MBTC 1099 PREPARED BY: FUNDED BY: February 2000 Table of Contents * Table of Figures * Table of Tables * CHAPTER 1 – Executive Summary * CHAPTER 2 - The Manhattan Roundabout * CHAPTER 3 – Experimental Design * CHAPTER 4 – Comparable Intersections * CHAPTER 5 – Safety * CHAPTER 6 – Traffic Volume and Delay * CHAPTER 7 – SIDRA Analysis * CHAPTER 8 – Statistical Analysis of Roundabout and Comparable Intersections – Analysis I * CHAPTER 9 – Statistical Analysis of Candlewood Drive/Gary Avenue Intersection – Analysis II * CHAPTER 10 – Summary and Conclusions * Figure 1 - Roundabout in Manhattan, Kansas * Table 1 - Roundabout Design Speed and Application * APPENDICES Appendix 1: Advisory Committee Appendix 2: Annotated Bibliography Appendix 3: Sample SIDRA Results, Candlewood Drive/Gary Avenue Appendix 4: Sample SIDRA Results, Dickens Avenue/Wreath Avenue Appendix 5: Sample SIDRA Results, Juliette Avenue/Pierre Avenue Appendix 6: News Items, Manhattan (KS) Mercury
Modern roundabouts are becoming a viable intersection alternative in many United States locations. The acceptable operation of the modern roundabout depends on the location having adequate geometric characteristics (i.e.: deflection, splitter islands) and operating under the yield to the traffic in the circle priority rule. Jurisdictions within the State of Kansas are considering roundabouts in over nine locations. To provide a basis for the understanding of the operation of a modern roundabout in Kansas, a study was performed on the only existing modern roundabout in the State. This project examined the operation of a roundabout under two comparative scenarios. The roundabout was located in Manhattan, Kansas and was constructed in the fall of 1997. Operation of the roundabout was observed from videotape recorded using a 360o video camera linked to video recording equipment. Traffic data was obtained through viewing the videotapes. Traffic count data was used as input into a computer simulation program called SIDRA (Signalized and Unsignalized Design and Research Aide). Of the evaluative outputs available, six were chosen relating to the operation of the intersection (95% queue length, average delay, maximum approach delay, proportion stopped, maximum proportion stopped, and degree of saturation). The values obtained for each of these measures of effectiveness (MOEs) were statistically tested to determine under what configuration the intersections operated better. In the first comparison, the operation of the roundabout was measured against two comparable two-way STOP controlled intersections. The values for each of the six MOEs were obtained for the three intersections. The roundabout was found to operate statistically better than the two-way STOP intersections with respect to maximum approach delay, maximum approach stopped and degree of saturation. The roundabout was found to operate statistically worse than the two-way STOP intersections with respect to average delay. Operational conclusions were not able to be made with regard to the MOEs of 95% queue and proportion stopped. In the second evaluation the operation of the roundabout was evaluated against the pre-roundabout two-way STOP intersection configuration, and two four-way STOP control intersection scenarios. When evaluated for average delay, the roundabout and two-way STOP performed statistically equal to each other, and better than either four-way STOP alternative. Under the remaining five MOEs (95% queue, maximum approach stopped, proportion stopped, maximum proportion stopped, and degree of saturation) the roundabout performed statistically better than the 2 and four-way STOP intersection scenarios. Traffic conflicts were studied as a predictor of the safety of the three intersections. However, through viewing of over 180 hours of videotapes, only one traffic conflict was observed. Therefore, evaluation of the intersections was not made with regard to traffic conflicts. Traffic crash records were obtained for thirty-six months before and twenty-nine months after roundabout installation. These crash records were examined to evaluate the change of safety of the intersection when changed to roundabout configuration. Prior to roundabout installation, the intersection experienced an average of 3 crashes per year. Of these crashes, there was an average of 1.33 injury crashes per year. In the twenty-nine months since roundabout installation, there have been no reported traffic crashes. The Manhattan roundabout installation was found to be a good intersection control/ configuration choice. This research project has helped to establish that even at relatively low traffic volumes; roundabout control of an intersection is beneficial. However, caution must be used in taking these results generated from examination of one roundabout site and applying them to all such sites. Much additional study is needed before the engineering community fully understands the operation and safety benefits of roundabouts compared to other intersection control types. This study should be considered a full examination of the Manhattan roundabout, and a first step toward this fuller understanding of roundabout operation. Modern roundabouts have a number of operational and physical characteristics that make them unique, and functional as a traffic control device/ intersection configuration. Old style roundabouts have been called traffic circles, rotaries and gyratories. Modern roundabouts have three primary differences from the old style roundabout: yield at entry, deflection and flare (1). Modern roundabouts operate on the ‘yield to circulating traffic’ rule. The old method of operation was for drivers in the roundabout to yield to vehicles on the right. This resulted in traffic locking up the roundabout when volumes were heavy. By operating under the ‘yield to circulating traffic’ rule, vehicles only enter the circulating stream when there is a suitable gap. This allows the modern roundabout to continue to flow even at relatively high traffic volumes. Modern roundabouts also have properly designed deflection of the entering traffic. The old designs treated roundabouts as weaving sections and were built to facilitate high vehicle entry and circulating speeds. Deflection slows approaching vehicles down to a speed where the safety of the roundabout is greatly enhanced. Operation speeds of modern roundabouts should be kept below 40 kilometers per hour (25 miles per hour) (2).
TABLE 1 - Roundabout Design Speed and Application
Source: (2) Finally, modern roundabouts can have flared approaches. The widening of the approach road to allow for additional entrance lanes increases the flexibility of the operation for drivers and enhances the capacity of modern roundabouts. Theoretically the operation of a roundabout is similar to a series of linked ‘T’ intersections. As such, an approaching driver can check for pedestrian/ bicycle traffic as they approach the intersection, then they have to deal with conflicting traffic from only one direction: the left. Once in the roundabout, the driver continues around until making a right turn to exit the intersection. "Adequate deflection through roundabouts is the most important factor influencing their safe operation" (3). The deflection through the roundabout is created by both the diameter of the center island, and entrance angle created by the splitter island. The central island should be circular; however, other round shapes (i.e.: ovals) are acceptable. In general, roundabout center islands should have a diameter of 5 to 30 meters (15 – 160 feet) (3). Splitter islands are generally raised median islands that serve many functions. While some older roundabouts were constructed with painted splitter islands, non-raised splitter islands negates many of their advantages. Splitter islands guide vehicles into the circulating roadway of the roundabout, initiating the vehicle’s deflection from the approach roadway. As such, they should be designed in conjunction with the vehicles’ curved path so that traversing vehicles have a smooth path through the roundabout. The deflection curve establishes the horizontal path of a vehicle going through the roundabout and defines the design speed of the roundabout. Therefore, the tighter the deflection curve, the slower the design speed of the roundabout (2). Splitter islands also serve to prevent wrong way movements. They create physical barriers whereby a vehicle wishing to traverse the roundabout the wrong way would have to travel over or through the splitter island. The approach ends of splitter islands can provide a physical narrowing of the approach roadway prior to the flare area. This narrowing of the approach road tends to slow vehicle approach speeds and alerts drivers to the upcoming roundabout. Splitter islands have a tendency to change driver expectancy as they approach the roundabout. Finally,
"On arterial road roundabouts, the splitter island should be of sufficient size to shelter a pedestrian (at least 2.4 meters wide) and be a reasonable target to be seen by approaching traffic. A minimum total area of 8 to 10 m2 should be provided on arterial road approaches" (3). Therefore, the splitter islands also act as pedestrian refuge islands. This allows a pedestrian to cross one direction of traffic, reach the splitter island, then cross the other. Separation of the crossing movement enhances pedestrian safety at roundabouts. The use of splitter islands for pedestrian refuge requires that they be designed to meet all applicable (including the Americans with Disabilities Act) requirements relating to pedestrian activity. Modern roundabouts often have beautified center islands. Both the Oregon (4) and Maryland (1) State guides for roundabouts provide directions on how to safely landscape the center island so as not to compromise visibility. The landscaping of the center island allows the roundabout to function as an urban design element. When trucks need to be accommodated at a roundabout, the design usually includes a truck apron. This is a part of the center island that is not fully raised above the circulating roadway pavement. Rather it is raised 5 to 10 cm (2 – 4 in). Truck aprons are most often constructed of a contrasting material to help differentiate them from the circulating roadway. The purpose of a truck apron is to provide an area where the rear wheels of a large vehicle can be accommodated while keeping the central island small (and therefore maintaining the needed travel path deflection). The Australian guide to traffic engineering practice for roundabouts (3) lists a number of methods of intersection control as well as where roundabouts are appropriate and inappropriate.
"Roundabouts may be appropriate in the following situations:
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* Standard intersections include YIELD, STOP and signal control
SECTION 5.5 – Conflict Analysis – CG, DW and JP
Many of the tapes were reviewed by members of the study team for the presence of conflicts. Despite these efforts, and the observation of over 180 hours of videotapes, only one conflict was observed. The one conflict occurred at one of the two-way STOP controlled intersections. Due to the insufficient number of observed conflicts, conflict conclusions could not be made.
SECTION 5.5 – Intersection Travel Speed
The speed at which a vehicle travels through an intersection can have a great impact on the severity of any crash that may occur. The intersection travel speed can even have an impact on the number of intersection crashes. This is due to the shorter decision times allowed to motorists (and non-motorists) when vehicles operate through a high speed intersection. Therefore, any intersection design feature that would tend to consistently slow vehicles would have a positive impact on safety. Roundabouts through their design (splitter islands, deflection curve) slow vehicles down.
SECTION 5.6 – Summary of Safety Evaluation
The literature contains clear evidence that roundabouts are safer than other forms of intersection traffic control. Safety benefits were found to apply to all intersection users including vehicles, pedestrians and bicyclists.
There were nine reported vehicle crashes in the three calendar years preceding roundabout installation at the intersection of Candlewood Drive/ Gary Avenue. These nine crashes were all right angle and involved a driver railing to yield right of way at the STOP controlled intersection. There were no reported vehicle crashes in 29 months after roundabout installation. This reduction in crashes was found to be statistically significant at the 95% confidence level. This reduction in right angle/ failure to yield crashes matches the safety benefits of roundabouts suggested by the literature.
The reduction in crashes from an average of three per year to zero resulted in a savings to society of crash costs.
An examination of traffic conflicts was performed at all three intersections (CG, DW and JP). Insufficient data was obtained from the conflict study to perform analysis or make conclusions with regard to intersection conflicts.
Overall, the safety of the Manhattan roundabout has been as predicted by the literature. This may suggest that safety at U.S. roundabouts may be similar to other countries where they are in use. However, there is relatively limited data from U.S. roundabouts, requiring researchers and practitioners to supplement their findings with foreign safety studies. Additional data regarding of the safety of U.S. roundabouts will accrue as more and more are built.
This study examined the operation of three intersections under similar traffic loadings. The data used to evaluate intersection operation was based on traffic counts. To assure that the three intersections were examined under similar loadings, comparable study hours were used instead of the more typical peak hours.
SECTION 6.1 – Daily Traffic Volumes
The process of gathering hourly traffic volumes began with an examination of the daily traffic at the three intersections under examination. Daily traffic counts were collected on the approach roads to each intersection. The approach counts were then examined to see when the traffic levels at the three intersections would be the same. This approach resulted in the study team using the terminology ‘study hours’ rather than the more typical ‘peak hours’. This process was explained in Chapters 2 and 3.
The initial statistical analysis centered on whether the hourly volumes for the three intersections could be considered to have come from the same population. If not, then the intersections could not be said to be operating under similar traffic conditions and the study design would be invalid. If the volumes were found to be similar, the data could be considered to be from one population and further analysis could be conducted. Two sets of count data were analyzed: raw traffic counts and SIDRA calculated traffic counts.
The raw traffic counts were those that were collected from the videotapes. These represent field measurements of the actual traffic flows. The SIDRA traffic counts are those that are calculated internally within the computer program from the raw counts. These counts are obtained by using equation 6.1.
VolSIDRA = Volhour / Peak Hour Factor (6.1)
The null hypothesis for testing both the raw and SIDRA traffic counts was that the three intersection count means were equal (see equation 6.2). This hypothesis was evaluated using the analysis of variance F-test. For the raw traffic counts, the resulting p-value was 0.2058. This p-value is greater than the stated alpha value of 0.05, which results in the test failing to reject the null hypothesis. The raw counts can therefore be considered to have come from the same population and the intersections can be said to be operating under similar conditions.
Ho: m CG = m DW = m JP, a = 0.05 (6.2)
Section 8.1 presents the results of the statistical testing on the SIDRA traffic count data showing that the three sets of data came from the same population.
SECTION 6.2 – Intersection Delay
Vehicles operating through an intersection experience two distinctive types of delay: geometric and queuing (3). Total vehicle delay is the sum of both types of delay.
Geometric delays are defined as those delays encountered during travel through the intersection. Geometric delays are measured as the time it takes a vehicle to traverse the intersection from entry point to exit point. It may be appropriate to include these delays in a cost analyses to account for the extra time it may take vehicles to travel around the middle island of a roundabout (13). Geometric delays are highest for left turn maneuvers where a vehicle must travel around the central island of a roundabout. U-turns are not included here as they are not possible at most non-roundabout intersections).
The other type of delay is operational. This is the delay that occurs when entering vehicles are delayed by the presence of vehicles already in the intersection. A 1994 report presented the operational delays through intersections under roundabout control and comparable two-way STOP controlled intersection using the NETwork SIMulation (NETSIM) computer method. The results of the comparison found that roundabouts operated better (less delays, stops, and higher average speed) than the best two-way STOP controlled intersection. In conclusion, "(t)he study also shows that the measures of effectiveness can be improved by converting the two-way stop intersections to traffic circles" (12). The Savage study dealt with a physical intersection design for roundabouts, not traffic circles as currently defined.
A New York study of intersection operations found the following behaviors present at roundabouts:
"Delays occur at the exits as well as the entrances, with weaving movements taking place between vehicles leaving the roundabout and those entering just upstream…. It is common to have an upstream exit affect a downstream entry…. It is unusual to have a downstream entry affect an upstream one" (6).
The New York study observations were possible through the use of an omnidirectional camera that could video all approaches at once as was done in this study.
SECTION 6.3 - Delay at the Manhattan Roundabout
Vehicle Delay was one of the measures of effectiveness used in the study of the Manhattan roundabout. This value was not measured directly in the field, or from the video collected for data purposes, but was obtained from calculated computer output of operation at the roundabout.
Hourly count data was input into SIDRA where one of the outputs was vehicle delay. SIDRA provided average vehicle delay by approach and for the entire intersection. Vehicle delay was examined in two ways.
Overall intersection average delay represents the total delay experienced by all entering vehicles divided by the total number of entering vehicles. This value is commonly used to generate an intersection level of service (LOS) value. LOS was not used in this study because all hour periods evaluated were found to operate at LOS ‘A’ at the intersection level and most approaches operated at the LOS ‘A’ level with the remaining operating at LOS ‘B’. Average vehicle delay was used as it provides a more precise measure of intersection operation than LOS.
Use of the SIDRA (version 5.20b) computer program allowed the comparison of the roundabout and traditional intersections under a number of varying traffic flow and control conditions.
Other researchers have performed computer analysis of operation of roundabouts. Savage (1994) reported on a comparison of capacities for roundabouts versus two-way STOP controlled intersections (12). The evaluation used the Highway Capacity Manual (HCM) (8) for determining operations at the STOP controlled intersections and a method developed by Troutbeck for the roundabouts. In all cases, operation of the roundabouts was better than the two-way STOP controlled intersections under similar traffic conditions (12).
SIDRA was used to evaluate the operation at the Candlewood Drive/ Gary Avenue roundabout. This model evaluates the operation using gap acceptance theories accepted by the Australian Road Authority and similar to those adopted for use by the HCM software. Competing computer models (RODEL and ARCADY) both use British empirical formulas for evaluating roundabout operation. There is some question as to the validity of the gap acceptance model at near capacity conditions (defined by SIDRA as v/c ³ 0.85). Since this study examined a low volume roundabout, the capacity issues surrounding gap acceptance theory near capacity do not apply.
SIDRA was installed to operate on the HCM methodology with vehicles driving on the right. The SIDRA software allows the user to choose the side of the road the traffic drives on as it is used throughout the world. Queue lengths were calculated using a vehicle length of 7.6 meters (25 feet). The Candlewood Drive/ Gary Avenue geometric features required for SIDRA were based on measurements taken from the construction plans. Sample results of the SIDRA analysis of the roundabout are provided in Appendices 3, 4 and 5. While SIDRA can provide a number of output measures, only those output values relating to the study measures of effectiveness are included in this report.
Using standard statistical techniques (15, 16), the output data from the SIDRA model was analyzed to determine how the operation of the roundabout (CG) compared to that of the two comparable two-way STOP controlled intersections (DW and JP). Twenty-two data points (hourly traffic counts) were available for each location. SIDRA provided data for each of six measures of effectiveness (MOEs). The statistical analysis of each MOE is presented individually in the following sections of the report.
SIDRA output for all sixty-six hourly traffic counts were evaluated using SAS. The statistical tests were performed using the Statistical Analysis Software (SAS) version 6.12 on the Kansas State University Unix operating system.
Two base assumptions exist for the use of most statistical tests: normality and equal variances. These two data assumptions were tested prior to determining what specific statistical test to use to evaluate the intersection operation as it related to the MOEs. The statistical process is summarized in Table 17.
The first test of normality was an evaluation of the relationship between the interquartile range and the standard deviation. The interquartile range is the difference between the 25th and 75th percentile values and was obtained from the SAS computer output. Similarly, the standard deviation for each data set was obtained from the SAS output. A normal distribution was indicated if the ratio of these two values was near 1.3. For the purposes of this study, this normality indicator was satisfied if the IQR/S value was within +/- 50% of the desired 1.3 value.
The Shapiro-Wilk test was also used for evaluating normality. This test is sensitive to small samples. To lessen the possibility of a false rejection, a small alpha value of 0.01 was chosen.
The determination of normality was based on the results of both tests. While in most cases, the results were similar (either showing normal or not normal); there was a range in the individual test results. Therefore, the normal determination was a judgement decision based on the two test results. Normality is identified as test ‘I’ in the MOE statistical tables.
The second area to be examined was that of equal variances. Equal variances between the three data sets were tested using the Levene’s test. This test is sensitive to normality assumptions; therefore, the null hypothesis was rejected only if the test p-value was less than 0.01 (a value). The equal variance test is identified as ‘II’ in the statistical summary tables.
One of three different statistical paths were chosen based on the results of the normality and equal variance tests (see tests III.A, IIIB and IIIC in Table 17).
If the data was found to be normally distributed with equal variances, the equality of the means was tested using the analysis of variance (ANOVA), F-test. An alpha value of 0.05 was used for this test. If the analysis of variance test resulted in a failure to reject the null hypothesis, then the statistical process stopped. Failure to reject the null hypothesis meant that the three means could be considered statistically equal. If the analysis of variance test resulted in a null hypothesis rejection, then the means were considered to be unequal. The next question was what intersection means were different. This was tested using Tukey’s and Duncan’s multiple comparison tests. This testing procedure is identified as ‘III.A.’ in the summary table and in the statistical tables for each MOE.
TABLE 17 - Statistical Test Summary Overview
Test: |
Comment: |
I. Normality |
|
- IQR/S » 1.3 |
Interquartile divided by standard deviation |
- Shapiro-Wilk P-value |
Ho: ‘have a normal distribution’, a = 0.01 |
II. Equal Variances |
|
Levene’s test |
Ho: s 2CG = s 2DW = s 2JP, a = 0.01 |
III.A. Normal w/ Equal Variances |
|
Analysis of Variance F-test |
Ho: m CG = m DW = m JP, a = 0.05 |
- Fail to reject – means considered equal, analysis stops |
|
- Reject – perform multiple comparisons |
|
Tukey’s and Duncan tests |
|
III.B. Normal w/ Unequal Variances |
|
Welch’s test |
Ho: m CG = m DW = m JP, a = 0.05 |
- Fail to reject – means considered equal, analysis stops |
|
- Reject – perform multiple comparisons |
|
Fisher Least Significant Difference test |
|
III.C. Not normal |
|
Kruskal-Wallis test |
Ho: ‘Population distributions are the same’, a = 0.05 |
- Fail to reject – distributions considered equal, analysis stops |
|
- Reject – Observe data plots to determine rank order |
If the data was found to be normally distributed, but did not have equal variances, the equality of means was tested using Welch’s test. An alpha value of 0.05 was used for this test. If the test returned a failure to reject the null hypothesis, the means could be considered equal and the statistical process stopped. If however, the test returned a rejection of the null hypothesis, the Fisher Least Significant Difference test was used to determine which means were statistically different. The normal with unequal variance tests are shown as ‘III.B’ in the summary statistical tables.
Finally, a non-parametric test was used if the data was found to be not normally distributed. The Kruskal-Wallis test was used to test whether the data populations were the same. An alpha value of 0.05 was used for this test. If this test returned a failure to reject the null hypothesis, then the statistical analysis stopped as the three populations could be considered statistically the same. If the null hypothesis was rejected, the populations could be considered statistically different. The specific differences in intersections MOE values were determined through observation of the data plots. The non-parametric test is identified as ‘III.C.’ in the statistical tables.
The next section of the report provides the results of the statistical analysis on the input and SIDRA traffic counts. This is followed by the results of the statistical analysis for each of the six measures of effectiveness. This chapter is concluded with a section that outlines the results of the MOE statistics for the evaluation of the roundabout and the two comparable intersections.
Plots are shown with lines between the data points for readability purposes only. No conclusions should be made that the lines indicate a statistical distribution. Note that the rankings used in the statistical tables are based on results of the statistical tests used and are provided to assist the understanding of the results for the reader.
SECTION 8.1 – Statistical Analysis of SIDRA Hourly Traffic Values (I)
SIDRA uses the peak traffic in an hour to evaluate the traffic conditions at an intersection. This traffic volume is calculated by dividing the actual hour volume by the peak hour factor.
The SIDRA hourly volumes were tested to see if they came from the same population using the null hypothesis shown in equation 6.2. The statistical testing went through the three statistical steps outlined previously. The results of that process are shown in Table 18.
TABLE 18 - Statistical Test Summary of SIDRA Traffic Volumes (I)
Test: |
Intersection: |
||
I. Normality |
CG |
DW |
JP |
- IQR/S » 1.3 |
1.4 |
1.8 |
1.4 |
- Shapiro-Wilk P-value |
0.30 |
0.004 |
0.51 |
Normal? |
Yes |
No |
Yes |
II. Equal Variances |
|||
Levene’s test |
P = 0.0001 < a = 0.01 Reject |
||
III.C. Not normal |
|||
Kruskal-Wallis test |
P = 0.435 > a = 0.05 Fail to reject |
The SIDRA traffic counts at two of the intersections were found to be normally distributed. The SIDRA counts at the DW intersection were borderline in one of the normality tests used and not normal in the other two. The three data sets were found to have unequal variances. Therefore, the null hypothesis was tested using the statistical non-parametric test, Kruskal-Wallis. This test produced a p-value that failed to reject the null hypothesis. Therefore, the three sets of SIDRA traffic counts can be considered to be statistically similar to one another. This conclusion allows the statistical evaluation of the SIDRA output.
The mean and standard deviation for the three sets of SIDRA traffic counts are shown in Table 19.
TABLE 19 - Summary Statistics of SIDRA Traffic Volumes (I)
Intersection: |
|||
Summary Statistics: |
CG |
DW |
JP |
Mean (m ) |
394 |
463 |
407 |
Standard Deviation (s ) |
67.8 |
138.0 |
95.6 |
SECTION 8.2 – Statistical Analysis of SIDRA Output for Roundabout and Comparable Intersections (I)
The results of the statistical evaluation for each individual MOE are provided in the following sections.
SECTION 8.2.1 – Statistical Analysis of 95 Percentile Queue (I)
The 95 percentile queue as described previously represents the bounds of the queue at the intersection. The 95 percentile queue values are shown with regard to the amount of entering traffic in Table 20 and Figure 15.
These values were tested statistically to determine if the three intersections (and two intersection control types) resulted in different values of 95 percentile queue (see Table 21).
The 95 percentile queue values were found to be normally distributed with equal variances. Therefore, the analysis of variance test was performed. This test rejected the null hypothesis of equal means. Tukey’s and Duncan’s multiple comparisons both concluded that all three means could be considered to be statistically different from one another. The mean and standard deviation values for the three intersections are shown in Table 22.
Therefore, for the MOE of 95 percentile queue, there appears to be no benefit or detriment to an intersection being controlled by either a two-way STOP or a roundabout at these traffic levels.
TABLE 20 - 95 Percentile Queue Values (I)
Candlewood Drive/ Gary Ave |
Dickens Ave/ Wreath Ave |
Juliette Ave/ Pierre St |
|||||||||
Traffic Volume |
Queue (m) (ft) |
Traffic Volume |
Queue (m) (ft) |
Traffic Volume |
Queue (m) (ft) |
||||||
287 |
7.9 |
26 |
305 |
3.7 |
12 |
261 |
8.5 |
28 |
|||
288 |
7.9 |
26 |
309 |
4.0 |
13 |
263 |
9.8 |
32 |
|||
333 |
9.4 |
31 |
311 |
4.0 |
13 |
281 |
10.7 |
35 |
|||
336 |
9.8 |
32 |
326 |
6.7 |
22 |
286 |
10.4 |
34 |
|||
347 |
9.8 |
32 |
329 |
4.0 |
13 |
324 |
11.3 |
37 |
|||
349 |
9.8 |
32 |
340 |
5.8 |
19 |
343 |
12.2 |
40 |
|||
354 |
10.4 |
34 |
341 |
5.5 |
18 |
347 |
12.2 |
40 |
|||
358 |
10.7 |
35 |
345 |
5.2 |
17 |
369 |
13.7 |
45 |
|||
361 |
9.1 |
30 |
359 |
4.3 |
14 |
371 |
13.4 |
44 |
|||
372 |
10.4 |
34 |
370 |
5.5 |
18 |
375 |
15.5 |
51 |
|||
377 |
10.4 |
34 |
406 |
5.5 |
18 |
390 |
15.5 |
51 |
|||
378 |
10.7 |
35 |
459 |
6.1 |
20 |
412 |
16.5 |
54 |
|||
389 |
9.8 |
32 |
481 |
5.8 |
19 |
426 |
15.8 |
52 |
|||
400 |
11.6 |
38 |
503 |
7.6 |
25 |
439 |
16.5 |
54 |
|||
405 |
11.6 |
38 |
553 |
10.1 |
33 |
452 |
18.0 |
59 |
|||
414 |
11.9 |
39 |
576 |
11.0 |
36 |
468 |
17.4 |
57 |
|||
446 |
12.8 |
42 |
594 |
8.8 |
29 |
476 |
18.6 |
61 |
|||
452 |
13.7 |
45 |
623 |
8.8 |
29 |
488 |
18.9 |
62 |
|||
454 |
13.1 |
43 |
657 |
11.3 |
37 |
498 |
20.1 |
66 |
|||
498 |
15.2 |
50 |
659 |
10.7 |
35 |
544 |
22.3 |
73 |
|||
522 |
16.2 |
53 |
667 |
11.6 |
38 |
573 |
23.8 |
78 |
|||
537 |
16.5 |
54 |
667 |
13.1 |
43 |
573 |
25.9 |
85 |
FIGURE 15 – 95 Percentile Queue Values (I)
Note: Lines between data points are used only to aid in the readability of the figure.
TABLE 21 - Statistical Test Summary of 95 Percentile Queue (I)
Test: |
Intersection: |
||
I. Normality |
CG |
DW |
JP |
- IQR/S » 1.3 |
1.3 |
1.7 |
1.4 |
- Shapiro-Wilk P-value |
0.079 |
0.030 |
0.670 |
Normal? |
Yes |
Yes |
Yes |
II. Equal Variances |
|||
Levene’s test |
P = 0.0127 < a = 0.01 Fail to reject |
||
III.A. Normal w/ Equal Variances |
|||
ANOVA test |
P = 0.0001 < a = 0.05 Reject |
||
Tukey’s groupings |
CG ¹ DW ¹ JP |
||
Duncan’s groupings |
CG ¹ DW ¹ JP |
TABLE 22 - 95 Percentile Mean and Standard Deviation (I)
Intersection: |
Mean(m ): |
Ranking*: |
Standard Deviation(s ): |
CG |
11 m (37 ft) |
B |
2.42 m (7.86 ft) |
DW |
7 m (24 ft) |
A |
2.97 m (9.65 ft) |
JP |
16 m (52 ft) |
C |
4.69 m (15.24 ft) |
*Means with the same letters are not statistically significantly different.
SECTION 8.2.2 – Statistical Analysis of Average Delay (I)
The average intersection delay as described previously represents the total vehicle delay for the hour divided by the number of entering vehicles. The SIDRA output values for the average vehicle delay are shown in Table 23 and Figure 16. The values were tested statistically to determine if the three intersections (and two intersection control types) resulted in different values of average delay.
TABLE 23 - Average Vehicle Delay (I)
Candlewood Dr/ Gary Ave |
Dickens Ave/ Wreath Ave |
Juliette Ave/ Pierre St |
|||||
Traffic Volume |
Delay (sec/veh) |
Traffic Volume |
Delay (sec/veh) |
Traffic Volume |
Delay (sec/veh) |
||
287 |
7.8 |
305 |
3.3 |
261 |
3.5 |
||
288 |
8.1 |
309 |
3.3 |
263 |
5.8 |
||
333 |
7.9 |
311 |
3.4 |
281 |
6.0 |
||
336 |
7.9 |
326 |
4.8 |
286 |
5.1 |
||
347 |
8.0 |
329 |
3.3 |
324 |
3.8 |
||
349 |
8.0 |
340 |
4.4 |
343 |
4.2 |
||
354 |
8.1 |
341 |
4.1 |
347 |
4.0 |
||
358 |
8.0 |
345 |
3.5 |
369 |
4.3 |
||
361 |
7.5 |
359 |
3.4 |
371 |
4.1 |
||
372 |
7.9 |
370 |
4.0 |
375 |
6.4 |
||
378 |
7.9 |
406 |
3.8 |
390 |
5.4 |
||
389 |
7.9 |
459 |
3.5 |
412 |
4.9 |
||
389 |
7.6 |
481 |
3.3 |
426 |
4.1 |
||
400 |
7.8 |
503 |
3.8 |
439 |
3.9 |
||
405 |
7.7 |
553 |
4.4 |
452 |
5.3 |
||
414 |
7.8 |
576 |
4.7 |
468 |
4.1 |
||
446 |
7.8 |
594 |
4.3 |
476 |
4.2 |
||
452 |
8.1 |
623 |
3.5 |
488 |
4.7 |
||
454 |
8.1 |
657 |
4.4 |
498 |
4.9 |
||
498 |
7.8 |
659 |
4.4 |
544 |
4.4 |
||
522 |
8.0 |
667 |
4.8 |
573 |
6.2 |
||
537 |
7.9 |
667 |
4.5 |
573 |
4.7 |
The average delay values were found to be normally distributed with unequal variances (see Table 24). Therefore, the means were evaluated using the Welch’s test. This test rejected the null hypothesis of equal means. Fisher’s multiple comparison concluded that all three means could be considered to be statistically different from one another. The mean and standard deviation values for the three intersections are shown in Table 25.
FIGURE 16 - Average Vehicle Delay (I)
Note: Lines between data points are used only to aid in the readability of the figure.
TABLE 24 - Statistical Test Summary for Average Vehicle Delay (I)
Test: |
Intersection: |
||
I. Normality |
CG |
DW |
JP |
- IQR/S » 1.3 |
1.3 |
1.8 |
1.5 |
- Shapiro-Wilk P-value |
0.084 |
0.013 |
0.130 |
Normal? |
Yes |
Yes |
Yes |
II. Equal Variances |
|||
Levene’s test |
P = 0.0001 < a = 0.01 Reject |
||
III.B. Normal w/ Unequal Variances |
|||
Welch’s test |
P = 0.0001 < a = 0.05 Reject |
||
Fishers LSD groupings |
CG ¹ DW ¹ JP |
TABLE 25 - Average Vehicle Delay Mean and Standard Deviation (I)
Intersection: |
Mean(m ): |
Ranking: |
Standard Deviation(s ): |
CG |
7.9 sec |
C |
0.160 sec |
DW |
4.0 sec |
A |
0.544 sec |
JP |
4.7 sec |
B |
0.826 sec |
Therefore, for the MOE of average delay, the two-way STOP controlled intersections appear to operate better than the roundabout controlled intersection.
This apparent advantage to the two-way STOP controlled intersections is due to the inherent priority given to the "main street" traffic at a two-way STOP controlled intersection. In some cases, this priority to the "main street" occurs at the cost of efficiency to the side street. Therefore, there may be great disparities between the overall intersection average delay value and the approach which experiences the worst delay. A roundabout evenly distributes intersection delays to all approaches not giving priority treatment to any one street or approach.
SECTION 8.2.3 – Statistical Analysis of Maximum Approach Delay (I)
The maximum approach delay was described previously. SIDRA provides delay for the entire intersection (average delay) and then apportions this value to the intersection approaches based on amount of entering traffic (see Table 26 and Figure 17).
The approach that experienced the highest average delay was evaluated.
TABLE 26 - Maximum Approach Average Vehicle Delay (I)
Candlewood Drive/ Gary Ave |
Dickens Ave/ Wreath Ave |
Juliette Avenue/ Pierre Street |
|||
Traffic Volume |
Delay (sec/veh) |
Traffic Volume |
Delay (sec/ veh) |
Traffic Volume |
Delay (sec/veh) |
287 |
8.4 |
305 |
9.6 |
261 |
10.1 |
288 |
8.8 |
309 |
8.4 |
263 |
9.7 |
333 |
8.6 |
311 |
8.9 |
281 |
9.8 |
336 |
8.5 |
326 |
10.0 |
286 |
10.0 |
347 |
9.2 |
329 |
8.7 |
324 |
10.1 |
349 |
9.0 |
340 |
9.5 |
343 |
10.6 |
354 |
8.7 |
341 |
8.7 |
347 |
10.7 |
358 |
8.6 |
345 |
9.6 |
369 |
10.6 |
361 |
9.0 |
359 |
9.0 |
371 |
10.7 |
372 |
9.0 |
370 |
8.3 |
375 |
10.5 |
378 |
8.6 |
406 |
8.8 |
390 |
10.7 |
389 |
9.0 |
459 |
9.0 |
412 |
10.7 |
389 |
9.0 |
481 |
8.9 |
426 |
11.3 |
400 |
8.8 |
503 |
9.3 |
439 |
11.2 |
405 |
9.0 |
553 |
10.3 |
452 |
10.9 |
414 |
8.6 |
576 |
11.7 |
468 |
11.5 |
446 |
9.2 |
594 |
9.2 |
476 |
11.8 |
452 |
8.7 |
623 |
10.5 |
488 |
11.2 |
454 |
8.8 |
657 |
10.3 |
498 |
11.5 |
498 |
9.0 |
659 |
9.8 |
544 |
12.2 |
522 |
9.0 |
667 |
10.4 |
573 |
11.8 |
537 |
9.2 |
667 |
9.9 |
573 |
12.2 |
FIGURE 17 - Maximum Approach Average Vehicle Delay (I)
Note: Lines between data points are used only to aid in the readability of the figure.
The maximum approach delay values were found to be normally distributed with unequal variances (see Table 27). Therefore, the means were evaluated using the Welch’s test. This test rejected the null hypothesis of equal means. Fisher’s multiple comparison concluded that all three means could be considered to be statistically different from one another. The mean and standard deviation values for the three intersections are shown in Table 28.
TABLE 27 - Statistical Test Summary for Maximum Approach Delay (I)
Test: |
Intersection: |
||
I. Normality |
CG |
DW |
JP |
- IQR/S » 1.3 |
1.7 |
1.3 |
1.4 |
- Shapiro-Wilk P-value |
0.69 |
0.24 |
0.47 |
Normal? |
Yes |
Yes |
Yes |
II. Equal Variances |
|||
Levene’s test |
P = 0.0002 < a = 0.01 Reject |
||
III.B. Normal w/ Unequal Variances |
|||
Welch’s test |
P = 0.0001 < a = 0.05 Reject |
||
Fishers LSD groupings |
CG ¹ DW ¹ JP |
Therefore, for the MOE of maximum approach delay, the two-way STOP controlled intersections appear to operate worse than the roundabout controlled intersection. This is due to the inherent priority given to the "main street" traffic at a two-way STOP controlled intersection. This priority results in severe delays being experienced by the side street traffic.
TABLE 28 - Maximum Approach Delay Mean and Standard Deviation (I)
Intersection: |
Mean(m ): |
Ranking: |
Standard Deviation(s ): |
CG |
8.9 sec |
A |
0.237 sec |
DW |
9.5 sec |
B |
0.823 sec |
JP |
10.9 sec |
C |
0.734 sec |
A roundabout evenly distributes intersection affects to all approaches not giving priority treatment to any one street or approach. The results of the analysis of maximum approach and average delay show this. While the average delay for the entire intersection may be worse at a roundabout carrying traffic volumes examined here, the disparity between the approach delays results in the maximum approach delay being better at the roundabout.
SECTION 8.2.4 – Statistical Analysis of Proportion Stopped (I)
The proportion stopped as described previously represents the proportion of entering vehicles stopped by the presence of a vehicle(s) already in the intersection. The values for proportion stopped can range from 0.0 to 1.0 (see Table 29 and Figure 18).
TABLE 29 - Proportion Stopped (I)
Candlewood Dr/ Gary Ave |
Dickens Ave/ Wreath Ave |
Juliette Ave/ Pierre St |
|||||
Traffic Volume |
Stopped |
Traffic Volume |
Stopped |
Traffic Volume |
Stopped |
||
287 |
0.15 |
305 |
0.11 |
261 |
0.21 |
||
288 |
0.16 |
309 |
0.12 |
263 |
0.17 |
||
333 |
0.17 |
311 |
0.11 |
281 |
0.20 |
||
336 |
0.18 |
326 |
0.15 |
286 |
0.21 |
||
347 |
0.18 |
329 |
0.12 |
324 |
0.23 |
||
349 |
0.18 |
340 |
0.15 |
343 |
0.25 |
||
354 |
0.19 |
341 |
0.15 |
347 |
0.25 |
||
358 |
0.19 |
345 |
0.13 |
369 |
0.27 |
||
361 |
0.15 |
359 |
0.12 |
371 |
0.26 |
||
372 |
0.18 |
370 |
0.15 |
375 |
0.24 |
||
378 |
0.18 |
406 |
0.14 |
390 |
0.26 |
||
389 |
0.18 |
459 |
0.14 |
412 |
0.30 |
||
389 |
0.13 |
481 |
0.14 |
426 |
0.29 |
||
400 |
0.19 |
503 |
0.16 |
439 |
0.30 |
||
405 |
0.19 |
553 |
0.17 |
452 |
0.28 |
||
414 |
0.18 |
576 |
0.17 |
468 |
0.30 |
||
446 |
0.19 |
594 |
0.18 |
476 |
0.32 |
||
452 |
0.21 |
623 |
0.15 |
488 |
0.29 |
||
454 |
0.21 |
657 |
0.18 |
498 |
0.31 |
||
498 |
0.21 |
659 |
0.19 |
544 |
0.34 |
||
522 |
0.23 |
667 |
0.20 |
573 |
0.32 |
||
537 |
0.22 |
667 |
0.19 |
573 |
0.34 |
The statistical testing performed here is for the proportion of vehicles from all approaches being stopped. As with previous MOEs the testing was done to determine if there were statistical differences in the amount of stopping experienced at the three intersections.
FIGURE 18 - Proportion Stopped (I)
Note: Lines between data points are used only to aid in the readability of the figure.
The proportion stopped values were found to be normally distributed with unequal variances (see Table 30). Therefore, the means were evaluated using the Welch’s test. This test rejected the null hypothesis of equal means. Fisher’s multiple comparison concluded that all three means could be considered to be statistically different from one another. The mean and standard deviation values for the three intersections are shown in Table 31.
TABLE 30 - Statistical Test Summary for Proportion Stopped (I)
Test: |
Intersection: |
||
I. Normality |
CG |
DW |
JP |
- IQR/S » 1.3 |
1.0 |
1.5 |
1.3 |
- Shapiro-Wilk P-value |
0.32 |
0.37 |
0.62 |
Normal? |
Yes |
Yes |
Yes |
II. Equal Variances |
|||
Levene’s test |
P = 0.0015 < a = 0.01 Reject |
||
III.B. Normal w/ Unequal Variances |
|||
Welch’s test |
P = 0.0001 < a = 0.05 Reject |
||
Fishers LSD groupings |
CG ¹ DW ¹ JP |
TABLE 31 - Proportion Stopped Mean and Standard Deviation (I)
Intersection: |
Mean(m ): |
Ranking: |
Standard Deviation(s ): |
CG |
0.18 |
B |
0.0236 |
DW |
0.15 |
A |
0.0267 |
JP |
0.27 |
C |
0.0466 |
Based on the statistical testing and the results shown for the proportion stopped means for the three intersections are different. However, upon examination of the intersection means, there appears to be no advantage or disadvantage for the roundabout or two-way STOP intersection control.
SECTION 8.2.5 – Statistical Analysis of Maximum Proportion Stopped (I)
The maximum proportion stopped as described previously represents the approach experiencing the highest level of vehicles being stopped by intersection traffic. These values can range from 0.0 to 1.0 (see Table 32 and Figure 19).
Statistical testing was performed to determine which, if any, of the intersections could be considered to be experiencing a different value of this MOE (see Table 33).
TABLE 32 - Maximum Approach Proportion Stopped (I)
Candlewood Dr/Gary Ave |
Dickens Ave/Wreath Ave |
Juliette Ave/Pierre St |
||||
Traffic Volume |
Proportion Stop |
Traffic Volume |
Proportion Stop |
Traffic Volume |
Proportion Stop |
|
287 |
0.21 |
305 |
0.36 |
261 |
0.32 |
|
288 |
0.22 |
309 |
0.33 |
263 |
0.24 |
|
333 |
0.22 |
311 |
0.34 |
281 |
0.24 |
|
336 |
0.22 |
326 |
0.35 |
286 |
0.27 |
|
347 |
0.22 |
329 |
0.35 |
324 |
0.32 |
|
349 |
0.24 |
340 |
0.37 |
343 |
0.39 |
|
354 |
0.23 |
341 |
0.34 |
347 |
0.40 |
|
358 |
0.24 |
345 |
0.38 |
369 |
0.37 |
|
361 |
0.24 |
359 |
0.36 |
371 |
0.37 |
|
372 |
0.25 |
370 |
0.35 |
375 |
0.30 |
|
378 |
0.23 |
406 |
0.39 |
390 |
0.36 |
|
389 |
0.24 |
459 |
0.41 |
412 |
0.43 |
|
389 |
0.26 |
481 |
0.43 |
426 |
0.43 |
|
400 |
0.27 |
503 |
0.44 |
439 |
0.43 |
|
405 |
0.25 |
553 |
0.47 |
452 |
0.36 |
|
414 |
0.27 |
576 |
0.51 |
468 |
0.44 |
|
446 |
0.26 |
594 |
0.46 |
476 |
0.47 |
|
452 |
0.27 |
623 |
0.49 |
488 |
0.43 |
|
454 |
0.27 |
657 |
0.51 |
498 |
0.42 |
|
498 |
0.27 |
659 |
0.49 |
544 |
0.49 |
|
522 |
0.32 |
667 |
0.49 |
573 |
0.43 |
|
537 |
0.30 |
667 |
0.49 |
573 |
0.50 |
FIGURE 19 - Maximum Approach Proportion Stopped (I)
Note: Lines between data points are used only to aid in the readability of the figure.
The proportion stopped values were found not to be normally distributed. Therefore, the distributions were evaluated using the Kruskal-Wallis test. This test rejected the null hypothesis of equal distributions. The mean and standard deviation values for the three intersections are shown in Table 34.
TABLE 33 - Statistical Test Summary for Maximum Approach Stopped (I)
Test: |
Intersection: |
||
I. Normality |
CG |
DW |
JP |
- IQR/S » 1.3 |
1.4 |
2.2 |
1.5 |
- Shapiro-Wilk P-value |
0.12 |
0.01 |
0.24 |
Normal? |
Yes |
No |
Yes |
II. Equal Variances |
|||
Levene’s test |
P = 0.0001 < a = 0.01 Reject |
||
III.C. Not Normal |
|||
Kruskal-Wallis test |
P = 0.0001 < a = 0.05 Reject |
||
Box plot observation |
CG < JP < DW |
TABLE 34 - Maximum Proportion Stopped Mean and Standard Deviation (I)
Intersection: |
Mean(m ): |
Standard Deviation(s ): |
CG |
0.25 |
0.0276 |
DW |
0.41 |
0.0646 |
JP |
0.38 |
0.0751 |
Therefore, for the MOE of maximum approach stopped, the two-way STOP controlled intersections both experienced higher maximum stop rates than the roundabout.
SECTION 8.2.6 – Statistical Analysis of Degree of Saturation (I)
The degree of saturation as described previously represents the amount of the intersection capacity that is being used by the stated traffic level. Degree of saturation is commonly referred to as the volume to capacity (v/c) ratio (see Table 35 and Figure 20). The degree of saturation values were tested to determine if any of the three intersections could be considered to operate at different level with regard to this MOE.
TABLE 35 - Degree of Saturation (I)
Candlewood Dr/ Gary Ave |
Dickens Ave/ Wreath Ave |
Juliette Ave/ Pierre St |
|||||
Traffic Volume |
Saturation |
Traffic Volume |
Saturation |
Traffic Volume |
Saturation |
||
288 |
0.080 |
305 |
0.053 |
261 |
0.058 |
||
287 |
0.061 |
309 |
0.059 |
263 |
0.125 |
||
333 |
0.069 |
311 |
0.061 |
281 |
0.133 |
||
336 |
0.073 |
326 |
0.085 |
286 |
0.098 |
||
347 |
0.080 |
329 |
0.054 |
324 |
0.086 |
||
349 |
0.082 |
340 |
0.067 |
343 |
0.095 |
||
354 |
0.074 |
341 |
0.071 |
347 |
0.086 |
||
358 |
0.079 |
345 |
0.063 |
369 |
0.103 |
||
361 |
0.090 |
359 |
0.061 |
371 |
0.097 |
||
372 |
0.078 |
370 |
0.083 |
375 |
0.194 |
||
378 |
0.080 |
406 |
0.101 |
390 |
0.142 |
||
389 |
0.094 |
459 |
0.078 |
412 |
0.166 |
||
389 |
0.118 |
481 |
0.084 |
426 |
0.123 |
||
400 |
0.102 |
503 |
0.082 |
439 |
0.096 |
||
405 |
0.103 |
553 |
0.165 |
452 |
0.188 |
||
414 |
0.097 |
576 |
0.187 |
468 |
0.117 |
||
446 |
0.105 |
594 |
0.136 |
476 |
0.109 |
||
452 |
0.103 |
623 |
0.113 |
488 |
0.163 |
||
454 |
0.115 |
657 |
0.190 |
498 |
0.195 |
||
498 |
0.124 |
659 |
0.188 |
544 |
0.142 |
||
522 |
0.150 |
667 |
0.184 |
573 |
0.253 |
||
537 |
0.139 |
667 |
0.174 |
573 |
0.224 |
FIGURE 20 - Degree of Saturation (I)
Note: Lines between data points are used only to aid in the readability of the figure.
The degree of saturation values were found not to be normally distributed (see Table 36). Therefore, the distributions were evaluated using the Kruskal-Wallis test. This test rejected the null hypothesis of equal distributions. Observing the box plots and mean values found the intersection ranking shown. The mean and standard deviation values for the three intersections are shown in Table 37.
Therefore, with regard to the degree of saturation, the roundabout operates better at the traffic levels analyzed than do two-way STOP controlled intersections.
TABLE 36 - Statistical Test Summary for Degree of Saturation (I)
Test: |
Intersection: |
||
I. Normality |
CG |
DW |
JP |
- IQR/S » 1.3 |
1.1 |
1.2 |
1.4 |
- Shapiro-Wilk P-value |
0.17 |
0.0008 |
0.18 |
Normal? |
Yes |
No |
Yes |
II. Equal Variances |
|||
Levene’s test |
P = 0.0007 < a = 0.01 Reject |
||
III.C. Not Normal |
|||
Kruskal-Wallis test |
P = 0.0068 < a = 0.05 Reject |
||
Box plot observation |
CG < DW < JP |
TABLE 37 - Degree of Saturation Mean and Standard Deviation (I)
Intersection: |
Mean(m ): |
Standard Deviation(s ): |
CG |
0.095 |
0.0231 |
DW |
0.106 |
0.0510 |
JP |
0.136 |
0.0500 |
SECTION 8.2.7 – Summary of Statistical Analysis of SIDRA Output (I)
The purpose of analyzing the MOE data was to determine if and how the three intersections (two intersection control types) differed in operation at the present traffic levels. There were two two-way STOP controlled intersections in this study: Dickens Avenue/ Wreath Avenue (DW) and Juliette Avenue/ Pierre Street (JP). There was one roundabout under observation: Candlewood Drive/ Gary Avenue (CG). The evaluation of the three intersections was done through statistical testing of the data. The results of that testing are shown in Table 38.
TABLE 38 - Summary of MOE Statistical Results - Analysis I
Measure of Effectiveness: |
Statistical Result: |
Operational Advantage: |
95 Percentile Queue |
DW < CG < JP |
None* |
Average Delay |
DW < JP < CG |
two-way STOP provides less average delay |
Maximum Approach Delay |
CG < DW < JP |
Roundabout provides lower maximum approach delay |
Proportion Stopped |
DW < CG < JP |
None* |
Maximum Approach Stopped |
CG < JP < DW |
Roundabout provides lower maximum approach stopped |
Degree of Saturation |
CG < DW < JP |
Roundabout provides lower degree of saturation |
Note that the ‘None’ response in the summary table does not indicate that there is not an advantage to one intersection control type over another; only that no statistical conclusion could be drawn.
All results shown in the table met the criteria to be considered statistically significant at the 95% confidence level.
Table 38 shows that there were two MOEs that produced no clear conclusion with regard to a preferred intersection control at the traffic level under study. These were the amount of 95% queue and proportion stopped.
Average delay was found to favor two-way STOP control at the traffic level under study. This result is different when the delays are examined on an approach by approach basis. A roundabout provides for the lowest maximum approach delay.
This apparent discrepancy in the delays at two-way STOPs and roundabouts becomes evident when examining the way in which right-of-way (ROW) is assigned. At two-way STOP intersections, there is preference given to traffic on the major street. The STOP controlled street is delayed by the stopping maneuver, even when no stop is needed to accommodate cross street traffic. If the STOP direction does not match the major traffic flow at the intersection, large delays may occur. Or, as happened at the JP intersection, if the major flow approaches to the intersection are perpendicular to one another, a two-way STOP control always penalizes one of these major approaches. This leads to large delays for the stopped major approach. As the direction of the STOP signs cannot adjust to traffic conditions, it is possible that over time, the major street or approaches do become stopped and the intersection operation degrades.
All approaches to a roundabout are YIELD controlled. Therefore, a roundabout allows equal access to the intersection from all approaches. While this resulted in higher overall delays at the intersection, delay equity was achieved. In other words, no approach received preferential treatment at the expense (high delay) of another.
At the traffic levels studies here, it becomes a choice of the intersection control designer whether to provide lower overall delay while penalizing one or more approaches with higher delays (i.e.: two-way STOP) or to minimize the worst approach delay through installation of a roundabout.
The maximum approach stopped is the least when a roundabout controls the intersection.
Degree of saturation is also the lowest under roundabout intersection traffic control. This MOE measures how much of the available intersection capacity is being used. Therefore, it can be concluded that at the traffic levels under study, a roundabout uses the available intersection capacity better than would two-way STOP control.
Overall, despite this roundabout operating at the low end of the scale for those in the United States with regard to traffic volume, it appeared to operate better than a comparable two-way STOP intersection.
This analysis examined only the operation of the Candlewood Drive/ Gary Avenue (CG) intersection; however, under four operational scenarios (Analysis II). Methods similar to the statistical analysis techniques used to compare the operation of the CG intersection with the two comparable intersections (analysis I) were used here. The four Analysis II scenarios were:
The four intersection scenarios were evaluated under twenty-two sets of traffic loadings. Those traffic loadings were the ones gathered from the field and previously used in Analysis I. Operation at the four intersection scenarios was modeled using SIDRA. The measures of effectiveness (MOEs) used in the analysis of the CG intersection scenarios as well as the statistical methodology was the same as used previously. The following sections contain the results of the statistical analysis of the intersection under the four intersection scenarios.
Plots are shown with lines between the data points for readability purposes only. No conclusions should be made as to the lines indicating the presence of a distribution. Note that the rankings used in the statistical tables are based on results of the statistical tests used and are provided to assist the understanding of the results for the reader.
SECTION 9.1 – 95 Percentile Queue at Candlewood Drive/Gary Avenue (II)
The 95 percentile queue as described previously represents the bounds of the queue at the intersection. The 95 percentile queue values are shown with regard to the amount of entering traffic in Table 39 and Figure 21.
These values were tested statistically to determine if the four intersection configurations resulted in different values of 95 percentile queue.
TABLE 39 - 95 Percentile Queues (II)
Traffic Volume (SIDRA Hour) |
two-way STOP |
Roundabout |
four-way STOP |
four-way STOP w/Turn Lanes |
287 |
35 |
26 |
50 |
37 |
288 |
39 |
26 |
49 |
34 |
333 |
42 |
31 |
61 |
46 |
336 |
43 |
32 |
63 |
45 |
347 |
39 |
32 |
72 |
51 |
349 |
45 |
32 |
69 |
53 |
354 |
45 |
34 |
70 |
50 |
358 |
48 |
35 |
70 |
49 |
361 |
51 |
30 |
62 |
46 |
372 |
49 |
34 |
79 |
52 |
377 |
51 |
34 |
67 |
51 |
378 |
50 |
35 |
68 |
52 |
389 |
58 |
32 |
67 |
47 |
400 |
52 |
38 |
74 |
65 |
405 |
53 |
38 |
78 |
65 |
414 |
53 |
39 |
73 |
57 |
446 |
64 |
42 |
85 |
71 |
452 |
63 |
45 |
91 |
68 |
454 |
63 |
43 |
92 |
67 |
498 |
70 |
50 |
91 |
80 |
522 |
76 |
53 |
104 |
94 |
537 |
78 |
54 |
110 |
92 |
The 95 percentile queue values were found to be normally distributed with unequal variances (see Table 40). Therefore, the means were evaluated using the Welch’s test. This test rejected the null hypothesis of equal means. Fisher’s multiple comparison concluded that the mean 95% queue value for the four-way STOP with turn lanes (4L) and the roundabout (RA) were statistically different from all others and that the two-way STOP and four-way STOP with single lane approaches were statistically similar. The mean and standard deviation values for the three intersections are shown in Table 41.
Therefore, the roundabout produces the lowest level of 95% queue over either the two-way or four-way STOP scenarios.
FIGURE 21 – 95 Percentile Queues (II)
Note: Lines between data points are used only to aid in the readability of the figure.
TABLE 40 - Statistical Test Summary for 95 Percentile Queues (II)
Test: |
Configuration: |
|||
I. Normality |
2S |
4L |
4S |
RA |
- IQR/S » 1.3 |
1.5 |
1.3 |
1.2 |
1.3 |
- Shapiro-Wilk P-value |
0.24 |
0.05 |
0.30 |
0.05 |
Normal? |
Yes |
Yes |
Yes |
Yes |
II. Equal Variances |
||||
Levene’s test |
P = 0.0324 < a = 0.01 Fail to reject |
|||
III.B. Normal w/ Unequal Variances |
||||
Welch’s test |
P = 0.0001 < a = 0.05 Reject |
|||
Fishers LSD groupings |
4S ¹ 4L = 2S ¹ RA |
TABLE 41 - 95 Percentile Queue Mean and Standard Deviation (II)
Configuration: |
Mean(m ): |
Ranking*: |
Standard Deviation(s ): |
2S |
53 ft (16 m) |
B |
11.8 ft (3.6 m) |
4L |
58 ft (18 m) |
B |
15.9 ft (4.9 m) |
4S |
75 ft (23 m) |
C |
15.6 ft (4.8 m) |
RA |
37 ft (11 m) |
A |
7.9 ft (2.4 m) |
*Means with the same letter are not statistically significantly different.
SECTION 9.2 – Average Delay for Candlewood Drive/Gary Avenue (II)
The average intersection delay as described previously represents the total vehicle delay for the hour divided by the number of entering vehicles. The SIDRA output values for the average vehicle delay are shown in Table 42 and Figure 22. The values were tested statistically to determine if the four intersection scenarios resulted in different values of average delay.
TABLE 42 - Average Vehicle Delay (II)
Traffic Volume (SIDRA Hour) |
two-way STOP |
Roundabout |
four-way STOP |
four-way STOP w/Turn Lanes |
||||
287 |
6.7 |
7.8 |
15.9 |
19.4 |
||||
288 |
9.3 |
8.1 |
17.7 |
20.7 |
||||
333 |
6.5 |
7.9 |
16.0 |
19.2 |
||||
336 |
8.2 |
7.9 |
17.0 |
18.9 |
||||
347 |
9.0 |
8.0 |
18.2 |
20.4 |
||||
349 |
8.3 |
8.0 |
16.2 |
19.7 |
||||
354 |
6.3 |
8.1 |
16.1 |
18.7 |
||||
358 |
7.0 |
8.0 |
16.9 |
19.1 |
||||
361 |
9.8 |
7.5 |
17.9 |
21.4 |
||||
372 |
6.8 |
7.9 |
18.0 |
20.2 |
||||
377 |
8.7 |
7.8 |
15.1 |
18.5 |
||||
378 |
7.0 |
7.9 |
16.9 |
19.7 |
||||
389 |
10.2 |
7.6 |
17.1 |
19.5 |
||||
400 |
8.2 |
7.8 |
14.4 |
18.7 |
||||
405 |
8.6 |
7.7 |
15.2 |
19.8 |
||||
414 |
6.5 |
7.8 |
16.1 |
19.6 |
||||
446 |
8.9 |
7.8 |
15.5 |
20.1 |
||||
452 |
6.8 |
8.1 |
16.6 |
19.5 |
||||
454 |
9.0 |
8.1 |
17.3 |
19.8 |
||||
498 |
9.0 |
7.8 |
23.1 |
19.8 |
||||
522 |
9.2 |
8.0 |
16.1 |
21.6 |
||||
537 |
9.6 |
7.9 |
16.5 |
21.7 |
The average delay values were found to be not normally distributed. Therefore, the distributions were evaluated using the Kruskal-Wallis test. This test rejected the null hypothesis of equal distributions. From the box plots and mean values the intersection configurations are ranked as shown in Table 43. The mean and standard deviation values for the four intersection configurations are shown in Table 44.
FIGURE 22 - Average Vehicle Delay (II)
Note: Lines between data points are used only to aid in the readability of the figure.
TABLE 43 - Statistical Test Summary for Average Delay (II)
Test: |
Configuration: |
|||
I. Normality |
2S |
4L |
4S |
RA |
- IQR/S » 1.3 |
1.8 |
1.1 |
0.8 |
1.3 |
- Shapiro-Wilk P-value |
0.045 |
0.102 |
0.000 |
0.097 |
Normal? |
Yes |
Yes |
No |
Yes |
II. Equal Variances |
||||
Levene’s test |
P = 0.0002 < a = 0.01 Reject |
|||
III.B. Not Normal |
||||
Kruskal-Wallis test |
P = 0.0001 < a = 0.05 Reject |
|||
Box plot observation |
RA = 2S < 4S < 4L |
TABLE 44 - Average Delay Mean and Standard Deviation (II)
Configuration: |
Mean(m ): |
Standard Deviation(s ): |
2S |
8.2 sec |
1.2 sec |
4L |
19.8 sec |
0.9 sec |
4S |
16.8 sec |
1.7 sec |
RA |
7.9 sec |
0.2 sec |
Therefore, based on the average delay MOE, the roundabout and two-way STOP control can be said to be statistically similar. Both are statistically better (lower average delay) than either of the four-way STOP configurations.
SECTION 9.3 – Maximum Approach Delay for Candlewood Drive/Gary Avenue (II)
SIDRA calculates delay for the entire intersection (average delay) and then apportions this value to the intersection approaches based on the amount of entering traffic. The SIDRA output for maximum approach delay is shown in Table 45 and Figure 23. The approach that experienced the highest average delay was evaluated here to see if there were differences between the four intersection scenarios.
The maximum approach delay values were found to be not normally distributed (Table 46). Therefore, the distributions were evaluated using the Kruskal-Wallis test. This test rejected the null hypothesis of equal distributions. From the box plots and mean values it can be seen that the roundabout experiences the lowest maximum approach average delay followed by the two-way STOP and then the four-way STOPs (RA<2S<4S,4SL). The mean and standard deviation values for the three intersections are shown in Table 47.
Therefore, based on the maximum approach delay MOE, the roundaobut controls the interseciton better than the other three intersection control configurations.
TABLE 45 - Maximum Approach Average Vehicle Delay (II)
Traffic Volume (SIDRA hour) |
two-way STOP |
Roundabout |
four-way STOP |
four-way STOP w/Turn Lanes |
287 |
13.7 |
8.4 |
24.1 |
31.9 |
288 |
12.8 |
8.8 |
31.4 |
40.1 |
333 |
13.8 |
8.6 |
24.0 |
29.5 |
336 |
11.8 |
8.5 |
24.6 |
24.3 |
347 |
12.1 |
9.2 |
32.6 |
28.5 |
349 |
11.4 |
9.0 |
30.8 |
36.4 |
354 |
13.1 |
8.7 |
22.8 |
25.9 |
358 |
13.5 |
8.6 |
22.2 |
24.2 |
361 |
14.2 |
9.0 |
28.8 |
35.8 |
372 |
13.8 |
9.0 |
28.0 |
30.8 |
377 |
11.3 |
8.8 |
28.4 |
35.6 |
378 |
13.9 |
8.6 |
22.2 |
30.5 |
389 |
13.6 |
9.0 |
32.9 |
37.5 |
400 |
11.6 |
8.8 |
19.7 |
28.0 |
405 |
11.9 |
9.0 |
22.6 |
32.6 |
414 |
14.6 |
8.6 |
24.2 |
28.3 |
446 |
12.0 |
9.2 |
26.4 |
36.2 |
452 |
13.9 |
8.7 |
22.3 |
25.2 |
454 |
12.1 |
8.8 |
30.4 |
28.5 |
498 |
12.7 |
9.0 |
65.0 |
32.6 |
522 |
13.4 |
9.0 |
23.4 |
33.5 |
537 |
13.2 |
9.2 |
27.2 |
38.1 |
FIGURE 23 - Maximum Approach Average Vehicle Delay (II)
Note: Lines between data points are used only to aid in the readability of the figure.
TABLE 46 - Statistical Test Summary for Maximum Approach Delay (II)
Test: |
Configuration: |
|||
I. Normality |
2S |
4L |
4S |
RA |
- IQR/S » 1.3 |
1.8 |
1.6 |
0.8 |
1.7 |
- Shapiro-Wilk P-value |
0.15 |
0.52 |
0.0001 |
0.13 |
Normal? |
Yes |
Yes |
No |
Yes |
II. Equal Variances |
||||
Levene’s test |
P = 0.0001 < a = 0.01 Reject |
|||
III.B. Not Normal |
||||
Kruskal-Wallis test |
P = 0.0001 < a = 0.05 Reject |
|||
Box plot observation |
RA < 2S < 4S < 4L |
TABLE 47 - Maximum Approach Delay Mean and Standard Deviation (II)
Configuration: |
Mean(m ): |
Standard Deviation(s ): |
2S |
12.9 sec |
1.0 sec |
4L |
31.5 sec |
4.7 sec |
4S |
27.9 sec |
9.1 sec |
RA |
8.8 sec |
0.2 sec |
SECTION 9.4 – Proportion Stopped for Candlewood Drive/Gary Avenue (II)
Statistical testing was performed to determine the proportion of vehicles from all approaches being stopped (see Table 48 and Figure 24). As with previous MOEs the testing was done to determine if there were statistical differences in the amount of stopping experienced at the four intersection scenarios (Table 49). The proportion stopped values were found to be normally distributed with equal variances. Therefore, the analysis of variance test was performed. This test rejected the null hypothesis of equal means. Tukey’s and Duncan’s multiple comparison tests both concluded that all four means could be considered statistically different from one another. The mean and standard deviation values for the three intersections are shown in Table 50.
TABLE 48 - Proportion Stopped (II)
Traffic Volume (SIDRA Hour) |
two-way STOP |
Roundabout |
four-way STOP |
four-way STOP w/Turn Lanes |
287 |
0.21 |
0.15 |
0.82 |
0.75 |
288 |
0.18 |
0.16 |
0.78 |
0.71 |
333 |
0.24 |
0.17 |
0.83 |
0.76 |
336 |
0.21 |
0.18 |
0.85 |
0.77 |
347 |
0.17 |
0.18 |
0.86 |
0.78 |
349 |
0.22 |
0.18 |
0.84 |
0.77 |
354 |
0.26 |
0.19 |
0.85 |
0.78 |
358 |
0.25 |
0.19 |
0.85 |
0.77 |
361 |
0.19 |
0.15 |
0.81 |
0.73 |
372 |
0.22 |
0.18 |
0.87 |
0.79 |
377 |
0.23 |
0.17 |
0.81 |
0.74 |
378 |
0.26 |
0.18 |
0.84 |
0.76 |
389 |
0.21 |
0.13 |
0.78 |
0.69 |
400 |
0.29 |
0.19 |
0.82 |
0.75 |
405 |
0.27 |
0.19 |
0.83 |
0.76 |
414 |
0.27 |
0.18 |
0.82 |
0.74 |
446 |
0.26 |
0.19 |
0.83 |
0.75 |
452 |
0.29 |
0.21 |
0.86 |
0.78 |
454 |
0.24 |
0.21 |
0.86 |
0.78 |
498 |
0.31 |
0.21 |
0.82 |
0.75 |
522 |
0.31 |
0.23 |
0.85 |
0.77 |
537 |
0.27 |
0.22 |
0.85 |
0.77 |
Based on the statistical testing and the results shown for the proportion stopped means for the four intersection configurations, the roundabout provides the best operation with respect to this MOE.
Note: Lines between data points are used only to aid in the readability of the figure.
TABLE 49 – Statistical Test Summary for Proportion Stopped (II)
Test: |
Configuration: |
|||
I. Normality |
2S |
4L |
4S |
RA |
- IQR/S » 1.3 |
1.5 |
0.8 |
1.3 |
0.9 |
- Shapiro-Wilk P-value |
0.71 |
0.02 |
0.10 |
0.52 |
Normal? |
Yes |
Yes |
Yes |
Yes |
II. Equal Variances |
||||
Levene’s test |
P = 0.0101 < a = 0.01 Fail to reject |
|||
III.A. Normal w/ Equal Variances |
||||
ANOVA test |
P = 0.0001 < a = 0.05 Reject |
|||
Tukey’s groupings |
RA ¹ 2S ¹ 4L ¹ 4S |
|||
Duncan’s groupings |
RA ¹ 2S ¹ 4L ¹ 4S |
TABLE 50 - Proportion Stopped Mean and Standard Deviation (II)
Configuration: |
Mean(m ): |
Ranking: |
Standard Deviation(s ): |
2S |
0.24 |
B |
0.04 |
4L |
0.76 |
C |
0.02 |
4S |
0.83 |
D |
0.02 |
RA |
0.18 |
A |
0.02 |
SECTION 9.5 – Maximum Proportion Stopped for Candlewood Drive/Gary Avenue (II)
The proportion stopped values (see Table 51 and Figure 25) were found not to be normally distributed. Therefore, the distributions were evaluated using the Kruskal-Wallis test. This test rejected the null hypothesis of equal distributions. From the box plots and mean values the intersection ranking were determined to be as shown in Table 52. The mean and standard deviation values for the three intersections are shown in Table 53.
Therefore, based on the maximum approach proportion stopped MOE, the roundabout performed better than all of the other intersection control scenarios.
TABLE 51 - Maximum Approach Proportion Stopped (II)
Traffic Volume (SIDRA hour) |
two-way STOP |
Roundabout |
four-way STOP |
four-way STOP w/Turn Lanes |
287 |
0.33 |
0.21 |
0.89 |
0.82 |
288 |
0.22 |
0.22 |
0.95 |
0.89 |
333 |
0.26 |
0.22 |
0.91 |
0.84 |
336 |
0.27 |
0.22 |
0.90 |
0.82 |
347 |
0.21 |
0.22 |
0.96 |
0.88 |
349 |
0.30 |
0.24 |
0.96 |
0.89 |
354 |
0.38 |
0.23 |
0.92 |
0.84 |
358 |
0.28 |
0.24 |
0.90 |
0.82 |
361 |
0.23 |
0.24 |
0.94 |
0.87 |
372 |
0.40 |
0.25 |
0.94 |
0.87 |
377 |
0.27 |
0.23 |
0.96 |
0.89 |
378 |
0.39 |
0.23 |
0.91 |
0.84 |
389 |
0.24 |
0.26 |
0.98 |
0.90 |
400 |
0.35 |
0.27 |
0.93 |
0.87 |
405 |
0.32 |
0.25 |
0.96 |
0.89 |
414 |
0.30 |
0.27 |
0.91 |
0.83 |
446 |
0.33 |
0.26 |
0.98 |
0.91 |
452 |
0.44 |
0.27 |
0.92 |
0.84 |
454 |
0.31 |
0.27 |
0.95 |
0.87 |
498 |
0.35 |
0.27 |
0.95 |
0.89 |
522 |
0.38 |
0.32 |
0.96 |
0.88 |
537 |
0.32 |
0.30 |
0.99 |
0.91 |
FIGURE 25 - Maximum Approach Proportion Stopped (II)
Note: Lines between data points are used only to aid in the readability of the figure.
TABLE 52 - Statistical Test Summary for Maximum Approach Stopped (II)
Test: |
Configuration: |
|||
I. Normality |
2S |
4L |
4S |
RA |
- IQR/S » 1.3 |
1.3 |
1.7 |
1.7 |
1.3 |
- Shapiro-Wilk P-value |
0.89 |
0.04 |
0.33 |
0.10 |
Normal? |
Yes |
Yes |
Yes |
Yes |
II. Equal Variances |
||||
Levene’s test |
P = 0.0001 < a = 0.01 Reject |
|||
III.B. Normal w/ Unequal Variances |
||||
Welch’s test |
P = 0.0001 < a = 0.05 Reject |
|||
Fishers LSD groupings |
RA ¹ 2S ¹ 4L ¹ 4S |
TABLE 53 - Maximum Approach Stopped Mean and Standard Deviation (II)
Configuration: |
Mean(m ): |
Ranking: |
Standard Deviation(s ): |
2S |
0.31 |
B |
0.06 |
4L |
0.87 |
C |
0.03 |
4S |
0.94 |
D |
0.03 |
RA |
0.25 |
A |
0.03 |
SECTION 9.6 – Statistical Analysis of Degree of Saturation (II)
The degree of saturation values ratio (see Table 54 and Figure 26) were found to be normally distributed (see Table 55). The means were evaluated using the Welch’s test. This test rejected the null hypothesis of equal means. Fisher’s multiple comparison concluded that all four means could be considered statistically different from one another. The mean and standard deviation values for the three intersections are shown in Table 56. It can be seen that with regards to the degree of saturation, the roundabout operates at a lower degree of saturation value than the other three scenarios.
TABLE 54 - Degree of Saturation (II)
Traffic Volume (SIDRA hour) |
two-way STOP |
Roundabout |
four-way STOP |
four-way STOP w/Turn Lanes |
287 |
0.107 |
0.080 |
0.176 |
0.251 |
288 |
0.154 |
0.061 |
0.199 |
0.264 |
333 |
0.109 |
0.069 |
0.199 |
0.273 |
336 |
0.122 |
0.073 |
0.201 |
0.309 |
347 |
0.133 |
0.080 |
0.226 |
0.326 |
349 |
0.137 |
0.082 |
0.215 |
0.335 |
354 |
0.126 |
0.074 |
0.218 |
0.295 |
358 |
0.110 |
0.079 |
0.213 |
0.262 |
361 |
0.197 |
0.090 |
0.259 |
0.330 |
372 |
0.142 |
0.078 |
0.270 |
0.347 |
377 |
0.157 |
0.091 |
0.207 |
0.324 |
378 |
0.135 |
0.080 |
0.234 |
0.309 |
389 |
0.259 |
0.118 |
0.280 |
0.340 |
400 |
0.190 |
0.102 |
0.270 |
0.406 |
405 |
0.184 |
0.103 |
0.310 |
0.432 |
414 |
0.118 |
0.097 |
0.245 |
0.340 |
446 |
0.185 |
0.105 |
0.310 |
0.405 |
452 |
0.163 |
0.103 |
0.297 |
0.414 |
454 |
0.212 |
0.115 |
0.286 |
0.454 |
498 |
0.230 |
0.124 |
0.329 |
0.460 |
522 |
0.280 |
0.150 |
0.364 |
0.575 |
537 |
0.255 |
0.139 |
0.402 |
0.506 |
FIGURE 26 - Degree of Saturation (II)
Note: Lines between data points are used only to aid in the readability of the figure.
TABLE 55 - Statistical Test Summary for Degree of Saturation (II)
Test: |
Configuration: |
|||
I. Normality |
2S |
4L |
4S |
RA |
- IQR/S » 1.3 |
1.4 |
1.3 |
1.3 |
1.1 |
- Shapiro-Wilk P-value |
0.05 |
0.09 |
0.20 |
0.15 |
Normal? |
Yes |
Yes |
Yes |
Yes |
II. Equal Variances |
||||
Levene’s test |
P = 0.0001 < a = 0.01 Reject |
|||
III.B. Normal w/ Unequal Variances |
||||
Welch’s test |
P = 0.0001 < a = 0.05 Reject |
|||
Fishers LSD groupings |
RA ¹ 2S ¹ 4L ¹ 4S |
TABLE 56 - Degree of Saturation Mean and Standard Deviation (II)
Configuration: |
Mean (m ): |
Ranking: |
Standard Deviation (s ): |
2S |
0.168 |
B |
0.052 |
4L |
0.362 |
D |
0.085 |
4S |
0.260 |
C |
0.059 |
RA |
0.095 |
A |
0.023 |
SECTION 9.7 – Summary of Statistical Analysis II
The purpose of analyzing the MOE data was to determine if and how the four intersection control scenarios differed in operation. The same traffic count data was evaluated using the existing roundabout intersection configuration, the pre-roundabout two-way STOP configuration, and two possible four-way STOP configurations. The results of the statistical analysis of these four intersection configurations as evaluated by the six measures of effectiveness chosen are shown in Table 57.
TABLE 57 - Summary of MOE Statistical Results - Analysis II
Measure of Effectiveness: |
Statistical Result: |
Traffic Control Advantage: |
95 Percentile Queue |
RA < 4L = 2S < 4S |
Roundabout |
Average Delay |
RA = 2S < 4S < 4L |
Roundabout/ two-way STOP |
Maximum Approach Delay |
RA < S2 < 4S < 4L |
Roundabout |
Proportion Stopped |
RA < 2S < 4L < 4S |
Roundabout |
Maximum Approach Stopped |
RA < 2S < 4L < 4S |
Roundabout |
Degree of Saturation |
RA < 2S < 4S < 4L |
Roundabout |
Under all conditions except one, the roundabout performed statistically better than the previous two-way STOP intersection control. Under all measures of effectiveness, the roundabout was found to operate statistically better than the two four-way STOP scenarios tested. All statistical testing yielded results at the 95% confidence level.
This study compared the operation of a roundabout to similar intersections (Analysis I) and compared the roundabout intersection to three other traffic control scenarios (Analysis II). Analysis I included the roundabout and two comparable two-way STOP intersections. Analysis II included the roundabout intersection and two-way STOP, four-way STOP and four-way STOP with separate left turn intersection control/ configuration scenarios.
The primary focus of this research study was to evaluate the operation and safety of an existing roundabout located in Manhattan, Kansas. The Manhattan roundabout was constructed in the fall of 1997. The roundabout operates with approximately 4,600 daily entering vehicles and 310 peak hour entering vehicles.
Analysis I examined the operation of the roundabout intersection relative to two comparable intersections. The two comparable intersections operated under two-way STOP traffic control. The two comparable intersections carried approximately 7,600 and 9,300 daily entering vehicles, and 680 to 1,030 peak hour entering vehicles. To allow comparison of the three intersections under similar traffic loadings, study hours were chosen for the two STOP controlled intersections that matched the traffic levels at the roundabout.
Intersection operation was evaluated using six measures of effectiveness (MOEs). Values for these MOEs were obtained from the computer program SIDRA. SIDRA is an Australian simulation program that can evaluate the operation of a roundabout as well as signalized and unsignalized intersections. The results of the MOE evaluation for the three intersections are shown in Table 58.
TABLE 58 - Summary of MOE Statistical Results - Analysis I
Measure of Effectiveness: |
Statistical Result: |
Traffic Control Advantage: |
95 Percentile Queue |
DW < CG < JP |
None* |
Average Delay |
DW < JP < CG |
two-way STOP provides less average delay |
Maximum Approach Delay |
CG < DW < JP |
Roundabout provides lower maximum approach delay |
Proportion Stopped |
DW < CG < JP |
None* |
Maximum Approach Stopped |
CG < JP < DW |
Roundabout provides lower maximum approach stopped |
Degree of Saturation |
CG < DW < JP |
Roundabout provides lower degree of saturation |
From Analysis I, 95 percentile queue and proportion stopped produced statistical results that did not allow conclusions to be drawn for these two MOEs. At this traffic level, additional study is needed before such conclusions can be drawn for these two MOEs.
The roundabout produced a higher value of average vehicle delay with regard to all entering vehicles. This was the only MOE where the two-way STOP intersections were found to operate better than the roundabout. However, when the values for delay on the approach which experienced the highest amount of vehicle delay was examined, the roundabout was found to operate better than the two-way STOP intersections.
The maximum proportion stopped and degree of saturation MOEs were found to be statistically significantly better at the roundabout over the two comparable STOP controlled intersections.
The roundabout was also evaluated against three intersection control/ configuration scenarios (Analysis II). For this analysis, the traffic levels found at the roundabout were evaluated using two-way STOP and two four-way STOP scenarios. In all but one case, the roundabout operated better than the two-way STOP control. In all cases, the roundabout was found to operate better than the four-way STOP scenarios (see Table 59).
TABLE 59 - Summary of MOE Statistical Results - Analysis II
Measure of Effectiveness: |
Statistical Result: |
Traffic Control Advantage: |
95% Queue |
RA < 4L = 2S < 4S |
Roundabout |
Average Delay |
RA = 2S < 4S < 4L |
Roundabout/ two-way stop |
Maximum Approach Delay |
RA < S2 < 4S < 4L |
Roundabout |
Proportion Stopped |
RA < 2S < 4L < 4S |
Roundabout |
Maximum Approach Stopped |
RA < 2S < 4L < 4S |
Roundabout |
Degree of Saturation |
RA < 2S < 4S < 4L |
Roundabout |
The safety of a roundabout compared to other forms of intersection control has been shown to be safer by 40 – 70 percent in many international studies. Conflict analysis was used in an attempt to examine the relative safety of the three Manhattan intersections studied. Over 180 hours of videotape was reviewed of operation at the three intersections and only one conflict was found. This did not allow for any conclusions to be drawn for conflicts with regard to safety.
A before and after study of crashes was performed for the Manhattan roundabout. In the three years prior to roundabout installation, there were nine total crashes. Of these, four involved injuries and all were right angle crashes where one driver violated the right of way of the other. In the twenty-nine months since roundabout installation, there have been no reported traffic crashes.
From the results of this study the following conclusions are drawn.
APPENDIX 1 – Advisory Committee
An advisory committee was formed to guide the project design, oversee data completeness, and review conclusions. The advisory committee was comprised of the following members:
Principal Investigators:
Committee Members:
APPENDIX 2 – Annotated Bibliography
This research identified six primary sources for information regarding roundabouts (1, 2, 3, 4, 5, and 17). These six references include major design guides from U.S. and overseas locations. Each of these six primary resources could be taken individually and would provide the reader with a single source view of modern roundabout use, design, capacity and safety. However, taken in combination, they present a broad picture of the modern roundabout, and how its use applies to locals within the United States.
Each reference cited is accompanied by a brief summary of the item.
The reader is cautioned that many of the references interuse the terminology of ‘roundabout’ and ‘modern roundabouts’ with ‘traffic circle’. Typically when referring to traffic calming techniques, the reference is presenting information with regard to ‘traffic circles’. In the rest of these sources, the information relates to ‘roundabouts’ and ‘modern roundabouts’.
Other Resources on Roundabouts:
APPENDIX 3 – Sample SIDRA Results – Candlewood Drive/ Gary Avenue
APPENDIX 4 – Sample SIDRA Results – Dickens Avenue/ Wreath Avenue
APPENDIX 5 – Sample SIDRA Results – Juliette Avenue/ Pierre Street
APPENDIX 6 – Local News Articles, Manhattan (KS) Mercury
Busy intersection to get "roundabout" rerouting (9/8/97)
Straight ahead for a roundabout (9/10/97)
Kimball roundabout? City favors one, but fears you won't (3/10/98)
Roundabouts: City likes them, police don't (4/2/98)