,. AUTOMOTIVE CRASH INJURY RESEARCH
' OF
CORNELL UNIVERSITY
CAT. FOR
pupiic HEALTH
The Consistency of ACIR
Accident — Injury Relationships in Four States
, by
B. J. Campbell
316 EAST 61ST e@ NEW YORK 21, N. Y.
''
ome
''a
Automotive Crash Injury Research
of Cornell University
Robert A. Wolf
Director
B. J. Campbell
Assistant Director
Myron I. Macht Merwyn A. Kraft John W. Garrett
Head, Field Branch Staff Scientist Head, Analysis Branch
316 East 61st Street
New York 21, New York
TE 8-86)
''
<™™
''THE CONSISTENCY OF ACIR
ACCIDENT-INJURY RELATIONSHIPS IN FOUR STATES
by
B. J. CAMPBELL
Approved?
Fobed 0) Vo
Robert A. Wolf
Director
June 1961
''Public Health
GIFT
«t
''HE SbI4
1 a
0313
Neetrh Fe
FOREWORD Lb hany 1
/
OUTLINE
SUMMARY 2
CHAPTER 1 - INTRODUCTION 3
CHAPTER 2 - METHODS 4
Section 1 - Selection of Factors 4
A. Injury Criteria 4
B. Aecident Factors 5
1. Listing of 5
2. Fractioning of (orthogonal set) 6
Section 2 - Determination of Accident-Injury Relationships 7
Section 3 - Comparison of States for Consistency 7
A. Possible Outcomes 7
B. Expected Outcomes 8
Section 4 - Summary of Methods 10
CHAPTER 3 - RESULTS 12
Section 1 - Comparison of 39 Accident Sub-Factors with
Injury Using Fatal vs. Non-Fatal Injury
Criterion 12
Section 2 - Comparison of 39 Accident Sub-Factors with
Injury Using Dangerous-Fatal vs. Remainder
Criterion 19
Section 3 - Distribution of Strong and Weak Factors 20
CHAPTER 4 - DISCUSSION AND CONCLUSION 23
APPENDIX 1 - List of 39 Sub-Factors 24
2 - List of Seven Conditions 26
3 - Strong and Weak Factor Distribution 28
4 - Summary of Findings 35
5 - Details of Statistical Tests 38
699
''''FOREWORD
Automotive Crash Injury Research (ACIR) of Cornell University is
engaged in the study of occupant injury causes in automobile accidents.
Such investigation contributes to efforts of automotive safety engineers
to alter components of automobiles in such a way as to minimize injury
they may cause during a crash.
Data for this research are reported on special forms developed by
ACIR and completed by state highway patrolmen, city policemen, and
physicians. The completed accident reports are available through cooper-
ation of state and local police organizations. The medical reports are
made available through the efforts of state medical societies, state
health departments and state hospital associations. It is only by virtue
of the exceptional cooperation by members of all these organizations
that this body of data is available for study at ACIR.
ACIR was supported during the research period of this report by
funds from the Office of the Surgeon General, Department of the Army,
following recommendations of the Armed Forces Epidemiological Board;
from the Automobile Manufacturers Association; and from the National
Institutes of Health of the United States Public Health Service.
The author wishes to express appreciation to his colleagues; to
Mr. Boris Tourin, formerly of ACIR; and to Dr. Irwin Bross, ACIR
statistical consultant for helpful advice concerning this paper. Thanks
are also due to other members of the ACIR staff for performing and check-
ing the extensive calculations.
''''SUMMARY
Accident-injury relationships were computed using data from four
states in order to demonstrate that given relationships were consistent
from state to state. Thus, if the relationship were strong in one state,
it should be strong in others; if it were weak in one, then it should be
weak in others. A total of 39 accident sub-factors were chosen in such
a manner that they constituted a statistically independent set of compar-
isons. Some of these factors were known to have a strong relationship
to injuries and others were known to have a weak relationship. Two
injury criteria were established and the 39 sub-factors were related to
each.
Depending on direction and magnitude of relationships in the four
states, sub-factors were listed as falling under one of seven Conditions.
Conditions I and II indicated strong relationships consistent among the
states. Conditions III, IV, and V indicated weak relationships consist-
ent among the states, or null relationships. Conditions VI and VII
indicated significant inconsistencies. It was stated that in order for
ACIR data to be regarded as acceptable, the present study (1) must show
that sub-factors fall mostly under Conditions I-V, and not under VI and
VII, and (2) must show that sub-factors under I and II come primarily
Prom factors previously found to be strong, and that sub-factors under
III, IV, and V come primarily from factors previously found to be weak.
The study results confirmed both stipulations. All sub-factors
fell under Conditions I-V. There were no instances of significant in-
consistencies (Conditions VI or VII). Moreover, sub-factors emerging
strong (Conditions I and II) came primarily from those previously found
to be strong. Sub-factors emerging weak (Conditions III, IV, and V)
came primarily from those previously found to be weak.
It was concluded that accident-injury relationships in ACIR data
are consistent from state to state and that ACIR findings have general
applicability.
''''THE CONSISTENCY OF ACIR ACCIDENT-INJURY RELATIONSHIPS IN FOUR STATES
CHAPTER 1
INTRODUCTION
ACIR findings deal with relationships between certain accident
factors and injury. Since data for these studies were collected in a
total of 19 states, it is most important to determine (1) whether data
from each state adequately represent events in that state, and (2)
whether the accident-injury relationships are consistent from state to
state. A recent ACIR publication deals with the first question and indi-
cates that the data are adequately representative,* but the second ques-
tion remains. The ability of ACIR to define injury problems and to
evaluate attempted solutions is predicated on consistency of accident-
injury relationships in various parts of the country. Obviously, use-
fulness of the findings would be placed in question if the data indicated,
for example, that greater injury was associated with higher speed in one
state, while in another state greater injury was associated with lower
speed.
It is the purpose of this paper to test many accident-injury
relationships using data from four states, in order to estimate inter-
state consistency with respect to magnitude and direction.
*A Comparison of Automotive Crash Injury Research Samples with Complete
State Data, ACIR, February 1961 (B. J. Campbell).
''ra
Bl see) i
‘
:
; A te, ate? %
‘ Ps -
- ‘ : - +f ‘ to
- - - . i - tae
- . * . .
tore Se 35 agap rGieve ape ete:
.: id ests c* + a sg . 1 y
! it : ed j q r
Pia ’
- : A x iy 2 ‘ a
. J . oe - 5 .
) 2 oy t vy ‘ 7 t
7: + . +
«
kok. a oe P : s { “ root
I ; ' i i 7
; : 5 * a toro. Mo ny :
- par ‘ ‘ : J Adie yi rer . “
- = - oid 3 “ . 4 4 tea ks ‘
—y ine. “oe - : ’
%J fiitw ec f diettews Wa: hua i
Pan
''CHAPTER 2
METHODS
ACIR data collected in four states were used to compute accident-
injury relationships; the four states were Arizona, California, North
Carolina and Texas. Data from California and North Carolina were col-
lected according to Random Sample Plans, while data from the other two
states were collected according to Administrative Sample Plans. These
sampling methods were described in the paper mentioned in Chapter 1.
Comparison of accident-injury relationships for inter-state
consistency was done in three steps listed immediately following and
then described in more detail in subsequent sections of this chapter.
Step 1: Selection of accident and injury factors to be tested
for relationship.
Step 2: Determination of relationship between each accident
factor and each injury criterion using data from each
of the four states.
Step 3: Comparison of accident-injury relationships among the
four states for consistency of magnitude and direction.
Section 1
Selection of Factors
A. Injury Criteria
The analytical procedures utilized required dividing the injury
scale into two parts. The first injury criterion involved classifying
occupants as to whether or not they were fatally injured. ACIR fatals
are defined as those who died within 24 hours after the accident.
The second injury criterion involved combining the fatal category
with the "dangerous injury" category. In ACIR terms, a dangerous injury
is one that could result in death after the first 24 hours, despite
prompt medical care (detailed criteria are used by ACIR Accident Analysts).
This combined "dangerous-fatal" category constitutes one part of the in-
jury continuum and all lesser degrees of injury constitutes the other
part. The following diagram illustrates the point at which the injury
spectrum was divided for each of the two injury criteria.
Fatal vs. Non-Fatal none, minor,
Dangerous-Fatal vs. |
Remainder none, minor, ...... | dangerous, fatal
''
''ay
Thus, two injury criteria are defined and each of these is compared
with numerous accident factors selected by the procedures described below.
B. Accident Factors
ACIR data contain very many accident factors suitable for relation-
ship testing against injury, and from this large group, ten were select-
ed. Five of these factors had previously been shown to have a powerful
relationship to injury, and the other five had been shown to have a weak
relationship.* Thus, the research was designed to permit observation of
the state-by-state consistency of strong accident-injury relationships,
as well as the state-by-state consistency of weak (or zero) relationships.
The ten factors are listed as follows:
A. Strong Factors
1. Applicable Impact Speed: The speed at impact of the
vehicle that principally determined severity of the acci-
dent.
2. Area of Severest Impact: The part of the car sustaining
the principal forces of the accident.
3+ Accident Severity: A five point rating scale taking into
account speed and damage.
4, Seated Position: Specification of the seat occupied by
the person.
2+ Ejection: Whether or not the occupant was thrown from
the car during the accident.
B. Weak Factors
6. Occupant Age.
7. Occupant Height.
8. Occupant Sex.
9. Occupant Weight.
10. Year of Manufacture: The production year model of the
car involved in the accident.
After selection of the ten factors, it was necessary to dichotomize
them as was done with the injury criteria. For example, the Applicable
*Accident factor strength was studied in the preliminary phase of the
ACIR Basic Science Program (unpublished). In this study, accident fac-
tors were ranked according to the amount of injury variance for which
they accounted.
''''he
Impact Speed Scale (Strong Factor 1) could be divided into two parts
such as "up to 39 mph" and "40 mph and over". If each factor were thus
dichotomized, then the relationship between the ten accident factors and
the two injury criteria could be computed and a total of 20 comparisons
would be available. Such a procedure would not be very efficient, how-
ever, because most of the accident factors can be divided meaningfully
into more than two parts. For example, data were available in sufficient
quantity to permit a four-way division of Applicable Impact Speed and
still to have useable frequencies in each category. The scale was
divided as follows:
1. O-19 mph
2. 20-39 mph
3. 40-59 mph
4. 60 mph and over
With the data divided into four parts, there are many two-way
comparisons possible, whereas if simply dichotomized, the factor could
be used only once. Now, for example, the "0-19 mph" category could be
compared to the "60+" category; the "20-39 mph" category could be com-
pared to the "40-59 mph" category; or all categories up to 59 mph could
be compared to the "60+" category. There are several other possible com-
binations.
Although dividing the scale into several parts increases the number
of possible comparisons, and more efficiently uses the data, another
problem is introduced. This is the fact that some combinations would be
such close duplicates of others that they would tend to "tell the same
story". The desirable compromise is to select several unique combina-
tions -- ones that are not duplicates.* After considering various re-
quirements of the situation, the following three sub-factors where chosen
for Applicable Impact Speed:
1. O-19 mph vs 60+ mph
2. 20-39 mph vs 40-59 mph
3. 20-39 mph+ 40-59 mph vs 0-19 mph+ 60 mph
Using the same general procedure, combinations of values for the
other nine factors (page 5) were selected and finally a total of 39
nearly independent sub-factors were chosen (listed in Appendix 1). Six-
teen of the sub-factors were from the five strong factors and 23 were
from the five weak factors. Each of the 39 sub-factors was compared
against each injury criterion; thus, there were 78 opportunities to com-
pare the four states for consistency of magnitude and direction of acci-
dent-injury relationship.
*It was advisable to deal with a set of statistically independent
(orthogonal) comparisons. Since there is more than one such set, it
was desirable that the one selected be the most meaningful in terms of
the data under study. The set finally selected was nearly orthogonal.
The author wishes to express appreciation to Dr. Irwin Bross (ACIR
statistical consultant) who formulated this analysis.
''''Section 2
Determination of Accident-Injury Relationships
The second step consists of determining the relationship between
each accident sub-factor and each injury criterion for each of the four
states. The 2 x 2 Chi square test was used, and completing the analyti-
cal program required calculation of 312 statistical tests (39 sub-factors,
2 injury measures and 4 states). The 2 x 2 Chi square gives two kinds
of information. One pertains to the degree of confidence that the test
reflects a true relationship, and the other pertains to the direction of
relationship. All tests were calculated in the same format, illustrated
as follows:
Non-Fatal Fatal Total 4% Fatal
Sub-Factor A 90 10 100 10.0
Sub-Factor B 170 30 200 15.0
260 40 300 *
The direction of association is always shown in the final column.
A "plus" means that the bottom percentage is larger and indicates a posi-
tive correlation. A "minus" indicates negative correlation. If the Chi
square for all four states carried a "plus" sign, then all four of the
associations would be in the same direction. If the signs varied among
the states, then the direction of association would appear to vary.
Whether the "plus" or "minus" represents a true relationship or
just a sampling fluctuation depends on the magnitude of the relationship.
If the Chi square value exceeds the one percent level, the relationship
is accepted as significant. Otherwise, the apparent relationship is at-
tributed to chance fluctuations.
Section 3
Comparision of States for Consistency
Since so many statistical tests were involved, interpreting the
data would be difficult in the absence of some ground work; therefore,
two questions are listed immediately following and are discussed there-
after:
A. What are the possible outcomes of the 78 comparisons?
B. What outcomes would be expected in view of the presence of
strong and weak factors?
A. Possible Outcomes
The outcomes depend on both magnitude and direction of the rela-
tionship. As far as direction of relationship is concerned, all four
states could be the same, but they could also differ. For example,
higher speed might be associated with higher injury in all four states,
''''but it is also possible that higher speed could associate with lower in-
jury in some states and higher injury in others. Magnitude of relation-
ship can vary in the same way. A relationship might be strong enough to
be statistically significant in all four states, but it is also possible
that none would be significant, or that some would be significant and
some would not. Considering jointly the aspects of magnitude and direc-
tion, it can be seen that possible outcomes include the full range from
(1) all four relationships significant and in the same direction, to
(2) all four relationships significant but two in one direction and the
other two in the opposite direction. In other words, outcomes could
range from a high degree of interstate consistency to a high degree of
inconsistency.
Specifically, the possible outcomes of the state comparisons are
divided into seven categories. These are described as follows and are
summarized in Table 1. The first possible outcome (called Condition I)
is the one in which there is perfect agreement. That is, in all four
states, the accident-injury relationship is significant and the direction
of association is the same. Condition II also indicates consistency but
somewhat less in degree. This covers the situation in which the direc-
tion of association is the same for all four states and some, but not all,
are significant.
Conditions III and IV also indicate consistency but in this case
a consistent lack of relationship. Condition III is defined as the
situation in which direction of association is the same in all four
states, but none is significant. Condition IV is the situation in
which none is significant and direction of association is not the same
for all. Condition V includes opposition of direction and one or more
relationships significant but not significantly opposite each other.
For example, a relationship might be positive and significant in one
state, positive but not significant in two others, and negative but not
significant in the fourth.
Conditions VI and VII indicate significant inconsistency. Condi-
tion VI includes opposition in direction and some significantly opposed.
In Condition VII, all are significant and there is opposition of direc-
tion.
Table 1 on the following page summarizes the foregoing (Appendix
2 describes the Conditions in greater detail).
B. Expected Outcomes
Although it is possible for sub-factors to fall under any of the
seven Conditions, the meaning of the data depends on the manner in which
the 78 groups of tests are actually distributed among them. It is dif-
ficult to specify exactly how the tests will be distributed, but some
general predictions are reasonable.
First, data falling under Conditions I and II would indicate
strong consistent relationships among the states. This is true because
data from all four states would indicate the same direction of relation-
ship and some or all would be significant. Such would argue well for
''''Direction of
Condition Association
I Same for all 4 states
II Same for all 4 states
III Same for all 4 states
IV One or two in
opposite direction
Vv One or two in
opposite direction
VI One or two in
opposite direction
VII One or two in
opposite direction
Table 1
The Seven Conditions
Example*
Negative Correlation Positive Correlation
Magnitude of Not Not
Association Significant Significant Significant Significant
All significant XXXX
One or more but not XX xX
all significant
None significant XXXX
None significant XX XX
One or more but not xX xX xX
all significant -
does not include
those significantly
opposite
At least two xX xX xX xX
significant and
opposite
All significant XX xX
*As can be seen from the definition, there are other possible arrays meeting the conditions.
**Each "X" represents one of the four states.
''''10
adequacy of ACIR data, particularly if sub-factors falling under Condi-
tions I and II came from those previously defined as strong factors.
Second, data falling under Conditions III, IV, and V would indicate
sub-factors with weak relationships to injury or those with no relation-
ships (null relations) to injury. That is, if a sub-factor showed no
significant relationship to injury in one state, there might be inter-
state consistency in that the other states would also show no signifi-
cant relationship. Such would also argue well for consistency of ACIR
data, particularly if sub-factors falling under Conditions III, IV, and
V came primarily from factors previously defined as weak.
Finally, data falling under Conditions VI or VII could indicate
significant inconsistency among states. That is, in one state there
might be a significant positive relationship between a sub-factor and
injury, while in another state the relationship might be significant but
opposite in direction. Such findings would seriously question ACIR data
as consistent and of general applicability.
The exact distribution of sub-factors under the various Conditions
requires knowledge not obtainable; however, by making certain assumptions
regarding power of the statistical tests, etc., it is possible to esti-
mate the situation and to construct a model which predicts the distribu-
tion of sub-factors among the Conditions. This is discussed in the
necessary detail in Appendix 3. Based on the foregoing and on the ex-
panded treatment in Appendix 3, the following is set forth:
ACIR data may be regarded as consistent and adequate for general
use only if both of the following stipulations are met:
1. The great majority of sub-factors are distributed under
Conditions I-V and very few or none are under Conditions
VI and VII.
2. The sub-factors falling under Conditions I and II are
primarily from those previously defined as strong, and the
sub-factors falling under Conditions III, IV and V are
primarily from those previously defined as weak.
In the Discussion Chapter, the results are evaluated in light of
these stipulations.
Section }
Summary of Methods
Accident-injury relationships were computed using data from four
states in order to demonstrate that given relationships were consistent
from state to state. Thus, if the relationship were strong in one state,
it should be strong in others; if it were weak in one, then it should be
weak in others. A total of 39 accident sub-factors were chosen such
that they constituted a statistically independent set of comparisons.
Some of these factors were known to have a strong relationship to
''
at
''11
injuries and others were known to have a weak relationship. Two injury
criteria were established and the 39 sub-factors were related to each.
Depending on direction and magnitude of relationships in the four
states, sub-factors were listed as falling under one of seven Conditions.
Conditions I and II indicated strong, consistent relationships. Condi-
tions III, IV, and V indicate weak or null relationships. Conditions VI
and VII indicated significant inconsistencies. It was stated that in
order to be acceptable, ACIR data (1) must fall mostly under Conditions
I-V and not under VI and VII and (2) must show that sub-factors under I
and II come primarily from factors previously shown to be strong and
sub-factors under Conditions III, IV and V come primarily from factors
previously shown to be weak.
''''i2
CHAPTER 3
RESULTS
The Results Chapter is divided into three sections as follows:
1. Comparison of 39 sub-factors with injury using the fatal vs.
non-fatal criterion.
2. Comparison of 39 sub-factors with injury using the dangerous-
fatal vs. remainder criterion.
3. Distribution of strong and weak factors.
For simplicity, only one sub-factor under each Condition is pre-
sented in Section 1, and in Section 2 an even more brief summary is
given. Data concerning all 39 sub-factors are listed in Appendix 4,
Section 1
Comparison of 39 Accident Sub-Factors With Injury
Using the Fatal vs. Non-Fatal Injury Criterion
Sub-Factors under Condition I: This represents the situation in
which a significant accident-injury relationship exists in all four
states and the direction of association is the same for all. Condition
I suggests consistency among states, and the findings with respect to
ejection illustrate it (the ejection sub-factor is No. 16 listed in
Appendix 4a). In each of the four states, occupants injured fatally and
those not injured fatally are classified according to whether or not
they were ejected. Table 2 shows these data.
''''Table 2
Fatalities as a Function of Ejection
13
Arizona California
Non Non
Fatel Fatal WN b Fatel Fatal WN b
Not Ejected 569 11 580 1.9 768 12 780 1.5
Ejected 131 27 158 17.1 120 17 «:137.”—=—s:12..4
Total 700 38 =: 738 + 888 29 917 +
X°(1df)=55.6 p
.05 X2(1df)=4.01 02 p<.05
North Carolina Texas
Not Not
Killed Killed W b Killed Killed WN b
All Occupants 764 20 784 2.6 476 29 505 5.7
Drivers Alone 131 13 144 «9.0 108 7 115 6.1
Total 895 33 928 + 584 36 620 +
X2(1af)=13.1 p<.0l X2(laf)=.0l1 p>.05
''
''Sub-Factors under Condition IIT:
15
Condition III describes the
situation in which all four associations are in the same direction, but
none is significant; data corresponding to this Condition support the
hypothesis of consistency by suggesting that if an accident-injury
relationship is weak in one state, it will be weak in other states.
Condition III is illustrated in Table 4 which shows the frequency of
fatalities according to occupant height.
quency of fatality among taller persons seemed somewhat greater, but
the tests results were uniformly not significant. In all, 15 sub-factors
fell under Condition III (see Appendix 4b).
Table 4
In each of the states, fre-
Fatalities as a Function of Height
Arizona California
Hetgnt Killed Killed No $ Killed Kea HO
o - 48" 39 2 41 4g 45 0 45 0
4g - 73" 606 38 6459 779 2T 806 ~—- 33
Total 645 Lo 685 + 82h 27 851 +
x2(laf)=.01 p>.05 X2(laf)=.66 p>.05
North Carolina Texas
Not Not
Height Killed Killed W b Killed Killed W b
Oo - 48" 29 2 ST = 3 59 3 58 5.2
4g - 73" 737 32 769 4.2 542 36 578 6.2
Total 792 34 826 + 597 39 636 +
X@(ldf)=.01 p>.05
X@(ldf)=.0006 p>.05
The first three Conditions pertained to situations in which the
direction of apparent association was the same in all four states. The
next four Conditions describe situations in which the direction of asso-
ciation varies among the states.
''''16
Sub-Factors Falling under Condition IV: This is the situation in
which none of the relationships is significant and in which the direc-
tion of association varies among the states. This Condition should in-
clude situations in which there is a random fluctuation around a true
zero association and it supports the hypothesis of consistency by show~-
ing a consistent lack of relationship. Table 5 illustrates Condition IV
by comparing the relationship between fatalities and area of car damage
in the four states. In two states, the fatality percentage is higher
in the case of front area impacts, while in the other two, it is lower
in this area. The direction of difference is opposite in two states,
and none of the associations is significant. There are 12 comparisons
that fall under Condition IV (see Appendix 4b).
Table 5
Fatalities as a Function of Area Struck
Arizona California
Kitiea Killed WN z Kittea Killed WN b
Compartment 19 2 81 2.5 178 10 188) 5.3
Front 267 a5 282 65.3 391 8 399 2.0
‘Total 346 17 -363—t—«‘a+ 569 18 587 -
X°(1df)=.6 p> .05 X°(1df)=3.7 p>.05
North Carolina Texas
Not Not
Killed Killed WN b Killed Killed W b
Compartment 116 3 Wg 2.5 129 12 141 = 8.5
Front 304 19 403 4.7 257 19 276 6.9
Total 500 22 522 + 386 31 417 -
X2(1df)=.6 p>.05 X2(1af)=.2 p> .05
''_
''Sub-Factors Falling under Condition V:
17
Condition V is one in
which there are differences in direction of apparent association and
one of the associations is significant.
Table 6 shows an example of
data which conforms to Condition V - a comparison of fatalities by age
of person killed.
significant.
In one of the states, the association is positive and
In another the association is positive but not significant.
In the remaining two states, the direction of association is opposite to
the significant one, but not significant.
to Condition IV, but may seem less supportive of the hypothesis of con-
sistency because divergence of trend among the states is more extreme.
Two comparisons fit Condition V (see Appendix 4b).
Table 6
Thus, Condition V is similar
Fatalities as a Function of Age of Person Killed
Arizona California
Not Not
Age Killed Killed WN b Killed Killed W b
45-54 69 0 69 0 70 Z 75 6.7
35-44 91 12 103 11.7 112 3 115 2.6
Total 160 12 172 + 182 8 190 -
X@(1df)=6.9 px.Ol X2(1df)=1.0 p>.05
North Carolina Texas
Not Not
Age Killed Killed WN b Killed Killed W b
45-5) hg 4 53. «7.5 58 2 60 3.3
35-4h 5 8 123 6.5 77 8 85 9.4
Total 164 12 176 - 135 10 145 +
X°(ldf)=.00 p> .05
X2(1df)=1.2 p>.05
''
''18
Sub-Factors Falling under Conditions VI and VII: Conditions VI
and VII cover situations which contradict the hypothesis of consistency
because they involve significant disagreement among the states. None
of the sub-factors fell under Condition VI and none fell under Condi-
tion VII.
Summary of Sub-Factors Falling under Conditions I-VII: All 39 of
the sub-factors (using the fatal vs. non-fatal injury criterion) fell
under Conditions supporting the hypothesis of consistency. Three sub-
factors fell under Condition I and seven under Condition II; 15 fell
under III and 12 under IV; 2 fell under V. There were no instances of
sub-factors falling under Conditions VI or VII; thus, there were no
significant inconsistencies. Table 7 summarizes the number of sub-
factors under each Condition.
Table 7
Distribution of 39 Sub-Factors According to Seven Conditions
(Fatal Injury Measure)
Direction of Magnitude of Number of
Condition Association Association Sub-Factors
I Same for all 4 states All significant 3
II Same for all 4 states One or more but not
all significant 7
III Same for all 4 states None significant 15
IV One or two in opposite None significant 12
direction
Vv One or two in opposite One or more but not
direction all significant - 2
does not include
those significantly
opposite
vI One or two in opposite At least two signifi-
direction cant 0
vit One or two in opposite All significant 0
direction _
''''19
Since only one sub-factor under each Condition was actually shown
in the Results, a summary of the analysis of all 39 sub-factors for both
injury criteria is presented in Appendix 4a, 4b, and 4c. Moreover,
information permitting reconstruction of any test in the study is present-~
ed in Appendix 5.
Section 2
Comparison of 39 Accident Sub-Factors With Injury Using
The Dangerous-Fatal vs. Remainder Criterion
This part of the analysis involved retracing the analytical pro-
cess just described in Section 1, this time using a somewhat different
injury criterion. Instead of using fatal injuries, the classification
included a combination of those injured to a dangerous degree plus
those injured fatally. This was done to check the possibility that
accident-injury relationships may be influenced grossly by the dividing
point of the injury scale.
The manner in which the sub-factors were distributed among the
Conditions using the dangerous-fatal injury criterion was similar to the
results obtained using the other injury criterion; therefore only a sum-
mary is presented here. The full analysis is summarized in Appendix
le and 4e and the tests can be reconstructed from Appendix 5.
As before, there were no instances of Conditions VI or VII.
There was, however, a somewhat greater number of sub-factors falling
under Condition V (seven instead of two as in the first analysis).
None of the 39 sub-factors showed significant disagreement when the
dangerous-fatal measure was used, just as there was no significant dis~
agreement when the fatal measure was used. Table 8 summarizes the
distribution of 39 sub-factors among the seven Conditions using the
dangerous-fatal injury criterion. (This is comparable to Table 7 for
the other injury criterion. )
''''20
Table 8
Distribution of 39 Sub-Factors According to Seven Conditions
(Dangerous Fatal Injury)
Direction of Magnitude of
Condition Association Association Frequency
i Same for all 4 states All significant 4
TZ Same for all 4 states One or more but not
all significant 8
III Same for all 4 states None significant 8
IV One or two in opposite None significant 12
direction
V One or two in opposite One or more but not
direction all significant - 7
does not include
those significantly
opposite
VI One or two in opposite At least two signifi-
direction cant and opposite 0
VII One or two in opposite All significant O
direction
Section 3
Distribution of Strong and Weak Factors
In Sections 1 and 2 of this Chapter each sub-factor was listed as
falling under one of the seven Conditions. It was stated that Conditions
I and II would be expected to reflect strong, consistent relationships;
Conditions III, IV and V would be expected to reflect weak, consistent
relationships and zero relationships.
Conditions VI and VII would be
expected to reflect strongly inconsistent relationships. Earlier, in
the Methods Chapter, it was stated that previous research had indicated
certain factors as bearing a stronger relationship to injury than
others. It follows that sub-factors which analysis showed as falling
under Conditions I and II should more frequently be from the 16 sub-
factors previously defined as strong.
Sub-factors falling under Condi-
tions III, IV and V would be expected to come primarily from the 23 sub-
factors previously defined as weak.
''''el
Table 9 summarizes analysis using the fatal vs. non-fatal injury
criterion which revealed ten sub-factors strongly related to injury.
Of the ten, nine had been predicted to be strong (90%). Analysis also
showed that 29 sub-factors had a weak or zero relationship to injury.
Twenty-two of the 29 (76%) had been predicted to be weak. Analysis re-
vealed no inconsistent relationships and, of course, it was assumed
previously that none was inconsistent.
Table 9
Correspondence of Factor Strength with Predicted Strength
Using Fatal vs. Non-Fatal Injury Measure
Sub-Factor Defined Earlier as:
Strong Weak
Sub-Factor Emerged as: Strong
(Conditions I & IT) 9 4.
Weak
(Conditions III, 7 22
Iv, & V)
Contradictory
(Conditions VI & VII) 0 0
Table 10 shows the same arrangement based on use of the dangerous-
fatal vs. remainder injury criterion. This analysis revealed that twelve
sub-factors had a strong relationship to injury. Of the 12, eight (67%)
had been correctly predicted to be strong. The analysis also indicated
that 27 sub-factors had a weak or zero relationship to injury. Of the
27, 19 (70%) had been correctly predicted to be weak. No sub-factors
turned out to be inconsistent and, of course, none had been so predicted.
''''Table 10
22
Correspondence of Factor Strength with Predicted Strength
Using Dangerous-Fatal vs. Remainder Injury Measure
Sub-Factor Emerged as:
Sub-Factor Defined Earlier as:
Strong Weak
Strong
(Conditions I & II) 8 4
Weak
(Conditions III,
Iv, & V) 8 19
Contradictory
(Conditions VI & VII) 0 0
''''23
CHAPTER 4
DISCUSSION AND CONCLUSION
Earlier it was stated that ACIR data could be regarded as con-
sistent and adequate for general use only if two stipulations were met.
The data will be discussed in terms of how well the stipulations are
met.
Stipulation 1: The great majority of factors must fall under
conditions I-V and few may fall under Conditions
VI or VII.
The Results show that all of the 39 sub-factors tested against
each of the injury criteria fell under Conditions I-V. No
sub-factor fell under Conditions VI or VII. Thus, there was
no instance of a significant inconsistency.
Stipulation 2: Sub-factors falling under Conditions I and II must
come primarily from factors previously found to
have a strong relationship to injury. Sub-factors
falling under Conditions III, IV, and V must come
primarily from factors previously found to have a
weak relationship to injury.
The Results show that most of the sub-factors which emerged
as strong were those previously found to be strong. Most of
the sub-factors which emerged as weak were those previously
found to be weak.
On the basis of this research, it is concluded that accident-injury
relationships in ACIR data are consistent from state to state and that
ACIR findings have general applicability.
''''II.
til.
VI.
VII.
eh
APPENDIX 1
LIST OF 39 SUB-FACTORS
Applicable Impact Speed (20mph categories from 0 to 60+)
ls 0-19) vs. (60+)
2. (20-39) vs. (40-59)
3. (20-59) vs. ( 0-19) + (60+)
Area of Severest Impact (compartment, front, fender, rear
and rollover)
- compartment vs. front
rear vs. any fender
rear, any fender vs. front, compartment
7. front, compartment, rear, any fender vs. rollover
4
2
6
Accident Severity (1) Minor, (2) Moderate, (3) Moderately
Severe, (4) Severe, (5) Extremely Severe + Extreme.
8. minor (1) vs. extremely severe + extreme (5)
9. moderate (2) vs. severe (4)
10. minor (1) + extremely severe + extreme (5) vs.
moderate (2) + severe (4)
11. minor (1) + moderate (2) + severe (4) extremely
severe + extreme (5) vs. moderately severe (3)
Seated Position: (1) driver alone, (2) driver with passengers,
(3) center front - CF, (4) right front - RF, (5) rear.
12. driver with passenger(s) vs. RF
13. CF vs. driver with passenger + RF
14. rear vs. driver with passenger + CF + RF
15. driver with passenger + CF + RF + rear vs. driver alone
Ejection (ejected - not ejected)
16. not ejected vs. ejected
Occupant Age: (1) up to 14, (2) 15-19, (3) 20-24, (4) 25-34,
(5) 35-4k, (6) 45-54, (7) 55-64, (8) 65 and over.
17. 65+ vs. 55-64
18, 45-54 vs. 35-44
19. 25-34 vs. 20-2)
20. 15-19 vs. up to 14
21. 55-65+ vs. to 19
22. 35-54 vs. 20-34
23. (to 19) + (55+) vs. 20-54
Sex of Occupants (male and female)
eh. female vs. male
''''VIII.
IX.
X.
25
Height of Occupants: (1) up to 36 inches, (2) 37-48, (3) 49-60,
25,
26.
27.
28.
29,
(4) 61-66, (5) 67-72, (6) 73 and more.
49-60 vs. 73+
61-66 vs. 67-72
(49-60) + (73+) vs. 61-72
37-48 vs. up to 36
up to 48 vs. 4O+-
Weight of Occupants: (1) up to 99 pounds, (2) 100-124,
30.
31.
32.
33.
Year of
34.
35.
36.
37.
38.
39.
(3) 125-149, (4) 150-174, (5) 175 and more.
up to 99 vs. 100-124
150-174 vs. 175 and more
up to 124 vs. 150 and more
(up to 124) + (150 and more) vs. 125-149
Manufacture: (1) pre-1952, (2) 1952, (3) 1953, (4) 1954,
(5) 1955, (6) 1956, (7) 1957.
1952 vs. 1954
1953 vs. 1952 + 1954
pre-1952 vs. 1952 + 1953 + 1954
1955 vs. 1956
1955 + 1956 vs. 1957
through 1954 vs. 1955 and later
''''26
APPENDIX 2
LIST OF SEVEN CONDITIONS
Condition I: The situation in which all the accident-injury rela-
tionships are significant and in the same direction for all four states.
Data falling under this condition support the hypothesis of consistency
of accident injury relationships. This is logical because if a given
relationship is present in one state, it should be present in the others.
Condition II: The situation in which some (one or more, but not
all) of the relationships are significant, and all are in the same direc-
tion. Data falling under this condition support the hypothesis. This
follows the same logic as Condition I, although here not all relation-
ships have the same strength.
Condition III: The situation in which the accident-injury rela-
tionship is not significant in any of the four states, but the apparent
direction of relationship is the same for all four. Data falling under
this condition support the hypothesis of consistency. This is logical
because if a given variable shows a trend (though so weak as not to be
significant) in one state, then the same should hold true in the others.
Condition IV: The situation in which none of the relationships
is significant and one or two are opposite to the others in direction.
Data falling under this condition support the hypothesis. Thus, if there
is a complete absence of a relationship, test results should fluctuate
randomly around zero.
Condition V: The situation in which one or more (but not all)
relationships are significant, and one or two are opposite in direction
to the others. Data falling under this condition are consistent with
the hypothesis. This Condition is similar in logic to Condition IV,
except that there is somewhat more variation in the results. This
Condition does not include the situation of two or more significant
relationships which are opposite to each other. Condition V might, for
example, include such as the following:
State Direction Magnitude
J + Not significant
2 Significant
3 - Not significant
4 - Not significant
Condition VI: The situation in which at least two results are
significant and are in opposite directions. Data falling under this
Condition contradict the hypothesis, because they would indicate that
an accident circumstance which produced significantly greater injury in
one state, produced significantly less injury in another.
''r
''eT
Condition VII: The situation in which all four results are sig-
nificant and one or two are opposite to the others in direction. Data
falling under this Condition would contradict the hypothesis for the
game reason as given for Condition VI.
''''28
APPENDIX 3
STRONG AND WEAK FACTOR DISTRIBUTION
In the text, seven Conditions are listed and each sub-factor is
described as falling under one or the other of the Conditions. A discus-
sion is desirable in order to illustrate the manner in which the sub-
factors might be expected to be distributed smong the Conditions. This
will be done by presenting three hypothetical situations.
1. First consideration is given to an hypothetical situation in
which there is a large number of sub-factors, each of which bears a close
relationship to injury, and all of which have the same direction of asso~
ciation, regardless of the state in which the sample was gathered. If
moderate sized samples are used, a test such as Chi square would be quite
powerful and the probability of detecting the relationship would be high
(i.e., the probability of obtaining a significant result). The proba-
bility of a Type II error would, correspondingly, be quite low.*
If such a situation exists and a given sub-factor is tested in
four states, one of the two most likely outcomes would be Condition I
(all four significant and in the same direction).
If the process were repeated many times, sometimes the relation-
ship in one or more states would not be significant (Type II errors).
This would result in Condition II (some states significant and some not,
but all in the same direction). If none of the four states were sig-
nificant, the sub-factor would fall under Condition III but the probabil-
ity of a Type II error in all four states would be very small. The
probability of having one or two states opposite to the others in terms
of direction of association would also be quite small. Thus, the chances
of having a sub-factor to fall under Conditions III, IV, V, VI or VII
would be negligible.
When relationships are strong and consistent, a concentration of
sub-factors under Conditions I and II would be expected. The exact
division would be a matter of "how strong is strong?" At a higher level
of strength, almost all would fall under I and few under II. Ata
somewhat lower level of strength, there would be more under II than under
I (but still virtually none under any of the other Conditions).
A computation illustration of this situation is included at the
end of this Appendix.
2, Second consideration is given to an hypothetical situation in
which there is a large number of sub-factors, each of which has no
*A Type II error is the probability of rejecting the alternate hypothe -~
sis when it is true. Most statistics books have a discussion of Type
I and II errors.
''''29
relationship to injury, and this null situation is existent in all four
states. If repeated tests were performed, the results would usually be
non-significant. If the one percent level is selected (i.e., the risk
of a Type I error is set at .01), then one time in 100 an apparently
significant test would be obtained. Also, in such a null situation,
samples would fluctuate randomly around zero; thus, the apparent direc-
tion of association would be equally often positive and negative.
If the four states were compared repeatedly under these circum-
stances, the most typical outcome would be Condition IV (no tests sig-
nificant, and some positive and some negative in direction). About one
time in eight the direction of all four would be the same (just as all
of 4 coins would be heads or tails once in eight tosses), and the result
would be Condition III. Rarely, one of the tests would show up signifi-
cant (a Type I error) and then the result would be Condition V or II
depending on whether or not the states happened to be in the same direc-
tion. Condition V would be rare but Condition II would be extremely
rare because, not only would a test have to be significant, but simultan-
eously all four would have to be in the same direction.
Thus, when relationships are null, a concentration of sub-factors
would be expected under Condition IV. A smaller number would appear
under III, and rarely a finding would appear under V or II.
Note that there is virtually no overlap in the Conditions under
which sub-factors would fall if there is a strong relationship as com-
pared to a null relationship.
A computational illustration of this situation is included at the
end of this Appendix.
3. Third consideration is given to an hypothetical situation in
which there is a large number of sub-factors, each of which bears a weak
relationship to injury and all of which have the same direction of asso-
ciation regardless of the state in which the sample was gathered. In
this situation, the power of the tests would be lower (i.e., the Type II
error would be made more often), and tests would show up insignificant
more often than in the first illustration. The consistency of direction
of the weak relationship would, however, tend to result in all four
states agreeing in apparent direction. There would, nevertheless, be some
occasions of disagreement in direction. In this as opposed to the null
situation, there would be fewer instances of Condition IV and more of
Condition III. That is, there would still be many instances in which
none of the tests was significant, but in the weak situation they would
tend to be in the same direction, whereas in the null situation they
would tend to fluctuate randomly in direction.
Thus, in the situation of weak but consistent relationships,
there would be a concentration under III, some under II, IV, and V.
A computational illustration is included at the end of this
Appendix.
''''30
Since the data on hand actually contain a mixture of strong and
weak variables, it would be expected that findings would be scattered
under all five Conditions. The exact allocation is impossible to pre-
a@ict because it depends on the number of strong and weak factors as
well as the magnitude of the strength or lack of strength. It would be
expected, however, that those factors emerging as strong should come
largely from those defined previously as strong. The same should be
true for the weak factors. This is discussed in the Results section of
Part II of the paper.
''
t.
''ae
31
Computational Illustrations
‘4 Strong Sub-Factors
Given: A large number of accident-injury relationships which are
strong in all four states and consistent in direction. The power of the
test is .75 (i. e., the probability of detecting a relationship). The
probability of a test indicating the wrong direction of association a-
proaches zero.
There are 16 ways in which the results of the four states could come
out with respect to significance (binomial theorem). Let a "plus" indi-
cate that the state showed a significant relationship (for this example,
the probability of a “plus" is .75). Let a "minus" indicate that the
state showed no relationship (probability .25).
State 1 2 3 4
+ + + + All states Pr aaye =
+ + + - probability: (.75) 2316
+ + - +
+ + - -
+ “ + +
+ - + -
+ ~ - +
+ - - - Some states significant
- + + + probability: 4(. 75)3(. 2 = .4ee
pS: CBP
- + - + 75 025 )I= .O4
e+ & & 680
- - + +
- - + -
- - - + No states edyais ieee
- - - - probability: (.25)4* = .ook
The above model gives the probabilities for various Conditions as
far as significance is concerned. As for direction of association, in
this example, the probability of the correct direction is 1.00. There-
fore:
''tT.
''32
Probability of: Joint
Condition Direction Significance Probability
I all sig. 1.00 (.75)4 = .316 132
same dir.
II some sig. 1.00 -680 .68
same dir.
III none sig. 1.00 (.25)4 = .ook .00
same dir.
IV none sig. «OO 00
some opp.
Vv none sig. 00 00
some opp.
VI some sig. 00 00
some opp.
VII all sig. 00 00
some opp.
1.00
Thus, for the situation of strong relationships, a concentration
would be expected under I and ITI.
2. Null Relationships
Given: No accident-injury relationship in any state. Type I error
set at .01 (probability of obtaining an apparently significant result).
Probability of a positive direction of relationship is .50 (the proba-
bility of all four in the same direction would be 2(.0625) = .125 --
that is, the sum of the probabilities of all being positive and all
being negative).
Using the same 16 possible combinations as shown in the first exam-
ple, but substituting the new values (.99 and .01) gives the following:
probability of all being significant (.01)4 = —>.00
probability of some being significant 4(.01)3(.99) = —».00
— 6(.01)*(.99)2= .0006
4(.o1) (.99)3 -0388
-039
probability of none being significant (.99)4# = -961
Now, adding the probabilities concerning direction, the Conditions
may be specified:
''
i
''33
Probability of: Joint
Condition Direction Significance Probability
I All sig. £125 (.o1)* = 0 .00
all same
II Some sig. wie 039 00
all same
III None sig. 6125 (.99)4 = .961 .12
all same
IV None sig. 875 961 By
some opp.
xv Some sig. »875 -03
: some Opp.
.034%
¥VI Some sig. -875 -00
. some opp.
VII All sig. 875 0 00
some opp.
Thus, for the null condition, most sub-factors would be under
Condition IV. A few would be under III and a negligible number would be
under V.
3. Weak Relationships
Given: A large number of weak accident-injury relationships, which
are, nevertheless, consistent in direction of association. Power of test
is .25. Probability of a test indicating the correct direction is .90.
(The probability of all four Lee sag the correct direction and, there-
fore, the same direction is (.90)* = .6561. To this must be added the
probability of all being in the incorrect direction because these too
would be in the same direction (.10)* = .0001. Sum = .6562)
*¥Note Conditions V and VI are identical as far as their binomial proper-
-ties are concerned. That is, they both are characterized by some sig-
nificant tests and some not, and they both have some opposite in direc-
tion. There is, however, an important distinction in terms of the
meaning of the data. That is, Condition VI contains the additional
proviso that two of the significant tests must be opposite in direction..
(Condition V, on the other hand, requires that all significant tests be
consistent in direction.) A separate evaluation was made to partial
out the exact probabilities of Conditions V and VI. This was done by
evaluating, in detail, two binomials: one corresponding to significance
(.O01 and .99), and the other corresponding to direction of association
(.50 and -50).
''ty
''34
The evaluation of significance combinations is as follows:
(.25)4 = .0039
probability of all significant
probability of
probability of
some significant
none significant
4(.25)3
4(.25)
(.75) =
6(.25)°( 275 )e=
(.75)3=
+2109
4219
.6796
(.75)4 = .3164
Adding the factor of direction of association results in the fol-
lowing:
Condition
I All sig.
same dir.
II Some sig.
same dir.
III None sig.
same dir.
IV None sig.
some opp.
*V Some sig.
some opp.
*VI Some sig.
some opp.
VII All sig.
some
opp.
Direction
66
66
Probability of:
Significance
—» .00
-680
+320
032
—> .00
Joint
Probability
00
045
eel
ell
18
we
> .05
-00
In the weak situation, there is a concentration under II, with cases
under III, IV, and V and a negligible number under VI.
The following table summarizes the expected distribution according
to the three models illustrated:
Condition Strong
I 032
II .68
III 00
IV 00
Vv 00
VI -00
VII 00
Null
00
00
12
8h
03
00
00
Weak
-00
45
eel
ell
18
205
-00
*Note: The probability of V and VI had to be determined separately, as
- before.
''''APPENDIX ha
SUMMARY OF FINDINGS
FATAL DANGEROUS FATAL
Arizona California No. Carolina Texas Arizona California No. Carolina Texas
Magni Magni- Magni- Magni- Magni- Magni: Magni- Magni-
Factors tude Direc. tude Dir. tude Dir. tude Dir. Condition tude Dir. tude Dir. tude Dir. tude Dir. Condition
de NS + Ss + NS + NS + 2 NS + Ss + Ss + NS + 2
Impact Speed 2. NS + Ss + Ss + NS + 2 NS + NS + NS + NS + 3
36 Ss + NS + Ss + Ss + 2 Ss + s + Ss + s + a:
4h. NS + NS - NS + NS - 4 NS + Ss - NS + NS - 5
Area of be NS + NS oO NS 0 NS + 3 NS + NS - NS + NS + 4
Severest Impact 6. NS + NS + NS + s + 2 NS + s + NS + NS + 2
Te NS + NS + NS + NS 0 3 Ss + S$ + NS + NS + 2
8. S + s + s + s + 1 s + s + s + s + 1
Accident 9. S + iS} + s + s + A Ss + s + s + Ss + 2
Severity 10. NS - NS + NS - NS + 4 NS - s + NS - NS + 5
ll. s - NS - NS - NS - 2 NS - NS + NS + NS + 4
12. NS + NS + NS + NS + 3 NS + NS + NS + NS + 3
Seated 13. NS + NS + NS + NS + 3 NS + NS + NS + NS + 3
Position 14. NS + NS + NS + NS + 3 NS + NS + NS + NS + 3
15. NS + Ss + s + NS + 2 NS + NS + s + NS + 2
Ejection 16. s + 8 + s + _S + 1 s + s + s + s + A.
ij. NS + NS + NS + NS + 3 NS - NS = NS + NS + y
18. Ss + NS - NS - NS + 5 Ss + NS - NS - NS + 5
Age of 19. NS + NS - NS - NS - 4 S + NS + NS - NS + 5
Occupants 20. NS + NS - NS - NS + y NS - 8 - NS - NS + 5
el. NS - NS - NS - NS - 3 S - Ss - NS - Ss - 2
22. NS - NS - NS - NS - 3 NS - NS - NS - NS - 3
236 NS + NS + NS + NS + 3 __NS + NS + s + NS - 5
Sex ek. NS + NS + NS + NS - 4 NS + NS + NS + NS + 3
256 NS + NS + NS + NS 0 3 NS + NS + Ss + NS + 2
Height of 26. NS + NS + NS + NS + 3 s + NS + NS + NS + 2
Occupants 27. NS + NS + NS + NS + 3 NS + NS + NS + NS + 3
28. NS - NS 0 NS - NS + 4 NS - NS 0 NS + NS + 4
29- NS + NS + NS + NS + 3 _NS + NS + NS + NS + 3
30. NS - NS + NS - NS - h NS + NS + NS + NS - 4
Weight of 31. NS + NS - NS + NS + 4 NS + NS - NS + NS + 4
Occupants 32. NS + NS + NS + NS + 3 s + NS + s + s + 2
33. NS - NS - _NS - NS + 4 NS - NS - _S - NS + 4
3h. NS + NS 0 NS + NS + 3 NS - NS - NS + NS + k
Year of 35-6 NS - NS - NS + NS + 4 NS - NS + NS + NS + 4
Mfg. of Car 36. s + NS + NS + NS + 2 s + NS + NS - NS + 5
37. NS - NS + NS + NS + 4 NS + NS - NS + NS - 4
38. s - NS + NS - NS + 5 NS - NS + NS - NS + 4
39. NS - NS + NS - NS + 4 NS - NS - NS + NS + 4
Se
''
''15.
36.
5.
Te
12.
13 e
14.
17.
21.
22.
23.
25.
26.
27.
29.
32.
3h.
k,
10.
19.
20.
2h.
28.
30.
31.
33.
356
37°
396
18.
38.
APPENDIX hb
FATAL
Factors
Accident Severity:
minor vs. extremely severe + extreme
moderate vs. severe
Ejection:
not ejected vs. ejected
Applicable Impact Speed
0-19) vs. (60+)
a vs. (40-59)
20-59) vs. (0-19) + (60+)
Area of Severest Impact
rear, any fender vs. front, compartment
Accident Severity
minor + moderate + severe + extremely severe + extreme
vs. moderately severe
Seated Position
driver with passenger + CF + RF + rear vs. driver alone
Year of Manufacture
pre-1952 vs. 1952 + 1953 + 1954
Area of Severest Impact
rear vs. any fender
front, compartment, rear, any fender vs. rollover
Seated Position:
driver with passenger(s) vs. RF
CF vs. driver with passenger + RF
rear vs. driver with passenger + CF + RF
Occupant Age
65+ vs. 55-64
55-65+ vs. to 19
35-54 vs. 20-34
(to 19) + (55+) vs. 20-54
Height of Occupants
49-60 vs. 73+
61-66 vs. 67-72
(49-60) + (73+) vs. 61-72
up to 48 vs. 4O+
Weight of Occupants
up to 124 vs. 150 and more
Year of Manufacture
1952 vs. 1954
Area of Severest Impact
Compartment vs. front
Accident Severity
minor + extremely severe + extreme vs. moderate + severe
Oceupant Age
25-34 vs. 20-2)
15-19 vs. up to 14
Sex of Occupants
female vs. male
Height of Occupants
37-48 vs. up to 36
Weight of Occupants
up to 99 vs. 100-124
150-174 vs. 175 and more
(up to 124) + (150 and more) vs. 125-149
Year of Manufacture
1953 vs. 1952 + 1954
1955 vs. 1956
through 1954 vs. 1955 and later
Occupant Age
45-54 vs. 35-4)
Year of Manufacture
1955 + 1956 vs. 1957
36
Condition
''vo
''3.
8.
16.
6.
Te
15.
21.
25.
26.
32.
12%
L's
14,
22.
ak,
27.
29.
De
ll.
17.
28.
30.
31.
33.
3h.
35-6
37
38.
39.
h,
10.
18.
20.
23.
36.
APPENDIX he
DANGEROUS +
Factors
Applicable Impact Speed:
(20-59) vs. (0-19) + (60+)
Accident Severity:
minor vs. extremely severe + extreme
moderate vs. severe
Ejection:
not ejected vs. ejected
Applicable Impact Speed:
(0-19) vs. (60+)
Area of Severest Impact:
rear, any fender vs. front, compartment
front, compartment, rear, any fender vs. rollover
Seated Position:
FATAL
driver with passenger + CF + RF + rear vs. driver alone
Occupant Age:
55-65+ vs. to 19
Height of Occupants:
49-60 vs. 73+
61-66 vs. 67-72
up to 124 vs. 150 and more
Applicable Impact Speed:
(20-39) vs. (40-59)
Seated Position
driver with passenger vs. RF
CF vs. driver with passenger + RF
rear vs. driver with passenger + CF + RF
Occupant Age:
35-54 vs. 20-34
Sex of Occupants:
female vs. male
Height of Occupants
(49-60) + (73+) vs. 61-72
up to 48 vs. 49+
Area of Severest Impact:
rear vs. any fender
Accident Severity:
minor + moderate + severe + extremely severe + extreme
vs. moderately severe
Occupant Age:
65+ vs. 55-6
Height of Occupants
37-48 vs. up to 36
Weight of Occupants:
up to 99 vs. 100-124
150-174 vs. 175 and more
(up to 124) + (150 and more) vs. 125-149
Year of Manufacture:
1952 vs. 1954
1953 vs. 1952 + 1954
1955 vs. 1956
1955 + 1956 vs. 1957
through 1954 vs. 1955 and later
Area of severest Impact
compartment vs. front
Accident Severity
minor + extremely severe + extreme vs. moderate + severe
Occupant Age
45-54 vs. 35-4h
25-34 vs. 20-2)
15-19 vs. up to 14
(to 19) + (55+) vs. 20-54
Year of Manufacture
pre-1952 vs. 1952 + 1953 + 1954
37
Condition
''''APPENDIX 5
FREQUENCIES ON WHICH 312 TESTS WERE BASED
38
''''aRoctOog 43
=
Eure
10
a
*
mo +B ct
f
FRPP FWNH FWP FReRYP FUNE FRePH FWRH FURH FUR
FATAL VS. ALL OTHERS
Fatal Total
Injuries None-F atal
Top Bottom Top Bottom
._Row Row Row Row
Q 2 25 = 165
0. $ 78 90
Oo 8 816 3h 163
0 20 8 138
1 11 167 307
i, —e- 36 278
oO 18 27). . ),38 -
Zz 11 185 26h
12 48623) 7h S190
15 9 62h 168
18 461606712 ~—Sss«197
14 20g 146
2 15 81 = 282.
10 8 188 399
3 19 119 403
12 19 Uy1 276
a 2 50 35
0 0 56 hig
OQ 0 LS 37
0 1 58 39
2 17 85 363
0 18 105 587
O 22 82 522
1 31 97 417
19 22 Ls 290
18 11 692 213
22 1 60h 350
32 9 Sih Uh
0 7 4 27
1 3 186 19
0 6 38 27
2 nM 90 16
2 2h 211 153
Q 27 358 8h
1 17 357 150
lL 2 266 126
7 26 59 36h
h 617 205 2:
6 18 65 507
6 25 106 392.
xe
2.8
6.)
2oh
©
28
4eO
929
1.6
2320
320
11.9
21.0
hed
Fatal» Total
Dangerous Non-Fatal
Top Bottom Top Bottom
p Row Row Row Row
- 2 4 25 165
02-01 1 23 78 90.
- OO 33 34, 163
@° OO... 32... 8-138. |
~ 6 20 £4367 307
05-02 21 26 346 278
eOL 19 8647 27, 438
- 9 23 185 26)
e0L 260) 3 47h 190
- 7 2; 62h 168
201 66 33 712 197
e0l 32 ai hug 146
- kh 2 81 6.282
= 25 29 188 399
#- il1 39 119 8403
- 20 30 Wl 276
‘= Q 3 500s 35
“ L Q 56 9
- 1 3 4537
~ 3 58 3839
- 3 32 85 363
- 1 5h 105 587
-~ 4 SO 82 522
05-02 5 50 97 17
- 35 he bug 290
- 55 28 692 213
- 54 6 £604 350
- 55 18 5, bh
eOL 1 . 8 32 27
Ol 2 6 186 19
e0l 1 10 38 27
Ol 3 7 90 16
el kh YO aL 153
e001 IL 33 358 8h,
0113 35 357 150
el h 36 26 126
- 9 Ih 59 = 36h
- 8 kh 205 dhe
- lm 28 65 507
- 10 O £106. 392
FATAL-DANG. VS. ALL OTHERS
x2
206
182
G9
lel
1.3
1.9
205
129
41.0
66
Bel
2107
lel
de? :
20
o7
203
ee)
05
02
220
702
bad
302
Tel
he?
307
6.0
3520
11.0
2125
46.8
95.05
5 oh
6e2
207
05-02
02-01
201
e201
eO1
O01
201
e01
OL
02-01
''
= aE
Pr =e Se oer ee ee a tp eS ope oe ea Ea Fo rage > _ a a a ea IN ITS RET EEE Le
TO JA". By" Sunt Ta
iscot wfesat
Were te ee ae ee oe
fetsTenot evoreaied -
% . motion get totto® gol |
a 7
- OS. das as 0 gh.
—" fOer~ S,0f. 00 7 ay fo" o£
oo. fa "Ye: fe 9
é
me
~ of BEF . 8° fo 8
~ fof for §ar ; 4
- Gel’ BY2 .oue oS 8
- te Cab MPs Via cr
- C.of © dds 282 fs
Le ; Oe fst NeL “ :
fORSQ 3.8 9 3d”
We = £08 Yer ° Sey
£Oe TLS Ofr Qil
-
-—3
or...
dof 88S Bk
S020 Sed ORE, BBE KS aS
» Ox, POs er ef EL
- Te VS fr oe as
GS .e€ Of ¢
fr
CG
*
:
*
1
coe)
TE
os PL
L.
oc tm
OVW FS PH
co
P
a) A
mn
?
Tt
or
5
+
te Ta
=.
5
} § SF t
£05 O42 RE ons 3. 5
[0s Ga it 1S BE OL J
mo S
7 ~~
: Geol Get xs tate
TDs, ject Ro Sen gE ic
Me eae) Off Pit Be ef
IC, i. Pid Age ass OE
foes 39 Ski gos iif
O.F oo. tah te
iy "ba
‘ wor wok’ woil wok q
Pie SO"
—
Ce ey
PTO, *6
“
sai
433
-
8.8
Deal °
24?
*
“
De °
-
OL
Ge
re} «
e
QAHHTO WIA .2% JATAD &
Lede i-srt0¥ gebrubaL
mottod gol motsgeg got
wofl. wou woh = wot
we
2
wy z 2
fstoT isdst-:. @
z
9
af és ES = 0.9
Oe? ay. 8 Gi
far He eft:
BEF 5 OS 5
Baim & ike
yes. Jor: £f i
STS ,
fet . AY =
Has: § g8L re F
.
ng
sy
>
wf wih
— ¥
—
Of iT “§ of of
B6f. 53 e ac 3¢
Jer SET, Oe BEE
Oye’ Oh. GS ue: g
S6S Lis eo 8 L.
VEE Bot a OL 2:
of Off. et €&.€
Ags’ opts er Sig
ue
243
g
To"
XE
Gua
on
Ne “35 > “.
£30 28 VE y c
. “9 / <, ”
; A aor of 3 4S
ae: se ‘ss’ oOo. €
Crit ¥ ‘
+
ote
fe.
om
e
OLS Ade 8s er f
Res” 8a rE er $0
Oct (02 alr $3e =
fit ARS § Seo
*
Vs Sf. . o of
a aur € £8
S68 &. O &€
GL. 5¢@ yh" $ u,
ef ms ue os £
shu. Bk, Yi 3 $
Gar. = FE ia Se
osy Jd o £ of
pos 23 3S r JZ
Slo BGs v4 & §
Wot Fe at o €£
See cage 2g oo
a
wf MPA
“ee
''FATAL VS. ALL OTHERS
Fatal Total
Injuries None-Fatal
Top Bottom Top Bottom
Row Row Row Row
423, 25
" @ crm cH
i e@HOoctaQ gw
1 7
2 22 7 647 23h
3 & u 572. 379
h» 31 8 498 17
1221 13 12 210 18)
2 9 331 25
3 8 8 270 8=2h8
h 13 12 185 157
i 2 2 63 39h
2 1 20 67 576
3 1 16 89 518
4 1 25 50 632
wl 3 = 27 138 457
2 L 2h 135 643
3 3 17 177. +607
h 3 2 113 392
151 30 8 595 101
2 22 7 778 = 96
3 20 13 78h yh
hk 29 7 505 115
161 11 27 580 158
2 12 HN 780 137
3 20 16 788 171
h 22 19 554 106
171 862 ~—(CO4& 23.043
2 1 5 i? 71
3 OO 3 21 22
h uw 6 2335
wi 0 12 69 103
2 5 3 75 #115
3 k 8 53 123
ho 2 8 60 85
191 7 9 157 132
& 6 4 9 130
3 9 #5 211 208
h 8 6 125 107
20 1 2 3 119 76
2 h 1 172 «112
3 5 2 20) 99
4 h 6 102 #110
x2
Pp
02-01
seang arse
peur
re
FATAL=DANG. VS. AL% OTHERS
Fatal- Total
Dangerous Non-F atal
Top Bottom Top Bottom
Row Row Row Row x2
53 #19 423 25 3
52 29 647 23k 30h
59 «= 572 379 oS
50 22 498 =-1h7 2.3
23 «22 210 18) 20
30 ©6330 331 =2h5 le2
23-28 270 386.28 «8
2L 21 185 157 2
5 4s 63 39h ol
3 60 67 576 1.8
3 Sl 89 518 302
1 2 50 = 3h2 37
9 50 138 ©6457 1.8
9 63 135 643 1.0
2 5h 177 607 5
8 43 113392 lel
59 15 595 10l le?
72 «+12 778 96 e7
66 33 78 ly 2563
51 16 505 115 1.0
31 he 580 158 605
47-37 780 137 5902
58 2 788 171 4207
hl 32 554-106) he?
h 8 23.43 Pe)
9 9 7 71 5
3 21 8622 «2
10 23 35 lel
1
3
h 20 69 103 503
1 12 75 #125 ek
10 16 53 123 6
5 12 60 85 06
8 18 157 132 Se
12 «lb 149 =130 03
30 «25 211 208 3
ll UW 125 107 o7
9 3 119 76 5
16060 1 i72 6i@ Tel
15 3 20), 99 15
9 10 102 110 &
OO» oh eee! oe
'S
05-02
''£06
rrr
£0»
SD
eo
ie
€e8S
LsdoT
Late Tea it.
meFtod
wosl
ass
HES
Ayo
O28
LOL
ae
Ctr°
> .
IW rai
(4 te
fv
a.
SV¥iRS OD
AU Es
eo
sei
OFF
yor
a
Sit
ee
OIL
= tr fe,
qoT motsod
wos wok
£Sii OL
V1 a” es
sv2 is
Ae1) SS
"Ose 6 6Ss ll.
fee Oz,
OYS ¢ 88°
ehi £s
ES ay
tO 0
638 id
od oy
BER. ce.
efse ga
Tra gid
Cif £4
22
nw
2
“TA.
€ a
x
i _
a, Sf£*
(oa: ngs Hh
pets | fe
e0e 9
~~
oa ‘
Ss
a
OUy. re.
ar oe
foe ae
oe
att
325 OG
Yue «
£o e
* Ses
-¢ OF
ei £
63 0g
aah as
be CA.
ery
Cikde
&
SVL £
e
fos
SOL. OL
UATATATAT
~fatea:
evotegns(.
qo
wo
Im™
uns
~
o
ka
Qu
fv
b3 +9 b%
mmr ns mMmMorm
226s:
i
ia<¢4
Sy
A
Sea
Ue
Ve
0
*
«
ys t~
“
Wns cy
=> *.8 .
ON
Taye ar
—5
2
t.
*
>"
Bs ,
.
anmiTd its sev Atay
dgto?
Lage aiiowt
got” inode
- motsod
wor
les:
Wye.
gilt
eae
ere
ese
25
ser
Ger
80S
TOL
Sit
te.
oft
ate
WOs:
€Su
yua
Sf
C a
2s.
outt
ors
Set
See ak,
GEE
SYL
LOS
SOL
fotdh
net
wo ”
,
\
we ful Sw
CR.GO Fee LD
fen
Oe be py Oirtiied.
thi “
got’
yon"
eg:
co
os
67 EU LP: tes 2 fs “> .
Cor se:
te.”
TP tO be eM Be.
wes mM 1 In
©
cir
lors
tain
SPA LSE: TPO.
Tamia er
mmvr
af
. i
‘ay
>
al:
FL
Sr
¢
''8 OH OctOaO gS
A Octem tM
ny
i)
™ nm —~ ND ~ —
@ SJ On Wr = WwW
FwWNRHP FUNKE FWNH FWNP FWP FWNP FWNHY FWPH FWNHP FUpH
nN
XO
w
oO
*
FATAL WS. ALL OTHERS
Fatal Total
Injuries None«F atal
Top Bottom Top Bottom
Row Row Row Row
6 5 66 195
6 5 118 28)
3 7 43 303
7 10 58 212
12 16 172 289
8 10 190 279
12 Uy 176 19
10 14 1y5 232
11 28 261 61
1. 3=«(18 402 69
10 26 36 595
17 2h 270 377
6 35 214 520
10 19 343 50
6 30 2h6 696
15 26 232 15
0 3 28 8628
0 2 52 6
0 1 27) ok
0. 0 31 8632
8 27 205 383
9 16 317 391
5 26 183 515
13 23 197 318
3 35 56 588
2 25 98 708
pi 31 71 698
0 36 63 515
1 1 ly, 27
0 0 20 «25
L i 2h = 33
iL 2 31 27
2 38 hl 6h
O 27 45 806
2 32 57 769
a 36 58 578
2 2 56 «89
0 77 140
2 i 86 100
h 3 83 85
S
FATAL-DANG. VS ALL OTHERS
Fatale Total
Dangerous Non-Fatal
Top Bottom Top Bottom
Row Row Row Row
12 12 66 195
18 17 118 = 28
h 18 43 303
13 19 58 «212
2h 26 172 289
23 26 190 279
26 55 176 =19
17 25 W5 232
2h 50 261 461
35 uo 02 69
220681595
32 2 270 377
16 61 214 520
29 55 343 5h0
21 ~2«~=-82 246 696
21 «453 232 =
1 3 28 28
1 6 52 6
0 8 27 Lh
0 h 31 32
14 5h 205 383
31 hl 317 391
Ly 68 183 515
20 hh 197 318
h 68 56 6588
7 72 98 708
8 82 71 698
4 6h 63 515
1 i ly 27
0 0 20 25
1 2 2h 33
1 3 31 27
2 72 ya 644
0 be 45 806
3 90 57 «769
4 68 58 578
2 h 56 89
1 12 77 140
h 5 86 100
6 in 83 85
x2
Tee
79
o3
667
203
7
ol
20
3
06
liel
20
205
05
1.6
1.7
03
3.0
309
2s3
Pp
''eee
Ory
tee
~
¢
1)
EG~8G,
-”
—
~~
PMMHTO Lie BV -DMACMATAY
efstad
0.
he
Le
fadoT
Lets G0
modtod
Wood
eer
{5s
” £0£
S£s
8S
ess
+. RL
~ ae
c. Ede
3
worl
ad
BLS.
a
vf
“ORE
oy
alt
AO
L 2
ei
abe
OTs
des
Cc
yd
es
NS
fe!
aos
o TLE.
fn es
Tel.
‘
Smit ta
Al (ut. &
—1 Sy
0) 0-4. 7u
Q’
GC
wos
“4&1 w
Friis Rain
cy
ray
>
’
Wstv
fui Mf
Ot. bs iu
esorsaned
got motsod got
wo
?
ye .
Sy
Yat
fos
Oak
2
.
Ws
Oweo 1M
Oo.
cmmano wing ae > « am © a“ _ «
''''ES2h9Ebe0?
a
Aa tayea8 ON
''