Campbell
Campbell
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THECONNECTICUT
CRACKDOWN
ON SPEEDING
Time-SeriesData in
Quasi-Experimental
Analysis
DONALDT. CAMPBELL
Northwestern University
and
H. LAURENCERoss
AUTHORS' NOTE: The preparation of this paper has been supported in part
by the National Science Foundation (Grant GS 1309x), the U. S. Ofice of
Education (Project C-998, Contract 3-20-001), the U. S. Bureau of Public
Roads (CPR 11-5981), the National Institutes of Health, the U. S. Public
Health Service (RG-5359), and the Automotive Safety Foundation (as
an aspect of Experimental Case Studies of Traffic Accidents conducted at
Northwestern University). A brief version of it appears as H. L. Ross &
D. T. Campbell, The Connecticut Speed Crackdown: A Study of the
Effects of Legal Change, in PERSPECTIVES ON THESOCIALORDER:READ-
INGSIN SOCIOLOGY 30-35 (2d ed. H. L. Ross ed. 1968).
.33 .
LAW AND SocIETYREVIEW
fact been a change, and that the indicated event is its cause. Illustrations
are manifold: a state terminatescapital punishment,and proponentsof
this type of punishmentpredict an increasein the murderrate; a school
is integrated,and supportersof the reformexpect to find an increase in
the positive self-evaluation of Negro pupils; a natural disaster occurs
in a community,and altruisticbehavioris expected to increase. Because
in these situationsthe investigatorhas no control over the assignmentof
individuals or groups to "experimental"and "control"situations, the
logic of the classical experiment must be reexamined in a search for
optimal interpretativeprocedures.
This paper introduces,in the context of a problem in applied soci-
ology and the sociology of law, a mode of analysisdesigned to deal with
a common class of situations in which research must proceed without
the benefitof experimentalcontrol. The generalmethodologyexpounded
here is termed "quasi-experimentalanalysis." The specific mode of
analysis is the "interruptedtime-seriesdesign." Perhaps its fundamental
credo is that lack of control and lack of randomizationare damaging to
inferences of cause and effect only to the extent that a systematic con-
sideration of alternative explanationsreveals some that are plausible.
More completeexplicationsof quasi-experimentalanalysishave appeared
elsewhere;1this paper will merely illustrateits use in a situation where
a series of observationshas been recordedfor periods of time both prior
and subsequent to the experience of the specific event to be studied.
Such data are quite commonlyavailable,yet they are seldom fully utilized
and investigators often confine themselves unnecessarily to much less
satisfactorymethodologies. The 1955 crackdownon speeding in the State
of Connecticut furnishes an apt example of the potentialities of such
quasi-experimentalanalysis.
.34
THE CONNECTICUT CRACKDOWN ON SPEEDING
. 35 ?
LAW AND SocITY REVIEW
positive proof that operators are not only driving slower, but are driving
better."
By late May, deaths had declined from 122 in 1955 to 107 in 1956.
Suspensions for speeding numbered 4,559, as against 209 in 1955. Speed-
ing arrests had dropped 53 per cent. The Governor received a telegram
of commendation for the program from the National Safety Council.
At the end of June there were twenty-two fewer fatalities than in the
first six months of 1955, representing a 15 per cent reduction. Suspen-
sions for speeding in the first six months of the year had risen from 231
to 5,398, and arrests had declined from 4,377 to 2,735. Ribicoff an-
nounced:
In July, a new State Police program, using unmarked police cars and
making extensive use of radar, was inaugurated. The police issued a
report stating that 2 per cent of the cars observed by radar on July 4
were found to be speeding; at a later date, it was claimed that no speeders
were found among 53,000 cars similarly observed.
In the late summer, however, Connecticut experienced a very high
number of traffic fatalities. By the beginning of September, 194 people
had been killed, a number almost equal to the 195 of the comparable
period in the previous year. The accident "epidemic" was embarrassing
to the authorities, who retreated to defending the speeding crackdown
on the grounds (a) that the fatality rate remained low in comparison
with the national trend, which showed a 7 per cent increase; (b) that
exposure to accidents in the State had increased by 100 million vehicle
miles without an increase in deaths; and (c) that the total accident rate
had risen, thereby lowering the proportion of fatal accidents to total
accidents.
Fatalities were fewer in the fall of 1956, and by the end of the year
Connecticut could count 284 deaths in traffic as against 324 in 1955. The
Governor stated, "With the saving of forty lives in 1955, a reduction of
12.3 per cent from the 1955 motor vehicle death toll, we can say the
program is definitely worthwhile."
* 36 ?
THE CONNECTICUT CRACKDOWN ON SPEEDING
ANALYSIS
QUASI-EXPEIMENTAL
Before-and-AfterMeasures
Trafficfatalities in Connecticut for 1956, compared with 1955, are
presentedin Figure 1. These are the data upon which GovernorRibicoff
relied in claiming success for the crackdownon speeding. Skillfullypre-
sented, such results can look impressive,but can also be fundamentally
misleading.
We can speak of the evidence presentedin Figure 1 as a quasi-experi-
ment: there is a "pretest"(the 1955 figures), an "experimentaltreatment"
(the crackdown),and a "posttest"(the 1956figures). A substantialchange
is noted which one would like to ascribeto the "experimentaltreatment."
In quasi-experimentalanalysisthis interpretationis held to be legitimate,
provided considerationis given to plausible rival explanations of the
differences,with supplementaryanalyses being added to eliminate these
where possible. In the language of quasi-experimentalanalysis,the data
of Figure 1 constitute a One-GroupPretest-PosttestDesign. This design
37.
LAW AND SOCIETYREVIEW
320 - \
\
310-\
\
300-
~~\
290 \
280 -
'T I.... I
BEFORE AFTER
CRACKDOWN CRACKDOWN
(1955) (1956)
Figure 1. ConnecticutTrafficFatalities, 1955-1956
fails to control for the six common threats to the validity of experiments
specified below:
1. History. This term denotes specific events, other than the experi-
mental treatment, occurring between the pretest and posttest, which might
account for the change. It furnishes a "rival hypothesis" to the experi-
mental hypothesis, a competing explanation of the before-to-after change
that must be eliminated as implausible, by one means or another, before
full credence can be given to the experimental hypothesis. For instance,
1956 might have been a particularly dry year, with fewer accidents due
38 .
THE CONNECTICUT CRACKDOWN ON SPEEDING
39 -
LAW AND SocmIEY REVIEW
4. Instability has not been singled out as a specific threat to validity in previous dis-
cussions of quasi-experimental design, although the discussion of tests of significance in
such situations has implied it. Tests of significance obviously do not provide "proof"
relevant to the many other sources of invalidity, but they are relevant to this one plausible
rival hypothesis even where randomization has not been used.
.40
THE CONNECMICUT
CRACKDOWNON SPEEDING
Interrupted Times-SeriesAnalysis
Figure 2 plots trafficfatalities for five years before and four years
after the crackdown. This mode of quasi-experimentalanalysishas been
labeled "InterruptedTime-Series"to distinguish it from the time-series
analysis of economics. In the latter, the exogenous variable to which
cause is imputed is a continuouslypresent variable,occurringin different
degrees. In the Interrupted Time-Series, the "causal"variable is ex-
amined as an event or change occurringat a single time, specified inde-
pendently of inspection of the data.
The Interrupted Time-Series design represents a use of the more
extensivedata which are often availableeven when only before-and-after
measures are reported. Some potential outcomes of such a time-series
analysis greatly reduce the plausibility of certain threats to validity. If
the preexposureseries shows but minor point-to-pointfluctuationsand
no trend anticipatinga big transtreatmentshift, then maturationmay not
be plausible, for in most instances the plausible maturationhypothesis
would have predicted shifts of the same order as the transtreatmentshift
in each of the pretreatmentstages. Reasonable models of the testing
effect would have the same implications. (In our instance, this would
be on conditionthat the annualfatality rates had been given equal pub-
licity.) The outcome in Figure 2 is not of this readily interpretablesort,
although the trend is perhaps generally upward prior to the treatment,
and steadily downward subsequently.
Judgmentsof the plausibilityof instrumentationeffects must be based
upon other than time-seriesdata. However, notice should be taken here
of a frequent unfortunateconfounding:the administrativereform which
is meant to produce a social change very frequently is accompaniedby
5. This issue is extremely complex. In ordinary correlation, the regression is tech-
nically toward the mean of the second variable, not to the mean of the selection
variable, if these means differ. In time-series, the regression is toward the general
trend-line, which may of course be upward or downward or unchanging. A more ex-
panded analysis of the regression problem in correlation across persons is contained in
Campbell & Clayton (1961) and in Campbell & Stanley (1963), both supra note 1.
.41 .
LAW AND SocIETY REVIEW
325
00 -
275
z
225- E
4
hi
200
-r I I . I I I
'51 '52 '53 '54 '55 '56 '57 '58 '59
*42 .
THE CONNECsICUTCRACKDOWNON SPEEDING
that the high figure of 1955 caused the crackdown,and hence it seems
much less likely that the crackdowncaused the low figure of 1956, for
such a drop would have been predicted on regression grounds in any
case.
The graphic presentation of the precrackdownyears provides evi-
dence of the general instability of the accidental death rate measure,
against which the 1955-56shift can be compared. This instabilitymakes
the "treatmenteffect"of Figure 1 now look more trivial. Had the drop
following the treatment been the largest shift in the time series, the
hypothesis of effect would have been much more plausible. Instead,
shifts that large are relatively frequent. The 1955-56 drop is less than
half the magnitude of the 1954-55gain, and the 1953 gain also exceeds
it. It is the largest drop of the series, but it exceeds the drops of 1952,
1954, and 1958 by trivial amounts. Thus the unexplainedinstabilitiesof
the series are of such a magnitude as to make the 1955-56 drop under-
standableas more of the same. On the other hand, it is noteworthythat
after the crackdown,there are no year-to-yeargains, and in this respect,
the character of the time-series has changed. The plausibility of the
hypothesisthat instabilityaccountsfor the effect can be judged by visual
inspection of the graphed figures, or by qualitative discussion, but in
addition it is this one threat to validity which can be evaluated by tests
of significance. These will be discussed later, and they do find some
evidence of change exceeding that which the pretreatmentinstability
would lead one to expect.
Multiple Time-Series
In many situations, time-series involving but a single experimental
unit will be all that are available. In these situations, analyses on the
above model are a great improvementover the usual before-and-after
study. However,it is in the spirit of quasi-experimentalanalysisto make
use of all available data that could help to rule out or confirm any
plausiblerival hypothesis. In a setting such as this, no randomlyassigned
control group is available. But in quasi-experimentation,even a non-
equivalent control group is helpful. It provides the only control for his-
tory (for those extraneous change agents that would be expected to
affect both the experimentaland control group), and assists in control-
ling maturation,testing, and instrumentation. For Connecticut,it was
judged that a pool of adjacent and similar states-New York, New
Jersey, Rhode Island and Massachusetts-provideda meaningful com-
parison. Figure 3 plots the death rates for the control states alongside
* 43
LAW AND SocmIEr Rivuvw
17 Connecticut
Control Stotes--
16
16
LU
wS
14
13
1-
12
U. II
10
7
1 I I I I I 1 I I I
'51 '52 '53 '54 '55 '56 '57 '58 '59
YEAR
Figure 3. Connecticutand ControlStates TrafficFatalities, 1951-1959
(per 100,000 population)
While in general these data confirm the single time-series analysis, the
differences between Connecticut and the control states show a pattern
supporting the hypothesis that the crackdown made a difference. In the
pretest years, Connecticut's rate is parallel or rising relative to the con-
.44 .
THE CONNECTICUT CRACKDOWN ON SPEEDING
17-
? Connectlout -
16 mm OAS
.~
\
18 1-
4; 14
QL:
13
3-
4
Ii. II
10 _, aS /\ %\
I \
9 % /.o
_ \ .-
fA- ;40 16~~~~...
_~ --dx
%
7
I I I I I I I I I
'51 '52 '53 '54 '55 '56 '57 '58 '59
YEAR
Figure 4. TrafficFatalitiesfor Connecticut,New York,New Jersey,
Rhode Island, and Massachusetts(per 100,000 persons)
. 45
LAW AND SocmIEa REVIEW
Tests of Significance
Our position in regard to tests of significanceis an intermediateone.
On the one hand, we would agree that they are overly honored and are
often useful in ruling out that one threat and should be used for that
purpose. They are appropriateeven where randomizationhas not been
used because even there it is a relevant threat to validity to' be able to
argue that even had these data been assigned at random,differencesthis
large would be frequent.7
The simplest tests conceptually are those testing for a difference in
slope or interceptbetween pretreatmentand posttreatmentobservations.
As applied here these assume linearity and independence of error. It
has been shown that the "proximallyautocorrelated"error typical of
natural situations (in which adjacent points in time share more error
than non-adjacentones) biases the usual tests in the directionof finding
too many significantdifferences.8Unaffected by this bias is a t-test by
Mood which compares a single posttreatmentpoint with a value ex-
?46 ?
THE CONNECTICUT CRACKDOWN ON SPEEDING
399-400 (1953). Note that this invalidates the discussion of tests of significance in
Campbell, From Description to Experimentation, supra note 1, at 220-30. The "Clayton
test" presented there was found in the Monte Carlo simulation by Sween & Campbell
to have additional errors leading it to be too optimistic.
9. A. M. MOOD,INTRODUCTION TO THE THEORYOF STATISTICS 297-98 (1950).
10. G. V. Glass, Analysis of Data on the Connecticut Speeding Crackdown as a
Time-Series Quasi-Experiment, 3 L. & SOC'YREV. 55-76 (1968); T. O. Maguire & G. V.
Glass, A Program for the Analysis of Certain Time-Series Quasi-Experiments, 27 EDUCA-
TIONALAND PSYCHOLOGICAL MEASUREMENT 743-50 (1967); G. V. Glass, G. C. Tiao, &
T. O. Maguire, Analysis of Data on the 1900 Revision of German Divorce Laws as a
Time-Series Quasi-Experiment, 3 L. & SOC'YREV. (1969) (in press).
11. G. E. P. Box & G. C. Tiao, A Change in Level of a Non-stationary Time Series,
52 BIOMETRIKA 181-92 (1965); G. E. P. Box, Bayesian Approaches to Some Bothersome
Problems in Data Analysis in IMPROVING EXPERIMENTALDESIGNANDSTATISTICAL ANALY-
SIS (J. C. Stanley ed. 1967).
? 47 ?
I
SupplementaryAnalyses
In this section, we will present data that will further illustrate time-
series analysis and, substantively,both indicate that the crackdownwas
put into effect and that it had some unanticipatedand, to the policy-
makers,probably undesired consequences.
Figure 5 presents evidence that the crackdownwas put into effect,
as indicated by a great increase in suspensionsof licenses for speeding.
Unfortunately,we have not been able to get control state data for this
and the following variables,but the single state time-seriesis quite con-
vincing in itself. We regard it as confirmingthe appropriatenessof the
statisticaltests that they indicate significantdifferences. The single-point-
33
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.48 .
THE CoNNEcrIcuT CRACKDOWNON SPEEDING
19 1
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THE CONNECICUT CRACKDOWNON SPEEDING
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* 51 ?
LAW AND SOCIETY
REVIE
CONCLUSION
On the substantive side, the analysis has demonstrated that the
Connecticutcrackdownon speeding was a substantialenforcementeffort,
although some of its most punitive aspects were mitigated in practice.
As to fatalities, we find a sustained trend toward reduction,but no un-
equivocal proof that they were due to the crackdown. The likelihood
that the very high prior rate instigated the crackdown seriously com-
plicates the inference.
We have, however,learned somethingabout the response of the legal
system to a reform bearing a harsh penal sanction. The courts, and
probably also the police, are apparentlyunwilling to invoke penalties
that might seem severe and unfamiliarin context. Moreover,the force
of such penalties as are inflicted is vitiated by the willingness of the
public to evade them. As in the case of white-collarcrime, the effective
punishmentvaries with the criminal.12
More important,we believe, than the specific findings of the study
is the methodology here explored. While the social scientist cannot as
a rule experimenton a societal scale, societal "experimentation"
or abrupt
focused social change is continuallygoing on, initiated by government,
business, natural forces, etc. The social scientist adds to his tools for
understandingthe social system when he attends to these events and
documents their effects in as thorough a fashion as is possible. Insofar
as correlationalapproaches differ from experimental analysis, it adds
depth to the social scientist's work when he examines the fit of an
experimentalinterpretationwith full attention to the uncontrolledcom-
peting hypotheses.
12. The classic reference is E. H. SUTHERLAND, WHITE COLLARCRIME (1959).
See also H. L. Ross, Traffic Law Violation: A Folk Crime, 8 SOCIALPROBLEMS
231-41
(1961).
52
THE CONNECrICUTCRACKDOWNON SPEEDING
.53 .