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Evaluating and addressing the effects of regression to the mean phenomenon in estimating collision frequencies on urban high collision concentration locations
Affiliation:1. The Cho Chun Shik Graduate School of Green Transportation, Korea Advanced Institute of Science and Technology, 193, Munji-ro, Yuseong-gu, Daejeon 34051, Republic of Korea;2. Khalifa University of Science and Technology, Department of Civil Infrastructure and Environmental Engineering, Abu Dhabi 127788, United Arab Emirates
Abstract:Two different methods for addressing the regression to the mean phenomenon (RTM) were evaluated using empirical data:
  • 1The Empirical Bayes (EB) method, which combines observed collision data and Safety Performance Functions (SPF) to estimate expected collision frequency of a site.
  • 2Continuous Risk Profile (CRP), which estimates true collision profile constructed after filtering out the noise.
Data from 110 miles of freeway located in California were used to evaluate the performance of the EB and CRP methods in addressing RTM. CRP outperformed the EB method in estimating collision frequencies in selected high collision concentration locations (HCCLs). Findings indicate that the performance of the EB method can be markedly affected when SPF is biased, while the performance of CRP remains much less affected. The CRP method was more effective in addressing RTM.
Keywords:Random noise  Safety performance function  The regression to the mean  Empirical bayes method  Continuous risk profile
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