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<br /> 27 <br /> <br />The final model provides a framework to test the hypothesis of whether marked crosswalks have the same <br />expected number of pedestrian crashes in 5 years controlling for the effects of pedestrian ADT, vehicle <br />traffic ADT, number of lanes, and presence of a raised median. Because the interaction between traffic <br />ADT and the indicator for marked crosswalk, ADT*CM ($9), was statistically significant, it was concluded <br />that the presence of a marked crosswalk increases the expected number of pedestrian crashes in 5 years; <br />however, the effect size is dependent on the traffic ADT and number of lanes. <br /> <br />There is also a statistically significant interaction between pedestrian volume and the indicator for marked <br />crosswalk, which was interpreted as the effect size of the presence of a marked crosswalk as dependent on <br />the pedestrian volume. The lane indicator variables compare two lanes with five or more, and three or <br />four lanes with five lanes or more. A two-degrees-of-freedom test for any lane effect has an associated p- <br />value of 0.1071. The two median variables compare no median with other median, and raised median <br />with other median. A two-degrees-of-freedom test for any median effect has an associated p-value of <br />0.0531. The number of lanes, type of median, pedestrian volume, and ADT are all intracorrelated. This <br />correlation is evidenced by the fact that ADT increases as the number of lanes increases. Also, sites with <br />two lanes do not have a median. The number of lanes was also included in the model and probably is <br />expressed indirectly through ADT and median type. In the final model form, the regional effect was only <br />marginally significant, and including the regional variables (i.e., western versus eastern region) into the <br />model had virtually no influence on the crash effects of the other variables. Thus, the regional variable <br />was not included in the final model. <br /> <br />Further discussion of the final model relative to the goodness-of-fit measures, residuals, and possible <br />biases of multicollinearity is contained in appendix B. In short, the final model was found to be valid and <br />appropriate for the available database. A considerable amount of data exploration was also conducted <br />during the analysis phase of study before developing the final model. <br /> <br />Pedestrian Crash Plots <br /> <br />The final pedestrian crash prediction model can be illustrated by inputting various values of pedestrian <br />ADT, traffic ADT, number of lanes (two lanes, four lanes, or more), and median type (raised median or <br />no raised median). All values used in the following figures (and in appendix B) are well within the actual <br />distributions of the data sample. <br /> <br />Figures 13 through 17 and the figures in appendix C (figures 45 through 64) all contain plots of response <br />curves based on the final negative binomial prediction model. Each of these graphs shows a solid line for <br />both marked and unmarked locations. For each solid line, there is a dashed line above and below it <br />representing the upper and lower bounds of the 95 percent confidence intervals. <br /> <br />The relationship of pedestrian crashes in a 5-year period is shown in figure 13 for a range of pedestrian <br />ADTs for traffic ADT of 5,000 using the final crash prediction model. Notice that there is no difference <br />in predicted pedestrian crashes in marked versus unmarked crosswalks for these conditions. <br /> <br />Plots of pedestrian crashes in a 5-year period from the model are shown for two-lane roads as a function <br />of traffic ADT in figure 14 (where pedestrian ADT = 300). Note that there is little if any difference in <br />pedestrian crashes between marked and unmarked crosswalks, even for traffic ADTs as high as 15,000. <br />In fact, for marked crosswalks with traffic ADT of 15,000 and 300 pedestrians per day, expected <br />pedestrian crashes are 0.10 per 5 years, or 1 pedestrian crash per 50 years per site. <br /> <br />Figure 15 illustrates the predicted pedestrian crashes for a five-lane pedestrian crossing with no median <br />and a pedestrian ADT of 250. As traffic ADT increases, pedestrian crashes stay relatively consistent on