Safety Evaluation of the Safety Edge Treatment
Chapter 3. Preliminary Analysis Results for Field
Measurements of Pavement-Edge Drop-Offs
This chapter presents preliminary analysis results for field
measurements of pavement‑edge drop‑offs. Field measurements of
drop-off heights were made to evaluate the comparability of existing pavement-edge
drop-offs for the treatment and comparison sites in the period before
resurfacing and to verify that the safety edge treatment does not encourage the
development of pavement-edge drop-offs in the period after resurfacing.
Field data for pavement-edge drop-off heights were collected
for each participating agency for both treatment and comparison sites in the
period before resurfacing and during each year after resurfacing. The field
data collection methodology is presented in appendix B. A few sites were
resurfaced before field visits could be made. Consequently, these sites were
excluded from the analysis of before-period drop-off height data presented in
this chapter.
3.1 Comparison of Drop-Off Measurements for Treatment and Comparison Sites Before
Resurfacing
A formal assessment of the comparability of the treatment and
comparison sites with respect to the presence of pavement-edge drop-offs in the
period before resurfacing was undertaken. The measure used for this comparison
was the proportion of drop-off heights exceeding 2 inches. This criterion was used based on research
indicating that pavement-edge drop-off heights exceeding 2 inches may affect
safety.(1) It should be noted that this previous research was
conducted on sites without the safety edge treatment.
It would be desirable if the proportion of sites with pavement-edge
drop-off heights exceeding 2 inches were similar for the treatment and
comparison sites in the period before resurfacing. An analysis to make this comparison was conducted by performing a logistic
regression analysis using the LOGISTIC procedure in SAS®.(3) This procedure uses the Fisher scoring method to estimate the statistical significance of differences in
proportions between the treatment and comparison sites.
Ideal results for this analysis would have been obtained if
the difference between the proportions of
drop-off heights exceeding 2 inches for the treatment and comparison sites were
not statistically significant at some
predetermined significance level. A statistically significant result would be
indicated by an odds ratio point estimate
that was significantly greater than or less than 1.0 (i.e., the confidence interval for the odds ratio does not
contain 1.0). Conversely, for a difference that is not statistically
significant, the odds ratio for the difference would contain 1.0. If the odds
ratio could not be determined by maximum
likelihood due to small sample size or poor variation of responses (i.e.,
identical responses for each site type or non-overlapping responses between
site types), then an exact test was performed and a median unbiased estimate of
the odds ratio was provided.
The results of this
analysis for each State, roadway type, shoulder type, and treatment type combination,
including the frequency and proportion of measurements exceeding 2 inches, the odds ratio point estimate, the odds ratio
confidence interval, and the statistical significance of the odds ratio point estimate, are given in table
6. Odds ratio values above 1.0 in this table indicate that
comparison sites had a greater probability of experiencing drop-offs exceeding
2 inches than treatment sites.
Table 6. Comparison of the proportions of drop-off heights exceeding 2 inches for the period before resurfacing.
State |
Roadway type |
Shoulder type |
Site type |
Drop-off heights that exceed 2 inches |
Odds ratio point estimate |
Lower confidence limit |
Upper confidence limit |
Statistically significant at 0.05 level? |
Number |
Proportion |
GA |
Multilane |
Paved |
T |
2 |
0.07 |
0.909 |
0.184 |
6.596 |
No |
C |
5 |
0.06 |
Two-lane |
Paved |
T |
10 |
0.03 |
4.591 |
2.211 |
10.259 |
Yes |
C |
25 |
0.14 |
Unpaved |
T |
23 |
0.09 |
1.557 |
0.876 |
2.799 |
No |
C |
29 |
0.13 |
IN |
Two-lane |
Paved |
T |
6 |
0.04 |
2.519 |
0.902 |
7.642 |
No |
C |
10 |
0.10 |
Unpaved |
T |
150 |
0.39 |
0.423 |
0.291 |
0.608 |
Yes |
C |
53 |
0.22 |
NY |
Two-lane |
Paved |
T |
36 |
0.38 |
0.028 |
0.000 |
1.620 |
No1 |
C |
0 |
0.00 |
1 Indicates that median unbiased estimate
was used.
T = Treatment sites
resurfaced with safety edge.
C = Comparison sites resurfaced without
safety edge.
The results in table
6 indicate that in the period before resurfacing, there
were relatively equal proportions of extreme
drop-off heights between treatment and comparison sites for Georgia sites
on multilane highways with paved shoulders
and two-lane highways with unpaved shoulders. This finding indicates that these
two types of sites were relatively well matched in terms of shoulder conditions in the period before
resurfacing. By contrast, the findings for Georgia sites
on two-lane highways with paved
shoulders suggest that there was a statistically significant chance that
comparison sites had greater proportions of drop-offs exceeding 2 inches.
For Indiana sites on two-lane highways with paved shoulders,
there was a greater proportion of extreme drop-off heights for the comparison
sites than for the treatment sites in the period before resurfacing, but the difference was not statistically significant. The
opposite was the case for Indiana sites
on two-lane highways with unpaved shoulders and for New York sites on two-lane
highways with paved shoulders. In
these cases, the treatment and comparison sites were not perfectly matched in
terms of shoulder conditions in the period before resurfacing. For Indiana,
this difference was statistically
significant. Some differences of this sort may have been inevitable because
resurfacing projects that received the safety edge treatment were not
selected based on consideration of the existing shoulder condition. This is a
potential confounding factor that should be considered in interpreting the
research results.
3.2 Comparison of Drop-Off Measurements between the Before and After Resurfacing periods
The field measurement data for pavement-edge
drop-offs were initially reviewed by State, roadway type, shoulder type,
and treatment type. Table
7 presents summary descriptive statistics for these measures for each study period. Figure 2 presents histograms for a sample of the distributions
and shows the impact of resurfacing for both treatment and comparison
sites.
Table 7. Summary of pavement-edge drop-off height measurements.
State |
Road type |
Shoulder type |
Site type |
Before resurfacing |
After resurfacing (Year 1) |
Number of measurements |
Drop-off height (inches) |
Coefficient of variation % |
Number of measurements |
Drop-off height (inches) |
Coefficient of variation % |
Minimum |
Mean |
Median |
Maximum |
Standard deviation |
Minimum |
Mean |
Median |
Maximum |
Standard deviation |
GA |
Multilane |
Paved |
T |
30 |
0 |
0.783 |
0.750 |
2.000 |
0.618 |
79 |
59 |
0.375 |
1.047 |
0.875 |
2.875 |
0.504 |
48 |
C |
82 |
0 |
0.811 |
0.750 |
3.000 |
0.710 |
88 |
86 |
0.250 |
1.038 |
1.000 |
2.375 |
0.467 |
45 |
Two-lane |
Paved |
T |
291 |
0 |
0.546 |
0.500 |
3.750 |
0.611 |
112 |
289 |
0.000 |
0.960 |
1.000 |
2.375 |
0.495 |
52 |
C |
178 |
0 |
0.912 |
0.750 |
4.000 |
0.912 |
100 |
150 |
0.000 |
0.887 |
0.875 |
1.875 |
0.471 |
53 |
Unpaved |
T |
270 |
0 |
0.881 |
0.750 |
3.750 |
0.695 |
79 |
273 |
0.000 |
0.941 |
0.875 |
2.500 |
0.495 |
53 |
C |
229 |
0 |
1.076 |
1.000 |
4.750 |
0.804 |
75 |
466 |
0.000 |
0.945 |
0.875 |
2.875 |
0.556 |
59 |
IN |
Two-lane |
Paved |
T |
136 |
0 |
0.630 |
0.500 |
3.500 |
0.598 |
95 |
158 |
0.000 |
0.703 |
0.625 |
1.875 |
0.356 |
51 |
C |
96 |
0 |
0.960 |
0.750 |
3.250 |
0.708 |
74 |
137 |
0.250 |
1.340 |
1.125 |
4.250 |
0.707 |
53 |
Unpaved |
T |
380 |
0 |
1.758 |
1.625 |
5.125 |
0.778 |
44 |
367 |
0.250 |
1.653 |
1.500 |
4.500 |
0.737 |
45 |
C |
245 |
0 |
1.353 |
1.250 |
6.875 |
0.930 |
69 |
279 |
0.125 |
1.168 |
1.000 |
5.250 |
0.673 |
58 |
NY |
Two-lane |
Paved |
T |
94 |
0 |
1.681 |
1.500 |
5.125 |
1.270 |
76 |
77 |
0.000 |
1.110 |
0.875 |
4.000 |
0.886 |
80 |
C |
42 |
0 |
0.777 |
0.750 |
1.750 |
0.487 |
63 |
83 |
0.000 |
1.065 |
1.000 |
2.750 |
0.480 |
45 |
State |
Road type |
Shoulder type |
Site type |
After resurfacing (Year 2) |
After resurfacing (Year 3) |
Number of measure-ments |
Drop-off height (inches) |
Coefficient of variation % |
Number of measure-ments |
Drop-off height (inches) |
Coefficient of variation % |
Minimum |
Mean |
Median |
Maximum |
Standard deviation |
Minimum |
Mean |
Median |
Maximum |
Standard deviation |
GA |
Multilane |
Paved |
T |
65 |
0.500 |
1.175 |
1.000 |
3.000 |
0.448 |
38 |
65 |
0.500 |
1.175 |
1.000 |
3.000 |
0.448 |
38 |
C |
86 |
0.250 |
0.906 |
0.813 |
2.500 |
0.455 |
50 |
86 |
0.250 |
0.907 |
0.875 |
2.500 |
0.442 |
49 |
Two-lane |
Paved |
T |
212 |
0.000 |
0.956 |
0.875 |
2.250 |
0.455 |
48 |
254 |
0.000 |
1.087 |
1.000 |
3.375 |
0.432 |
40 |
C |
152 |
0.375 |
1.166 |
1.125 |
2.250 |
0.356 |
31 |
164 |
0.250 |
1.104 |
1.125 |
2.250 |
0.372 |
34 |
Unpaved |
T |
238 |
0.125 |
1.179 |
1.000 |
3.563 |
0.571 |
48 |
259 |
0.250 |
1.107 |
1.000 |
3.563 |
0.566 |
51 |
C |
426 |
0.000 |
1.163 |
1.125 |
3.250 |
0.548 |
47 |
448 |
0.000 |
1.119 |
1.063 |
3.250 |
0.526 |
47 |
IN |
Two-lane |
Paved |
T |
187 |
0.000 |
0.788 |
0.750 |
2.250 |
0.379 |
48 |
189 |
0.125 |
0.780 |
0.750 |
2.250 |
0.398 |
51 |
C |
102 |
0.250 |
1.456 |
1.250 |
4.375 |
0.857 |
59 |
147 |
0.000 |
1.344 |
1.250 |
3.875 |
0.609 |
45 |
Unpaved |
T |
370 |
0.250 |
1.916 |
1.750 |
6.875 |
0.993 |
52 |
373 |
0.250 |
1.584 |
1.375 |
4.500 |
0.774 |
49 |
C |
280 |
0.000 |
1.353 |
1.250 |
5.500 |
0.764 |
56 |
290 |
0.125 |
1.236 |
1.125 |
4.500 |
0.676 |
55 |
NY |
Two-lane |
Paved |
T |
78 |
0.375 |
1.786 |
1.344 |
5.125 |
1.191 |
67 |
78 |
0.375 |
1.786 |
1.344 |
5.125 |
1.191 |
67 |
C |
81 |
0.625 |
1.446 |
1.375 |
3.250 |
0.497 |
34 |
81 |
0.625 |
1.446 |
1.375 |
3.250 |
0.497 |
34 |
T = Treatment sites resurfaced with safety
edge.
C = Comparison sites resurfaced without
safety edge.
Figure 2. Graph. Drop-off height measurement distributions for two-lane highways with paved shoulders in Georgia.
In each graph shown in figure
2, the vertical blue line marks a 2-inch drop-off
height. The mean drop-off height did not vary between the before and after
periods. For almost all roadway type/ shoulder type/treatment type
combinations, the coefficient of variation (i.e., relative standard deviation) of drop-off height decreased
substantially between before resurfacing and each of the first 2 years after resurfacing
but increased again following the second year after resurfacing.
To formally assess whether
the safety edge treatment has any effect on pavement-edge drop-offs, a trend analysis evaluating the change in
drop-offs from before to after resurfacing was conducted. Specifically, the proportion of drop-off height
measurements exceeding 2 inches was evaluated to determine if there were
differences between the before and after study periods. This analysis was
carried out using the same logistic regression approach presented in section 3.1.
However, in this case, the proportions of
drop-off heights exceeding 2 inches were compared between the periods before and after resurfacing for each type of site
rather than between treatment and comparison sites.
The ideal trend for this analysis would be indicated by a substantial
decrease in drop-off height for the first year after resurfacing, possibly
followed by a slow increasing trend in the later years back to the drop-off
height that existed before resurfacing. To evaluate this trend, all pairwise
comparisons between years were evaluated for statistical significance. Four of
the comparisons: before versus after year 1, after year 1 versus after year 2, after
year 2 versus after year 3, and before versus after year 3 have been
summarized.
For before versus after year 1, an odds ratio point estimate less
than 1.0 indicates that after year 1 had more drop-off heights exceeding 2 inches
than the period before resurfacing. A confidence interval for the odds ratio
that does not contain the value 1.0 indicates statistical significance. Since
the odds ratios were less than 1.0 in 3 of the 12 cases shown in table
8, the sites in after year 1 generally had fewer
drop-off heights exceeding 2 inches than the sites in the period before resurfacing. Also, the three cases when after
year 1 had more drop-off heights exceeding 2 inches than the period before resurfacing were not
significant. Thus, it appears that resurfacing tends to reduce the
proportion of extreme drop-off heights.
Table 8. Comparison of the proportions of drop-off heights
exceeding 2 inches between
the before and after resurfacing periods.
State |
Roadway type |
Shoulder type |
Site Type |
Test |
Proportion Period 1 |
Proportion Period 2 |
Odds ratio point estimate |
Lower 95% confidence limit |
Upper 95% confidence limit |
Statistically significant at the
0.05 level? |
GA |
Multilane |
Paved |
C |
Period Before vs
AfterY1 |
0.06 |
0.06 |
1.05 |
0.28 |
3.92 |
No |
C |
Period Before vs
AfterY2 |
0.06 |
0.03 |
1.80 |
0.43 |
8.99 |
No |
C |
Period Before vs
AfterY3 |
0.06 |
0.08 |
0.73 |
0.21 |
2.39 |
No |
C |
Period AfterY1 vs
AfterY2 |
0.06 |
0.03 |
0.59 |
0.12 |
2.46 |
No |
C |
Period AfterY1 vs
AfterY3 |
0.06 |
0.08 |
1.44 |
0.44 |
5.03 |
No |
C |
Period AfterY2 vs
AfterY3 |
0.03 |
0.08 |
2.45 |
0.66 |
11.68 |
No |
T |
Period Before vs
AfterY1 |
0.07 |
0.07 |
0.98 |
0.13 |
5.35 |
No |
T |
Period Before vs
AfterY2 |
0.07 |
0.08 |
0.86 |
0.12 |
4.25 |
No |
T |
Period Before vs
AfterY3 |
0.07 |
0.09 |
0.70 |
0.10 |
3.27 |
No |
T |
Period AfterY1 vs
AfterY2 |
0.07 |
0.08 |
1.15 |
0.29 |
4.83 |
No |
T |
Period AfterY1 vs
AfterY3 |
0.07 |
0.09 |
1.40 |
0.38 |
5.72 |
No |
T |
Period AfterY2 vs
AfterY3 |
0.08 |
0.09 |
1.22 |
0.35 |
4.44 |
No |
Two-lane |
Paved |
C |
Period Before vs
AfterY1 |
0.14 |
0 |
infinity |
12.13 |
infinity |
Yes |
C |
Period Before vs
AfterY2 |
0.14 |
0.05 |
3.38 |
1.49 |
8.70 |
Yes |
C |
Period Before vs
AfterY3 |
0.14 |
0.03 |
6.17 |
2.33 |
21.32 |
Yes |
C |
Period AfterY1 vs
AfterY2 |
0 |
0.05 |
infinity |
3.24 |
infinity |
Yes |
C |
Period AfterY1 vs
AfterY3 |
0 |
0.03 |
infinity |
1.60 |
infinity |
Yes |
C |
Period AfterY2 vs
AfterY3 |
0.05 |
0.03 |
0.55 |
0.14 |
1.86 |
No |
T |
Period Before vs
AfterY1 |
0.03 |
0.03 |
1.11 |
0.44 |
2.83 |
No |
T |
Period Before vs
AfterY2 |
0.03 |
0.02 |
1.85 |
0.61 |
6.82 |
No |
T |
Period Before vs
AfterY3 |
0.03 |
0 |
10.64 |
2.02 |
195.83 |
Yes |
T |
Period AfterY1 vs
AfterY2 |
0.03 |
0.02 |
0.60 |
0.16 |
1.86 |
No |
T |
Period AfterY1 vs
AfterY3 |
0.03 |
0 |
0.10 |
0.01 |
0.56 |
Yes |
T |
Period AfterY2 vs
AfterY3 |
0.02 |
0 |
0.17 |
0.01 |
1.19 |
No |
Unpaved |
C |
Period Before vs
AfterY1 |
0.13 |
0.06 |
2.36 |
1.36 |
4.10 |
Yes |
C |
Period Before vs
AfterY2 |
0.13 |
0.1 |
1.29 |
0.78 |
2.12 |
No |
C |
Period Before vs
AfterY3 |
0.13 |
0.08 |
1.68 |
0.99 |
2.84 |
No |
C |
Period AfterY1 vs
AfterY2 |
0.06 |
0.1 |
1.83 |
1.11 |
3.04 |
Yes |
C |
Period AfterY1 vs
AfterY3 |
0.06 |
0.08 |
1.40 |
0.83 |
2.38 |
No |
C |
Period AfterY2 vs
AfterY3 |
0.1 |
0.08 |
0.77 |
0.48 |
1.23 |
No |
T |
Period Before vs
AfterY1 |
0.09 |
0.03 |
2.73 |
1.28 |
6.34 |
Yes |
T |
Period Before vs
AfterY2 |
0.09 |
0.13 |
0.62 |
0.35 |
1.10 |
No |
T |
Period Before vs
AfterY3 |
0.09 |
0.09 |
0.99 |
0.53 |
1.85 |
No |
T |
Period AfterY1 vs
AfterY2 |
0.03 |
0.13 |
4.39 |
2.13 |
9.99 |
Yes |
T |
Period AfterY1 vs
AfterY3 |
0.03 |
0.09 |
2.76 |
1.28 |
6.46 |
Yes |
T |
Period AfterY2 vs
AfterY3 |
0.13 |
0.09 |
0.63 |
0.35 |
1.12 |
No |
See notes at end of table.
Table 8. Comparison of the proportions of drop-off heights exceeding 2 inches between the before and after resurfacing periods-Continued.
State |
Roadway type |
Shoulder type |
Site Type |
Test |
Proportion Period 1 |
Proportion Period 2 |
Odds ratio point estimate |
Lower 95% confidence limit |
Upper 95% confidence limit |
Statistically significant at the
0.05 level? |
IN |
Two-lane |
Paved |
C |
Period Before vs
AfterY1 |
0.10 |
0.17 |
0.58 |
0.25 |
1.24 |
No |
C |
Period Before vs
AfterY2 |
0.10 |
0.27 |
0.31 |
0.13 |
0.66 |
Yes |
C |
Period Before vs
AfterY3 |
0.10 |
0.1 |
0.70 |
0.30 |
1.52 |
No |
C |
Period AfterY1 vs
AfterY2 |
0.17 |
0.27 |
1.88 |
1.01 |
3.53 |
Yes |
C |
Period AfterY1 vs
AfterY3 |
0.17 |
0.14 |
0.83 |
0.43 |
1.57 |
No |
C |
Period AfterY2 vs
AfterY3 |
0.27 |
0.14 |
0.44 |
0.23 |
0.83 |
Yes |
T |
Period Before vs
AfterY1 |
0.04 |
0 |
infinity |
3.18 |
infinity |
Yes |
T |
Period Before vs
AfterY2 |
0.04 |
0.01 |
8.58 |
1.44 |
163.10 |
Yes |
T |
Period Before vs
AfterY3 |
0.04 |
0.02 |
2.86 |
0.74 |
13.75 |
No |
T |
Period AfterY1 vs
AfterY2 |
0.00 |
0.01 |
infinity |
0.15 |
infinity |
No |
T |
Period AfterY1 vs
AfterY3 |
0.00 |
0.02 |
infinity |
0.94 |
infinity |
No |
T |
Period AfterY2 vs
AfterY3 |
0.01 |
0.02 |
3.00 |
0.38 |
60.92 |
No |
Unpaved |
C |
Period Before vs
AfterY1 |
0.22 |
0.11 |
2.21 |
1.37 |
3.61 |
Yes |
C |
Period Before vs
AfterY2 |
0.22 |
0.16 |
1.48 |
0.95 |
2.31 |
No |
C |
Period Before vs
AfterY3 |
0.22 |
0.14 |
1.68 |
1.07 |
2.64 |
Yes |
C |
Period AfterY1 vs
AfterY2 |
0.11 |
0.16 |
1.49 |
0.91 |
2.46 |
No |
C |
Period AfterY1 vs
AfterY3 |
0.11 |
0.14 |
1.32 |
0.80 |
2.18 |
No |
C |
Period AfterY2 vs
AfterY3 |
0.16 |
0.14 |
0.88 |
0.56 |
1.40 |
No |
T |
Period Before vs
AfterY1 |
0.39 |
0.28 |
1.65 |
1.22 |
2.24 |
Yes |
T |
Period Before vs
AfterY2 |
0.39 |
0.42 |
0.88 |
0.66 |
1.18 |
No |
T |
Period Before vs
AfterY3 |
0.39 |
0.30 |
1.52 |
1.12 |
2.06 |
Yes |
T |
Period AfterY1 vs
AfterY2 |
0.28 |
0.42 |
1.86 |
1.37 |
2.54 |
Yes |
T |
Period AfterY1 vs
AfterY3 |
0.28 |
0.30 |
1.09 |
0.79 |
1.49 |
No |
T |
Period AfterY2 vs
AfterY3 |
0.42 |
0.30 |
0.58 |
0.43 |
0.79 |
Yes |
NY |
Two-lane |
Paved |
C |
Period Before vs
AfterY1 |
0 |
0.02 |
-infinity |
-infinity |
3.18 |
No |
C |
Period Before vs
AfterY2 |
0 |
0.12 |
-infinity |
-infinity |
0.37 |
Yes |
C |
Period Before vs
AfterY3 |
0 |
0.18 |
-infinity |
-infinity |
0.23 |
Yes |
C |
Period AfterY1 vs
AfterY2 |
0.02 |
0.12 |
5.70 |
1.44 |
37.92 |
Yes |
C |
Period AfterY1 vs
AfterY3 |
0.02 |
0.18 |
9.07 |
2.44 |
58.83 |
Yes |
C |
Period AfterY2 vs
AfterY3 |
0.12 |
0.18 |
1.59 |
0.67 |
3.89 |
No |
T |
Period Before vs
AfterY1 |
0.38 |
0.31 |
2.79 |
1.39 |
5.84 |
Yes |
T |
Period Before vs
AfterY2 |
0.38 |
0.27 |
1.68 |
0.88 |
3.26 |
No |
T |
Period Before vs
AfterY3 |
0.38 |
0.27 |
1.72 |
0.91 |
3.30 |
No |
T |
Period AfterY1 vs
AfterY2 |
0.18 |
0.27 |
1.66 |
0.78 |
3.63 |
No |
T |
Period AfterY1 vs
AfterY3 |
0.18 |
0.27 |
1.62 |
0.77 |
3.52 |
No |
T |
Period AfterY2 vs
AfterY3 |
0.27 |
0.27 |
0.98 |
0.49 |
1.98 |
No |
T = Treatment sites resurfaced with safety
edge.
C = Comparison sites resurfaced without
safety edge.
The odds ratio for the treatment sites was less than 1.0 for
one out of six cases, indicating that resurfacing
with the safety edge treatment is effective in reducing the proportion of
extreme drop-off heights. Resurfacing without the safety edge treatment
was effective in reducing the proportion of
extreme drop-off heights in four of six cases. Additionally, none of the
observed odds ratios less than 1.0 and almost all of the observed odds
ratios greater than 1.0 were statistically significant.
For after year 1 versus after year 2, an odds ratio point
estimate greater than 1.0 indicates that the second
year after resurfacing had more drop-off heights exceeding 2 inches than the
first year after resurfacing. Since there were more drop-off heights exceeding 2
inches in after year 2 as compared to after year 1 (10 of the 12
cases shown in table
8), there appears to be deterioration of the shoulder
condition in the second year after resurfacing. However, only about half of
these observed differences in the proportion of drop-off heights exceeding 2 inches
were statistically significant at the 5 percent significance level.
For after year 2 versus after
year 3, an odds ratio point estimate greater than 1.0 indicates that the third
year after resurfacing had more drop-off heights exceeding 2 inches than the
second year after resurfacing. Since 7 of the 12 cases shown in table
8 have an odds ratio point estimate of 1.0 (or nearly
1.0), which indicates no change in the proportion of drop-off heights exceeding
2 inches, there appears to be minimal
deterioration of the shoulder condition in the third year after resurfacing.
The before period drop-off height data were compared to the
after year 3 drop-off height data to
determine whether drop-off heights had increased to the levels that existed
before resurfacing. For this
comparison, an odds ratio point estimate less than 1.0 indicates that after
year 3 had more drop-off heights exceeding
2 inches than the period before resurfacing. Since the odds ratios were
greater than 1.0 in 7 of the 12 cases shown in table 8, there does not seem to be much evidence to suggest
the proportion of high drop-offs after year 3 differs from the before period.
A final comparison of
drop-off height data was made between sites resurfaced with and without the
safety edge treatment in the third year after resurfacing to determine if the
safety edge treatment has any role in development of drop-offs. The results of
this analysis are given in table
9. Odds ratio values
above 1.0 indicate that comparison sites had more drop-off heights exceeding 2 inches
than treatment sites.
Table 9. Comparison of the proportions of drop-off heights exceeding 2 inches between treatment and comparison sites for the final period after resurfacing.
State |
Road type |
Shoulder type |
Site type |
Drop-off heights that exceed 2 inches |
Odds ratio point estimate |
Lower 95% confidence limit |
Upper 95% confidence limit |
Statistically significant |
Number |
Proportion |
GA |
Multilane |
Paved |
C |
2 |
0.02 |
0.286 |
0.040 |
1.374 |
No |
T |
5 |
0.08 |
Two-lane |
Paved |
C |
6 |
0.04 |
1.034 |
0.341 |
2.922 |
No |
T |
9 |
0.04 |
Unpaved |
C |
38 |
0.08 |
0.796 |
0.476 |
1.349 |
No |
T |
27 |
0.1 |
IN |
Two-lane |
Paved |
C |
21 |
0.14 |
10.332 |
3.470 |
44.394 |
Yes |
T |
3 |
0.02 |
Unpaved |
C |
41 |
0.14 |
0.384 |
0.256 |
0.567 |
Yes |
T |
112 |
0.3 |
NY |
Two-lane |
Paved |
C |
10 |
0.12 |
0.382 |
0.161 |
0.858 |
Yes |
T = Treatment sites resurfaced with safety
edge.
C
= Comparison sites resurfaced without safety edge.
The results in table
9 indicate that there were no differences in extreme
drop-offs between sites resurfaced with and without the safety edge in Georgia.
In Indiana, sites with paved shoulders resurfaced
with the safety edge had fewer drop-offs. However, sites with unpaved shoulders
showed the reverse trend. In New York, sites resurfaced without the safety edge
had fewer proportions of extreme drop-off heights. Taken together, these
results are inconclusive.
The analysis of the field measurements of drop-off-heights
suggests that resurfacing is effective in reducing the proportion of extreme
drop-off heights. It also suggests that resurfacing with the safety edge
treatment does not increase the number of extreme drop-off heights and is
similar to resurfacing without the safety
edge treatment in reducing the proportion of extreme drop-off heights over
time.
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