory sanctions are established by legislation and cannot be reduced
by court discretion.
16. Income variables were included in some preliminary runs, but were
never found to be significant. The results reported here exclude income,
but interested readers can obtain the preliminary results upon request.
17. Following the suggestion of a referee, we found that the
coefficient of the beer tax variable increased in both absolute value
and significance when per capita consumption was omitted. This could
occur because of the negative correlation between beer taxes and per
capita consumption. Results are available upon request from the authors.
18. For the full sample results for both males and females, the
failure to reject the null hypothesis that the [[Beta].sub.j] on the LAW
CHANGE variable is zero begs the question about the power of the
asymptotic t-test used to draw such an inference. Recently, Andrews
[1989] has proposed a methodology that facilitates power calculations.
One interesting question is how large is the interval of the true
parameter (say [Theta]) such that the t-test used to test the null
[H.sub.0]:[Theta] = 0 (at significance level [Alpha]) is just as likely
to accept the null as to reject it. In the context of the LAW CHANGE
estimates [Mathematical Expression Omitted] for males and [Mathematical
Expression Omitted] for females; the formulae presented by Andrews
indicate that for any true [[Beta].sub.j] in the interval [-.104, .104]
for males or [-.116, .116] for females the data are such that there is a
50-50 chance that a two-sided test with significance level [Alpha] = .05
will fail to reject the null hypothesis [H.sub.0]:[[Beta].sub.j] = 0.
Thus, true parameters having potentially significant magnitudes can
easily fail to be "uncovered" by the standard t-tests
conducted here.
19. Given the large number of state-level drunk driving regulations
available in the National Highway Traffic Safety dataset, it is surely
apparent to the reader that the specifications reported in Table III
(that use three such measures) are not the first and only specifications
we imagined estimating. Nonetheless, while we confess to some
specification searching, we might note that the search was more along
the lines of an "include the kitchen sink then use a 'rolling
F-statistic' to eliminate insignificant variables" search than
it was a "consider all estimable combinations of the policy
variables and report only the results that conform with priors"
search.
20. See Browning and Meghir [1991] for an interesting discussion of
the use of labor supply variables as explanatory variables in commodity
demand functions. For analyses of the alcoholism/labor market
connection, see Mullahy and Sindelar [1989; 1991; 1993].
21. Given the similarity of the results for males and females, our
concern that the results spurious is lessened to some degree. However,
in both cases the results may still be fragile in that influential
observations may be exerting disproportionate influence on the parameter
estimates. To assess this possibility, we reestimated each model as a
linear probability model using OLS and conducted a DFBETAS analysis for
both males and females on the beer tax and fines variables using the
statistical package STATA's dbeta proc (the DFBETAS for license
revocation were quite similar insofar as identification of influential
observation(s) is concerned). While the OLS results do not necessarily
guarantee anything about the probit results, it would be surprising if
qualitatively different conclusions emerged in the probit estimates.
This analysis showed that one observation in the males' sample
and two observations in the females' sample were potentially
influential observations. Positive DFBETAS for each suggest that the
point estimate will decrease if the observation is deleted. We thus
anticipate that these influential observations would dampen, not
inflate, the estimated magnitudes of the key policy variables.
Accordingly, the probit models of columns 1 and 4 were reestimated with
these observations deleted. The absolute magnitudes of the fines, beer
taxes, and license revocation estimates did, indeed, increase with these
observations deleted, with beer taxes now significant for males and
nearly so for females:
Males Females
Original Outlier(s) Original Outlier(s)
Result Removed Result Removed
FINE -0.00039 -0.00042 -0.00037 -0.00041
(3.270) (3.461) (2.743) (3.043)
BEER TAX -0.0029 -0.0034 -0.0024 -0.0033
(1.922) (2.190) (1.438) (1.873)
REVOKE
LICENSE -0.1549 -0.1615 -0.0576 -0.0604
(3.357) (3.488) (1.110) (1.329)
The other estimates are largely unaffected by this exercise.
1. A brief list of some of the economics literature would include
Chaloupka et al. [1993], Cook [1991], Kenkel [1993a; 1993b], Manning et
al. [1989], Phelps [1987; 1988; 1990], Pogue and Sgontz [1989], and
Wilkinson [1987]. See USDHHS [1990] for an overview and additional
references.
2. It should be noted that the "driving" considered here is
land-based motor vehicle driving. We do not consider the interesting
phenomena of drunk driving on the water (recall the Exxon Valdez disaster), on the rails (recall the New York City subway calamity), or
in the air (recall the recent case of the Northwest Airlines pilots;
also, see Modell and Mountz [1990]).
3. State-level and individual sources of data are distinctly
different, each having strengths and biases. Individuals are likely to
underreport their drunk driving in household surveys, as discussed
further in the appendix. In contrast, state-level data on drunk driving
are recorded only when drunk driving results in a fatality; thus, a
large portion of drunk driving is missed, because only a small
percentage of such behavior ends in a fatality. Our data thus offer an
alternative source and type of information to that economists typically
use to analyze such phenomena.
4. Kenkel [1993a] provides a detailed discussion of why it is
fruitful to examine the phenomenon of drunk driving from the perspective
of two choice margins: the demand for alcohol and the demand for driving
while under the influence of alcohol. Since timing and the interplay
between drinking and driving play such important roles in the analysis
of drunk driving, a fairly elaborate model would have to be worked out
to accommodate these considerations. The framework described here should
be viewed simply as an approximation of such a detailed model.
5. If we were analyzing alcoholism itself, its addictive nature would
have to be considered, as in Michaels [1988]. Past and future prices of
alcoholic beverages, for example, might then be included, as in Becker
and Murphy [1988] and Becker, Grossman, and Murphy [1991]. However, the
concern here is with drunk driving, and both alcoholics and
non-alcoholics drive drunk.
6. The empirical analysis below ignores [P.sub.DR] due to lack of
data.
7. As pointed out by Jacobs [1989], the impact of these laws and the
associated penalties may be small relative to the bigger risk of an
accident and the attendant financial and health losses.
8. Cognitive dissonance theory, as discussed in Akerlof and Dickens
[1982] provides some basis for such a hypothesis. "Shocking"
individuals out of their "steady state" preconceptions is one
factor that motivates substantial behavioral changes. For a related
discussion, see Steele and Josephs [1990].
9. The National Health Interview Survey's core survey gathers
data on socioeconomic characteristics and health conditions for about
49,000 households, yielding approximately 150,000 individual
observations. One adult from each family was randomly selected to
receive the Alcohol Survey, resulting in 43,809 observations.
10. "Current drinker" is defined by the National Center for
Health Statistics as individuals who have had twelve or more drinks in
the past year. Of the sample of 43,809 individuals, about half are
current drinkers (11,727 males and 10,375 females).
11. As a basis of comparison, a 1977 Gallup poll asked two similar
questions of those who drove: (1) Do you ever drive after drinking
alcoholic beverages? (2) Have you ever driven when you thought that you
had too much to drink to drive safely? The percentages of those
questioned who responded positively are shown below by gender and
overall response rate:
Male Female All
1. Drink and Drive 48% 22% 36%
2. Drink Too Much
and Drive 26% 8% 18%
A similar set of questions asked in 1982 revealed that 40 percent of
those surveyed reported that they had consumed at least some alcohol and
then had driven, and 18 percent said they had driven after drinking too
much, as found in Gallup [1978, 1983].
JOHN MULLAHY, Associate Professor, Trinity College, National Bureau
of Economic Research and Resources for the Future
JODY L. SINDELAR, Associate Professor, Yale School of Public Health,
Institution for Social and Policy Studies, Yale University and National
Bureau of Economic Research.
22. The likelihood ratio test statistics for the null hypothesis that
all parameters (including the constant term) are the same for nonwhites
and whites are 76.98 for males and 114.64 for females. These test
statistics, distributed [[Chi].sup.2] under the null, with 13 and 12
degrees of freedom for males and females, respectively, are both highly
significant.
23. We produced some information relating to information failures.
Each NHIS respondent was asked subsequent to the question on drinking
and driving if he/she had "done things when drinking that would
have caused you to be hurt?" and "done things when drinking
that would have caused others to be hurt?" Current drinkers tend to
report that they drive after drinking too much more often than they
report that their drinking behavior might be harmful to themselves, and,
in turn, they report that their drinking behavior might be harmful to
themselves more frequently than they report that their drinking behavior
might be harmful to others. Only about one-half of those drinkers who
admit to driving after drinking too much also report that their drinking
behavior may result in harm to themselves, whereas only about 30 percent
of those drinkers who admit to driving after drinking too much also
report that their drinking behavior may result in harm to others.
24. See Kenkel (1993a) for a recent discussion.
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